# csPlane3 Class Reference [Geometry utilities]

A plane in 3D space. More...

`#include <csgeom/plane3.h>`

List of all members.

## Public Member Functions

float A () const
Return the A component of this plane.
float & A ()
Return the A component of this plane.
float B () const
Return the B component of this plane.
float & B ()
Return the B component of this plane.
float C () const
Return the C component of this plane.
float & C ()
Return the C component of this plane.
float Classify (const csVector3 &pt) const
Classify the given vector with regards to this plane.
bool ClipPolygon (csVector3 *&pverts, int &num_verts, bool reversed=false)
Clip the polygon in pverts (having num_verts vertices) to this plane.
uint8 ClipPolygon (const csVector3 *InVerts, size_t InCount, csVector3 *OutPolygon, size_t &OutCount, csVertexStatus *OutStatus, bool reversed=false) const
Clip the polygon in `InVerts` (having `InCount` vertices) to this plane.
csPlane3 (const csVector3 &plane_norm, float d=0)
Initialize the plane with the given norm and D component.
csPlane3 (const csVector3 &v1, const csVector3 &v2, const csVector3 &v3)
Initialize the plane through the three given points.
csPlane3 (const csVector3 &v2, const csVector3 &v3)
Initialize the plane through 0 and the two given points.
csPlane3 ()
Initialize to the xy plane (0,0,1,0).
csPlane3 (float a, float b, float c, float d=0)
Initialize the plane to the given components.
float & D ()
Return the D component of this plane.
float D () const
Return the D component of this plane.
csString Description () const
Return a textual representation of the plane in the form "aa,bb,cc,dd".
float Distance (const csVector3 &pt) const
Compute the distance from the given vector to this plane.
csVector3 FindPoint () const
Find a point on this plane.
const csVector3GetNormal () const
Return the normal of this plane.
void Invert ()
Reverses the direction of the plane while maintaining the plane itself.
const csVector3Normal () const
Return the normal vector of this plane.
csVector3Normal ()
Return the normal vector of this plane.
void Normalize ()
Normalizes the plane equation so that 'norm' is a unit vector.
bool operator== (const csPlane3 &other) const
Compare two planes.
csVector3 ProjectOnto (const csVector3 &p)
Project a point onto this plane.
void Set (const csVector3 &normal, float d)
Set the value of the plane using a normal and D component.
void Set (const csVector3 &v1, const csVector3 &v2, const csVector3 &v3)
Initialize the plane through the three given points.
void Set (float a, float b, float c, float d)
Set the value of the four plane components.
void Set (const csVector3 &v2, const csVector3 &v3)
Initialize the plane through 0 and the two given points.
void SetOrigin (const csVector3 &p)
Set one point ("origin") through which the plane goes.

## Static Public Member Functions

static float Classify (float A, float B, float C, float D, const csVector3 &pt)
This static function classifies a vector with regards to four given plane components.
static void FindOrthogonalPoints (const csVector3 &norm, csVector3 &p, csVector3 &q)
Calculate two orthogonal points on the plane given by the normal 'norm' and going through the origin.

## Public Attributes

float DD
The D component of the plane.
csVector3 norm
The normal vector (or the (A,B,C) components).

## Detailed Description

A plane in 3D space.

The plane is given by the equation AAx + BBy + CCz + DD = 0, Where (AA,BB,CC) is given by the vector 'norm'.

Definition at line 42 of file plane3.h.

## Constructor & Destructor Documentation

 csPlane3::csPlane3 ( ) ` [inline]`

Initialize to the xy plane (0,0,1,0).

Definition at line 54 of file plane3.h.

 csPlane3::csPlane3 ( const csVector3 & plane_norm, float d = `0` ) ` [inline]`

Initialize the plane with the given norm and D component.

Definition at line 59 of file plane3.h.

 csPlane3::csPlane3 ( float a, float b, float c, float d = `0` ) ` [inline]`

Initialize the plane to the given components.

Definition at line 64 of file plane3.h.

 csPlane3::csPlane3 ( const csVector3 & v1, const csVector3 & v2, const csVector3 & v3 )

Initialize the plane through the three given points.

If the plane is expressed as (N,D) with N the A,B,C components of the plane then this will initialize the plane to (N',-N'*v1) with N' equal to (v1-v2)%(v1-v3).

 csPlane3::csPlane3 ( const csVector3 & v2, const csVector3 & v3 ) ` [inline]`

Initialize the plane through 0 and the two given points.

If the plane is expressed as (N,D) with N the A,B,C components of the plane then this will initialize the plane to (v2v3,0).

Definition at line 79 of file plane3.h.

## Member Function Documentation

 float csPlane3::A ( ) const` [inline]`

Return the A component of this plane.

Definition at line 98 of file plane3.h.

 float& csPlane3::A ( ) ` [inline]`

Return the A component of this plane.

Definition at line 107 of file plane3.h.

 float csPlane3::B ( ) const` [inline]`

Return the B component of this plane.

Definition at line 100 of file plane3.h.

 float& csPlane3::B ( ) ` [inline]`

Return the B component of this plane.

Definition at line 109 of file plane3.h.

 float& csPlane3::C ( ) ` [inline]`

Return the C component of this plane.

Definition at line 111 of file plane3.h.

 float csPlane3::C ( ) const` [inline]`

Return the C component of this plane.

Definition at line 102 of file plane3.h.

 float csPlane3::Classify ( const csVector3 & pt ) const` [inline]`

Classify the given vector with regards to this plane.

