path: root/extern/recastnavigation/Recast/Include/Recast.h

//
// Copyright (c) 2009-2010 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 value of PI used by Recast.
static const float RC_PI = 3.14159265f;

/// Recast log categories.
/// @see rcContext
enum rcLogCategory
{
	RC_LOG_PROGRESS = 1,	///< A progress log entry.
	RC_LOG_WARNING,	 	    ///< A warning log entry.
	RC_LOG_ERROR,	   	    ///< An error log entry.
};

/// Recast performance timer categories.
/// @see rcContext
enum rcTimerLabel
{
	/// The user defined total time of the build.
	RC_TIMER_TOTAL,
	/// A user defined build time.
	RC_TIMER_TEMP,
	/// The time to rasterize the triangles. (See: #rcRasterizeTriangle)
	RC_TIMER_RASTERIZE_TRIANGLES,
	/// The time to build the compact heightfield. (See: #rcBuildCompactHeightfield)
	RC_TIMER_BUILD_COMPACTHEIGHTFIELD,
	/// The total time to build the contours. (See: #rcBuildContours)
	RC_TIMER_BUILD_CONTOURS,
	/// The time to trace the boundaries of the contours. (See: #rcBuildContours)
	RC_TIMER_BUILD_CONTOURS_TRACE,
	/// The time to simplify the contours. (See: #rcBuildContours)
	RC_TIMER_BUILD_CONTOURS_SIMPLIFY,
	/// The time to filter ledge spans. (See: #rcFilterLedgeSpans)
	RC_TIMER_FILTER_BORDER,
	/// The time to filter low height spans. (See: #rcFilterWalkableLowHeightSpans)
	RC_TIMER_FILTER_WALKABLE,
	/// The time to apply the median filter. (See: #rcMedianFilterWalkableArea)
	RC_TIMER_MEDIAN_AREA,
	/// The time to filter low obstacles. (See: #rcFilterLowHangingWalkableObstacles)
	RC_TIMER_FILTER_LOW_OBSTACLES,
	/// The time to build the polygon mesh. (See: #rcBuildPolyMesh)
	RC_TIMER_BUILD_POLYMESH,
	/// The time to merge polygon meshes. (See: #rcMergePolyMeshes)
	RC_TIMER_MERGE_POLYMESH,
	/// The time to erode the walkable area. (See: #rcErodeWalkableArea)
	RC_TIMER_ERODE_AREA,
	/// The time to mark a box area. (See: #rcMarkBoxArea)
	RC_TIMER_MARK_BOX_AREA,
	/// The time to mark a cylinder area. (See: #rcMarkCylinderArea)
	RC_TIMER_MARK_CYLINDER_AREA,
	/// The time to mark a convex polygon area. (See: #rcMarkConvexPolyArea)
	RC_TIMER_MARK_CONVEXPOLY_AREA,
	/// The total time to build the distance field. (See: #rcBuildDistanceField)
	RC_TIMER_BUILD_DISTANCEFIELD,
	/// The time to build the distances of the distance field. (See: #rcBuildDistanceField)
	RC_TIMER_BUILD_DISTANCEFIELD_DIST,
	/// The time to blur the distance field. (See: #rcBuildDistanceField)
	RC_TIMER_BUILD_DISTANCEFIELD_BLUR,
	/// The total time to build the regions. (See: #rcBuildRegions, #rcBuildRegionsMonotone)
	RC_TIMER_BUILD_REGIONS,
	/// The total time to apply the watershed algorithm. (See: #rcBuildRegions)
	RC_TIMER_BUILD_REGIONS_WATERSHED,
	/// The time to expand regions while applying the watershed algorithm. (See: #rcBuildRegions)
	RC_TIMER_BUILD_REGIONS_EXPAND,
	/// The time to flood regions while applying the watershed algorithm. (See: #rcBuildRegions)
	RC_TIMER_BUILD_REGIONS_FLOOD,
	/// The time to filter out small regions. (See: #rcBuildRegions, #rcBuildRegionsMonotone)
	RC_TIMER_BUILD_REGIONS_FILTER,
	/// The time to build heightfield layers. (See: #rcBuildHeightfieldLayers)
	RC_TIMER_BUILD_LAYERS, 
	/// The time to build the polygon mesh detail. (See: #rcBuildPolyMeshDetail)
	RC_TIMER_BUILD_POLYMESHDETAIL,
	/// The time to merge polygon mesh details. (See: #rcMergePolyMeshDetails)
	RC_TIMER_MERGE_POLYMESHDETAIL,
	/// The maximum number of timers.  (Used for iterating timers.)
	RC_MAX_TIMERS
};

/// Provides an interface for optional logging and performance tracking of the Recast 
/// build process.
/// @ingroup recast
class rcContext
{
public:

	/// Contructor.
	///  @param[in] state  TRUE if the logging and performance timers should be enabled.  [Default: true]
	inline rcContext(bool state = true) : m_logEnabled(state), m_timerEnabled(state) {}
	virtual ~rcContext() {}

	/// Enables or disables logging.
	///  @param[in] state TRUE if logging should be enabled.
	inline void enableLog(bool state) { m_logEnabled = state; }

	/// Clears all log entries.
	inline void resetLog() { if (m_logEnabled) doResetLog(); }

	/// Logs a message.
	///  @param[in] category The category of the message.
	///  @param[in] format The message.
	void log(const rcLogCategory category, const char* format, ...);

	/// Enables or disables the performance timers.
	///  @param[in] state  TRUE if timers should be enabled.
	inline void enableTimer(bool state) { m_timerEnabled = state; }

	/// Clears all peformance timers. (Resets all to unused.)
	inline void resetTimers() { if (m_timerEnabled) doResetTimers(); }

	/// Starts the specified performance timer.
	///  @param label  The category of timer.
	inline void startTimer(const rcTimerLabel label) { if (m_timerEnabled) doStartTimer(label); }

	/// Stops the specified performance timer.
	///  @param label  The category of the timer.
	inline void stopTimer(const rcTimerLabel label) { if (m_timerEnabled) doStopTimer(label); }

	/// Returns the total accumulated time of the specified performance timer.
	///  @param label  The category of the timer.
	///  @return The accumulated time of the timer, or -1 if timers are disabled or the timer has never been started.
	inline int getAccumulatedTime(const rcTimerLabel label) const { return m_timerEnabled ? doGetAccumulatedTime(label) : -1; }

protected:

	/// Clears all log entries.
	virtual void doResetLog() {}

	/// Logs a message.
	///  @param[in] category The category of the message.
	///  @param[in] msg The formatted message.
	///  @param[in] len The length of the formatted message.
	virtual void doLog(const rcLogCategory /*category*/, const char* /*msg*/, const int /*len*/) {}

