/* Copyright (c) 2009-2010 Mikko Mononen memon@inside.org recast4j copyright (c) 2015-2019 Piotr Piastucki piotr@jtilia.org DotRecast Copyright (c) 2023 Choi Ikpil ikpil@naver.com 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. */ using System; using DotRecast.Core; namespace DotRecast.Recast { using static RcConstants; public static class RecastArea { /// @par /// /// Basically, any spans that are closer to a boundary or obstruction than the specified radius /// are marked as unwalkable. /// /// This method is usually called immediately after the heightfield has been built. /// /// @see rcCompactHeightfield, rcBuildCompactHeightfield, rcConfig::walkableRadius public static void ErodeWalkableArea(Telemetry ctx, int radius, RcCompactHeightfield chf) { int w = chf.width; int h = chf.height; ctx.StartTimer("ERODE_AREA"); int[] dist = new int[chf.spanCount]; Array.Fill(dist, 255); // Mark boundary cells. for (int y = 0; y < h; ++y) { for (int x = 0; x < w; ++x) { RcCompactCell c = chf.cells[x + y * w]; for (int i = c.index, ni = c.index + c.count; i < ni; ++i) { if (chf.areas[i] == RC_NULL_AREA) { dist[i] = 0; } else { RcCompactSpan s = chf.spans[i]; int nc = 0; for (int dir = 0; dir < 4; ++dir) { if (RecastCommon.GetCon(s, dir) != RC_NOT_CONNECTED) { int nx = x + RecastCommon.GetDirOffsetX(dir); int ny = y + RecastCommon.GetDirOffsetY(dir); int nidx = chf.cells[nx + ny * w].index + RecastCommon.GetCon(s, dir); if (chf.areas[nidx] != RC_NULL_AREA) { nc++; } } } // At least one missing neighbour. if (nc != 4) dist[i] = 0; } } } } int nd; // Pass 1 for (int y = 0; y < h; ++y) { for (int x = 0; x < w; ++x) { RcCompactCell c = chf.cells[x + y * w]; for (int i = c.index, ni = c.index + c.count; i < ni; ++i) { RcCompactSpan s = chf.spans[i]; if (RecastCommon.GetCon(s, 0) != RC_NOT_CONNECTED) { // (-1,0) int ax = x + RecastCommon.GetDirOffsetX(0); int ay = y + RecastCommon.GetDirOffsetY(0); int ai = chf.cells[ax + ay * w].index + RecastCommon.GetCon(s, 0); RcCompactSpan @as = chf.spans[ai]; nd = Math.Min(dist[ai] + 2, 255); if (nd < dist[i]) dist[i] = nd; // (-1,-1) if (RecastCommon.GetCon(@as, 3) != RC_NOT_CONNECTED) { int aax = ax + RecastCommon.GetDirOffsetX(3); int aay = ay + RecastCommon.GetDirOffsetY(3); int aai = chf.cells[aax + aay * w].index + RecastCommon.GetCon(@as, 3); nd = Math.Min(dist[aai] + 3, 255); if (nd < dist[i]) dist[i] = nd; } } if (RecastCommon.GetCon(s, 3) != RC_NOT_CONNECTED) { // (0,-1) int ax = x + RecastCommon.GetDirOffsetX(3); int ay = y + RecastCommon.GetDirOffsetY(3); int ai = chf.cells[ax + ay * w].index + RecastCommon.GetCon(s, 3); RcCompactSpan @as = chf.spans[ai]; nd = Math.Min(dist[ai] + 2, 255); if (nd < dist[i]) dist[i] = nd; // (1,-1) if (RecastCommon.GetCon(@as, 2) != RC_NOT_CONNECTED) { int aax = ax + RecastCommon.GetDirOffsetX(2); int aay = ay + RecastCommon.GetDirOffsetY(2); int aai = chf.cells[aax + aay * w].index + RecastCommon.GetCon(@as, 2); nd = Math.Min(dist[aai] + 3, 255); if (nd < dist[i]) dist[i] = nd; } } } } } // Pass 2 for (int y = h - 1; y >= 0; --y) { for (int x = w - 1; x >= 0; --x) { RcCompactCell c = chf.cells[x + y * w]; for (int i = c.index, ni = c.index + c.count; i < ni; ++i) { RcCompactSpan