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+//
+// 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.
+//
+
+#ifndef RECAST_H
+#define RECAST_H
+
+// The units of the parameters are specified in parenthesis as follows:
+// (vx) voxels, (wu) world units
+struct rcConfig
+{
+ int width, height; // Dimensions of the rasterized heighfield (vx)
+ int tileSize; // Width and Height of a tile (vx)
+ int borderSize; // Non-navigable Border around the heightfield (vx)
+ float cs, ch; // Grid cell size and height (wu)
+ float bmin[3], bmax[3]; // Grid bounds (wu)
+ float walkableSlopeAngle; // Maximum walkble slope angle in degrees.
+ int walkableHeight; // Minimum height where the agent can still walk (vx)
+ int walkableClimb; // Maximum height between grid cells the agent can climb (vx)
+ int walkableRadius; // Radius of the agent in cells (vx)
+ int maxEdgeLen; // Maximum contour edge length (vx)
+ float maxSimplificationError; // Maximum distance error from contour to cells (vx)
+ int minRegionSize; // Minimum regions size. Smaller regions will be deleted (vx)
+ int mergeRegionSize; // Minimum regions size. Smaller regions will be merged (vx)
+ int maxVertsPerPoly; // Max number of vertices per polygon
+ float detailSampleDist; // Detail mesh sample spacing.
+ float detailSampleMaxError; // Detail mesh simplification max sample error.
+};
+
+// Heightfield span.
+struct rcSpan
+{
+ unsigned int smin : 15; // Span min height.
+ unsigned int smax : 15; // Span max height.
+ unsigned int flags : 2; // Span flags.
+ rcSpan* next; // Next span in column.
+};
+
+static const int RC_SPANS_PER_POOL = 2048;
+
+// Memory pool used for quick span allocation.
+struct rcSpanPool
+{
+ rcSpanPool* next; // Pointer to next pool.
+ rcSpan items[1]; // Array of spans (size RC_SPANS_PER_POOL).
+};
+
+// Dynamic span-heightfield.
+struct rcHeightfield
+{
+ inline rcHeightfield() : width(0), height(0), spans(0), pools(0), freelist(0) {}
+ inline ~rcHeightfield()
+ {
+ // Delete span array.
+ delete [] spans;
+ // Delete span pools.
+ while (pools)
+ {
+ rcSpanPool* next = pools->next;
+ delete [] reinterpret_cast<unsigned char*>(pools);
+ pools = next;
+ }
+ }
+ int width, height; // Dimension of the heightfield.
+ float bmin[3], bmax[3]; // Bounding box of the heightfield
+ float cs, ch; // Cell size and height.
+ rcSpan** spans; // Heightfield of spans (width*height).
+ rcSpanPool* pools; // Linked list of span pools.
+ rcSpan* freelist; // Pointer to next free span.
+};
+
+struct rcCompactCell
+{
+ unsigned int index : 24; // Index to first span in column.
+ unsigned int count : 8; // Number of spans in this column.
+};
+
+struct rcCompactSpan
+{
+ unsigned short y; // Bottom coordinate of the span.
+ unsigned short reg; // Region ID
+ unsigned short dist; // Distance to border
+ unsigned short con; // Connections to neighbour cells.
+ unsigned char h; // Height of the span.
+ unsigned char flags; // Flags.
+};
+
+// Compact static heightfield.
+struct rcCompactHeightfield
+{
+ inline rcCompactHeightfield() : maxDistance(0), maxRegions(0), cells(0), spans(0) {}
+ inline ~rcCompactHeightfield() { delete [] cells; delete [] spans; }
+ int width, height; // Width and height of the heighfield.
+ int spanCount; // Number of spans in the heightfield.
+ int walkableHeight, walkableClimb; // Agent properties.
+ unsigned short maxDistance; // Maximum distance value stored in heightfield.
+ unsigned short maxRegions; // Maximum Region Id stored in heightfield.
+ float bmin[3], bmax[3]; // Bounding box of the heightfield.
+ float cs, ch; // Cell size and height.
+ rcCompactCell* cells; // Pointer to width*height cells.