	/// Clears all timers. (Resets all to unused.)
	virtual void doResetTimers() {}

	/// Starts the specified performance timer.
	///  @param[in] label  The category of timer.
	virtual void doStartTimer(const rcTimerLabel /*label*/) {}

	/// Stops the specified performance timer.
	///  @param[in] label  The category of the timer.
	virtual void doStopTimer(const rcTimerLabel /*label*/) {}

	/// Returns the total accumulated time of the specified performance timer.
	///  @param[in] label  The category of the timer.
	///  @return The accumulated time of the timer, or -1 if timers are disabled or the timer has never been started.
	virtual int doGetAccumulatedTime(const rcTimerLabel /*label*/) const { return -1; }
	
	/// True if logging is enabled.
	bool m_logEnabled;

	/// True if the performance timers are enabled.
	bool m_timerEnabled;
};

/// Specifies a configuration to use when performing Recast builds.
/// @ingroup recast
struct rcConfig
{
	/// The width of the field along the x-axis. [Limit: >= 0] [Units: vx]
	int width;

	/// The height of the field along the z-axis. [Limit: >= 0] [Units: vx]
	int height;	
	
	/// The width/height size of tile's on the xz-plane. [Limit: >= 0] [Units: vx]
	int tileSize;	
	
	/// The size of the non-navigable border around the heightfield. [Limit: >=0] [Units: vx]
	int borderSize;

	/// The xz-plane cell size to use for fields. [Limit: > 0] [Units: wu] 
	float cs;

	/// The y-axis cell size to use for fields. [Limit: > 0] [Units: wu]
	float ch;

	/// The minimum bounds of the field's AABB. [(x, y, z)] [Units: wu]
	float bmin[3]; 

	/// The maximum bounds of the field's AABB. [(x, y, z)] [Units: wu]
	float bmax[3];

	/// The maximum slope that is considered walkable. [Limits: 0 <= value < 90] [Units: Degrees] 
	float walkableSlopeAngle;

	/// Minimum floor to 'ceiling' height that will still allow the floor area to 
	/// be considered walkable. [Limit: >= 3] [Units: vx] 
	int walkableHeight;				
	
	/// Maximum ledge height that is considered to still be traversable. [Limit: >=0] [Units: vx] 
	int walkableClimb;				
	
	/// The distance to erode/shrink the walkable area of the heightfield away from 
	/// obstructions.  [Limit: >=0] [Units: vx] 
	int walkableRadius;				
	
	/// The maximum allowed length for contour edges along the border of the mesh. [Limit: >=0] [Units: vx] 
	int maxEdgeLen;					
	
	/// The maximum distance a simplfied contour's border edges should deviate 
	/// the original raw contour. [Limit: >=0] [Units: wu]
	float maxSimplificationError;	
	
	/// The minimum number of cells allowed to form isolated island areas. [Limit: >=0] [Units: vx] 
	int minRegionArea;				
	
	/// Any regions with a span count smaller than this value will, if possible, 
	/// be merged with larger regions. [Limit: >=0] [Units: vx] 
	int mergeRegionArea;			
	
	/// The maximum number of vertices allowed for polygons generated during the 
	/// contour to polygon conversion process. [Limit: >= 3] 
	int maxVertsPerPoly;
	
	/// Sets the sampling distance to use when generating the detail mesh.
	/// (For height detail only.) [Limits: 0 or >= 0.9] [Units: wu] 
	float detailSampleDist;
	
	/// The maximum distance the detail mesh surface should deviate from heightfield
	/// data. (For height detail only.) [Limit: >=0] [Units: wu] 
	float detailSampleMaxError;
};

/// Defines the number of bits allocated to rcSpan::smin and rcSpan::smax.
static const int RC_SPAN_HEIGHT_BITS = 13;
/// Defines the maximum value for rcSpan::smin and rcSpan::smax.
static const int RC_SPAN_MAX_HEIGHT = (1<<RC_SPAN_HEIGHT_BITS)-1;

/// The number of spans allocated per span spool.
/// @see rcSpanPool
static const int RC_SPANS_PER_POOL = 2048;

/// Represents a span in a heightfield.
/// @see rcHeightfield
struct rcSpan
{
    unsigned int smin : 13;			///< The lower limit of the span. [Limit: < #smax]
    unsigned int smax : 13;			///< The upper limit of the span. [Limit: <= #RC_SPAN_MAX_HEIGHT]
	unsigned int area : 6;			///< The area id assigned to the span.
	rcSpan* next;					///< The next span higher up in column.
};

/// A memory pool used for quick allocation of spans within a heightfield.
/// @see rcHeightfield
struct rcSpanPool
{
	rcSpanPool* next;					///< The next span pool.
	rcSpan items[RC_SPANS_PER_POOL];	///< Array of spans in the pool.
};

/// A dynamic heightfield representing obstructed space.
/// @ingroup recast
struct rcHeightfield
{
	int width;	  	    ///< The width of the heightfield. (Along the x-axis in cell units.)
	int height;			///< The height of the heightfield. (Along the z-axis in cell units.)
	float bmin[3];  	///< The minimum bounds in world space. [(x, y, z)]
	float bmax[3];		///< The maximum bounds in world space. [(x, y, z)]
	float cs;	   	    ///< The size of each cell. (On the xz-plane.)
	float ch;			///< The height of each cell. (The minimum increment along the y-axis.)
	rcSpan** spans;		///< Heightfield of spans (width*height).
	rcSpanPool* pools;	///< Linked list of span pools.
	rcSpan* freelist;	///< The next free span.
};

/// Provides information on the content of a cell column in a compact heightfield. 
struct rcCompactCell
{
	unsigned int index : 24;	///< Index to the first span in the column.
	unsigned int count : 8;		///< Number of spans in the column.
};

/// Represents a span of unobstructed space within a compact heightfield.
struct rcCompactSpan
{
	unsigned short y;			///< The lower extent of the span. (Measured from the heightfield's base.)
	unsigned short reg;	 	    ///< The id of the region the span belongs to. (Or zero if not in a region.)
	unsigned int con : 24;		///< Packed neighbor connection data.
	unsigned int h : 8;			///< The height of the span.  (Measured from #y.)
};

