# Geometry utilities

## Classes

class  csBox2
A bounding box in 2D space. More...
class  csBox2Int
A 2D bounding box with integer coordinates. More...
class  csBox3
A bounding box in 3D space. More...
class  csBoxClipper
The csBoxClipper class is able to clip convex polygons to a rectangle (such as the screen). More...
class  csBSpline
A B-spline. More...
class  csBSPTree
This BSP-tree is a binary tree that organizes a triangle mesh. More...
class  csCatmullRomSpline
A CatmullRom spline. More...
class  csChainHull2D
This is Andrew's monotone chain 2D convex hull algorithm. More...
struct  csClipInfo
Structure for use with ClipToPlane. More...
class  csClipper
The csClipper class is an abstract parent to all 2D clipping objects. More...
struct  csCompressVertex
This structure is used by csVector3Array::CompressVertices(). More...
class  csCoverageTile
Coverage tile. More...
class  csCubicSpline
A cubic spline. More...
class  csDIntersect3
Some functions to perform various intersection calculations with 3D line segments. More...
class  csDMath3
Various assorted 3D mathematical functions. More...
class  csDMatrix3
A 3x3 matrix. More...
class  csDPlane
A plane in 3D space. More...
class  csDSquaredDist
Some functions to perform squared distance calculations. More...
class  csDualQuaternion
Dual quaternion is a combination q = q0 + e*qe where e is the dual identity element (e^2 = 0) For the background, read "Preliminary Sketch of Biquaternions" [W Clifford, 1873]. More...
class  csDVector3
A 3D vector. More...
class  csEllipsoid
This class represents an ellipsoid. More...
class  csFixed16
Encapsulation of a 16.16 fixed-point number. More...
class  csFixed24
Encapsulation of a 8.24 fixed-point number. More...
class  csFrustum
A general frustum. More...
class  csIntersect2
Some functions to perform various intersection calculations with 2D line segments. More...
class  csIntersect3
Some functions to perform various intersection calculations with 3D line segments. More...
class  csKDTree
A KD-tree. More...
class  csKDTreeChild
A child in the KD-tree (usually some object). More...
class  csMath2
Various functions in 2D, such as 2D vector functions. More...
class  csMath3
Various assorted 3D mathematical functions. More...
class  csMatrix2
A 2x2 matrix. More...
class  csMatrix3
A 3x3 matrix. More...
class  csOBB
Oriented bounding box (OBB). More...
class  csOBBFrozen
Version of the csOBB with frozen corners (for optimization purposes). More...
class  csObjectModel
Helper class to make it easier to implement iObjectModel in mesh objects. More...
class  csOrthoTransform
A class which defines a reversible transformation from one coordinate system to another by maintaining an inverse transformation matrix. More...
class  csPath
A path in 3D. More...
class  csPlane2
A plane in 2D space. More...
class  csPlane3
A plane in 3D space. More...
class  csPoly2D
The following class represents a general 2D polygon. More...
class  csPoly2DFactory
This factory is responsible for creating csPoly2D objects or subclasses of csPoly2D. More...
class  csPoly2DPool
This is an object pool which holds objects of type csPoly2D. More...
class  csPoly3D
The following class represents a general 3D polygon. More...
class  csPolygonClipper
The csPolygonClipper class can be used for clipping any polygon against any other convex polygon. More...
class  csPolyIndexed
The following class represents a general polygon. More...
class  csQuaternion
Class for a quaternion. More...
class  csRect
Rectangle class: simple class for manipulating 2D rectangles. More...
class  csRectRegion
A rect region is a class that implements splittable 2d rectangles. More...
class  csReversibleTransform
A class which defines a reversible transformation from one coordinate system to another by maintaining an inverse transformation matrix. More...
class  csSegment2
A 2D line segment. More...
class  csSegment3
A 3D line segment. More...
class  csSolidSpace
This structure keeps track of solid space. More...
class  csSphere