s = chf.spans[i]; if (RecastCommon.GetCon(s, 2) != RC_NOT_CONNECTED) { // (1,0) int ax = x + RecastCommon.GetDirOffsetX(2); int ay = y + RecastCommon.GetDirOffsetY(2); int ai = chf.cells[ax + ay * w].index + RecastCommon.GetCon(s, 2); RcCompactSpan @as = chf.spans[ai]; nd = Math.Min(dist[ai] + 2, 255); if (nd < dist[i]) dist[i] = nd; // (1,1) if (RecastCommon.GetCon(@as, 1) != RC_NOT_CONNECTED) { int aax = ax + RecastCommon.GetDirOffsetX(1); int aay = ay + RecastCommon.GetDirOffsetY(1); int aai = chf.cells[aax + aay * w].index + RecastCommon.GetCon(@as, 1); nd = Math.Min(dist[aai] + 3, 255); if (nd < dist[i]) dist[i] = nd; } } if (RecastCommon.GetCon(s, 1) != RC_NOT_CONNECTED) { // (0,1) int ax = x + RecastCommon.GetDirOffsetX(1); int ay = y + RecastCommon.GetDirOffsetY(1); int ai = chf.cells[ax + ay * w].index + RecastCommon.GetCon(s, 1); RcCompactSpan @as = chf.spans[ai]; nd = Math.Min(dist[ai] + 2, 255); if (nd < dist[i]) dist[i] = nd; // (-1,1) if (RecastCommon.GetCon(@as, 0) != RC_NOT_CONNECTED) { int aax = ax + RecastCommon.GetDirOffsetX(0); int aay = ay + RecastCommon.GetDirOffsetY(0); int aai = chf.cells[aax + aay * w].index + RecastCommon.GetCon(@as, 0); nd = Math.Min(dist[aai] + 3, 255); if (nd < dist[i]) dist[i] = nd; } } } } } int thr = radius * 2; for (int i = 0; i < chf.spanCount; ++i) if (dist[i] < thr) chf.areas[i] = RC_NULL_AREA; ctx.StopTimer("ERODE_AREA"); } /// @par /// /// This filter is usually applied after applying area id's using functions /// such as #rcMarkBoxArea, #rcMarkConvexPolyArea, and #rcMarkCylinderArea. /// /// @see rcCompactHeightfield public static bool MedianFilterWalkableArea(Telemetry ctx, RcCompactHeightfield chf) { int w = chf.width; int h = chf.height; ctx.StartTimer("MEDIAN_AREA"); int[] areas = new int[chf.spanCount]; for (int y = 0; y < h; ++y) { for (int x = 0; x < w; ++x) { RcCompactCell c = chf.cells[x + y * w]; for (int i = c.index, ni = c.index + c.count; i < ni; ++i) { RcCompactSpan s = chf.spans[i]; if (chf.areas[i] == RC_NULL_AREA) { areas[i] = chf.areas[i]; continue; } int[] nei = new int[9]; for (int j = 0; j < 9; ++j) nei[j] = chf.areas[i]; for (int dir = 0; dir < 4; ++dir) { if (RecastCommon.GetCon(s, dir) != RC_NOT_CONNECTED) { int ax = x + RecastCommon.GetDirOffsetX(dir); int ay = y + RecastCommon.GetDirOffsetY(dir); int ai = chf.cells[ax + ay * w].index + RecastCommon.GetCon(s, dir); if (chf.areas[ai] != RC_NULL_AREA) nei[dir * 2 + 0] = chf.areas[ai]; RcCompactSpan @as = chf.spans[ai]; int dir2 = (dir + 1) & 0x3; if (RecastCommon.GetCon(@as, dir2) != RC_NOT_CONNECTED) { int ax2 = ax + RecastCommon.GetDirOffsetX(dir2); int ay2 = ay + RecastCommon.GetDirOffsetY(dir2); int ai2 = chf.cells[ax2 + ay2 * w].index + RecastCommon.GetCon(@as, dir2); if (chf.areas[ai2] != RC_NULL_AREA) nei[dir * 2 + 1] = chf.areas[ai2]; } } } Array.Sort(nei); areas[i] = nei[4]; } } } chf.areas = areas; ctx.StopTimer("MEDIAN_AREA"); return true; } /// @par /// /// The value of spacial parameters are in world units. /// /// @see rcCompactHeightfield, rcMedianFilterWalkableArea public static void MarkBoxArea(Telemetry ctx, float[] bmin, float[] bmax, AreaModification areaMod, RcCompactHeightfield