/// A compact, static heightfield representing unobstructed space.
/// @ingroup recast
struct rcCompactHeightfield
{
	int width;			  	    ///< The width of the heightfield. (Along the x-axis in cell units.)
	int height;					///< The height of the heightfield. (Along the z-axis in cell units.)
	int spanCount;				///< The number of spans in the heightfield.
	int walkableHeight;	 	    ///< The walkable height used during the build of the field.  (See: rcConfig::walkableHeight)
	int walkableClimb;			///< The walkable climb used during the build of the field. (See: rcConfig::walkableClimb)
	int borderSize;				///< The AABB border size used during the build of the field. (See: rcConfig::borderSize)
	unsigned short maxDistance;	///< The maximum distance value of any span within the field. 
	unsigned short maxRegions;	///< The maximum region id of any span within the field. 
	float bmin[3];		  	    ///< The minimum bounds in world space. [(x, y, z)]
	float bmax[3];				///< The maximum bounds in world space. [(x, y, z)]
	float cs;			   	    ///< The size of each cell. (On the xz-plane.)
	float ch;					///< The height of each cell. (The minimum increment along the y-axis.)
	rcCompactCell* cells;		///< Array of cells. [Size: #width*#height]
	rcCompactSpan* spans;		///< Array of spans. [Size: #spanCount]
	unsigned short* dist;		///< Array containing border distance data. [Size: #spanCount]
	unsigned char* areas;		///< Array containing area id data. [Size: #spanCount]
};

/// Represents a heightfield layer within a layer set.
/// @see rcHeightfieldLayerSet
struct rcHeightfieldLayer
{
	float bmin[3];		  	    ///< The minimum bounds in world space. [(x, y, z)]
	float bmax[3];				///< The maximum bounds in world space. [(x, y, z)]
	float cs;			   	    ///< The size of each cell. (On the xz-plane.)
	float ch;					///< The height of each cell. (The minimum increment along the y-axis.)
	int width;			  	    ///< The width of the heightfield. (Along the x-axis in cell units.)
	int height;					///< The height of the heightfield. (Along the z-axis in cell units.)
	int minx;			   	    ///< The minimum x-bounds of usable data.
	int maxx;			   	    ///< The maximum x-bounds of usable data.
	int miny;			   	    ///< The minimum y-bounds of usable data. (Along the z-axis.)
	int maxy;					///< The maximum y-bounds of usable data. (Along the z-axis.)
	int hmin;			   	    ///< The minimum height bounds of usable data. (Along the y-axis.)
	int hmax;					///< The maximum height bounds of usable data. (Along the y-axis.)
	unsigned char* heights;		///< The heightfield. [Size: (width - borderSize*2) * (h - borderSize*2)]
	unsigned char* areas;		///< Area ids. [Size: Same as #heights]
	unsigned char* cons;		///< Packed neighbor connection information. [Size: Same as #heights]
};

/// Represents a set of heightfield layers.
/// @ingroup recast
/// @see rcAllocHeightfieldLayerSet, rcFreeHeightfieldLayerSet 
struct rcHeightfieldLayerSet
{
	rcHeightfieldLayer* layers;			///< The layers in the set. [Size: #nlayers]
	int nlayers;						///< The number of layers in the set.
};

/// Represents a simple, non-overlapping contour in field space.
struct rcContour
{
	int* verts;			///< Simplified contour vertex and connection data. [Size: 4 * #nverts]
	int nverts;			///< The number of vertices in the simplified contour. 
	int* rverts;		///< Raw contour vertex and connection data. [Size: 4 * #nrverts]
	int nrverts;		///< The number of vertices in the raw contour. 
	unsigned short reg;	///< The region id of the contour.
	unsigned char area;	///< The area id of the contour.
};

/// Represents a group of related contours.
/// @ingroup recast
struct rcContourSet
{
	rcContour* conts;	///< An array of the contours in the set. [Size: #nconts]
	int nconts;			///< The number of contours in the set.
	float bmin[3];  	///< The minimum bounds in world space. [(x, y, z)]
	float bmax[3];		///< The maximum bounds in world space. [(x, y, z)]
	float cs;	   	    ///< The size of each cell. (On the xz-plane.)
	float ch;			///< The height of each cell. (The minimum increment along the y-axis.)
	int width;	  	    ///< The width of the set. (Along the x-axis in cell units.) 
	int height;	 	    ///< The height of the set. (Along the z-axis in cell units.) 
	int borderSize;		///< The AABB border size used to generate the source data from which the contours were derived.
};

/// Represents a polygon mesh suitable for use in building a navigation mesh. 
/// @ingroup recast
struct rcPolyMesh
{	
	unsigned short* verts;	///< The mesh vertices. [Form: (x, y, z) * #nverts]
	unsigned short* polys;	///< Polygon and neighbor data. [Length: #maxpolys * 2 * #nvp]
	unsigned short* regs;	///< The region id assigned to each polygon. [Length: #maxpolys]
	unsigned short* flags;	///< The user defined flags for each polygon. [Length: #maxpolys]
	unsigned char* areas;	///< The area id assigned to each polygon. [Length: #maxpolys]
	int nverts;				///< The number of vertices.
	int npolys;				///< The number of polygons.
	int maxpolys;			///< The number of allocated polygons.
	int nvp;				///< The maximum number of vertices per polygon.
	float bmin[3];	  	    ///< The minimum bounds in world space. [(x, y, z)]
	float bmax[3];	  	    ///< The maximum bounds in world space. [(x, y, z)]
	float cs;		   	    ///< The size of each cell. (On the xz-plane.)
	float ch;				///< The height of each cell. (The minimum increment along the y-axis.)
	int borderSize;			///< The AABB border size used to generate the source data from which the mesh was derived.
};

/// Contains triangle meshes that represent detailed height data associated 
/// with the polygons in its associated polygon mesh object.
/// @ingroup recast
struct rcPolyMeshDetail
{
    unsigned int* meshes;	///< The sub-mesh data. [Size: 4*#nmeshes] 
    float* verts;			///< The mesh vertices. [Size: 3*#nverts] 
    unsigned char* tris;	///< The mesh triangles. [Size: 4*#ntris] 
    int nmeshes;			///< The number of sub-meshes defined by #meshes.
    int nverts;				///< The number of vertices in #verts.
    int ntris;				///< The number of triangles in #tris.
};

/// @name Allocation Functions
/// Functions used to allocate and de-allocate Recast objects.
/// @see rcAllocSetCustom
/// @{

/// Allocates a heightfield object using the Recast allocator.
///  @return A heightfield that is ready for initialization, or null on failure.
///  @ingroup recast
///  @see rcCreateHeightfield, rcFreeHeightField
rcHeightfield* rcAllocHeightfield();

/// Frees the specified heightfield object using the Recast allocator.
///  @param[in] hf  A heightfield allocated using #rcAllocHeightfield
///  @ingroup recast
///  @see rcAllocHeightfield
void rcFreeHeightField(rcHeightfield* hf);

/// Allocates a compact heightfield object using the Recast allocator.
///  @return A compact heightfield that is ready for initialization, or null on failure.
///  @ingroup recast
///  @see rcBuildCompactHeightfield, rcFreeCompactHeightfield
rcCompactHeightfield* rcAllocCompactHeightfield();

