// // Copyright (c) 2009 Mikko Mononen memon@inside.org // // This software is provided 'as-is', without any express or implied // warranty. In no event will the authors be held liable for any damages // arising from the use of this software. // Permission is granted to anyone to use this software for any purpose, // including commercial applications, and to alter it and redistribute it // freely, subject to the following restrictions: // 1. The origin of this software must not be misrepresented; you must not // claim that you wrote the original software. If you use this software // in a product, an acknowledgment in the product documentation would be // appreciated but is not required. // 2. Altered source versions must be plainly marked as such, and must not be // misrepresented as being the original software. // 3. This notice may not be removed or altered from any source distribution. // #include #include #include #include #include "DetourNavMesh.h" #include "DetourNode.h" #include "DetourCommon.h" inline int opposite(int side) { return (side+4) & 0x7; } inline bool overlapBoxes(const float* amin, const float* amax, const float* bmin, const float* bmax) { bool overlap = true; overlap = (amin[0] > bmax[0] || amax[0] < bmin[0]) ? false : overlap; overlap = (amin[1] > bmax[1] || amax[1] < bmin[1]) ? false : overlap; overlap = (amin[2] > bmax[2] || amax[2] < bmin[2]) ? false : overlap; return overlap; } inline bool overlapRects(const float* amin, const float* amax, const float* bmin, const float* bmax) { bool overlap = true; overlap = (amin[0] > bmax[0] || amax[0] < bmin[0]) ? false : overlap; overlap = (amin[1] > bmax[1] || amax[1] < bmin[1]) ? false : overlap; return overlap; } static void calcRect(const float* va, const float* vb, float* bmin, float* bmax, int side, float padx, float pady) { if (side == 0 || side == 4) { bmin[0] = min(va[2],vb[2]) + padx; bmin[1] = min(va[1],vb[1]) - pady; bmax[0] = max(va[2],vb[2]) - padx; bmax[1] = max(va[1],vb[1]) + pady; } else if (side == 2 || side == 6) { bmin[0] = min(va[0],vb[0]) + padx; bmin[1] = min(va[1],vb[1]) - pady; bmax[0] = max(va[0],vb[0]) - padx; bmax[1] = max(va[1],vb[1]) + pady; } } inline int computeTileHash(int x, int y, const int mask) { const unsigned int h1 = 0x8da6b343; // Large multiplicative constants; const unsigned int h2 = 0xd8163841; // here arbitrarily chosen primes unsigned int n = h1 * x + h2 * y; return (int)(n & mask); } inline unsigned int allocLink(dtMeshTile* tile) { if (tile->linksFreeList == DT_NULL_LINK) return DT_NULL_LINK; unsigned int link = tile->linksFreeList; tile->linksFreeList = tile->links[link].next; return link; } inline void freeLink(dtMeshTile* tile, unsigned int link) { tile->links[link].next = tile->linksFreeList; tile->linksFreeList = link; } inline bool passFilter(dtQueryFilter* filter, unsigned short flags) { return (flags & filter->includeFlags) != 0 && (flags & filter->excludeFlags) == 0; } ////////////////////////////////////////////////////////////////////////////////////////// dtNavMesh::dtNavMesh() : m_tileWidth(0), m_tileHeight(0), m_maxTiles(0), m_tileLutSize(0), m_tileLutMask(0), m_posLookup(0), m_nextFree(0), m_tiles(0), m_saltBits(0), m_tileBits(0), m_polyBits(0), m_nodePool(0), m_openList(0) { m_orig[0] = 0; m_orig[1] = 0; m_orig[2] = 0; for (int i = 0; i < DT_MAX_AREAS; ++i) m_areaCost[i] = 1.0f; } dtNavMesh::~dtNavMesh() { for (int i = 0; i < m_maxTiles; ++i) { if (m_tiles[i].data && m_tiles[i].ownsData) { delete [] m_tiles[i].data; m_tiles[i].data = 0; m_tiles[i].dataSize = 0; } } delete m_nodePool; delete m_openList; delete [] m_posLookup; delete [] m_tiles; } bool dtNavMesh::init(const float* orig, float tileWidth, float tileHeight, int maxTiles, int maxPolys, int maxNodes) { vcopy(m_orig, orig); m_tileWidth = tileWidth; m_tileHeight = tileHeight; // Init tiles m_maxTiles = maxTiles; m_tileLutSize = nextPow2(maxTiles/4); if (!m_tileLutSize) m_tileLutSize = 1; m_tileLutMask = m_tileLutSize-1; m_tiles = new dtMeshTile[m_maxTiles]; if (!m_tiles) return false; m_posLookup = new dtMeshTile*[m_tileLutSize]; if (!m_posLookup) return false; memset(m_tiles, 0, sizeof(dtMeshTile)*m_maxTiles); memset(m_posLookup, 0, sizeof(dtMeshTile*)*m_tileLutSize); m_nextFree = 0; for (int i = m_maxTiles-1; i >= 0; --i) { m_tiles[i].next = m_nextFree; m_nextFree = &m_tiles[i]; } if (!m_nodePool) { m_nodePool = new dtNodePool(maxNodes, nextPow2(maxNodes/4)); if (!m_nodePool) return false; } if (!m_openList) { m_openList = new dtNodeQueue(maxNodes); if (!m_openList) return false; } // Init ID generator values. m_tileBits = max((unsigned int)1,ilog2(nextPow2((unsigned int)maxTiles))); m_polyBits = max((unsigned int)1,ilog2(nextPow2((unsigned int)maxPolys))); m_saltBits = 32 - m_tileBits - m_polyBits; if (m_saltBits < 10) return false; return true; } bool dtNavMesh::init(unsigned char* data, int dataSize, bool ownsData, int maxNodes) { // Make sure the data is in right format. dtMeshHeader* header = (dtMeshHeader*)data; if (header->magic != DT_NAVMESH_MAGIC) return false; if (header->version != DT_NAVMESH_VERSION) return false; const float w = header->bmax[0] - header->bmin[0]; const float h = header->bmax[2] - header->bmin[2]; if (!init(header->bmin, w, h, 1, header->polyCount, maxNodes)) return false; return addTileAt(0,0, data, dataSize, ownsData); } ////////////////////////////////////////////////////////////////////////////////////////// int dtNavMesh::findConnectingPolys(const float* va, const float* vb, dtMeshTile* tile, int side, dtPolyRef* con, float* conarea, int maxcon) { if (!tile) return 0; float amin[2], amax[2]; calcRect(va,vb, amin,amax, side, 0.01f, tile->header->walkableClimb); // Remove links pointing to 'side' and compact the links array. float bmin[2], bmax[2]; unsigned short m = DT_EXT_LINK | (unsigned short)side; int n = 0; dtPolyRef base = getTileId(tile); for (int i = 0; i < tile->header->polyCount; ++i) { dtPoly* poly = &tile->polys[i]; const int nv = poly->vertCount; for (int j = 0; j < nv; ++j) { // Skip edges which do not point to the right side. if (poly->neis[j] != m) continue; // Check if the segments touch. const float* vc = &tile->verts[poly->verts[j]*3]; const float* vd = &tile->verts[poly->verts[(j+1) % nv]*3]; calcRect(vc,vd, bmin,bmax, side, 0.01f, tile->header->walkableClimb); if (!overlapRects(amin,amax, bmin,bmax)) continue; // Add return value. if (n < maxcon) { conarea[n*2+0] = max(amin[0], bmin[0]); conarea[n*2+1] = min(amax[0], bmax[0]); con[n] = base | (unsigned int)i; n++; } break; } } return n; } void dtNavMesh::unconnectExtLinks(dtMeshTile* tile, int side) { if (!tile) return; for (int i = 0; i < tile->header->polyCount; ++i) { dtPoly* poly = &tile->polys[i]; unsigned int j = poly->firstLink; unsigned int pj = DT_NULL_LINK; while (j != DT_NULL_LINK) { if (tile->links[j].side == side) { // Revove link. unsigned int nj = tile->links[j].next; if (pj == DT_NULL_LINK) poly->firstLink = nj; else tile->links[pj].next = nj; freeLink(tile, j); j = nj; } else { // Advance pj = j; j = tile->links[j].next; } } } } void dtNavMesh::connectExtLinks(dtMeshTile* tile, dtMeshTile* target, int