This class represents a sphere. More...
class  csSpline
A spline superclass. More...
class  csSquaredDist
Some functions to perform squared distance calculations. More...
struct  csTestRectData
A structure used by TestRectangle() and initialized by PrepareTestRectangle(). More...
class  csTextureTrans
This is a static class which encapsulates a few functions that can transform texture information into a texture matrix/vector. More...
class  csTiledCoverageBuffer
The tiled coverage Buffer. More...
class  csTransform
A class which defines a transformation from one coordinate system to another. More...
struct  csTriangle
A triangle. More...
class  csTriangleLODAlgo
Algorithm class that calculates the cost of a vertex. More...
class  csTriangleLODAlgoEdge
This subclass of csTriangleLODAlgo uses a very simple cost metric to calculate the vertex cost. More...
class  csTriangleMesh
A mesh of triangles. More...
class  csTriangleMeshBox
A convenience triangle mesh implementation that represents a cube. More...
struct  csTriangleMeshEdge
A definition of one edge. More...
class  csTriangleMeshLOD
A static class which performs the calculation of the best order to do the collapsing of a triangle mesh. More...
class  csTriangleMeshPointer
A convenience triangle mesh which takes vertex and triangle pointers from another source. More...
class  csTriangleMeshTools
A set of tools to work with iTriangleMesh instances. More...
class  csTriangleVertex
The representation of a vertex in a triangle mesh. More...
class  csTriangleVertexCost
The representation of a vertex in a triangle mesh. More...
class  csTriangleVertices
A class which holds vertices and connectivity information for a triangle mesh. More...
class  csTriangleVerticesCost
A class which holds vertices and connectivity information for a triangle mesh. More...
class  csTriangleVerticesSorted
This class works closely with csTriangleVerticesCost and maintains a sorted (on cost) view of the vertices. More...
class  csVector2
A 2D vector. More...
class  csVector3
A 3D vector. More...
class  csVector3Array
This is actually the same class as csPoly3D. More...
class  csVector4
A 4D vector with "float" components. More...
class  csVector4T< T >
A 4D vector with variable type components. More...
struct  csVertexStatus
The clipper can output additional information about each vertex in output polygon. More...
class  csXRotMatrix3
An instance of csMatrix3 that is initialized as a rotation about X. More...
class  csXScaleMatrix3
An instance of csMatrix3 that is initialized to scale the X dimension. More...
class  csYRotMatrix3
An instance of csMatrix3 that is initialized as a rotation about Y. More...
class  csYScaleMatrix3
An instance of csMatrix3 that is initialized to scale the Y dimension. More...
class  csZRotMatrix3
An instance of csMatrix3 that is initialized as a rotation about Z. More...
class  csZScaleMatrix3
An instance of csMatrix3 that is initialized to scale the Z dimension. More...
struct  iClipper2D
This interfaces represents a 2D clipper for polygons. More...
struct  iDecal
A decal created by the decal manager. More...
struct  iDecalBuilder
Interface for mesh objects to use to build decals for their mesh object. More...
struct  iDecalManager
Creates and manages decals. More...
struct  iDecalTemplate
Interface for a decal template which dictates the appearance of a newly created decal. More...
struct  iKDTreeObjectDescriptor
If you implement this interface then you can give that to the KDtree. More...
struct  iKDTreeUserData
The data type for user data to be attached to the KDTree. More...
struct  iObjectModel
This interface represents data related to some geometry in object space. More...
struct  iObjectModelListener
Implement this class if you're interested in hearing about when the object model changes. More...
struct  iPath
A path in 3D. More...
struct  iTriangleMesh
This interface reprents a mesh of triangles. More...
struct  iTriangleMeshIterator
Iterator to iterate over all data mesh ID's in an object model. More...