/// Frees the specified compact heightfield object using the Recast allocator.
///  @param[in] chf  A compact heightfield allocated using #rcAllocCompactHeightfield
///  @ingroup recast
///  @see rcAllocCompactHeightfield
void rcFreeCompactHeightfield(rcCompactHeightfield* chf);

/// Allocates a heightfield layer set using the Recast allocator.
///  @return A heightfield layer set that is ready for initialization, or null on failure.
///  @ingroup recast
///  @see rcBuildHeightfieldLayers, rcFreeHeightfieldLayerSet
rcHeightfieldLayerSet* rcAllocHeightfieldLayerSet();

/// Frees the specified heightfield layer set using the Recast allocator.
///  @param[in] lset  A heightfield layer set allocated using #rcAllocHeightfieldLayerSet
///  @ingroup recast
///  @see rcAllocHeightfieldLayerSet
void rcFreeHeightfieldLayerSet(rcHeightfieldLayerSet* lset);

/// Allocates a contour set object using the Recast allocator.
///  @return A contour set that is ready for initialization, or null on failure.
///  @ingroup recast
///  @see rcBuildContours, rcFreeContourSet
rcContourSet* rcAllocContourSet();

/// Frees the specified contour set using the Recast allocator.
///  @param[in] cset  A contour set allocated using #rcAllocContourSet
///  @ingroup recast
///  @see rcAllocContourSet
void rcFreeContourSet(rcContourSet* cset);

/// Allocates a polygon mesh object using the Recast allocator.
///  @return A polygon mesh that is ready for initialization, or null on failure.
///  @ingroup recast
///  @see rcBuildPolyMesh, rcFreePolyMesh
rcPolyMesh* rcAllocPolyMesh();

/// Frees the specified polygon mesh using the Recast allocator.
///  @param[in] pmesh  A polygon mesh allocated using #rcAllocPolyMesh
///  @ingroup recast
///  @see rcAllocPolyMesh
void rcFreePolyMesh(rcPolyMesh* pmesh);

/// Allocates a detail mesh object using the Recast allocator.
///  @return A detail mesh that is ready for initialization, or null on failure.
///  @ingroup recast
///  @see rcBuildPolyMeshDetail, rcFreePolyMeshDetail
rcPolyMeshDetail* rcAllocPolyMeshDetail();

/// Frees the specified detail mesh using the Recast allocator.
///  @param[in] dmesh  A detail mesh allocated using #rcAllocPolyMeshDetail
///  @ingroup recast
///  @see rcAllocPolyMeshDetail
void rcFreePolyMeshDetail(rcPolyMeshDetail* dmesh);

/// @}

/// Heighfield border flag.
/// If a heightfield region ID has this bit set, then the region is a border 
/// region and its spans are considered unwalkable.
/// (Used during the region and contour build process.)
/// @see rcCompactSpan::reg
static const unsigned short RC_BORDER_REG = 0x8000;

/// Border vertex flag.
/// If a region ID has this bit set, then the associated element lies on
/// a tile border. If a contour vertex's region ID has this bit set, the 
/// vertex will later be removed in order to match the segments and vertices 
/// at tile boundaries.
/// (Used during the build process.)
/// @see rcCompactSpan::reg, #rcContour::verts, #rcContour::rverts
static const int RC_BORDER_VERTEX = 0x10000;

/// Area border flag.
/// If a region ID has this bit set, then the associated element lies on
/// the border of an area.
/// (Used during the region and contour build process.)
/// @see rcCompactSpan::reg, #rcContour::verts, #rcContour::rverts
static const int RC_AREA_BORDER = 0x20000;

/// Contour build flags.
/// @see rcBuildContours
enum rcBuildContoursFlags
{
	RC_CONTOUR_TESS_WALL_EDGES = 0x01,	///< Tessellate solid (impassable) edges during contour simplification.
	RC_CONTOUR_TESS_AREA_EDGES = 0x02,	///< Tessellate edges between areas during contour simplification.
};

/// Applied to the region id field of contour vertices in order to extract the region id.
/// The region id field of a vertex may have several flags applied to it.  So the
/// fields value can't be used directly.
/// @see rcContour::verts, rcContour::rverts
static const int RC_CONTOUR_REG_MASK = 0xffff;

/// An value which indicates an invalid index within a mesh.
/// @note This does not necessarily indicate an error.
/// @see rcPolyMesh::polys
static const unsigned short RC_MESH_NULL_IDX = 0xffff;

/// Represents the null area.
/// When a data element is given this value it is considered to no longer be 
/// assigned to a usable area.  (E.g. It is unwalkable.)
static const unsigned char RC_NULL_AREA = 0;

/// The default area id used to indicate a walkable polygon. 
/// This is also the maximum allowed area id, and the only non-null area id 
/// recognized by some steps in the build process. 
static const unsigned char RC_WALKABLE_AREA = 63;

/// The value returned by #rcGetCon if the specified direction is not connected
/// to another span. (Has no neighbor.)
static const int RC_NOT_CONNECTED = 0x3f;

/// @name General helper functions
/// @{

/// Swaps the values of the two parameters.
///  @param[in,out] a  Value A
///  @param[in,out] b  Value B
template<class T> inline void rcSwap(T& a, T& b) { T t = a; a = b; b = t; }

/// Returns the minimum of two values.
///  @param[in] a  Value A
///  @param[in] b  Value B
///  @return The minimum of the two values.
template<class T> inline T rcMin(T a, T b) { return a < b ? a : b; }

/// Returns the maximum of two values.
///  @param[in] a  Value A
///  @param[in] b  Value B
///  @return The maximum of the two values.
template<class T> inline T rcMax(T a, T b) { return a > b ? a : b; }

/// Returns the absolute value.
///  @param[in] a  The value.
///  @return The absolute value of the specified value.
template<class T> inline T rcAbs(T a) { return a < 0 ? -a : a; }

/// Return the square of a value.
///  @param[in] a  The value.
///  @return The square of the value.
template<class T> inline T rcSqr(T a) { return a*a; }

/// Clamps the value to the specified range.
///  @param[in] v   The value to clamp.
///  @param[in] mn  The minimum permitted return value.
///  @param[in] mx  The maximum permitted return value.
///  @return The value, clamped to the specified range.
template<class T> inline T rcClamp(T v, T mn, T mx) { return v < mn ? mn : (v > mx ? mx : v); }

/// Returns the square root of the value.
///  @param[in] x  The value.
///  @return The square root of the vlaue.
float rcSqrt(float x);

/// Not documented.  Internal use only.
///  @param[in] x  Not documented.
///  @return Not documented.
inline int rcAlign4(int x) { return (x+3) & ~3; }