side) { if (!tile) return; // Connect border links. for (int i = 0; i < tile->header->polyCount; ++i) { dtPoly* poly = &tile->polys[i]; // Create new links. unsigned short m = DT_EXT_LINK | (unsigned short)side; const int nv = poly->vertCount; for (int j = 0; j < nv; ++j) { // Skip edges which do not point to the right side. if (poly->neis[j] != m) continue; // Create new links const float* va = &tile->verts[poly->verts[j]*3]; const float* vb = &tile->verts[poly->verts[(j+1) % nv]*3]; dtPolyRef nei[4]; float neia[4*2]; int nnei = findConnectingPolys(va,vb, target, opposite(side), nei,neia,4); for (int k = 0; k < nnei; ++k) { unsigned int idx = allocLink(tile); if (idx != DT_NULL_LINK) { dtLink* link = &tile->links[idx]; link->ref = nei[k]; link->edge = (unsigned char)j; link->side = (unsigned char)side; link->next = poly->firstLink; poly->firstLink = idx; // Compress portal limits to a byte value. if (side == 0 || side == 4) { const float lmin = min(va[2], vb[2]); const float lmax = max(va[2], vb[2]); link->bmin = (unsigned char)(clamp((neia[k*2+0]-lmin)/(lmax-lmin), 0.0f, 1.0f)*255.0f); link->bmax = (unsigned char)(clamp((neia[k*2+1]-lmin)/(lmax-lmin), 0.0f, 1.0f)*255.0f); } else if (side == 2 || side == 6) { const float lmin = min(va[0], vb[0]); const float lmax = max(va[0], vb[0]); link->bmin = (unsigned char)(clamp((neia[k*2+0]-lmin)/(lmax-lmin), 0.0f, 1.0f)*255.0f); link->bmax = (unsigned char)(clamp((neia[k*2+1]-lmin)/(lmax-lmin), 0.0f, 1.0f)*255.0f); } } } } } } void dtNavMesh::connectExtOffMeshLinks(dtMeshTile* tile, dtMeshTile* target, int side) { if (!tile) return; // Connect off-mesh links. // We are interested on links which land from target tile to this tile. const unsigned char oppositeSide = (unsigned char)opposite(side); dtQueryFilter defaultFilter; for (int i = 0; i < target->header->offMeshConCount; ++i) { dtOffMeshConnection* targetCon = &target->offMeshCons[i]; if (targetCon->side != oppositeSide) continue; dtPoly* targetPoly = &target->polys[targetCon->poly]; const float ext[3] = { targetCon->rad, target->header->walkableClimb, targetCon->rad }; // Find polygon to connect to. const float* p = &targetCon->pos[3]; float nearestPt[3]; dtPolyRef ref = findNearestPolyInTile(tile, p, ext, &defaultFilter, nearestPt); if (!ref) continue; // findNearestPoly may return too optimistic results, further check to make sure. if (sqr(nearestPt[0]-p[0])+sqr(nearestPt[2]-p[2]) > sqr(targetCon->rad)) continue; // Make sure the location is on current mesh. float* v = &target->verts[targetPoly->verts[1]*3]; vcopy(v, nearestPt); // Link off-mesh connection to target poly. unsigned int idx = allocLink(target); if (idx != DT_NULL_LINK) { dtLink* link = &target->links[idx]; link->ref = ref; link->edge = (unsigned char)1; link->side = oppositeSide; link->bmin = link->bmax = 0; // Add to linked list. link->next = targetPoly->firstLink; targetPoly->firstLink = idx; } // Link target poly to off-mesh connection. if (targetCon->flags & DT_OFFMESH_CON_BIDIR) { unsigned int idx = allocLink(tile); if (idx != DT_NULL_LINK) { unsigned short landPolyIdx = decodePolyIdPoly(ref); dtPoly* landPoly = &tile->polys[landPolyIdx]; dtLink* link = &tile->links[idx]; link->ref = getTileId(target) | (unsigned int)(targetCon->poly); link->edge = 0; link->side = side; link->bmin = link->bmax = 0; // Add to linked list. link->next = landPoly->firstLink; landPoly->firstLink = idx; } } } } void dtNavMesh::connectIntLinks(dtMeshTile* tile) { if (!tile) return; dtPolyRef base = getTileId(tile); for (int i = 0; i < tile->header->polyCount; ++i) { dtPoly* poly = &tile->polys[i]; poly->firstLink = DT_NULL_LINK; if (poly->type == DT_POLYTYPE_OFFMESH_CONNECTION) continue; // Build edge links backwards so that the links will be // in the linked list from lowest index to highest. for (int j = poly->vertCount-1; j >= 0; --j) { // Skip hard and non-internal edges. if (poly->neis[j] == 0 || (poly->neis[j] & DT_EXT_LINK)) continue; unsigned int idx = allocLink(tile); if (idx != DT_NULL_LINK) { dtLink* link = &tile->links[idx]; link->ref = base | (unsigned int)(poly->neis[j]-1); link->edge = (unsigned char)j; link->side = 0xff; link->bmin = link->bmax = 0; // Add to linked list. link->next = poly->firstLink; poly->firstLink = idx; } } } } void dtNavMesh::connectIntOffMeshLinks(dtMeshTile* tile) { if (!tile) return; dtPolyRef base = getTileId(tile); // Find Off-mesh connection end points. for (int i = 0; i < tile->header->offMeshConCount; ++i) { dtOffMeshConnection* con = &tile->offMeshCons[i]; dtPoly* poly = &tile->polys[con->poly]; dtQueryFilter defaultFilter; const float ext[3] = { con->rad, tile->header->walkableClimb, con->rad }; for (int j = 0; j < 2; ++j) { unsigned char side = j == 0 ? 0xff : con->side; if (side == 0xff) { // Find polygon to connect to. const float* p = &con->pos[j*3]; float nearestPt[3]; dtPolyRef ref = findNearestPolyInTile(tile, p, ext, &defaultFilter, nearestPt); if (!ref) continue; // findNearestPoly may return too optimistic results, further check to make sure. if (sqr(nearestPt[0]-p[0])+sqr(nearestPt[2]-p[2]) > sqr(con->rad)) continue; // Make sure the location is on current mesh. float* v = &tile->verts[poly->verts[j]*3]; vcopy(v, nearestPt); // Link off-mesh connection to target poly. unsigned int idx = allocLink(tile); if (idx != DT_NULL_LINK) { dtLink* link = &tile->links[idx]; link->ref = ref; link->edge = (unsigned char)j; link->side = 0xff; link->bmin = link->bmax = 0; // Add to linked list. link->next = poly->firstLink; poly->firstLink = idx; } // Start end-point is always connect back to off-mesh connection, // Destination end-point only if it is bidirectional link. if (j == 0 || (j == 1 && (con->flags & DT_OFFMESH_CON_BIDIR))) { // Link target poly to off-mesh connection. unsigned int idx = allocLink(tile); if (idx != DT_NULL_LINK) { unsigned short landPolyIdx = decodePolyIdPoly(ref); dtPoly* landPoly = &tile->polys[landPolyIdx]; dtLink* link = &tile->links[idx]; link->ref = base | (unsigned int)(con->poly); link->edge = 0; link->side = 0xff; link->bmin = link->bmax = 0; // Add to linked list. link->next = landPoly->firstLink; landPoly->firstLink = idx; } } } } } } bool dtNavMesh::addTileAt(int x, int y, unsigned char* data, int dataSize, bool ownsData) { if (getTileAt(x,y)) return false; // Make sure there is enough space for new tile. if (!m_nextFree) return false; // Make sure the data is in right format. dtMeshHeader* header = (dtMeshHeader*)data; if (header->magic != DT_NAVMESH_MAGIC) return false; if (header->version != DT_NAVMESH_VERSION) return false; // Allocate a tile. dtMeshTile* tile = m_nextFree; m_nextFree = tile->next; tile->next = 0; // Insert tile into the position lut. int h = computeTileHash(x,y,m_tileLutMask); tile->next = m_posLookup[h]; m_posLookup[h] = tile; // Patch header pointers. const int headerSize = align4(sizeof(dtMeshHeader)); const int vertsSize = align4(sizeof(float)*3*header->vertCount); const int polysSize = align4(sizeof(dtPoly)*header->polyCount); const int linksSize = align4(sizeof(dtLink)*(header->maxLinkCount)); const