If the plane is expressed as (N,D) with N the A,B,C components of the plane then this will calculate and return N*pt+D. Note that in the Crystal Space engine this function will return negative if used on the visible side of a polygon. i.e. if you take the world space plane of the polygon, then Classify() will return a negative value if the camera is located at a point from which you can see the polygon. Back-face culling will make the polygon invisible on the other side.

Definition at line 163 of file plane3.h.

 static float csPlane3::Classify ( float A, float B, float C, float D, const csVector3 & pt ) ` [inline, static]`

This static function classifies a vector with regards to four given plane components.

This will calculate and return A*pt.x+B*pt.y+C*pt.z+D.

Definition at line 169 of file plane3.h.

 bool csPlane3::ClipPolygon ( csVector3 *& pverts, int & num_verts, bool reversed = `false` )

Clip the polygon in pverts (having num_verts vertices) to this plane.

Method returns true if there is something visible, false otherwise. Note that this function returns a pointer to a static array in csPlane3. The contents of this array will only be valid until the next call to ClipPolygon. Normally this function will consider the polygon visible if it is on the negative side of the plane (Classify()). If 'reversed' is set to true then the positive side will be used instead.

 uint8 csPlane3::ClipPolygon ( const csVector3 * InVerts, size_t InCount, csVector3 * OutPolygon, size_t & OutCount, csVertexStatus * OutStatus, bool reversed = `false` ) const

Clip the polygon in `InVerts` (having `InCount` vertices) to this plane.

Method returns one of CS_CLIP_OUTSIDE, CS_CLIP_INSIDE, CS_CLIP_CLIPPED depending on whether all, none or some vertices were clipped. If the polygon is clipped, the resulting polygon is returned in `OutPolygon` and the number of vertices in `OutCount`. `OutCount` must be initialized with the maximum number of output vertices. `OutStatus` will return additional information for clipped vertices. Normally this function will consider the polygon visible if it is on the negative side of the plane (Classify()). If `reversed` is set to true then the positive side will be used instead.

 float& csPlane3::D ( ) ` [inline]`

Return the D component of this plane.

Definition at line 113 of file plane3.h.

 float csPlane3::D ( ) const` [inline]`

Return the D component of this plane.

Definition at line 104 of file plane3.h.

 csString csPlane3::Description ( ) const

Return a textual representation of the plane in the form "aa,bb,cc,dd".

 float csPlane3::Distance ( const csVector3 & pt ) const` [inline]`

Compute the distance from the given vector to this plane.

This function assumes that 'norm' is a unit vector. If not, the function returns distance times the magnitude of 'norm'. This function corresponds exactly to the absolute value of Classify().

Definition at line 181 of file plane3.h.

 static void csPlane3::FindOrthogonalPoints ( const csVector3 & norm, csVector3 & p, csVector3 & q ) ` [static]`

Calculate two orthogonal points on the plane given by the normal 'norm' and going through the origin.

This gives an axis on that plane.

 csVector3 csPlane3::FindPoint ( ) const

Find a point on this plane.

 const csVector3& csPlane3::GetNormal ( ) const` [inline]`

Return the normal of this plane.

Definition at line 116 of file plane3.h.

 void csPlane3::Invert ( ) ` [inline]`

Reverses the direction of the plane while maintaining the plane itself.

This will basically reverse the result of Classify().

Definition at line 188 of file plane3.h.

 const csVector3& csPlane3::Normal ( ) const` [inline]`

Return the normal vector of this plane.

Definition at line 95 of file plane3.h.

 csVector3& csPlane3::Normal ( ) ` [inline]`

Return the normal vector of this plane.

Definition at line 93 of file plane3.h.

 void csPlane3::Normalize ( ) ` [inline]`

Normalizes the plane equation so that 'norm' is a unit vector.

Definition at line 193 of file plane3.h.

 bool csPlane3::operator== ( const csPlane3 & other ) const` [inline]`

Compare two planes.

Definition at line 87 of file plane3.h.

 csVector3 csPlane3::ProjectOnto ( const csVector3 & p )

Project a point onto this plane.

 void csPlane3::Set ( const csVector3 & v1, const csVector3 & v2, const csVector3 & v3 )

Initialize the plane through the three given points.

If the plane is expressed as (N,D) with N the A,B,C components of the plane then this will initialize the plane to (N',-N'*v1) with N' equal to (v1-v2)%(v1-v3).

 void csPlane3::Set ( const csVector3 & normal, float d ) ` [inline]`

Set the value of the plane using a normal and D component.

Definition at line 123 of file plane3.h.

 void csPlane3::Set ( float a, float b, float c, float d ) ` [inline]`

Set the value of the four plane components.

Definition at line 119 of file plane3.h.

 void csPlane3::Set ( const csVector3 & v2, const csVector3 & v3 ) ` [inline]`

Initialize the plane through 0 and the two given points.

If the plane is expressed as (N,D) with N the A,B,C components of the plane then this will initialize the plane to (v2v3,0).

Definition at line 139 of file plane3.h.

 void csPlane3::SetOrigin ( const csVector3 & p ) ` [inline]`

Set one point ("origin") through which the plane goes.

This is equal to setting DD = -N'*p where N' is the normal

Definition at line 148 of file plane3.h.

## Member Data Documentation

 float csPlane3::DD

The D component of the plane.

Definition at line 49 of file plane3.h.

The normal vector (or the (A,B,C) components).

Definition at line 46 of file plane3.h.

The documentation for this class was generated from the following file:

Generated for Crystal Space 1.4.1 by doxygen 1.7.1