Namespaces
namespace	Axis

Data Structures
class	AlignedCuboid
	axis-aligned cuboid More...
class	Line2
	Line2. More...
class	Rectangle2
class	Polygon2
class	Ellipse2
class	Hyperbola2
class	Circle2
class	Line3
	Line3. More...
class	Plane
class	Sphere
class	CuboidAxis
	cuboid axis defined by a normalized direction vector and a half extent More...
class	Cuboid
	arbitrary oriented bounding cuboid More...
class	Rotation3
class	GeomException
class	DivideByZeroException
class	OutOfRangeException
class	Mat2
class	Mat3
class	Mat4
class	PointCloud
class	PointCloudManager
class	Quat
	unit quaternion More...
class	Vec2
class	Vec3
	Three dimensional vector class, using Real precision. More...
class	Vec3List
class	Vec4

Typedefs
typedef std::vector< Rotation3 >	Rotation3List
typedef boost::shared_ptr < PointCloud >	PointCloudPtr
typedef std::vector< Vec2 >	Vec2List

Functions
std::ostream &	operator<< (std::ostream &os, const AlignedCuboid &c)
AlignedCuboid DLLIMPORT	Union (const AlignedCuboid &lhs, const AlignedCuboid &rhs)
Real DLLEXPORT_OST_GEOM	Angle (const Line2 &l1, const Line2 &l2)
Vec2 DLLEXPORT_OST_GEOM	IntersectionPoint (const Line2 &l1, const Line2 &l2)
Real DLLEXPORT_OST_GEOM	Distance (const Line2 &l, const Vec2 &v)
bool DLLEXPORT_OST_GEOM	IsOnLine (const Line2 &l, const Vec2 &v, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	operator== (const Line2 &l1, const Line2 &l2)
bool DLLEXPORT_OST_GEOM	Equal (const Line2 &l1, const Line2 &l2, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	EqualPosition (const Line2 &l1, const Line2 &l2, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	AreParallel (const Line2 &l1, const Line2 &l2, Real ephilon=EPSILON)
DLLEXPORT_OST_GEOM bool	IsInPolygon (const Polygon2 &p, const Vec2 &v)
DLLEXPORT_OST_GEOM Polygon2	SimplifyPolygon (const Polygon2 &p)
DLLEXPORT_OST_GEOM bool	IsInRectangle (const Rectangle2 &r, const Vec2 &v)
DLLEXPORT_OST_GEOM bool	IsInCircle (const Circle2 &c, const Vec2 &v)
std::ostream &	operator<< (std::ostream &s, const Line3 &l)
DLLEXPORT Rotation3List	ImportEulerAngles (const boost::filesystem::path &loc)
DLLEXPORT void	ExportEulerAngles (const Rotation3List &rot_list, const boost::filesystem::path &loc)
Real DLLEXPORT_OST_GEOM	Angle (const Line3 &l1, const Line3 &l2)
Real DLLEXPORT_OST_GEOM	Angle (const Plane &p1, const Plane &p2)
Real DLLEXPORT_OST_GEOM	Angle (const Plane &p, const Line3 &l)
Vec3 DLLEXPORT_OST_GEOM	IntersectionPoint (const Line3 &l1, const Line3 &l2)
Vec3 DLLEXPORT_OST_GEOM	IntersectionPoint (const Line3 &l, const Plane &p)
Vec3 DLLEXPORT_OST_GEOM	IntersectionPoint (const Plane &p, const Line3 &l)
Line3 DLLEXPORT_OST_GEOM	IntersectionLine (const Plane &p1, const Plane &p2)
Real DLLEXPORT_OST_GEOM	Distance (const Line3 &l1, const Line3 &l2)
Real DLLEXPORT_OST_GEOM	Distance (const Line3 &l, const Vec3 &v)
Real DLLEXPORT_OST_GEOM	Distance (const Plane &p, const Vec3 &v)
bool DLLEXPORT_OST_GEOM	IsOnLine (const Line3 &l, const Vec3 &v, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	IsInPlane (const Plane &p, const Vec3 &v, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	IsInPlane (const Plane &p, const Line3 &l, Real ephilon=EPSILON)
int DLLEXPORT_OST_GEOM	RelativePosition (const Plane &p, const Vec3 &v, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	operator== (const Line3 &l1, const Line3 &l2)