+ rcCompactSpan* spans; // Pointer to spans.
+};
+
+struct rcContour
+{
+ inline rcContour() : verts(0), nverts(0), rverts(0), nrverts(0) { }
+ inline ~rcContour() { delete [] verts; delete [] rverts; }
+ int* verts; // Vertex coordinates, each vertex contains 4 components.
+ int nverts; // Number of vertices.
+ int* rverts; // Raw vertex coordinates, each vertex contains 4 components.
+ int nrverts; // Number of raw vertices.
+ unsigned short reg; // Region ID of the contour.
+};
+
+struct rcContourSet
+{
+ inline rcContourSet() : conts(0), nconts(0) {}
+ inline ~rcContourSet() { delete [] conts; }
+ rcContour* conts; // Pointer to all contours.
+ int nconts; // Number of contours.
+ float bmin[3], bmax[3]; // Bounding box of the heightfield.
+ float cs, ch; // Cell size and height.
+};
+
+// Polymesh store a connected mesh of polygons.
+// The polygons are store in an array where each polygons takes
+// 'nvp*2' elements. The first 'nvp' elements are indices to vertices
+// and the second 'nvp' elements are indices to neighbour polygons.
+// If a polygona has less than 'bvp' vertices, the remaining indices
+// are set os 0xffff. If an polygon edge does not have a neighbour
+// the neighbour index is set to 0xffff.
+// Vertices can be transformed into world space as follows:
+// x = bmin[0] + verts[i*3+0]*cs;
+// y = bmin[1] + verts[i*3+1]*ch;
+// z = bmin[2] + verts[i*3+2]*cs;
+struct rcPolyMesh
+{
+ inline rcPolyMesh() : verts(0), polys(0), regs(0), nverts(0), npolys(0), nvp(3) {}
+ inline ~rcPolyMesh() { delete [] verts; delete [] polys; delete [] regs; }
+ unsigned short* verts; // Vertices of the mesh, 3 elements per vertex.
+ unsigned short* polys; // Polygons of the mesh, nvp*2 elements per polygon.
+ unsigned short* regs; // Regions of the polygons.
+ int nverts; // Number of vertices.
+ int npolys; // Number of polygons.
+ int nvp; // Max number of vertices per polygon.
+ float bmin[3], bmax[3]; // Bounding box of the mesh.
+ float cs, ch; // Cell size and height.
+};
+
+// Detail mesh generated from a rcPolyMesh.
+// Each submesh represents a polygon in the polymesh and they are stored in
+// excatly same order. Each submesh is described as 4 values:
+// base vertex, vertex count, base triangle, triangle count. That is,
+// const unsigned char* t = &dtl.tris[(tbase+i)*3]; and
+// const float* v = &dtl.verts[(vbase+t[j])*3];
+// If the input polygon has 'n' vertices, those vertices are first in the
+// submesh vertex list. This allows to compres the mesh by not storing the
+// first vertices and using the polymesh vertices instead.
+
+struct rcPolyMeshDetail
+{
+ inline rcPolyMeshDetail() :
+ meshes(0), verts(0), tris(0),
+ nmeshes(0), nverts(0), ntris(0) {}
+ inline ~rcPolyMeshDetail()
+ {
+ delete [] meshes; delete [] verts; delete [] tris;
+ }
+
+ unsigned short* meshes; // Pointer to all mesh data.
+ float* verts; // Pointer to all vertex data.
+ unsigned char* tris; // Pointer to all triangle data.
+ int nmeshes; // Number of meshes.
+ int nverts; // Number of total vertices.
+ int ntris; // Number of triangles.
+};
+
+
+// Simple dynamic array ints.
+class rcIntArray
+{
+ int* m_data;
+ int m_size, m_cap;
+public:
+ inline rcIntArray() : m_data(0), m_size(0), m_cap(0) {}
+ inline rcIntArray(int n) : m_data(0), m_size(0), m_cap(n) { m_data = new int[n]; }
+ inline ~rcIntArray() { delete [] m_data; }
+ void resize(int n);
+ inline void push(int item) { resize(m_size+1); m_data[m_size-1] = item; }
+ inline int pop() { if (m_size > 0) m_size--; return m_data[m_size]; }
+ inline const int& operator[](int i) const { return m_data[i]; }
+ inline int& operator[](int i) { return m_data[i]; }
+ inline int size() const { return m_size; }
+};
+
+enum rcSpanFlags
+{
+ RC_WALKABLE = 0x01,
+ RC_REACHABLE = 0x02,
+};
+
+// If heightfield region ID has the following bit set, the region is on border area
+// and excluded from many calculations.