## Namespaces

namespace  CS

Main namespace for CrystalSpace.

## Defines

#define CS_BOUNDINGBOX_MAXVALUE   1000000000.
The maximum value that a coordinate in the bounding box can use.
#define MAX_OUTPUT_VERTICES   64
Maximal number of vertices in output (clipped) polygons.

## Typedefs

typedef void(* csAAPFCBBox )(int x, int y, int w, int h, void *arg)
"Draw a box" callback
typedef void(* csAAPFCBPixel )(int x, int y, float area, void *arg)
Callback functions used by csAntialiasedPolyFill.
typedef bool( csKDTreeVisitFunc )(csKDTree *treenode, void *userdata, uint32 timestamp, uint32 &frustum_mask)
A callback function for visiting a KD-tree node.

## Enumerations

enum  { CS_POL_SAME_PLANE = 0, CS_POL_FRONT = 1, CS_POL_BACK = 2, CS_POL_SPLIT_NEEDED = 3 }

Values returned by csPoly3D::Classify.

More...
enum  {
CS_AXIS_NONE = -1, CS_AXIS_X = 0, CS_AXIS_Y = 1, CS_AXIS_Z = 2,
CS_AXIS_W = 3
}

Constants for axes.

More...

## Functions

void csAntialiasedPolyFill (csVector2 *iVertices, int iVertexCount, void *iArg, csAAPFCBPixel iPutPixel, csAAPFCBBox iDrawBox=0)
This function takes a 2D polygon and splits it against a integer grid into many sub-polygons.
template<class T >
csClamp (const T &a, T max, T min)
Clamp a between max and min.
template<class T , class Tfactor >
csLerp (const T &a, const T &b, const Tfactor &f)
Performs a linear interpolation between a and b with the factor f.
template<class T >
const T & csMax (const T &a, const T &b)
Returns bigger of a and b.
template<class T >
const T & csMin (const T &a, const T &b)
Returns smaller of a and b.
template<class T >
csSmoothStep (const T &a, T max, T min)
Performs a smooth interpolation of a on range min to max.
template<class T , class U >
void csSort (T &a, T &b, U &x, U &y)
Sort a and b in order of size.
template<class T >
void csSort (T &a, T &b)
Sort a and b in order of size.
template<class T >
csSquare (const T &x)
Returns the square of the argument.

## Corner indices

enum  {
CS_BOX_CORNER_xy = 0, CS_BOX_CORNER_xY = 1, CS_BOX_CORNER_Xy = 2, CS_BOX_CORNER_XY = 3,
CS_BOX_CENTER2 = 4
}

## Indices of edges for csBox2.

Index e+1 is opposite edge of e (with e even).

enum  {
CS_BOX_EDGE_xy_Xy = 0, CS_BOX_EDGE_Xy_xy = 1, CS_BOX_EDGE_Xy_XY = 2, CS_BOX_EDGE_XY_Xy = 3,
CS_BOX_EDGE_XY_xY = 4, CS_BOX_EDGE_xY_XY = 5, CS_BOX_EDGE_xY_xy = 6, CS_BOX_EDGE_xy_xY = 7
}

## Indices of corner vertices for csBox3.

Used by csBox3::GetCorner().

enum  {
CS_BOX_CORNER_xyz = 0, CS_BOX_CORNER_xyZ = 1, CS_BOX_CORNER_xYz = 2, CS_BOX_CORNER_xYZ = 3,
CS_BOX_CORNER_Xyz = 4, CS_BOX_CORNER_XyZ = 5, CS_BOX_CORNER_XYz = 6, CS_BOX_CORNER_XYZ = 7,
CS_BOX_CENTER3 = 8
}

## Indices of faces for csBox3.

Used by csBox3::GetSide().

enum  {
CS_BOX_SIDE_x = 0, CS_BOX_SIDE_X = 1, CS_BOX_SIDE_y = 2, CS_BOX_SIDE_Y = 3,
CS_BOX_SIDE_z = 4, CS_BOX_SIDE_Z = 5, CS_BOX_INSIDE = 6
}