/// @}
/// @name Vector helper functions.
/// @{

/// Derives the cross product of two vectors. (v1 x v2)
///   @param[out] dest  The cross product. [(x, y, z)]
///   @param[in]  v1    A Vector [(x, y, z)]
///   @param[in]  v2    A vector [(x, y, z)]
inline void rcVcross(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];
}

/// Derives the dot product of two vectors. (v1 . v2)
///   @param[in]  v1    A Vector [(x, y, z)]
///   @param[in]  v2    A vector [(x, y, z)]
///   @return The dot product.
inline float rcVdot(const float* v1, const float* v2)
{
	return v1[0]*v2[0] + v1[1]*v2[1] + v1[2]*v2[2];
}

/// Performs a scaled vector addition. (v1 + (v2 * s))
///   @param[out] dest  The result vector. [(x, y, z)]
///   @param[in]  v1    The base vector [(x, y, z)]
///   @param[in]  v2    The vector to scale and add to @p v1. [(x, y, z)]
///   @param[in]  s     The amount to scale @p v2 by before adding to @p v1.
inline void rcVmad(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;
}

/// Performs a vector addition. (@p v1 + @p v2)
///   @param[out] dest  The result vector. [(x, y, z)]
///   @param[in]  v1    The base vector [(x, y, z)]
///   @param[in]  v2    The vector to add to @p v1. [(x, y, z)]
inline void rcVadd(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];
}

/// Performs a vector subtraction. (@p v1 - @p v2)
///   @param[out] dest  The result vector. [(x, y, z)]
///   @param[in]  v1    The base vector [(x, y, z)]
///   @param[in]  v2    The vector to subtract from @p v1. [(x, y, z)]
inline void rcVsub(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];
}

/// Selects the minimum value of each element from the specified vectors.
///  @param[in, out] mn  A vector.  (Will be updated with the result.) [(x, y, z)]
///  @param[in]      v   A vector. [(x, y, z)]
inline void rcVmin(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]);
}

/// Selects the maximum value of each element from the specified vectors.
///  @param[in, out] mx  A vector.  (Will be updated with the result.) [(x, y, z)]
///  @param[in]      v   A vector. [(x, y, z)]
inline void rcVmax(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]);
}

/// Performs a vector copy.
///  @param[out] dest  The result. [(x, y, z)]
///  @param[in]  v     The vector to copy [(x, y, z)]
inline void rcVcopy(float* dest, const float* v)
{
	dest[0] = v[0];
	dest[1] = v[1];
	dest[2] = v[2];
}

/// Returns the distance between two points.
///   @param[in] v1  A point. [(x, y, z)]
///   @param[in] v2  A point. [(x, y, z)]
///   @return The distance between the two points.
inline float rcVdist(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 rcSqrt(dx*dx + dy*dy + dz*dz);
}

/// Returns the square of the distance between two points.
///   @param[in] v1  A point. [(x, y, z)]
///   @param[in] v2  A point. [(x, y, z)]
///   @return The square of the distance between the two points.
inline float rcVdistSqr(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;
}

/// Normalizes the vector.
///  @param[in,out] v  The vector to normalize. [(x, y, z)]
inline void rcVnormalize(float* v)
{
	float d = 1.0f / rcSqrt(rcSqr(v[0]) + rcSqr(v[1]) + rcSqr(v[2]));
	v[0] *= d;
	v[1] *= d;
	v[2] *= d;
}

/// Not documented.  Internal use only.
///  @param[in] p0  Not documented.
///  @param[in] p1  Not documented.
///  @return Not documented.
inline bool rcVequal(const float* p0, const float* p1)
{
	static const float thr = rcSqr(1.0f/16384.0f);
	const float d = rcVdistSqr(p0, p1);
	return d < thr;
}

/// @}
/// @name Heightfield Functions
/// @see rcHeightfield
/// @{

/// Calculates the bounding box of an array of vertices.
///  @ingroup recast
///  @param[in]  verts  An array of vertices. [(x, y, z) * @p nv]
///  @param[in]  nv     The number of vertices in the @p verts array.
///  @param[out] bmin   The minimum bounds of the AABB. [(x, y, z)] [Units: wu]
///  @param[out] bmax   The maximum bounds of the AABB. [(x, y, z)] [Units: wu]
void rcCalcBounds(const float* verts, int nv, float* bmin, float* bmax);

/// Calculates the grid size based on the bounding box and grid cell size.
///  @ingroup recast
///  @param[in]  bmin  The minimum bounds of the AABB. [(x, y, z)] [Units: wu]
///  @param[in]  bmax  The maximum bounds of the AABB. [(x, y, z)] [Units: wu]
///  @param[in]  cs    The xz-plane cell size. [Limit: > 0] [Units: wu]
///  @param[out] w     The width along the x-axis. [Limit: >= 0] [Units: vx]
///  @param[out] h     The height along the z-axis. [Limit: >= 0] [Units: vx]
void rcCalcGridSize(const float* bmin, const float* bmax, float cs, int* w, int* h);

/// Initializes a new heightfield.
///  @ingroup recast
///  @param[in,out] ctx     The build context to use during the operation.
///  @param[in,out] hf      The allocated heightfield to initialize.
///  @param[in]     width   The width of the field along the x-axis. [Limit: >= 0] [Units: vx]
///  @param[in]     height  The height of the field along the z-axis. [Limit: >= 0] [Units: vx]
///  @param[in]     bmin    The minimum bounds of the field's AABB. [(x, y, z)] [Units: wu]
///  @param[in]     bmax    The maximum bounds of the field's AABB. [(x, y, z)] [Units: wu]
///  @param[in]     cs      The xz-plane cell size to use for the field. [Limit: > 0] [Units: wu]
///  @param[in]     ch      The y-axis cell size to use for field. [Limit: > 0] [Units: wu]
bool rcCreateHeightfield(rcContext* ctx, rcHeightfield& hf, int width, int height,
						 const float* bmin, const float* bmax,
						 float cs, float ch);

/// Sets the area id of all triangles with a slope below the specified value
/// to #RC_WALKABLE_AREA.
///  @ingroup recast
///  @param[in,out] ctx                 The build context to use during the operation.
///  @param[in]     walkableSlopeAngle  The maximum slope that is considered walkable. [Limits: 0 <= value < 90] 
///                                     [Units: Degrees]
///  @param[in]     verts               The vertices. [(x, y, z) * @p nv]
///  @param[in]     nv                  The number of vertices.
///  @param[in]     tris                The triangle vertex indices. [(vertA, vertB, vertC) * @p nt]
///  @param[in]     nt                  The number of triangles.
///  @param[out]    areas               The triangle area ids. [Length: >= @p nt]
void rcMarkWalkableTriangles(rcContext* ctx, const float walkableSlopeAngle, const float* verts, int nv,
							 const int* tris, int nt, unsigned char* areas); 