+static const unsigned short RC_BORDER_REG = 0x8000;
+
+// If contour region ID has the following bit set, the vertex will be later
+// removed in order to match the segments and vertices at tile boundaries.
+static const int RC_BORDER_VERTEX = 0x10000;
+
+// Compact span neighbour helpers.
+inline int rcGetCon(const rcCompactSpan& s, int dir)
+{
+ return (s.con >> (dir*4)) & 0xf;
+}
+
+inline int rcGetDirOffsetX(int dir)
+{
+ const int offset[4] = { -1, 0, 1, 0, };
+ return offset[dir&0x03];
+}
+
+inline int rcGetDirOffsetY(int dir)
+{
+ const int offset[4] = { 0, 1, 0, -1 };
+ return offset[dir&0x03];
+}
+
+// Common helper functions
+template<class T> inline void rcSwap(T& a, T& b) { T t = a; a = b; b = t; }
+template<class T> inline T rcMin(T a, T b) { return a < b ? a : b; }
+template<class T> inline T rcMax(T a, T b) { return a > b ? a : b; }
+template<class T> inline T rcAbs(T a) { return a < 0 ? -a : a; }
+template<class T> inline T rcSqr(T a) { return a*a; }
+template<class T> inline T rcClamp(T v, T mn, T mx) { return v < mn ? mn : (v > mx ? mx : v); }
+
+// Common vector helper functions.
+inline void vcross(float* dest, const float* v1, const float* v2)
+{
+ dest[0] = v1[1]*v2[2] - v1[2]*v2[1];
+ dest[1] = v1[2]*v2[0] - v1[0]*v2[2];
+ dest[2] = v1[0]*v2[1] - v1[1]*v2[0];
+}
+
+inline float vdot(const float* v1, const float* v2)
+{
+ return v1[0]*v2[0] + v1[1]*v2[1] + v1[2]*v2[2];
+}
+
+inline void vmad(float* dest, const float* v1, const float* v2, const float s)
+{
+ dest[0] = v1[0]+v2[0]*s;
+ dest[1] = v1[1]+v2[1]*s;
+ dest[2] = v1[2]+v2[2]*s;
+}
+
+inline void vadd(float* dest, const float* v1, const float* v2)
+{
+ dest[0] = v1[0]+v2[0];
+ dest[1] = v1[1]+v2[1];
+ dest[2] = v1[2]+v2[2];
+}
+
+inline void vsub(float* dest, const float* v1, const float* v2)
+{
+ dest[0] = v1[0]-v2[0];
+ dest[1] = v1[1]-v2[1];
+ dest[2] = v1[2]-v2[2];
+}
+
+inline void vmin(float* mn, const float* v)
+{
+ mn[0] = rcMin(mn[0], v[0]);
+ mn[1] = rcMin(mn[1], v[1]);
+ mn[2] = rcMin(mn[2], v[2]);
+}
+
+inline void vmax(float* mx, const float* v)
+{
+ mx[0] = rcMax(mx[0], v[0]);
+ mx[1] = rcMax(mx[1], v[1]);
+ mx[2] = rcMax(mx[2], v[2]);
+}
+
+inline void vcopy(float* dest, const float* v)
+{
+ dest[0] = v[0];
+ dest[1] = v[1];
+ dest[2] = v[2];
+}
+
+inline float vdist(const float* v1, const float* v2)
+{
+ float dx = v2[0] - v1[0];
+ float dy = v2[1] - v1[1];
+ float dz = v2[2] - v1[2];
+ return sqrtf(dx*dx + dy*dy + dz*dz);
+}
+
+inline float vdistSqr(const float* v1, const float* v2)
+{
+ float dx = v2[0] - v1[0];
+ float dy = v2[1] - v1[1];
+ float dz = v2[2] - v1[2];
+ return dx*dx + dy*dy + dz*dz;
+}
+
+inline void vnormalize(float* v)
+{
+ float d = 1.0f / sqrtf(rcSqr(v[0]) + rcSqr(v[1]) + rcSqr(v[2]));
+ v[0] *= d;
+ v[1] *= d;
+ v[2] *= d;
+}
+
+inline bool vequal(const float* p0, const float* p1)
+{
+ static const float thr = rcSqr(1.0f/16384.0f);
+ const float d = vdistSqr(p0, p1);
+ return d < thr;
+}
+
+
+// Calculated bounding box of array of vertices.