## Indices of edges for csBox3.

Index e+1 is opposite edge of e (with e even).

enum  {
CS_BOX_EDGE_Xyz_xyz = 0, CS_BOX_EDGE_xyz_Xyz = 1, CS_BOX_EDGE_xyz_xYz = 2, CS_BOX_EDGE_xYz_xyz = 3,
CS_BOX_EDGE_xYz_XYz = 4, CS_BOX_EDGE_XYz_xYz = 5, CS_BOX_EDGE_XYz_Xyz = 6, CS_BOX_EDGE_Xyz_XYz = 7,
CS_BOX_EDGE_Xyz_XyZ = 8, CS_BOX_EDGE_XyZ_Xyz = 9, CS_BOX_EDGE_XyZ_XYZ = 10, CS_BOX_EDGE_XYZ_XyZ = 11,
CS_BOX_EDGE_XYZ_XYz = 12, CS_BOX_EDGE_XYz_XYZ = 13, CS_BOX_EDGE_XYZ_xYZ = 14, CS_BOX_EDGE_xYZ_XYZ = 15,
CS_BOX_EDGE_xYZ_xYz = 16, CS_BOX_EDGE_xYz_xYZ = 17, CS_BOX_EDGE_xYZ_xyZ = 18, CS_BOX_EDGE_xyZ_xYZ = 19,
CS_BOX_EDGE_xyZ_xyz = 20, CS_BOX_EDGE_xyz_xyZ = 21, CS_BOX_EDGE_xyZ_XyZ = 22, CS_BOX_EDGE_XyZ_xyZ = 23
}

## Polygon-to-Frustum relations

Return values for csFrustum::Classify.

The routine makes a difference whenever a polygon is fully outside the frustum, fully inside, fully covers the frustum or is partly inside, partly outside.

enum  { CS_FRUST_OUTSIDE = 0, CS_FRUST_INSIDE = 1, CS_FRUST_COVERED = 2, CS_FRUST_PARTIAL = 3 }

## Clipper return codes

The clipper routines return one of `CS_CLIP_OUTSIDE`, `CS_CLIP_INSIDE`, `CS_CLIP_CLIPPED` so that we can distinguish between the cases when input polygon is completely outside the clipping polygon (thus it is not visible), completely inside the clipping polygon (thus it has not changed) and partially outside, partially inside (thus it was clipped).

enum  { CS_CLIP_OUTSIDE = 0, CS_CLIP_CLIPPED = 1, CS_CLIP_INSIDE = 2 }

enum  { CS_VERTEX_ORIGINAL = 0, CS_VERTEX_ONEDGE = 1, CS_VERTEX_INSIDE = 2 }

Clipped vertex type.

More...

## Flags for iTriangleMesh

enum  {
CS_TRIMESH_CLOSED = 1, CS_TRIMESH_NOTCLOSED = 2, CS_TRIMESH_CONVEX = 4, CS_TRIMESH_NOTCONVEX = 8,
CS_TRIMESH_DEFORMABLE = 16
}

bool csFinite (float f)
Checks if a floating point value is finite.
bool csFinite (double d)
Checks if a double-precision floating point value is finite.
bool csNaN (float f)
Checks if a floating point value is not-a-number.
bool csNaN (double d)
Checks if a double-precision floating point value is not-a-number.
bool csNormal (float f)
Checks if a floating point value is normal (not infinite or nan).
bool csNormal (double d)
Checks if a double-precision floating point value is normal.

## Define Documentation

 #define CS_BOUNDINGBOX_MAXVALUE   1000000000.

The maximum value that a coordinate in the bounding box can use.

This is considered the 'infinity' value used for empty bounding boxes.

Definition at line 49 of file box.h.

 #define MAX_OUTPUT_VERTICES   64

Maximal number of vertices in output (clipped) polygons.

Definition at line 36 of file clip2d.h.