int detailMeshesSize = align4(sizeof(dtPolyDetail)*header->detailMeshCount); const int detailVertsSize = align4(sizeof(float)*3*header->detailVertCount); const int detailTrisSize = align4(sizeof(unsigned char)*4*header->detailTriCount); const int bvtreeSize = align4(sizeof(dtBVNode)*header->bvNodeCount); const int offMeshLinksSize = align4(sizeof(dtOffMeshConnection)*header->offMeshConCount); unsigned char* d = data + headerSize; tile->verts = (float*)d; d += vertsSize; tile->polys = (dtPoly*)d; d += polysSize; tile->links = (dtLink*)d; d += linksSize; tile->detailMeshes = (dtPolyDetail*)d; d += detailMeshesSize; tile->detailVerts = (float*)d; d += detailVertsSize; tile->detailTris = (unsigned char*)d; d += detailTrisSize; tile->bvTree = (dtBVNode*)d; d += bvtreeSize; tile->offMeshCons = (dtOffMeshConnection*)d; d += offMeshLinksSize; // Build links freelist tile->linksFreeList = 0; tile->links[header->maxLinkCount-1].next = DT_NULL_LINK; for (int i = 0; i < header->maxLinkCount-1; ++i) tile->links[i].next = i+1; // Init tile. tile->header = header; tile->x = x; tile->y = y; tile->data = data; tile->dataSize = dataSize; tile->ownsData = ownsData; connectIntLinks(tile); connectIntOffMeshLinks(tile); // Create connections connections. for (int i = 0; i < 8; ++i) { dtMeshTile* nei = getNeighbourTileAt(x,y,i); if (nei) { connectExtLinks(tile, nei, i); connectExtLinks(nei, tile, opposite(i)); connectExtOffMeshLinks(tile, nei, i); connectExtOffMeshLinks(nei, tile, opposite(i)); } } return true; } dtMeshTile* dtNavMesh::getTileAt(int x, int y) { // Find tile based on hash. int h = computeTileHash(x,y,m_tileLutMask); dtMeshTile* tile = m_posLookup[h]; while (tile) { if (tile->x == x && tile->y == y) return tile; tile = tile->next; } return 0; } int dtNavMesh::getMaxTiles() const { return m_maxTiles; } dtMeshTile* dtNavMesh::getTile(int i) { return &m_tiles[i]; } const dtMeshTile* dtNavMesh::getTile(int i) const { return &m_tiles[i]; } const dtMeshTile* dtNavMesh::getTileByRef(dtPolyRef ref, int* polyIndex) const { unsigned int salt, it, ip; decodePolyId(ref, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return 0; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return 0; if (ip >= (unsigned int)m_tiles[it].header->polyCount) return 0; if (polyIndex) *polyIndex = (int)ip; return &m_tiles[it]; } dtMeshTile* dtNavMesh::getNeighbourTileAt(int x, int y, int side) { switch (side) { case 0: x++; break; case 1: x++; y++; break; case 2: y++; break; case 3: x--; y++; break; case 4: x--; break; case 5: x--; y--; break; case 6: y--; break; case 7: x++; y--; break; }; return getTileAt(x,y); } bool dtNavMesh::removeTileAt(int x, int y, unsigned char** data, int* dataSize) { // Remove tile from hash lookup. int h = computeTileHash(x,y,m_tileLutMask); dtMeshTile* prev = 0; dtMeshTile* tile = m_posLookup[h]; while (tile) { if (tile->x == x && tile->y == y) { if (prev) prev->next = tile->next; else m_posLookup[h] = tile->next; break; } prev = tile; tile = tile->next; } if (!tile) return false; // Remove connections to neighbour tiles. for (int i = 0; i < 8; ++i) { dtMeshTile* nei = getNeighbourTileAt(x,y,i); if (!nei) continue; unconnectExtLinks(nei, opposite(i)); } // Reset tile. if (tile->ownsData) { // Owns data delete [] tile->data; tile->data = 0; tile->dataSize = 0; if (data) *data = 0; if (dataSize) *dataSize = 0; } else { if (data) *data = tile->data; if (dataSize) *dataSize = tile->dataSize; } tile->header = 0; tile->linksFreeList = 0; tile->polys = 0; tile->verts = 0; tile->links = 0; tile->detailMeshes = 0; tile->detailVerts = 0; tile->detailTris = 0; tile->bvTree = 0; tile->offMeshCons = 0; tile->x = tile->y = 0; tile->salt++; // Add to free list. tile->next = m_nextFree; m_nextFree = tile; return true; } dtPolyRef dtNavMesh::getTileId(const dtMeshTile* tile) const { if (!tile) return 0; const unsigned int it = tile - m_tiles; return encodePolyId(tile->salt, it, 0); } ////////////////////////////////////////////////////////////////////////////////////////// bool dtNavMesh::closestPointOnPoly(dtPolyRef ref, const float* pos, float* closest) const { unsigned int salt, it, ip; decodePolyId(ref, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return false; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return false; const dtMeshHeader* header = m_tiles[it].header; if (ip >= (unsigned int)header->polyCount) return false; return closestPointOnPolyInTile(&m_tiles[it], ip, pos, closest); } bool dtNavMesh::closestPointOnPolyInTile(const dtMeshTile* tile, unsigned int ip, const float* pos, float* closest) const { const dtPoly* poly = &tile->polys[ip]; float closestDistSqr = FLT_MAX; const dtPolyDetail* pd = &tile->detailMeshes[ip]; for (int j = 0; j < pd->triCount; ++j) { const unsigned char* t = &tile->detailTris[(pd->triBase+j)*4]; const float* v[3]; for (int k = 0; k < 3; ++k) { if (t[k] < poly->vertCount) v[k] = &tile->verts[poly->verts[t[k]]*3]; else v[k] = &tile->detailVerts[(pd->vertBase+(t[k]-poly->vertCount))*3]; } float pt[3]; closestPtPointTriangle(pt, pos, v[0], v[1], v[2]); float d = vdistSqr(pos, pt); if (d < closestDistSqr) { vcopy(closest, pt); closestDistSqr = d; } } return true; } bool dtNavMesh::closestPointOnPolyBoundary(dtPolyRef ref, const float* pos, float* closest) const { unsigned int salt, it, ip; decodePolyId(ref, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return false; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return false; const dtMeshTile* tile = &m_tiles[it]; if (ip >= (unsigned int)tile->header->polyCount) return false; const dtPoly* poly = &tile->polys[ip]; // Collect vertices. float verts[DT_VERTS_PER_POLYGON*3]; float edged[DT_VERTS_PER_POLYGON]; float edget[DT_VERTS_PER_POLYGON]; int nv = 0; for (int i = 0; i < (int)poly->vertCount; ++i) { vcopy(&verts[nv*3], &tile->verts[poly->verts[i]*3]); nv++; } bool inside = distancePtPolyEdgesSqr(pos, verts, nv, edged, edget); if (inside) { // Point is inside the polygon, return the point. vcopy(closest, pos); } else { // Point is outside the polygon, clamp to nearest edge. float dmin = FLT_MAX; int imin = -1; for (int i = 0; i < nv; ++i) { if (edged[i] < dmin) { dmin = edged[i]; imin = i; } } const float* va = &verts[imin*3]; const float* vb = &verts[((imin+1)%nv)*3]; vlerp(closest, va, vb, edget[imin]); } return true; } // Returns start and end location of an off-mesh link polygon. bool dtNavMesh::getOffMeshConnectionPolyEndPoints(dtPolyRef prevRef, dtPolyRef polyRef, float* startPos, float* endPos) const { unsigned int salt, it, ip; // Get current polygon decodePolyId(polyRef, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return false; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return false; const dtMeshTile* tile = &m_tiles[it]; if (ip >= (unsigned int)tile->header->polyCount) return false; const dtPoly* poly = &tile->polys[ip]; // Make sure that the current poly is indeed off-mesh link. if (poly->type != DT_POLYTYPE_OFFMESH_CONNECTION) return false; // Figure out which way to hand out the vertices. int idx0 = 0, idx1 = 1; // Find link that points to first vertex. for (unsigned