+// Params:
+// verts - (in) array of vertices
+// nv - (in) vertex count
+// bmin, bmax - (out) bounding box
+void rcCalcBounds(const float* verts, int nv, float* bmin, float* bmax);
+
+// Calculates grid size based on bounding box and grid cell size.
+// Params:
+// bmin, bmax - (in) bounding box
+// cs - (in) grid cell size
+// w - (out) grid width
+// h - (out) grid height
+void rcCalcGridSize(const float* bmin, const float* bmax, float cs, int* w, int* h);
+
+// Creates and initializes new heightfield.
+// Params:
+// hf - (in/out) heightfield to initialize.
+// width - (in) width of the heightfield.
+// height - (in) height of the heightfield.
+// bmin, bmax - (in) bounding box of the heightfield
+// cs - (in) grid cell size
+// ch - (in) grid cell height
+bool rcCreateHeightfield(rcHeightfield& hf, int width, int height,
+ const float* bmin, const float* bmax,
+ float cs, float ch);
+
+// Sets the WALKABLE flag for every triangle whose slope is below
+// the maximun walkable slope angle.
+// Params:
+// walkableSlopeAngle - (in) maximun slope angle in degrees.
+// verts - (in) array of vertices
+// nv - (in) vertex count
+// tris - (in) array of triangle vertex indices
+// nt - (in) triangle count
+// flags - (out) array of triangle flags
+void rcMarkWalkableTriangles(const float walkableSlopeAngle,
+ const float* verts, int nv,
+ const int* tris, int nt,
+ unsigned char* flags);
+
+// Rasterizes a triangle into heightfield spans.
+// Params:
+// v0,v1,v2 - (in) the vertices of the triangle.
+// flags - (in) triangle flags (uses WALKABLE)
+// solid - (in) heighfield where the triangle is rasterized
+void rcRasterizeTriangle(const float* v0, const float* v1, const float* v2,
+ unsigned char flags, rcHeightfield& solid);
+
+// Rasterizes the triangles into heightfield spans.
+// Params:
+// verts - (in) array of vertices
+// nv - (in) vertex count
+// tris - (in) array of triangle vertex indices
+// norms - (in) array of triangle normals
+// flags - (in) array of triangle flags (uses WALKABLE)
+// nt - (in) triangle count
+// solid - (in) heighfield where the triangles are rasterized
+void rcRasterizeTriangles(const float* verts, int nv,
+ const int* tris, const unsigned char* flags, int nt,
+ rcHeightfield& solid);
+
+// Removes WALKABLE flag from all spans that are at ledges. This filtering
+// removes possible overestimation of the conservative voxelization so that
+// the resulting mesh will not have regions hanging in air over ledges.
+// Params:
+// walkableHeight - (in) minimum height where the agent can still walk
+// walkableClimb - (in) maximum height between grid cells the agent can climb
+// solid - (in/out) heightfield describing the solid space
+void rcFilterLedgeSpans(const int walkableHeight,
+ const int walkableClimb,
+ rcHeightfield& solid);
+
+// Removes WALKABLE flag from all spans which have smaller than
+// 'walkableHeight' clearane above them.
+// Params:
+// walkableHeight - (in) minimum height where the agent can still walk
+// solid - (in/out) heightfield describing the solid space
+void rcFilterWalkableLowHeightSpans(int walkableHeight,
+ rcHeightfield& solid);
+
+// Marks spans which are reachable from any of the topmost spans.