## Typedef Documentation

 typedef void(* csAAPFCBBox)(int x, int y, int w, int h, void *arg)

"Draw a box" callback

Definition at line 46 of file polyaa.h.

 typedef void(* csAAPFCBPixel)(int x, int y, float area, void *arg)

Callback functions used by csAntialiasedPolyFill.

We have two types of callback: one for "drawing a pixel", the area of the pixel is passed to the callback routine. The second routine is for "drawing a box", the area of every "pixel" is always 1.0. "Draw one pixel" callback

Definition at line 44 of file polyaa.h.

 typedef bool( csKDTreeVisitFunc)(csKDTree *treenode, void *userdata, uint32 timestamp, uint32 &frustum_mask)

A callback function for visiting a KD-tree node.

If this function returns true the traversal will continue. Otherwise Front2Back() will stop.

This function is itself responsible for calling Distribute() on the given treenode to ensure that the objects in this node are properly distributed to the children. If the function doesn't want or need this functionality it doesn't have to do Distribute().

If this function decides to process the given node then it is also responsible for checking the timestamp of every child in this node with the timestamp given to this function. If this timestamp is different the child has not been processed before. This function should then update the timestamp of the child. If this is not done then some objects will be encountered multiple times. In some cases this may not be a problem or even desired.

'frustum_mask' can be modified by this function to reduce the number of plane tests (for frustum culling) that have to occur for children of this node.

Definition at line 89 of file kdtree.h.

## Enumeration Type Documentation

 anonymous enum
Enumerator:
 CS_BOX_CORNER_xy min X, min Y CS_BOX_CORNER_xY min X, max Y CS_BOX_CORNER_Xy max X, min Y CS_BOX_CORNER_XY max X, max Y CS_BOX_CENTER2 center

Definition at line 54 of file box.h.

 anonymous enum
Enumerator:
 CS_BOX_EDGE_xy_Xy from min X, min Y to max X, min Y CS_BOX_EDGE_Xy_xy from max X, min Y to min X, min Y CS_BOX_EDGE_Xy_XY from max X, min Y to max X, max Y CS_BOX_EDGE_XY_Xy from max X, max Y to max X, min Y CS_BOX_EDGE_XY_xY from max X, max Y to min X, max Y CS_BOX_EDGE_xY_XY from min X, max Y to max X, max Y CS_BOX_EDGE_xY_xy from min X, max Y to min X, min Y CS_BOX_EDGE_xy_xY from min X, min Y to min X, max Y

Definition at line 73 of file box.h.

 anonymous enum

Values returned by csPoly3D::Classify.

Enumerator:
 CS_POL_SAME_PLANE Poly is on same plane. CS_POL_FRONT Poly is completely in front of the given plane. CS_POL_BACK Poly is completely back of the given plane. CS_POL_SPLIT_NEEDED Poly intersects with plane.

Definition at line 38 of file poly3d.h.

 anonymous enum
Enumerator:
 CS_BOX_CORNER_xyz min X, min Y, min Z CS_BOX_CORNER_xyZ min X, min Y, max Z CS_BOX_CORNER_xYz min X, max Y, min Z CS_BOX_CORNER_xYZ min X, max Y, max Z CS_BOX_CORNER_Xyz min X, min Y, min Z CS_BOX_CORNER_XyZ max X, min Y, max Z CS_BOX_CORNER_XYz max X, max Y, min Z CS_BOX_CORNER_XYZ max X, max Y, max Z CS_BOX_CENTER3 center

Definition at line 485 of file box.h.

 anonymous enum

Constants for axes.

Can also be used as indices to csVector2::operator[], csVector3::operator[] and csVector4::operator[] for more readability.

Enumerator:
 CS_AXIS_NONE Invalid axis. CS_AXIS_X X axis. CS_AXIS_Y Y axis. CS_AXIS_Z Z axis. CS_AXIS_W W axis.