int i = poly->firstLink; i != DT_NULL_LINK; i = tile->links[i].next) { if (tile->links[i].edge == 0) { if (tile->links[i].ref != prevRef) { idx0 = 1; idx1 = 0; } break; } } vcopy(startPos, &tile->verts[poly->verts[idx0]*3]); vcopy(endPos, &tile->verts[poly->verts[idx1]*3]); return true; } bool dtNavMesh::getPolyHeight(dtPolyRef ref, const float* pos, float* height) const { unsigned int salt, it, ip; decodePolyId(ref, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return false; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return false; const dtMeshTile* tile = &m_tiles[it]; if (ip >= (unsigned int)tile->header->polyCount) return false; const dtPoly* poly = &tile->polys[ip]; if (poly->type == DT_POLYTYPE_OFFMESH_CONNECTION) { const float* v0 = &tile->verts[poly->verts[0]*3]; const float* v1 = &tile->verts[poly->verts[1]*3]; const float d0 = vdist(pos, v0); const float d1 = vdist(pos, v1); const float u = d0 / (d0+d1); if (height) *height = v0[1] + (v1[1] - v0[1]) * u; return true; } else { const dtPolyDetail* pd = &tile->detailMeshes[ip]; for (int j = 0; j < pd->triCount; ++j) { const unsigned char* t = &tile->detailTris[(pd->triBase+j)*4]; const float* v[3]; for (int k = 0; k < 3; ++k) { if (t[k] < poly->vertCount) v[k] = &tile->verts[poly->verts[t[k]]*3]; else v[k] = &tile->detailVerts[(pd->vertBase+(t[k]-poly->vertCount))*3]; } float h; if (closestHeightPointTriangle(pos, v[0], v[1], v[2], h)) { if (height) *height = h; return true; } } } return false; } void dtNavMesh::setAreaCost(const int area, float cost) { if (area >= 0 && area < DT_MAX_AREAS) m_areaCost[area] = cost; } float dtNavMesh::getAreaCost(const int area) const { if (area >= 0 && area < DT_MAX_AREAS) return m_areaCost[area]; return -1; } dtPolyRef dtNavMesh::findNearestPoly(const float* center, const float* extents, dtQueryFilter* filter, float* nearestPt) { // Get nearby polygons from proximity grid. dtPolyRef polys[128]; int polyCount = queryPolygons(center, extents, filter, polys, 128); // Find nearest polygon amongst the nearby polygons. dtPolyRef nearest = 0; float nearestDistanceSqr = FLT_MAX; for (int i = 0; i < polyCount; ++i) { dtPolyRef ref = polys[i]; float closestPtPoly[3]; if (!closestPointOnPoly(ref, center, closestPtPoly)) continue; float d = vdistSqr(center, closestPtPoly); if (d < nearestDistanceSqr) { if (nearestPt) vcopy(nearestPt, closestPtPoly); nearestDistanceSqr = d; nearest = ref; } } return nearest; } dtPolyRef dtNavMesh::findNearestPolyInTile(dtMeshTile* tile, const float* center, const float* extents, dtQueryFilter* filter, float* nearestPt) { float bmin[3], bmax[3]; vsub(bmin, center, extents); vadd(bmax, center, extents); // Get nearby polygons from proximity grid. dtPolyRef polys[128]; int polyCount = queryPolygonsInTile(tile, bmin, bmax, filter, polys, 128); // Find nearest polygon amongst the nearby polygons. dtPolyRef nearest = 0; float nearestDistanceSqr = FLT_MAX; for (int i = 0; i < polyCount; ++i) { dtPolyRef ref = polys[i]; float closestPtPoly[3]; if (!closestPointOnPolyInTile(tile, decodePolyIdPoly(ref), center, closestPtPoly)) continue; float d = vdistSqr(center, closestPtPoly); if (d < nearestDistanceSqr) { if (nearestPt) vcopy(nearestPt, closestPtPoly); nearestDistanceSqr = d; nearest = ref; } } return nearest; } int dtNavMesh::queryPolygonsInTile(dtMeshTile* tile, const float* qmin, const float* qmax, dtQueryFilter* filter, dtPolyRef* polys, const int maxPolys) { if (tile->bvTree) { const dtBVNode* node = &tile->bvTree[0]; const dtBVNode* end = &tile->bvTree[tile->header->bvNodeCount]; const float* tbmin = tile->header->bmin; const float* tbmax = tile->header->bmax; const float qfac = tile->header->bvQuantFactor; // Calculate quantized box unsigned short bmin[3], bmax[3]; // Clamp query box to world box. float minx = clamp(qmin[0], tbmin[0], tbmax[0]) - tbmin[0]; float miny = clamp(qmin[1], tbmin[1], tbmax[1]) - tbmin[1]; float minz = clamp(qmin[2], tbmin[2], tbmax[2]) - tbmin[2]; float maxx = clamp(qmax[0], tbmin[0], tbmax[0]) - tbmin[0]; float maxy = clamp(qmax[1], tbmin[1], tbmax[1]) - tbmin[1]; float maxz = clamp(qmax[2], tbmin[2], tbmax[2]) - tbmin[2]; // Quantize bmin[0] = (unsigned short)(qfac * minx) & 0xfffe; bmin[1] = (unsigned short)(qfac * miny) & 0xfffe; bmin[2] = (unsigned short)(qfac * minz) & 0xfffe; bmax[0] = (unsigned short)(qfac * maxx + 1) | 1; bmax[1] = (unsigned short)(qfac * maxy + 1) | 1; bmax[2] = (unsigned short)(qfac * maxz + 1) | 1; // Traverse tree dtPolyRef base = getTileId(tile); int n = 0; while (node < end) { bool overlap = checkOverlapBox(bmin, bmax, node->bmin, node->bmax); bool isLeafNode = node->i >= 0; if (isLeafNode && overlap) { if (passFilter(filter, tile->polys[node->i].flags)) { if (n < maxPolys) polys[n++] = base | (dtPolyRef)node->i; } } if (overlap || isLeafNode) node++; else { const int escapeIndex = -node->i; node += escapeIndex; } } return n; } else { float bmin[3], bmax[3]; int n = 0; dtPolyRef base = getTileId(tile); for (int i = 0; i < tile->header->polyCount; ++i) { // Calc polygon bounds. dtPoly* p = &tile->polys[i]; const float* v = &tile->verts[p->verts[0]*3]; vcopy(bmin, v); vcopy(bmax, v); for (int j = 1; j < p->vertCount; ++j) { v = &tile->verts[p->verts[j]*3]; vmin(bmin, v); vmax(bmax, v); } if (overlapBoxes(qmin,qmax, bmin,bmax)) { if (passFilter(filter, p->flags)) { if (n < maxPolys) polys[n++] = base | (dtPolyRef)i; } } } return n; } } int dtNavMesh::queryPolygons(const float* center, const float* extents, dtQueryFilter* filter, dtPolyRef* polys, const int maxPolys) { float bmin[3], bmax[3]; vsub(bmin, center, extents); vadd(bmax, center, extents); // Find tiles the query touches. const int minx = (int)((bmin[0]-m_orig[0]) / m_tileWidth); const int maxx = (int)((bmax[0]-m_orig[0]) / m_tileWidth); const int miny = (int)((bmin[2]-m_orig[2]) / m_tileHeight); const int maxy = (int)((bmax[2]-m_orig[2]) / m_tileHeight); int n = 0; for (int y = miny; y <= maxy; ++y) { for (int x = minx; x <= maxx; ++x) { dtMeshTile* tile = getTileAt(x,y); if (!tile) continue; n += queryPolygonsInTile(tile, bmin, bmax, filter, polys+n, maxPolys-n); if (n >= maxPolys) return n; } } return n; } int dtNavMesh::findPath(dtPolyRef startRef, dtPolyRef endRef, const float* startPos, const float* endPos, dtQueryFilter* filter, dtPolyRef* path, const int maxPathSize) { if (!startRef || !endRef) return 0; if (!maxPathSize) return 0; if (!getPolyByRef(startRef) || !getPolyByRef(endRef)) return 0; if (startRef == endRef) { path[0] = startRef; return 1; } if (!m_nodePool || !m_openList) return 0; m_nodePool->clear(); m_openList->clear(); static const float H_SCALE = 0.999f; // Heuristic scale. dtNode* startNode = m_nodePool->getNode(startRef); startNode->pidx = 0; startNode->cost = 0; startNode->total = vdist(startPos, endPos) * H_SCALE; startNode->id = startRef; startNode->flags = DT_NODE_OPEN; m_openList->push(startNode); dtNode* lastBestNode = startNode; float lastBestNodeCost = startNode->total; unsigned int it, ip; while (!m_openList->empty()) { dtNode* bestNode = m_openList->pop(); // Remove node from open list and put it in closed