/// Sets the area id of all triangles with a slope greater than or equal to the specified value to #RC_NULL_AREA.
///  @ingroup recast
///  @param[in,out] ctx                 The build context to use during the operation.
///  @param[in]     walkableSlopeAngle  The maximum slope that is considered walkable. [Limits: 0 <= value < 90] 
///                                     [Units: Degrees]
///  @param[in]     verts               The vertices. [(x, y, z) * @p nv]
///  @param[in]     nv                  The number of vertices.
///  @param[in]     tris                The triangle vertex indices. [(vertA, vertB, vertC) * @p nt]
///  @param[in]     nt                  The number of triangles.
///  @param[out]    areas               The triangle area ids. [Length: >= @p nt]
void rcClearUnwalkableTriangles(rcContext* ctx, const float walkableSlopeAngle, const float* verts, int nv,
								const int* tris, int nt, unsigned char* areas); 

/// Adds a span to the specified heightfield.
///  @ingroup recast
///  @param[in,out] ctx           The build context to use during the operation.
///  @param[in,out] hf            An initialized heightfield.      
///  @param[in]     x             The width index where the span is to be added. 
///                               [Limits: 0 <= value < rcHeightfield::width]
///  @param[in]     y             The height index where the span is to be added. 
///                               [Limits: 0 <= value < rcHeightfield::height]
///  @param[in]     smin          The minimum height of the span. [Limit: < @p smax] [Units: vx]
///  @param[in]     smax          The maximum height of the span. [Limit: <= #RC_SPAN_MAX_HEIGHT] [Units: vx]
///  @param[in]     area          The area id of the span. [Limit: <= #RC_WALKABLE_AREA)
///  @param[in]     flagMergeThr  The merge theshold. [Limit: >= 0] [Units: vx]
void rcAddSpan(rcContext* ctx, rcHeightfield& hf, const int x, const int y,
			   const unsigned short smin, const unsigned short smax,
			   const unsigned char area, const int flagMergeThr);

/// Rasterizes a triangle into the specified heightfield.
///  @ingroup recast
///  @param[in,out]  ctx           The build context to use during the operation.
///  @param[in]      v0            Triangle vertex 0 [(x, y, z)]
///  @param[in]      v1            Triangle vertex 1 [(x, y, z)]
///  @param[in]      v2            Triangle vertex 2 [(x, y, z)]
///  @param[in]      area          The area id of the triangle. [Limit: <= #RC_WALKABLE_AREA]
///  @param[in, out] solid         An initialized heightfield.
///  @param[in]      flagMergeThr  The distance where the walkable flag is favored over the non-walkable flag. 
///                                [Limit: >= 0] [Units: vx]
void rcRasterizeTriangle(rcContext* ctx, const float* v0, const float* v1, const float* v2,
						 const unsigned char area, rcHeightfield& solid,
						 const int flagMergeThr = 1);

/// Rasterizes an indexed triangle mesh into the specified heightfield.
///  @ingroup recast
///  @param[in,out]  ctx           The build context to use during the operation.
///  @param[in]      verts         The vertices. [(x, y, z) * @p nv]
///  @param[in]      nv            The number of vertices.
///  @param[in]      tris          The triangle indices. [(vertA, vertB, vertC) * @p nt]
///  @param[in]      areas         The area id's of the triangles. [Limit: <= #RC_WALKABLE_AREA] [Size: @p nt]
///  @param[in]      nt            The number of triangles.
///  @param[in, out] solid         An initialized heightfield.
///  @param[in]      flagMergeThr  The distance where the walkable flag is favored over the non-walkable flag. 
///                                [Limit: >= 0] [Units: vx]
void rcRasterizeTriangles(rcContext* ctx, const float* verts, const int nv,
						  const int* tris, const unsigned char* areas, const int nt,
						  rcHeightfield& solid, const int flagMergeThr = 1);

/// Rasterizes an indexed triangle mesh into the specified heightfield.
///  @ingroup recast
///  @param[in,out]  ctx           The build context to use during the operation.
///  @param[in]      verts         The vertices. [(x, y, z) * @p nv]
///  @param[in]      nv            The number of vertices.
///  @param[in]      tris          The triangle indices. [(vertA, vertB, vertC) * @p nt]
///  @param[in]      areas         The area id's of the triangles. [Limit: <= #RC_WALKABLE_AREA] [Size: @p nt]
///  @param[in]      nt            The number of triangles.
///  @param[in, out] solid         An initialized heightfield.
///  @param[in]      flagMergeThr  The distance where the walkable flag is favored over the non-walkable flag. 
///                                [Limit: >= 0] [Units: vx]
void rcRasterizeTriangles(rcContext* ctx, const float* verts, const int nv,
						  const unsigned short* tris, const unsigned char* areas, const int nt,
						  rcHeightfield& solid, const int flagMergeThr = 1);

/// Rasterizes triangles into the specified heightfield.
///  @ingroup recast
///  @param[in,out]  ctx           The build context to use during the operation.
///  @param[in]      verts         The triangle vertices. [(ax, ay, az, bx, by, bz, cx, by, cx) * @p nt]
///  @param[in]      areas         The area id's of the triangles. [Limit: <= #RC_WALKABLE_AREA] [Size: @p nt]
///  @param[in]      nt            The number of triangles.
///  @param[in, out] solid         An initialized heightfield.
///  @param[in]      flagMergeThr  The distance where the walkable flag is favored over the non-walkable flag. 
///                                [Limit: >= 0] [Units: vx]
void rcRasterizeTriangles(rcContext* ctx, const float* verts, const unsigned char* areas, const int nt,
						  rcHeightfield& solid, const int flagMergeThr = 1);

/// Marks non-walkable spans as walkable if their maximum is within @p walkableClimp of a walkable neihbor. 
///  @ingroup recast
///  @param[in,out] ctx            The build context to use during the operation.
///  @param[in]     walkableClimb  Maximum ledge height that is considered to still be traversable. 
///                                [Limit: >=0] [Units: vx]
///  @param[in,out] solid          A fully built heightfield.  (All spans have been added.)
void rcFilterLowHangingWalkableObstacles(rcContext* ctx, const int walkableClimb, rcHeightfield& solid);

/// Marks spans that are ledges as not-walkable. 
///  @ingroup recast
///  @param[in,out] ctx             The build context to use during the operation.
///  @param[in]     walkableHeight  Minimum floor to 'ceiling' height that will still allow the floor area to 
///                                 be considered walkable. [Limit: >= 3] [Units: vx]
///  @param[in]     walkableClimb   Maximum ledge height that is considered to still be traversable. 
///                                 [Limit: >=0] [Units: vx]
///  @param[in,out] solid          A fully built heightfield.  (All spans have been added.)
void rcFilterLedgeSpans(rcContext* ctx, const int walkableHeight,
						const int walkableClimb, rcHeightfield& solid);