Definition at line 40 of file vector3.h.

 anonymous enum
Enumerator:
 CS_BOX_SIDE_x min X CS_BOX_SIDE_X max X CS_BOX_SIDE_y min Y CS_BOX_SIDE_Y max Y CS_BOX_SIDE_z min Z CS_BOX_SIDE_Z max Z CS_BOX_INSIDE inside

Definition at line 512 of file box.h.

 anonymous enum
Enumerator:
 CS_BOX_EDGE_Xyz_xyz from max X, min Y, min Z to min X, min Y, min Z CS_BOX_EDGE_xyz_Xyz from min X, min Y, min Z to max X, min Y, min Z CS_BOX_EDGE_xyz_xYz from min X, min Y, min Z to min X, max Y, min Z CS_BOX_EDGE_xYz_xyz from min X, max Y, min Z to min X, min Y, min Z CS_BOX_EDGE_xYz_XYz from min X, max Y, min Z to max X, max Y, min Z CS_BOX_EDGE_XYz_xYz from max X, max Y, min Z to min X, max Y, min Z CS_BOX_EDGE_XYz_Xyz from max X, max Y, min Z to max X, min Y, min Z CS_BOX_EDGE_Xyz_XYz from max X, min Y min Z to max X, max Y, min Z CS_BOX_EDGE_Xyz_XyZ from max X, min Y, min Z to max X, min Y, max Z CS_BOX_EDGE_XyZ_Xyz from max X, min Y, max Z to max X, min Y, min Z CS_BOX_EDGE_XyZ_XYZ from max X, min Y, max Z to max X, max Y, max Z CS_BOX_EDGE_XYZ_XyZ from max X, max Y, max Z to max X, min Y, max Z CS_BOX_EDGE_XYZ_XYz from max X, max Y, max Z to max X, max Y, min Z CS_BOX_EDGE_XYz_XYZ from max X, max Y, min Z to max X, max Y, max Z CS_BOX_EDGE_XYZ_xYZ from max X, max Y, max Z to min X, max Y, max Z CS_BOX_EDGE_xYZ_XYZ from min X, max Y, max Z to max X, max Y, max Z CS_BOX_EDGE_xYZ_xYz from min X, max Y, max Z to min X, max Y, min Z CS_BOX_EDGE_xYz_xYZ from min X, max Y, min Z to min X, max Y, max Z CS_BOX_EDGE_xYZ_xyZ from min X, max Y, max Z to min X, min Y, max Z CS_BOX_EDGE_xyZ_xYZ from min X, min Y, max Z to min X, max Y, max Z CS_BOX_EDGE_xyZ_xyz from min X, min Y, max Z to min X, min Y, min Z CS_BOX_EDGE_xyz_xyZ from min X, min Y, min Z to min X, min Y, max Z CS_BOX_EDGE_xyZ_XyZ from min X, min Y, max Z to max X, min Y, max Z CS_BOX_EDGE_XyZ_xyZ from max X, min Y, max Z to min X, min Y, max Z

Definition at line 535 of file box.h.

 anonymous enum
Enumerator:
 CS_FRUST_OUTSIDE The polygon is fully outside frustum. CS_FRUST_INSIDE The polygon is fully inside frustum. CS_FRUST_COVERED The polygon fully covers the frustum. CS_FRUST_PARTIAL The polygon is partially inside frustum.

Definition at line 46 of file frustum.h.

 anonymous enum
Enumerator:
 CS_CLIP_OUTSIDE The input polygon is completely outside of clipper polygon. CS_CLIP_CLIPPED The input polygon was partially inside, partially outside. CS_CLIP_INSIDE The input polygon is completely inside (thus has not changed).

Definition at line 46 of file clip2d.h.

 anonymous enum

Clipped vertex type.

Enumerator:
 CS_VERTEX_ORIGINAL The output vertex is one of the input vertices. CS_VERTEX_ONEDGE The output vertex is located on one of the edges of the original polygon. CS_VERTEX_INSIDE The output vertex is located somewhere inside the original polygon.