list. bestNode->flags &= ~DT_NODE_OPEN; bestNode->flags |= DT_NODE_CLOSED; // Reached the goal, stop searching. if (bestNode->id == endRef) { lastBestNode = bestNode; break; } float previousEdgeMidPoint[3]; // Get current poly and tile. // The API input has been cheked already, skip checking internal data. const dtPolyRef bestRef = bestNode->id; it = decodePolyIdTile(bestRef); ip = decodePolyIdPoly(bestRef); const dtMeshTile* bestTile = &m_tiles[it]; const dtPoly* bestPoly = &bestTile->polys[ip]; // Get parent poly and tile. dtPolyRef parentRef = 0; const dtMeshTile* parentTile = 0; const dtPoly* parentPoly = 0; if (bestNode->pidx) parentRef = m_nodePool->getNodeAtIdx(bestNode->pidx)->id; if (parentRef) { it = decodePolyIdTile(parentRef); ip = decodePolyIdPoly(parentRef); parentTile = &m_tiles[it]; parentPoly = &parentTile->polys[ip]; getEdgeMidPoint(parentRef, parentPoly, parentTile, bestRef, bestPoly, bestTile, previousEdgeMidPoint); } else { vcopy(previousEdgeMidPoint, startPos); } for (unsigned int i = bestPoly->firstLink; i != DT_NULL_LINK; i = bestTile->links[i].next) { dtPolyRef neighbourRef = bestTile->links[i].ref; // Skip invalid ids and do not expand back to where we came from. if (!neighbourRef || neighbourRef == bestRef) continue; // Get neighbour poly and tile. // The API input has been cheked already, skip checking internal data. it = decodePolyIdTile(neighbourRef); ip = decodePolyIdPoly(neighbourRef); const dtMeshTile* neighbourTile = &m_tiles[it]; const dtPoly* neighbourPoly = &neighbourTile->polys[ip]; if (!passFilter(filter, neighbourPoly->flags)) continue; dtNode newNode; newNode.pidx = m_nodePool->getNodeIdx(bestNode); newNode.id = neighbourRef; // Calculate cost. float edgeMidPoint[3]; getEdgeMidPoint(bestRef, bestPoly, bestTile, neighbourRef, neighbourPoly, neighbourTile, edgeMidPoint); // Special case for last node. float h = 0; if (neighbourRef == endRef) { // Cost newNode.cost = bestNode->cost + vdist(previousEdgeMidPoint,edgeMidPoint) * m_areaCost[bestPoly->area] + vdist(edgeMidPoint, endPos) * m_areaCost[neighbourPoly->area]; // Heuristic h = 0; } else { // Cost newNode.cost = bestNode->cost + vdist(previousEdgeMidPoint,edgeMidPoint) * m_areaCost[bestPoly->area]; // Heuristic h = vdist(edgeMidPoint,endPos)*H_SCALE; } newNode.total = newNode.cost + h; dtNode* actualNode = m_nodePool->getNode(newNode.id); if (!actualNode) continue; // The node is already in open list and the new result is worse, skip. if ((actualNode->flags & DT_NODE_OPEN) && newNode.total >= actualNode->total) continue; // The node is already visited and process, and the new result is worse, skip. if ((actualNode->flags & DT_NODE_CLOSED) && newNode.total >= actualNode->total) continue; // Add or update the node. actualNode->flags &= ~DT_NODE_CLOSED; actualNode->pidx = newNode.pidx; actualNode->cost = newNode.cost; actualNode->total = newNode.total; // Update nearest node to target so far. if (h < lastBestNodeCost) { lastBestNodeCost = h; lastBestNode = actualNode; } if (actualNode->flags & DT_NODE_OPEN) { // Already in open, update node location. m_openList->modify(actualNode); } else { // Put the node in open list. actualNode->flags |= DT_NODE_OPEN; m_openList->push(actualNode); } } } // Reverse the path. dtNode* prev = 0; dtNode* node = lastBestNode; do { dtNode* next = m_nodePool->getNodeAtIdx(node->pidx); node->pidx = m_nodePool->getNodeIdx(prev); prev = node; node = next; } while (node); // Store path node = prev; int n = 0; do { path[n++] = node->id; node = m_nodePool->getNodeAtIdx(node->pidx); } while (node && n < maxPathSize); return n; } int dtNavMesh::findStraightPath(const float* startPos, const float* endPos, const dtPolyRef* path, const int pathSize, float* straightPath, unsigned char* straightPathFlags, dtPolyRef* straightPathRefs, const int maxStraightPathSize) { if (!maxStraightPathSize) return 0; if (!path[0]) return 0; int straightPathSize = 0; // TODO: Should this be callers responsibility? float closestStartPos[3]; if (!closestPointOnPolyBoundary(path[0], startPos, closestStartPos)) return 0; // Add start point. vcopy(&straightPath[straightPathSize*3], closestStartPos); if (straightPathFlags) straightPathFlags[straightPathSize] = DT_STRAIGHTPATH_START; if (straightPathRefs) straightPathRefs[straightPathSize] = path[0]; straightPathSize++; if (straightPathSize >= maxStraightPathSize) return straightPathSize; float closestEndPos[3]; if (!closestPointOnPolyBoundary(path[pathSize-1], endPos, closestEndPos)) return 0; if (pathSize > 1) { float portalApex[3], portalLeft[3], portalRight[3]; vcopy(portalApex, closestStartPos); vcopy(portalLeft, portalApex); vcopy(portalRight, portalApex); int apexIndex = 0; int leftIndex = 0; int rightIndex = 0; unsigned char leftPolyType = 0; unsigned char rightPolyType = 0; dtPolyRef leftPolyRef = path[0]; dtPolyRef rightPolyRef = path[0]; for (int i = 0; i < pathSize; ++i) { float left[3], right[3]; unsigned char fromType, toType; if (i+1 < pathSize) { // Next portal. if (!getPortalPoints(path[i], path[i+1], left, right, fromType, toType)) { if (!closestPointOnPolyBoundary(path[i], endPos, closestEndPos)) return 0; vcopy(&straightPath[straightPathSize*3], closestEndPos); if (straightPathFlags) straightPathFlags[straightPathSize] = 0; if (straightPathRefs) straightPathRefs[straightPathSize] = path[i]; straightPathSize++; return straightPathSize; } // If starting really close the portal, advance. if (i == 0) { float t; if (distancePtSegSqr2D(portalApex, left, right, t) < (0.001*0.001f)) continue; } } else { // End of the path. vcopy(left, closestEndPos); vcopy(right, closestEndPos); fromType = toType = DT_POLYTYPE_GROUND; } // Right vertex. if (vequal(portalApex, portalRight)) { vcopy(portalRight, right); rightPolyRef = (i+1 < pathSize) ? path[i+1] : 0; rightPolyType = toType; rightIndex = i; } else { if (triArea2D(portalApex, portalRight, right) <= 0.0f) { if (triArea2D(portalApex, portalLeft, right) > 0.0f) { vcopy(portalRight, right); rightPolyRef = (i+1 < pathSize) ? path[i+1] : 0; rightPolyType = toType; rightIndex = i; } else { vcopy(portalApex, portalLeft); apexIndex = leftIndex; unsigned char flags = (leftPolyType == DT_POLYTYPE_OFFMESH_CONNECTION) ? DT_STRAIGHTPATH_OFFMESH_CONNECTION : 0; dtPolyRef ref = leftPolyRef; if (!vequal(&straightPath[(straightPathSize-1)*3], portalApex)) { vcopy(&straightPath[straightPathSize*3], portalApex); if (straightPathFlags) straightPathFlags[straightPathSize] = flags; if (straightPathRefs) straightPathRefs[straightPathSize] = ref; straightPathSize++; if (straightPathSize >= maxStraightPathSize) return straightPathSize; } else { // The vertices are equal, update flags and poly. if (straightPathFlags) straightPathFlags[straightPathSize-1] = flags; if (straightPathRefs) straightPathRefs[straightPathSize-1] = ref; } vcopy(portalLeft, portalApex); vcopy(portalRight, portalApex); leftIndex = apexIndex; rightIndex = apexIndex; // Restart i = apexIndex; continue; } } } // Left vertex. if (vequal(portalApex, portalLeft)) { vcopy(portalLeft, left); leftPolyRef = (i+1 < pathSize) ? path[i+1] : 0; leftPolyType = toType; leftIndex = i; } else { if (triArea2D(portalApex, portalLeft, left) >= 0.0f) { if (triArea2D(portalApex, portalRight, left) < 0.0f) { vcopy(portalLeft, left); leftPolyRef = (i+1 < pathSize) ? path[i+1] : 0; leftPolyType = toType; leftIndex = i; } else { vcopy(portalApex, portalRight); apexIndex = rightIndex; unsigned char flags = (rightPolyType == DT_POLYTYPE_OFFMESH_CONNECTION) ? DT_STRAIGHTPATH_OFFMESH_CONNECTION : 0; dtPolyRef ref = rightPolyRef; if (!vequal(&straightPath[(straightPathSize-1)*3], portalApex)) { vcopy(&straightPath[straightPathSize*3], portalApex); if (straightPathFlags) straightPathFlags[straightPathSize] = flags; if (straightPathRefs) straightPathRefs[straightPathSize] = ref; straightPathSize++; if (straightPathSize >= maxStraightPathSize) return straightPathSize; } else { // The vertices are equal, update flags and poly. if (straightPathFlags) straightPathFlags[straightPathSize-1] = flags; if (straightPathRefs) straightPathRefs[straightPathSize-1] = ref; } vcopy(portalLeft, portalApex); vcopy(portalRight, portalApex); leftIndex = apexIndex; rightIndex = apexIndex; // Restart i = apexIndex; continue; } } } } } // Add end point. vcopy(&straightPath[straightPathSize*3], closestEndPos); if (straightPathFlags) straightPathFlags[straightPathSize] = DT_STRAIGHTPATH_END; if (straightPathRefs) straightPathRefs[straightPathSize] = 0; straightPathSize++; return straightPathSize; } // Moves towards end position a long the path corridor. // Returns: Index to the result path polygon. int dtNavMesh::moveAlongPathCorridor(const float* startPos, const float* endPos, float* resultPos, const dtPolyRef* path, const int pathSize) { if (!pathSize) return 0; float verts[DT_VERTS_PER_POLYGON*3]; float edged[DT_VERTS_PER_POLYGON]; float edget[DT_VERTS_PER_POLYGON]; int n = 0; static const float SLOP = 0.01f; vcopy(resultPos, startPos); while (n < pathSize) { // Get current polygon and poly vertices. unsigned int salt, it, ip; decodePolyId(path[n], salt, it, ip); if (it >= (unsigned int)m_maxTiles) return n; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return n; if (ip >= (unsigned int)m_tiles[it].header->polyCount) return n; const dtMeshTile* tile = &m_tiles[it]; const dtPoly* poly = &tile->polys[ip]; // In case of Off-Mesh link, just snap to the end location and advance over it. if (poly->type == DT_POLYTYPE_OFFMESH_CONNECTION) { if (n+1 < pathSize) { float left[3], right[3]; unsigned char fromType, toType; if (!getPortalPoints(path[n], path[n+1], left, right, fromType, toType)) return n; vcopy(resultPos, endPos); } return n+1; } // Collect vertices. int nv = 0; for (int i = 0; i < (int)poly->vertCount; ++i) { vcopy(&verts[nv*3], &tile->verts[poly->verts[i]*3]); nv++; } bool inside = distancePtPolyEdgesSqr(endPos, verts, nv, edged, edget); if (inside) { // The end point is inside the current polygon. vcopy(resultPos, endPos); return n; } // Constraint the point on the polygon boundary. // This results sliding movement. float dmin = FLT_MAX; int imin = -1; for (int i = 0; i < nv; ++i) { if (edged[i] < dmin) { dmin = edged[i]; imin = i; } } const float* va = &verts[imin*3]; const float* vb = &verts[((imin+1)%nv)*3]; vlerp(resultPos, va, vb, edget[imin]); // Check to see if the point is on the portal edge to the next polygon. if (n+1 >= pathSize) return n; // TODO: optimize float left[3], right[3]; unsigned char fromType, toType; if (!getPortalPoints(path[n], path[n+1], left, right, fromType, toType)) return n; // If the clamped point is close to the next portal edge, advance to next poly. float t; float d = distancePtSegSqr2D(resultPos, left, right, t); if (d > SLOP*SLOP) return n; // Advance to next polygon. n++; } return n; } bool dtNavMesh::getPortalPoints(dtPolyRef from, dtPolyRef to, float* left, float* right, unsigned char& fromType, unsigned char& toType) const { unsigned int salt, it, ip; decodePolyId(from, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return false; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return false; const dtMeshTile* fromTile = &m_tiles[it]; if (ip >= (unsigned int)fromTile->header->polyCount) return false; const dtPoly* fromPoly = &fromTile->polys[ip]; fromType = fromPoly->type; decodePolyId(to, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return false; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return false; const dtMeshTile* toTile = &m_tiles[it]; if (ip >= (unsigned int)toTile->header->polyCount) return false; const dtPoly* toPoly = &toTile->polys[ip]; toType = toPoly->type; return getPortalPoints(from, fromPoly, fromTile, to, toPoly, toTile, left, right); } // Returns portal points between two polygons. bool dtNavMesh::getPortalPoints(dtPolyRef from, const dtPoly* fromPoly, const dtMeshTile* fromTile, dtPolyRef to, const dtPoly* toPoly, const dtMeshTile* toTile, float* left, float* right) const { // Find the link that points to the 'to' polygon. const dtLink* link = 0; for (unsigned int i = fromPoly->firstLink; i != DT_NULL_LINK; i = fromTile->links[i].next) { if (fromTile->links[i].ref == to) { link = &fromTile->links[i]; break; } } if (!link) return false; // Handle off-mesh connections. if (fromPoly->type == DT_POLYTYPE_OFFMESH_CONNECTION) { // Find link that points to first vertex. for (unsigned int i = fromPoly->firstLink; i != DT_NULL_LINK; i = fromTile->links[i].next) { if (fromTile->links[i].ref == to) { const int v = fromTile->links[i].edge; vcopy(left, &fromTile->verts[fromPoly->verts[v]*3]); vcopy(right, &fromTile->verts[fromPoly->verts[v]*3]); return true; } } return false; } if (toPoly->type == DT_POLYTYPE_OFFMESH_CONNECTION) { for (unsigned int i = toPoly->firstLink; i != DT_NULL_LINK; i = toTile->links[i].next) { if (toTile->links[i].ref == from) { const int v = toTile->links[i].edge; vcopy(left, &toTile->verts[toPoly->verts[v]*3]); vcopy(right, &toTile->verts[toPoly->verts[v]*3]); return true; } } return false; } // Find portal vertices. const int v0 = fromPoly->verts[link->edge]; const int v1 = fromPoly->verts[(link->edge+1) % (int)fromPoly->vertCount]; vcopy(left, &fromTile->verts[v0*3]); vcopy(right, &fromTile->verts[v1*3]); // If the link is at tile boundary, clamp the vertices to // the link width. if (link->side == 0 || link->side == 4) { // Unpack portal limits. const float smin = min(left[2],right[2]); const float smax = max(left[2],right[2]); const float s = (smax-smin) / 255.0f; const float lmin = smin + link->bmin*s; const float lmax = smin + link->bmax*s; left[2] = max(left[2],lmin); left[2] = min(left[2],lmax); right[2] = max(right[2],lmin); right[2] = min(right[2],lmax); } else if (link->side == 2 || link->side == 6) { // Unpack portal limits. const float smin = min(left[0],right[0]); const float smax = max(left[0],right[0]); const float s = (smax-smin) / 255.0f; const float lmin = smin + link->bmin*s; const float lmax = smin + link->bmax*s; left[0] = max(left[0],lmin); left[0] = min(left[0],lmax); right[0] = max(right[0],lmin); right[0] = min(right[0],lmax); } return true; } // Returns edge mid point between two polygons. bool dtNavMesh::getEdgeMidPoint(dtPolyRef