/// Marks walkable spans as not walkable if the clearence above the span is less than the specified height. 
///  @ingroup recast
///  @param[in,out] ctx             The build context to use during the operation.
///  @param[in]     walkableHeight  Minimum floor to 'ceiling' height that will still allow the floor area to 
///                                 be considered walkable. [Limit: >= 3] [Units: vx]
///  @param[in,out] solid           A fully built heightfield.  (All spans have been added.)
void rcFilterWalkableLowHeightSpans(rcContext* ctx, int walkableHeight, rcHeightfield& solid);

/// Returns the number of spans contained in the specified heightfield.
///  @ingroup recast
///  @param[in,out] ctx  The build context to use during the operation.
///  @param[in]     hf   An initialized heightfield.
///  @returns The number of spans in the heightfield.
int rcGetHeightFieldSpanCount(rcContext* ctx, rcHeightfield& hf);

/// @}
/// @name Compact Heightfield Functions
/// @see rcCompactHeightfield
/// @{

/// Builds a compact heightfield representing open space, from a heightfield representing solid space.
///  @ingroup recast
///  @param[in,out] ctx             The build context to use during the operation.
///  @param[in]     walkableHeight  Minimum floor to 'ceiling' height that will still allow the floor area 
///                                 to be considered walkable. [Limit: >= 3] [Units: vx]
///  @param[in]     walkableClimb   Maximum ledge height that is considered to still be traversable. 
///                                 [Limit: >=0] [Units: vx]
///  @param[in]     hf              The heightfield to be compacted.
///  @param[out]    chf             The resulting compact heightfield. (Must be pre-allocated.)
///  @returns True if the operation completed successfully.
bool rcBuildCompactHeightfield(rcContext* ctx, const int walkableHeight, const int walkableClimb,
							   rcHeightfield& hf, rcCompactHeightfield& chf);

/// Erodes the walkable area within the heightfield by the specified radius. 
///  @ingroup recast
///  @param[in,out] ctx     The build context to use during the operation.
///  @param[in]     radius  The radius of erosion. [Limits: 0 < value < 255] [Units: vx]
///  @param[in,out] chf     The populated compact heightfield to erode.
///  @returns True if the operation completed successfully.
bool rcErodeWalkableArea(rcContext* ctx, int radius, rcCompactHeightfield& chf);

/// Applies a median filter to walkable area types (based on area id), removing noise.
///  @ingroup recast
///  @param[in,out] ctx  The build context to use during the operation.
///  @param[in,out] chf  A populated compact heightfield.
///  @returns True if the operation completed successfully.
bool rcMedianFilterWalkableArea(rcContext* ctx, rcCompactHeightfield& chf);

/// Applies an area id to all spans within the specified bounding box. (AABB) 
///  @ingroup recast
///  @param[in,out] ctx     The build context to use during the operation.
///  @param[in]     bmin    The minimum of the bounding box. [(x, y, z)]
///  @param[in]     bmax    The maximum of the bounding box. [(x, y, z)]
///  @param[in]     areaId  The area id to apply. [Limit: <= #RC_WALKABLE_AREA]
///  @param[in,out] chf     A populated compact heightfield.
void rcMarkBoxArea(rcContext* ctx, const float* bmin, const float* bmax, unsigned char areaId,
				   rcCompactHeightfield& chf);

/// Applies the area id to the all spans within the specified convex polygon. 
///  @ingroup recast
///  @param[in,out] ctx     The build context to use during the operation.
///  @param[in]     verts   The vertices of the polygon [Fomr: (x, y, z) * @p nverts]
///  @param[in]     nverts  The number of vertices in the polygon.
///  @param[in]     hmin    The height of the base of the polygon.
///  @param[in]     hmax    The height of the top of the polygon.
///  @param[in]     areaId  The area id to apply. [Limit: <= #RC_WALKABLE_AREA]
///  @param[in,out] chf     A populated compact heightfield.
void rcMarkConvexPolyArea(rcContext* ctx, const float* verts, const int nverts,
						  const float hmin, const float hmax, unsigned char areaId,
						  rcCompactHeightfield& chf);

/// Applies the area id to all spans within the specified cylinder.
///  @ingroup recast
///  @param[in,out] ctx     The build context to use during the operation.
///  @param[in]     pos     The center of the base of the cylinder. [Form: (x, y, z)] 
///  @param[in]     r       The radius of the cylinder.
///  @param[in]     h       The height of the cylinder.
///  @param[in]     areaId  The area id to apply. [Limit: <= #RC_WALKABLE_AREA]
///  @param[in,out] chf     A populated compact heightfield.
void rcMarkCylinderArea(rcContext* ctx, const float* pos,
						const float r, const float h, unsigned char areaId,
						rcCompactHeightfield& chf);

/// Builds the distance field for the specified compact heightfield. 
///  @ingroup recast
///  @param[in,out] ctx  The build context to use during the operation.
///  @param[in,out] chf  A populated compact heightfield.
///  @returns True if the operation completed successfully.
bool rcBuildDistanceField(rcContext* ctx, rcCompactHeightfield& chf);

/// Builds region data for the heightfield using watershed partitioning. 
///  @ingroup recast
///  @param[in,out] ctx          The build context to use during the operation.
///  @param[in,out] chf          A populated compact heightfield.
///  @param[in] borderSize       The size of the non-navigable border around the heightfield. [Limit: >=0] [Units: vx]
///  @param[in] minRegionArea    The minimum number of cells allowed to form isolated island areas. [Limit: >=0] 
///                              [Units: vx].
///  @param[in] mergeRegionArea  Any regions with a span count smaller than this value will, if possible, 
///                              be merged with larger regions. [Limit: >=0] [Units: vx] 
///  @returns True if the operation completed successfully.
bool rcBuildRegions(rcContext* ctx, rcCompactHeightfield& chf,
					const int borderSize, const int minRegionArea, const int mergeRegionArea);

/// Builds region data for the heightfield using simple monotone partitioning.
///  @ingroup recast 
///  @param[in,out] ctx          The build context to use during the operation.
///  @param[in,out] chf          A populated compact heightfield.
///  @param[in] borderSize       The size of the non-navigable border around the heightfield. [Limit: >=0] [Units: vx]
///  @param[in] minRegionArea    The minimum number of cells allowed to form isolated island areas. [Limit: >=0] 
///                              [Units: vx].
///  @param[in] mergeRegionArea  Any regions with a span count smaller than this value will, if possible, 
///                              be merged with larger regions. [Limit: >=0] [Units: vx] 
///  @returns True if the operation completed successfully.
bool rcBuildRegionsMonotone(rcContext* ctx, rcCompactHeightfield& chf,
							const int borderSize, const int minRegionArea, const int mergeRegionArea);