Definition at line 79 of file clip2d.h.

 anonymous enum
Enumerator:
 CS_TRIMESH_CLOSED The object is closed, if set. With closed we mean that if you run a beam of light through the object (through any point outside the mesh to another point outside) it will always hit an even amount of faces (one going in, and one going out). If you don't set CLOSED or NOTCLOSED then the state is not known and the engine may test it if it wants. CS_TRIMESH_NOTCLOSED The object is not closed, if set. This is the opposite of CS_TRIMESH_CLOSED. Use this flag if you are absolutely certain that the object is not closed. The engine will not attempt to test if the object is really closed or not. If you don't set CLOSED or NOTCLOSED then the state is not known and the engine may test it if it wants. CS_TRIMESH_CONVEX The object is convex, if set. With convex we mean that if you run a beam of light through the object (through any point outside the mesh to another point outside) it will always hit exactly two faces (one going in, and one going out). If you don't * set CONVEX or NOTCONVEX then the state is not known and the engine may test it if it wants. CS_TRIMESH_NOTCONVEX The object is not convex, if set. This is the opposite of CS_TRIMESH_CONVEX. Use this flag if you are absolutely certain that the object is not convex. The engine will not attempt to test if the object is really convex or not. If you don't set CONVEX or NOTCONVEX then the state is not known and the engine may test it if it wants. CS_TRIMESH_DEFORMABLE Set this flag if the triangle mesh is deformable.

Definition at line 37 of file trimesh.h.

## Function Documentation

 void csAntialiasedPolyFill ( csVector2 * iVertices, int iVertexCount, void * iArg, csAAPFCBPixel iPutPixel, csAAPFCBBox iDrawBox = `0` )

This function takes a 2D polygon and splits it against a integer grid into many sub-polygons.

Then the area of each subpolygon is computed and a callback function is called, with the area of sub-polygon passed as argument.

template<class T >
 T csClamp ( const T & a, T max, T min )

Clamp a between max and min.

Definition at line 80 of file math.h.

 bool csFinite ( float f )

Checks if a floating point value is finite.

Definition at line 127 of file math.h.

 bool csFinite ( double d )

Checks if a double-precision floating point value is finite.

Definition at line 144 of file math.h.

template<class T , class Tfactor >
 T csLerp ( const T & a, const T & b, const Tfactor & f )

Performs a linear interpolation between a and b with the factor f.

Definition at line 111 of file math.h.

template<class T >
 const T& csMax ( const T & a, const T & b )

Returns bigger of a and b.

If they are equal, a or b can be returned.

Definition at line 35 of file math.h.

template<class T >
 const T& csMin ( const T & a, const T & b )

Returns smaller of a and b.

If they are equal, a or b can be returned.

Definition at line 45 of file math.h.

 bool csNaN ( float f )

Checks if a floating point value is not-a-number.

Definition at line 160 of file math.h.

 bool csNaN ( double d )

Checks if a double-precision floating point value is not-a-number.

Definition at line 175 of file math.h.

 bool csNormal ( float f )

Checks if a floating point value is normal (not infinite or nan).

Definition at line 189 of file math.h.

 bool csNormal ( double d )

Checks if a double-precision floating point value is normal.

Definition at line 202 of file math.h.

template<class T >
 T csSmoothStep ( const T & a, T max, T min )

Performs a smooth interpolation of a on range min to max.

Returns:
Smooth interporlated value if min < a < max, and 0 resp. 1 if a is smaller than min resp. larger than max.

Definition at line 91 of file math.h.

template<class T >
 void csSort ( T & a, T & b )

Sort a and b in order of size.

Definition at line 55 of file math.h.

template<class T , class U >
 void csSort ( T & a, T & b, U & x, U & y )

Sort a and b in order of size.

If swapping them, also swap x and y

Definition at line 66 of file math.h.

template<class T >
 T csSquare ( const T & x )

Returns the square of the argument.

Definition at line 120 of file math.h.

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