from, dtPolyRef to, float* mid) const { float left[3], right[3]; unsigned char fromType, toType; if (!getPortalPoints(from, to, left,right, fromType, toType)) return false; mid[0] = (left[0]+right[0])*0.5f; mid[1] = (left[1]+right[1])*0.5f; mid[2] = (left[2]+right[2])*0.5f; return true; } bool dtNavMesh::getEdgeMidPoint(dtPolyRef from, const dtPoly* fromPoly, const dtMeshTile* fromTile, dtPolyRef to, const dtPoly* toPoly, const dtMeshTile* toTile, float* mid) const { float left[3], right[3]; if (!getPortalPoints(from, fromPoly, fromTile, to, toPoly, toTile, left, right)) return false; mid[0] = (left[0]+right[0])*0.5f; mid[1] = (left[1]+right[1])*0.5f; mid[2] = (left[2]+right[2])*0.5f; return true; } void dtNavMesh::setPolyFlags(dtPolyRef ref, unsigned short flags) { unsigned int salt, it, ip; decodePolyId(ref, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return; dtMeshTile* tile = &m_tiles[it]; if (ip >= (unsigned int)tile->header->polyCount) return; dtPoly* poly = &tile->polys[ip]; // Change flags. poly->flags = flags; } unsigned short dtNavMesh::getPolyFlags(dtPolyRef ref) const { unsigned int salt, it, ip; decodePolyId(ref, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return 0; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return 0; const dtMeshTile* tile = &m_tiles[it]; if (ip >= (unsigned int)tile->header->polyCount) return 0; const dtPoly* poly = &tile->polys[ip]; return poly->flags; } void dtNavMesh::setPolyArea(dtPolyRef ref, unsigned char area) { unsigned int salt, it, ip; decodePolyId(ref, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return; dtMeshTile* tile = &m_tiles[it]; if (ip >= (unsigned int)tile->header->polyCount) return; dtPoly* poly = &tile->polys[ip]; poly->area = area; } unsigned char dtNavMesh::getPolyArea(dtPolyRef ref) const { unsigned int salt, it, ip; decodePolyId(ref, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return 0; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return 0; const dtMeshTile* tile = &m_tiles[it]; if (ip >= (unsigned int)tile->header->polyCount) return 0; const dtPoly* poly = &tile->polys[ip]; return poly->area; } int dtNavMesh::raycast(dtPolyRef centerRef, const float* startPos, const float* endPos, dtQueryFilter* filter, float& t, float* hitNormal, dtPolyRef* path, const int pathSize) { t = 0; if (!centerRef || !getPolyByRef(centerRef)) return 0; dtPolyRef curRef = centerRef; float verts[DT_VERTS_PER_POLYGON*3]; int n = 0; hitNormal[0] = 0; hitNormal[1] = 0; hitNormal[2] = 0; while (curRef) { // Cast ray against current polygon. // The API input has been cheked already, skip checking internal data. unsigned int it = decodePolyIdTile(curRef); unsigned int ip = decodePolyIdPoly(curRef); const dtMeshTile* tile = &m_tiles[it]; const dtPoly* poly = &tile->polys[ip]; // Collect vertices. int nv = 0; for (int i = 0; i < (int)poly->vertCount; ++i) { vcopy(&verts[nv*3], &tile->verts[poly->verts[i]*3]); nv++; } float tmin, tmax; int segMin, segMax; if (!intersectSegmentPoly2D(startPos, endPos, verts, nv, tmin, tmax, segMin, segMax)) { // Could not hit the polygon, keep the old t and report hit. return n; } // Keep track of furthest t so far. if (tmax > t) t = tmax; if (n < pathSize) path[n++] = curRef; // Follow neighbours. dtPolyRef nextRef = 0; for (unsigned int i = poly->firstLink; i != DT_NULL_LINK; i = tile->links[i].next) { const dtLink* link = &tile->links[i]; if ((int)link->edge == segMax) { // If the link is internal, just return the ref. if (link->side == 0xff) { nextRef = link->ref; break; } // If the link is at tile boundary, const int v0 = poly->verts[link->edge]; const int v1 = poly->verts[(link->edge+1) % poly->vertCount]; const float* left = &tile->verts[v0*3]; const float* right = &tile->verts[v1*3]; // Check that the intersection lies inside the link portal. if (link->side == 0 || link->side == 4) { // Calculate link size. const float smin = min(left[2],right[2]); const float smax = max(left[2],right[2]); const float s = (smax-smin) / 255.0f; const float lmin = smin + link->bmin*s; const float lmax = smin + link->bmax*s; // Find Z intersection. float z = startPos[2] + (endPos[2]-startPos[2])*tmax; if (z >= lmin && z <= lmax) { nextRef = link->ref; break; } } else if (link->side == 2 || link->side == 6) { // Calculate link size. const float smin = min(left[0],right[0]); const float smax = max(left[0],right[0]); const float s = (smax-smin) / 255.0f; const float lmin = smin + link->bmin*s; const float lmax = smin + link->bmax*s; // Find X intersection. float x = startPos[0] + (endPos[0]-startPos[0])*tmax; if (x >= lmin && x <= lmax) { nextRef = link->ref; break; } } } } if (!nextRef || !passFilter(filter, getPolyFlags(nextRef))) { // No neighbour, we hit a wall. // Calculate hit normal. const int a = segMax; const int b = segMax+1 < nv ? segMax+1 : 0; const float* va = &verts[a*3]; const float* vb = &verts[b*3]; const float dx = vb[0] - va[0]; const float dz = vb[2] - va[2]; hitNormal[0] = dz; hitNormal[1] = 0; hitNormal[2] = -dx; vnormalize(hitNormal); return n; } // No hit, advance to neighbour polygon. curRef = nextRef; } return n; } int dtNavMesh::findPolysAround(dtPolyRef centerRef, const float* centerPos, float radius, dtQueryFilter* filter, dtPolyRef* resultRef, dtPolyRef* resultParent, float* resultCost, const int maxResult) { if (!centerRef) return 0; if (!getPolyByRef(centerRef)) return 0; if (!m_nodePool || !m_openList) return 0; m_nodePool->clear(); m_openList->clear(); dtNode* startNode = m_nodePool->getNode(centerRef); startNode->pidx = 0; startNode->cost = 0; startNode->total = 0; startNode->id = centerRef; startNode->flags = DT_NODE_OPEN; m_openList->push(startNode); int n = 0; if (n < maxResult) { if (resultRef) resultRef[n] = startNode->id; if (resultParent) resultParent[n] = 0; if (resultCost) resultCost[n] = 0; ++n; } const float radiusSqr = sqr(radius); unsigned int it, ip; while (!m_openList->empty()) { dtNode* bestNode = m_openList->pop(); float previousEdgeMidPoint[3]; // Get poly and tile. // The API input has been cheked already, skip checking internal data. const dtPolyRef bestRef = bestNode->id; it = decodePolyIdTile(bestRef); ip = decodePolyIdPoly(bestRef); const dtMeshTile* bestTile = &m_tiles[it]; const dtPoly* bestPoly = &bestTile->polys[ip]; // Get parent poly and tile. dtPolyRef parentRef = 0; const dtMeshTile* parentTile = 0; const dtPoly* parentPoly = 0; if (bestNode->pidx) parentRef = m_nodePool->getNodeAtIdx(bestNode->pidx)->id; if (parentRef) { it = decodePolyIdTile(parentRef); ip = decodePolyIdPoly(parentRef); parentTile = &m_tiles[it]; parentPoly = &parentTile->polys[ip]; getEdgeMidPoint(parentRef, parentPoly, parentTile, bestRef, bestPoly, bestTile, previousEdgeMidPoint); } else { vcopy(previousEdgeMidPoint, centerPos); } for (unsigned int i = bestPoly->firstLink; i != DT_NULL_LINK; i = bestTile->links[i].next) { const dtLink* link = &bestTile->links[i]; dtPolyRef neighbourRef = link->ref; // Skip invalid neighbours and do not follow back to parent. if (!neighbourRef || neighbourRef == parentRef) continue; // Calc distance to the edge. const float* va = &bestTile->verts[bestPoly->verts[link->edge]*3]; const float* vb = &bestTile->verts[bestPoly->verts[(link->edge+1) % bestPoly->vertCount]*3]; float tseg; float distSqr = distancePtSegSqr2D(centerPos, va, vb, tseg); // If the circle is not touching the next polygon, skip it. if (distSqr > radiusSqr) continue; // Expand to neighbour it = decodePolyIdTile(neighbourRef); ip = decodePolyIdPoly(neighbourRef); const dtMeshTile* neighbourTile = &m_tiles[it]; const dtPoly* neighbourPoly = &neighbourTile->polys[ip]; if (!passFilter(filter, neighbourPoly->flags)) continue; dtNode newNode; newNode.pidx = m_nodePool->getNodeIdx(bestNode); newNode.id = neighbourRef; // Cost float edgeMidPoint[3]; getEdgeMidPoint(bestRef, bestPoly, bestTile, neighbourRef, neighbourPoly, neighbourTile, edgeMidPoint); newNode.total = bestNode->total + vdist(previousEdgeMidPoint, edgeMidPoint); dtNode* actualNode = m_nodePool->getNode(newNode.id); if (!actualNode) continue; if (!