/// Sets the neighbor connection data for the specified direction.
///  @param[in] s    The span to update.
///  @param[in] dir  The direction to set. [Limits: 0 <= value < 4]
///  @param[in] i    The index of the neighbor span.
inline void rcSetCon(rcCompactSpan& s, int dir, int i)
{
	const unsigned int shift = (unsigned int)dir*6;
	unsigned int con = s.con;
	s.con = (con & ~(0x3f << shift)) | (((unsigned int)i & 0x3f) << shift);
}

/// Gets neighbor connection data for the specified direction.
///  @param[in] s    The span to check.
///  @param[in] dir  The direction to check. [Limits: 0 <= value < 4]
///  @return The neighbor connection data for the specified direction,
///          or #RC_NOT_CONNECTED if there is no connection.
inline int rcGetCon(const rcCompactSpan& s, int dir)
{
	const unsigned int shift = (unsigned int)dir*6;
	return (s.con >> shift) & 0x3f;
}

/// Gets the standard width (x-axis) offset for the specified direction.
///  @param[in] dir  The direction. [Limits: 0 <= value < 4]
///  @return The width offset to apply to the current cell position to move
///          in the direction.
inline int rcGetDirOffsetX(int dir)
{
	const int offset[4] = { -1, 0, 1, 0, };
	return offset[dir&0x03];
}

/// Gets the standard height (z-axis) offset for the specified direction.
///  @param[in] dir  The direction. [Limits: 0 <= value < 4]
///  @return The height offset to apply to the current cell position to move
///          in the direction.
inline int rcGetDirOffsetY(int dir)
{
	const int offset[4] = { 0, 1, 0, -1 };
	return offset[dir&0x03];
}

/// @}
/// @name Layer, Contour, Polymesh, and Detail Mesh Functions
/// @see rcHeightfieldLayer, rcContourSet, rcPolyMesh, rcPolyMeshDetail
/// @{

/// Builds a layer set from the specified compact heightfield.
///  @ingroup recast
///  @param[in,out] ctx             The build context to use during the operation.
///  @param[in]     chf             A fully built compact heightfield.
///  @param[in]     borderSize      The size of the non-navigable border around the heightfield. [Limit: >=0] 
///                                 [Units: vx]
///  @param[in]     walkableHeight  Minimum floor to 'ceiling' height that will still allow the floor area 
///                                 to be considered walkable. [Limit: >= 3] [Units: vx]
///  @param[out]    lset            The resulting layer set. (Must be pre-allocated.)
///  @returns True if the operation completed successfully.
bool rcBuildHeightfieldLayers(rcContext* ctx, rcCompactHeightfield& chf, 
							  const int borderSize, const int walkableHeight,
							  rcHeightfieldLayerSet& lset);

/// Builds a contour set from the region outlines in the provided compact heightfield.
///  @ingroup recast
///  @param[in,out] ctx      The build context to use during the operation.
///  @param[in] chf          A fully built compact heightfield.
///  @param[in] maxError     The maximum distance a simplfied contour's border edges should deviate 
///                          the original raw contour. [Limit: >=0] [Units: wu]
///  @param[in] maxEdgeLen   The maximum allowed length for contour edges along the border of the mesh. 
///                          [Limit: >=0] [Units: vx]
///  @param[out] cset        The resulting contour set. (Must be pre-allocated.)
///  @param[in]  buildFlags  The build flags. (See: #rcBuildContoursFlags)
///  @returns True if the operation completed successfully.
bool rcBuildContours(rcContext* ctx, rcCompactHeightfield& chf,
					 const float maxError, const int maxEdgeLen,
					 rcContourSet& cset, const int flags = RC_CONTOUR_TESS_WALL_EDGES);

/// Builds a polygon mesh from the provided contours.
///  @ingroup recast
///  @param[in,out] ctx     The build context to use during the operation.
///  @param[in]     cset    A fully built contour set.
///  @param[in]     nvp     The maximum number of vertices allowed for polygons generated during the 
///                         contour to polygon conversion process. [Limit: >= 3] 
///  @param[out]    mesh    The resulting polygon mesh. (Must be re-allocated.)
///  @returns True if the operation completed successfully.
bool rcBuildPolyMesh(rcContext* ctx, rcContourSet& cset, const int nvp, rcPolyMesh& mesh);

/// Merges multiple polygon meshes into a single mesh.
///  @ingroup recast
///  @param[in,out] ctx      The build context to use during the operation.
///  @param[in]     meshes   An array of polygon meshes to merge. [Size: @p nmeshes]
///  @param[in]     nmeshes  The number of polygon meshes in the meshes array.
///  @param[in]     mesh     The resulting polygon mesh. (Must be pre-allocated.)
///  @returns True if the operation completed successfully.
bool rcMergePolyMeshes(rcContext* ctx, rcPolyMesh** meshes, const int nmeshes, rcPolyMesh& mesh);

/// Builds a detail mesh from the provided polygon mesh.
///  @ingroup recast
///  @param[in,out] ctx             The build context to use during the operation.
///  @param[in]     mesh            A fully built polygon mesh.
///  @param[in]     chf             The compact heightfield used to build the polygon mesh.
///  @param[in]     sampleDist      Sets the distance to use when samping the heightfield. [Limit: >=0] [Units: wu]
///  @param[in]     sampleMaxError  The maximum distance the detail mesh surface should deviate from 
///                                 heightfield data. [Limit: >=0] [Units: wu]
///  @param[out]    dmesh           The resulting detail mesh.  (Must be pre-allocated.)
///  @returns True if the operation completed successfully.
bool rcBuildPolyMeshDetail(rcContext* ctx, const rcPolyMesh& mesh, const rcCompactHeightfield& chf,
						   const float sampleDist, const float sampleMaxError,
						   rcPolyMeshDetail& dmesh);

/// Merges multiple detail meshes into a single detail mesh.
///  @ingroup recast
///  @param[in,out] ctx      The build context to use during the operation.
///  @param[in]     meshes   An array of detail meshes to merge. [Size: @p nmeshes]
///  @param[in]     nmeshes  The number of detail meshes in the meshes array.
///  @param[out]    mesh     The resulting detail mesh. (Must be pre-allocated.)
///  @returns True if the operation completed successfully.
bool rcMergePolyMeshDetails(rcContext* ctx, rcPolyMeshDetail** meshes, const int nmeshes, rcPolyMeshDetail& mesh);

bool buildMeshAdjacency(unsigned short* polys, const int npolys, const int nverts, const int vertsPerPoly);

/// @}

#endif // RECAST_H

///////////////////////////////////////////////////////////////////////////

// Due to the large amount of detail documentation for this file, 
// the content normally located at the end of the header file has been separated
// out to a file in /Docs/Extern.