+// Params:
+// walkableHeight - (in) minimum height where the agent can still walk
+// walkableClimb - (in) maximum height between grid cells the agent can climb
+// solid - (in/out) heightfield describing the solid space
+// Returns false if operation ran out of memory.
+bool rcMarkReachableSpans(const int walkableHeight,
+ const int walkableClimb,
+ rcHeightfield& solid);
+
+// Builds compact representation of the heightfield.
+// Params:
+// walkableHeight - (in) minimum height where the agent can still walk
+// walkableClimb - (in) maximum height between grid cells the agent can climb
+// hf - (in) heightfield to be compacted
+// chf - (out) compact heightfield representing the open space.
+// Returns false if operation ran out of memory.
+bool rcBuildCompactHeightfield(const int walkableHeight, const int walkableClimb,
+ unsigned char flags,
+ rcHeightfield& hf,
+ rcCompactHeightfield& chf);
+
+// Builds distance field and stores it into the combat heightfield.
+// Params:
+// chf - (in/out) compact heightfield representing the open space.
+// Returns false if operation ran out of memory.
+bool rcBuildDistanceField(rcCompactHeightfield& chf);
+
+// Divides the walkable heighfied into simple regions.
+// Each region has only one contour and no overlaps.
+// The regions are stored in the compact heightfield 'reg' field.
+// The regions will be shrinked by the radius of the agent.
+// The process sometimes creates small regions. The parameter
+// 'minRegionSize' specifies the smallest allowed regions size.
+// If the area of a regions is smaller than allowed, the regions is
+// removed or merged to neighbour region.
+// Params:
+// chf - (in/out) compact heightfield representing the open space.
+// walkableRadius - (in) the radius of the agent.
+// minRegionSize - (in) the smallest allowed regions size.
+// maxMergeRegionSize - (in) the largest allowed regions size which can be merged.
+// Returns false if operation ran out of memory.
+bool rcBuildRegions(rcCompactHeightfield& chf,
+ int walkableRadius, int borderSize,
+ int minRegionSize, int mergeRegionSize);
+
+// Builds simplified contours from the regions outlines.
+// Params:
+// chf - (in) compact heightfield which has regions set.
+// maxError - (in) maximum allowed distance between simplified countour and cells.
+// maxEdgeLen - (in) maximum allowed contour edge length in cells.
+// cset - (out) Resulting contour set.
+// Returns false if operation ran out of memory.
+bool rcBuildContours(rcCompactHeightfield& chf,
+ const float maxError, const int maxEdgeLen,
+ rcContourSet& cset);
+
+// Builds connected convex polygon mesh from contour polygons.
+// Params:
+// cset - (in) contour set.
+// nvp - (in) maximum number of vertices per polygon.
+// mesh - (out) poly mesh.
+// Returns false if operation ran out of memory.
+bool rcBuildPolyMesh(rcContourSet& cset, int nvp, rcPolyMesh& mesh);
+
+bool rcMergePolyMeshes(rcPolyMesh** meshes, const int nmeshes, rcPolyMesh& mesh);
+
+// Builds detail triangle mesh for each polygon in the poly mesh.
+// Params:
+// mesh - (in) poly mesh to detail.
+// chf - (in) compacy height field, used to query height for new vertices.
+// sampleDist - (in) spacing between height samples used to generate more detail into mesh.
+// sampleMaxError - (in) maximum allowed distance between simplified detail mesh and height sample.
+// pmdtl - (out) detail mesh.
+// Returns false if operation ran out of memory.
+bool rcBuildPolyMeshDetail(const rcPolyMesh& mesh, const rcCompactHeightfield& chf,
+ const float sampleDist, const float sampleMaxError,
+ rcPolyMeshDetail& dmesh);
+
+bool rcMergePolyMeshDetails(rcPolyMeshDetail** meshes, const int nmeshes, rcPolyMeshDetail& mesh);
+
+bool buildMeshAdjacency(unsigned short* polys, const int npolys, const int nverts, const int vertsPerPoly);
+
+#endif // RECAST_H