chf) { ctx.StartTimer("MARK_BOX_AREA"); int minx = (int)((bmin[0] - chf.bmin.x) / chf.cs); int miny = (int)((bmin[1] - chf.bmin.y) / chf.ch); int minz = (int)((bmin[2] - chf.bmin.z) / chf.cs); int maxx = (int)((bmax[0] - chf.bmin.x) / chf.cs); int maxy = (int)((bmax[1] - chf.bmin.y) / chf.ch); int maxz = (int)((bmax[2] - chf.bmin.z) / chf.cs); if (maxx < 0) return; if (minx >= chf.width) return; if (maxz < 0) return; if (minz >= chf.height) return; if (minx < 0) minx = 0; if (maxx >= chf.width) maxx = chf.width - 1; if (minz < 0) minz = 0; if (maxz >= chf.height) maxz = chf.height - 1; for (int z = minz; z <= maxz; ++z) { for (int x = minx; x <= maxx; ++x) { RcCompactCell c = chf.cells[x + z * chf.width]; for (int i = c.index, ni = c.index + c.count; i < ni; ++i) { RcCompactSpan s = chf.spans[i]; if (s.y >= miny && s.y <= maxy) { if (chf.areas[i] != RC_NULL_AREA) chf.areas[i] = areaMod.Apply(chf.areas[i]); } } } } ctx.StopTimer("MARK_BOX_AREA"); } static bool PointInPoly(float[] verts, RcVec3f p) { bool c = false; int i, j; for (i = 0, j = verts.Length - 3; i < verts.Length; j = i, i += 3) { int vi = i; int vj = j; if (((verts[vi + 2] > p.z) != (verts[vj + 2] > p.z)) && (p.x < (verts[vj] - verts[vi]) * (p.z - verts[vi + 2]) / (verts[vj + 2] - verts[vi + 2]) + verts[vi])) c = !c; } return c; } /// @par /// /// The value of spacial parameters are in world units. /// /// The y-values of the polygon vertices are ignored. So the polygon is effectively /// projected onto the xz-plane at @p hmin, then extruded to @p hmax. /// /// @see rcCompactHeightfield, rcMedianFilterWalkableArea public static void MarkConvexPolyArea(Telemetry ctx, float[] verts, float hmin, float hmax, AreaModification areaMod, RcCompactHeightfield chf) { ctx.StartTimer("MARK_CONVEXPOLY_AREA"); RcVec3f bmin = new RcVec3f(); RcVec3f bmax = new RcVec3f(); RcVec3f.Copy(ref bmin, verts, 0); RcVec3f.Copy(ref bmax, verts, 0); for (int i = 3; i < verts.Length; i += 3) { bmin.Min(verts, i); bmax.Max(verts, i); } bmin.y = hmin; bmax.y = hmax; int minx = (int)((bmin.x - chf.bmin.x) / chf.cs); int miny = (int)((bmin.y - chf.bmin.y) / chf.ch); int minz = (int)((bmin.z - chf.bmin.z) / chf.cs); int maxx = (int)((bmax.x - chf.bmin.x) / chf.cs); int maxy = (int)((bmax.y - chf.bmin.y) / chf.ch); int maxz = (int)((bmax.z - chf.bmin.z) / chf.cs); if (maxx < 0) return; if (minx >= chf.width) return; if (maxz < 0) return; if (minz >= chf.height) return; if (minx < 0) minx = 0; if (maxx >= chf.width) maxx = chf.width - 1; if (minz < 0) minz = 0; if (maxz >= chf.height) maxz = chf.height - 1; // TODO: Optimize. for (int z = minz; z <= maxz; ++z) { for (int x = minx; x <= maxx; ++x) { RcCompactCell c = chf.cells[x + z * chf.width]; for (int i = c.index, ni = c.index + c.count; i < ni; ++i) { RcCompactSpan s = chf.spans[i]; if (chf.areas[i] == RC_NULL_AREA) continue; if (s.y >= miny && s.y <= maxy) { RcVec3f p = new RcVec3f(); p.x = chf.bmin.x + (x + 0.5f) * chf.cs; p.y = 0; p.z = chf.bmin.z + (z + 0.5f) * chf.cs; if (PointInPoly(verts, p)) { chf.areas[i] = areaMod.Apply(chf.areas[i]); } } } } } ctx.StopTimer("MARK_CONVEXPOLY_AREA"); } public static int OffsetPoly(float[] verts, int nverts, float offset, float[] outVerts, int