((actualNode->flags & DT_NODE_OPEN) && newNode.total > actualNode->total) && !((actualNode->flags & DT_NODE_CLOSED) && newNode.total > actualNode->total)) { actualNode->flags &= ~DT_NODE_CLOSED; actualNode->pidx = newNode.pidx; actualNode->total = newNode.total; if (actualNode->flags & DT_NODE_OPEN) { m_openList->modify(actualNode); } else { if (n < maxResult) { if (resultRef) resultRef[n] = actualNode->id; if (resultParent) resultParent[n] = m_nodePool->getNodeAtIdx(actualNode->pidx)->id; if (resultCost) resultCost[n] = actualNode->total; ++n; } actualNode->flags = DT_NODE_OPEN; m_openList->push(actualNode); } } } } return n; } float dtNavMesh::findDistanceToWall(dtPolyRef centerRef, const float* centerPos, float maxRadius, dtQueryFilter* filter, float* hitPos, float* hitNormal) { if (!centerRef) return 0; if (!getPolyByRef(centerRef)) return 0; if (!m_nodePool || !m_openList) return 0; m_nodePool->clear(); m_openList->clear(); dtNode* startNode = m_nodePool->getNode(centerRef); startNode->pidx = 0; startNode->cost = 0; startNode->total = 0; startNode->id = centerRef; startNode->flags = DT_NODE_OPEN; m_openList->push(startNode); float radiusSqr = sqr(maxRadius); unsigned int it, ip; while (!m_openList->empty()) { dtNode* bestNode = m_openList->pop(); float previousEdgeMidPoint[3]; // Get poly and tile. // The API input has been cheked already, skip checking internal data. const dtPolyRef bestRef = bestNode->id; it = decodePolyIdTile(bestRef); ip = decodePolyIdPoly(bestRef); const dtMeshTile* bestTile = &m_tiles[it]; const dtPoly* bestPoly = &bestTile->polys[ip]; // Get parent poly and tile. dtPolyRef parentRef = 0; const dtMeshTile* parentTile = 0; const dtPoly* parentPoly = 0; if (bestNode->pidx) parentRef = m_nodePool->getNodeAtIdx(bestNode->pidx)->id; if (parentRef) { it = decodePolyIdTile(parentRef); ip = decodePolyIdPoly(parentRef); parentTile = &m_tiles[it]; parentPoly = &parentTile->polys[ip]; getEdgeMidPoint(parentRef, parentPoly, parentTile, bestRef, bestPoly, bestTile, previousEdgeMidPoint); } else { vcopy(previousEdgeMidPoint, centerPos); } // Hit test walls. for (int i = 0, j = (int)bestPoly->vertCount-1; i < (int)bestPoly->vertCount; j = i++) { // Skip non-solid edges. if (bestPoly->neis[j] & DT_EXT_LINK) { // Tile border. bool solid = true; for (unsigned int k = bestPoly->firstLink; k != DT_NULL_LINK; k = bestTile->links[k].next) { const dtLink* link = &bestTile->links[k]; if (link->edge == j) { if (link->ref != 0 && passFilter(filter, getPolyFlags(link->ref))) solid = false; break; } } if (!solid) continue; } else if (bestPoly->neis[j] && passFilter(filter, bestTile->polys[bestPoly->neis[j]].flags)) { // Internal edge continue; } // Calc distance to the edge. const float* vj = &bestTile->verts[bestPoly->verts[j]*3]; const float* vi = &bestTile->verts[bestPoly->verts[i]*3]; float tseg; float distSqr = distancePtSegSqr2D(centerPos, vj, vi, tseg); // Edge is too far, skip. if (distSqr > radiusSqr) continue; // Hit wall, update radius. radiusSqr = distSqr; // Calculate hit pos. hitPos[0] = vj[0] + (vi[0] - vj[0])*tseg; hitPos[1] = vj[1] + (vi[1] - vj[1])*tseg; hitPos[2] = vj[2] + (vi[2] - vj[2])*tseg; } for (unsigned int i = bestPoly->firstLink; i != DT_NULL_LINK; i = bestTile->links[i].next) { const dtLink* link = &bestTile->links[i]; dtPolyRef neighbourRef = link->ref; // Skip invalid neighbours and do not follow back to parent. if (!neighbourRef || neighbourRef == parentRef) continue; // Calc distance to the edge. const float* va = &bestTile->verts[bestPoly->verts[link->edge]*3]; const float* vb = &bestTile->verts[bestPoly->verts[(link->edge+1) % bestPoly->vertCount]*3]; float tseg; float distSqr = distancePtSegSqr2D(centerPos, va, vb, tseg); // If the circle is not touching the next polygon, skip it. if (distSqr > radiusSqr) continue; // Expand to neighbour. it = decodePolyIdTile(neighbourRef); ip = decodePolyIdPoly(neighbourRef); const dtMeshTile* neighbourTile = &m_tiles[it]; const dtPoly* neighbourPoly = &neighbourTile->polys[ip]; if (!passFilter(filter, neighbourPoly->flags)) continue; dtNode newNode; newNode.pidx = m_nodePool->getNodeIdx(bestNode); newNode.id = neighbourRef; // Cost float edgeMidPoint[3]; getEdgeMidPoint(bestRef, bestPoly, bestTile, neighbourRef, neighbourPoly, neighbourTile, edgeMidPoint); newNode.total = bestNode->total + vdist(previousEdgeMidPoint, edgeMidPoint); dtNode* actualNode = m_nodePool->getNode(newNode.id); if (!actualNode) continue; if (!((actualNode->flags & DT_NODE_OPEN) && newNode.total > actualNode->total) && !((actualNode->flags & DT_NODE_CLOSED) && newNode.total > actualNode->total)) { actualNode->flags &= ~DT_NODE_CLOSED; actualNode->pidx = newNode.pidx; actualNode->total = newNode.total; if (actualNode->flags & DT_NODE_OPEN) { m_openList->modify(actualNode); } else { actualNode->flags = DT_NODE_OPEN; m_openList->push(actualNode); } } } } // Calc hit normal. vsub(hitNormal, centerPos, hitPos); vnormalize(hitNormal); return sqrtf(radiusSqr); } const dtPoly* dtNavMesh::getPolyByRef(dtPolyRef ref) const { unsigned int salt, it, ip; decodePolyId(ref, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return 0; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return 0; if (ip >= (unsigned int)m_tiles[it].header->polyCount) return 0; return &m_tiles[it].polys[ip]; } const float* dtNavMesh::getPolyVertsByRef(dtPolyRef ref) const { unsigned int salt, it, ip; decodePolyId(ref, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return 0; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return 0; if (ip >= (unsigned int)m_tiles[it].header->polyCount) return 0; return m_tiles[it].verts; } const dtLink* dtNavMesh::getPolyLinksByRef(dtPolyRef ref) const { unsigned int salt, it, ip; decodePolyId(ref, salt, it, ip); if (it >= (unsigned int)m_maxTiles) return 0; if (m_tiles[it].salt != salt || m_tiles[it].header == 0) return 0; if (ip >= (unsigned int)m_tiles[it].header->polyCount) return 0; return m_tiles[it].links; } bool dtNavMesh::isInClosedList(dtPolyRef ref) const { if (!m_nodePool) return false; const dtNode* node = m_nodePool->findNode(ref); return node && node->flags & DT_NODE_CLOSED; }