maxOutVerts) { float MITER_LIMIT = 1.20f; int n = 0; for (int i = 0; i < nverts; i++) { int a = (i + nverts - 1) % nverts; int b = i; int c = (i + 1) % nverts; int va = a * 3; int vb = b * 3; int vc = c * 3; float dx0 = verts[vb] - verts[va]; float dy0 = verts[vb + 2] - verts[va + 2]; float d0 = dx0 * dx0 + dy0 * dy0; if (d0 > 1e-6f) { d0 = (float)(1.0f / Math.Sqrt(d0)); dx0 *= d0; dy0 *= d0; } float dx1 = verts[vc] - verts[vb]; float dy1 = verts[vc + 2] - verts[vb + 2]; float d1 = dx1 * dx1 + dy1 * dy1; if (d1 > 1e-6f) { d1 = (float)(1.0f / Math.Sqrt(d1)); dx1 *= d1; dy1 *= d1; } float dlx0 = -dy0; float dly0 = dx0; float dlx1 = -dy1; float dly1 = dx1; float cross = dx1 * dy0 - dx0 * dy1; float dmx = (dlx0 + dlx1) * 0.5f; float dmy = (dly0 + dly1) * 0.5f; float dmr2 = dmx * dmx + dmy * dmy; bool bevel = dmr2 * MITER_LIMIT * MITER_LIMIT < 1.0f; if (dmr2 > 1e-6f) { float scale = 1.0f / dmr2; dmx *= scale; dmy *= scale; } if (bevel && cross < 0.0f) { if (n + 2 >= maxOutVerts) return 0; float d = (1.0f - (dx0 * dx1 + dy0 * dy1)) * 0.5f; outVerts[n * 3 + 0] = verts[vb] + (-dlx0 + dx0 * d) * offset; outVerts[n * 3 + 1] = verts[vb + 1]; outVerts[n * 3 + 2] = verts[vb + 2] + (-dly0 + dy0 * d) * offset; n++; outVerts[n * 3 + 0] = verts[vb] + (-dlx1 - dx1 * d) * offset; outVerts[n * 3 + 1] = verts[vb + 1]; outVerts[n * 3 + 2] = verts[vb + 2] + (-dly1 - dy1 * d) * offset; n++; } else { if (n + 1 >= maxOutVerts) return 0; outVerts[n * 3 + 0] = verts[vb] - dmx * offset; outVerts[n * 3 + 1] = verts[vb + 1]; outVerts[n * 3 + 2] = verts[vb + 2] - dmy * offset; n++; } } return n; } /// @par /// /// The value of spacial parameters are in world units. /// /// @see rcCompactHeightfield, rcMedianFilterWalkableArea public static void MarkCylinderArea(Telemetry ctx, float[] pos, float r, float h, AreaModification areaMod, RcCompactHeightfield chf) { ctx.StartTimer("MARK_CYLINDER_AREA"); RcVec3f bmin = new RcVec3f(); RcVec3f bmax = new RcVec3f(); bmin.x = pos[0] - r; bmin.y = pos[1]; bmin.z = pos[2] - r; bmax.x = pos[0] + r; bmax.y = pos[1] + h; bmax.z = pos[2] + r; float r2 = r * r; int minx = (int)((bmin.x - chf.bmin.x) / chf.cs); int miny = (int)((bmin.y - chf.bmin.y) / chf.ch); int minz = (int)((bmin.z - chf.bmin.z) / chf.cs); int maxx = (int)((bmax.x - chf.bmin.x) / chf.cs); int maxy = (int)((bmax.y - chf.bmin.y) / chf.ch); int maxz = (int)((bmax.z - chf.bmin.z) / chf.cs); if (maxx < 0) return; if (minx >= chf.width) return; if (maxz < 0) return; if (minz >= chf.height) return; if (minx < 0) minx = 0; if (maxx >= chf.width) maxx = chf.width - 1; if (minz < 0) minz = 0; if (maxz >= chf.height) maxz = chf.height - 1; for (int z = minz; z <= maxz; ++z) { for (int x = minx; x <= maxx; ++x) { RcCompactCell c = chf.cells[x + z * chf.width]; for (int i = c.index, ni = c.index + c.count; i < ni; ++i) { RcCompactSpan s = chf.spans[i]; if (chf.areas[i] == RC_NULL_AREA) continue; if (s.y >= miny && s.y <= maxy) { float sx = chf.bmin.x + (x + 0.5f) * chf.cs; float sz = chf.bmin.z + (z + 0.5f) * chf.cs; float dx = sx - pos[0]; float dz = sz - pos[2]; if (dx * dx + dz * dz < r2) { chf.areas[i] = areaMod.Apply(chf.areas[i]); } } } } } ctx.StopTimer("MARK_CYLINDER_AREA"); } } }