bool DLLEXPORT_OST_GEOM	Equal (const Line3 &l1, const Line3 &l2, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	EqualPosition (const Line3 &l1, const Line3 &l2, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	operator== (const Plane &p1, const Plane &p2)
bool DLLEXPORT_OST_GEOM	Equal (const Plane &p1, const Plane &p2, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	EqualPosition (const Plane &p1, const Plane &p2, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	AreParallel (const Plane &p, const Line3 &l, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	AreParallel (const Plane &p1, const Plane &p2, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	AreParallel (const Line3 &l1, const Line3 &l2, Real ephilon=EPSILON)
bool DLLEXPORT_OST_GEOM	AreIntersecting (const Line3 &l1, const Line3 &l2, Real ephilon=EPSILON)
DLLEXPORT bool	IsInSphere (const Sphere &p, const Vec3 &v)
DLLEXPORT_OST_GEOM std::ostream &	operator<< (std::ostream &os, const Mat2 &m)
DLLEXPORT_OST_GEOM std::ostream &	operator<< (std::ostream &o, const Mat3 &m)
DLLEXPORT_OST_GEOM std::ostream &	operator<< (std::ostream &os, const Mat4 &m)
Quat DLLEXPORT_OST_GEOM	Conjugate (const Quat &q)
Real DLLEXPORT_OST_GEOM	Dot (const Quat &q0, const Quat &q1)
Quat DLLEXPORT_OST_GEOM	Slerp (const Quat &q0, const Quat &q1, Real t)
Quat DLLEXPORT_OST_GEOM	Inv (const Quat &q)
Quat DLLEXPORT_OST_GEOM	Exp (const Quat &q)
Quat DLLEXPORT_OST_GEOM	Log (const Quat &q)
Quat DLLEXPORT_OST_GEOM	Grassmann (const Quat &lhs, const Quat &rhs)
Quat DLLEXPORT_OST_GEOM	Normalize (const Quat &q)
DLLEXPORT_OST_GEOM std::ostream &	operator<< (std::ostream &str, const Quat &q)
Vec2	operator/ (Real d, const Vec2 &v)
std::ostream &	operator<< (std::ostream &os, const Vec2 &v)
Vec3	operator/ (Real d, const Vec3 &v)
std::ostream &	operator<< (std::ostream &os, const Vec3 &v)
Vec4	operator/ (Real d, const Vec4 &v)
std::ostream &	operator<< (std::ostream &os, const Vec4 &v)
Real	Length2 (const Vec2 &v)
Real	Length (const Vec2 &v)
bool	Equal (const Vec2 &v1, const Vec2 &v2, Real ephilon=EPSILON)
bool	Equal (const Mat2 &m1, const Mat2 &m2, Real ephilon=EPSILON)
Real	Dot (const Vec2 &v1, const Vec2 &v2)
Vec2	Normalize (const Vec2 &v)
Vec2	CompMultiply (const Vec2 &v1, const Vec2 &v2)
Vec2	CompDivide (const Vec2 &v1, const Vec2 &v2)
Vec2	operator* (const Vec2 &v, const Mat2 &m)
Vec2	operator* (const Mat2 &m, const Vec2 &v)
Real DLLEXPORT_OST_GEOM	Det (const Mat2 &m)
Mat2 DLLEXPORT_OST_GEOM	Transpose (const Mat2 &m)
Mat2 DLLEXPORT_OST_GEOM	Invert (const Mat2 &m)
Real DLLEXPORT_OST_GEOM	Angle (const Vec2 &v1, const Vec2 &v2)
Real DLLEXPORT_OST_GEOM	SignedAngle (const Vec2 &v1, const Vec2 &v2)
Mat2	operator* (const Mat2 &m1, const Mat2 &m2)
Vec2	Min (const Vec2 &v1, const Vec2 &v2)
Vec2	Max (const Vec2 &v1, const Vec2 &v2)
DLLEXPORT Vec2	Rotate (const Vec2 &v, Real ang)
Real	Length2 (const Vec3 &v)
Real	Length (const Vec3 &v)
bool	Equal (const Vec3 &v1, const Vec3 &v2, Real ephilon=EPSILON)
bool	Equal (const Mat3 &m1, const Mat3 &m2, Real ephilon=EPSILON)
Real	Dot (const Vec3 &v1, const Vec3 &v2)
Vec3	Normalize (const Vec3 &v)
Vec3	Cross (const Vec3 &v1, const Vec3 &v2)
Vec3	CompMultiply (const Vec3 &v1, const Vec3 &v2)
Vec3	CompDivide (const Vec3 &v1, const Vec3 &v2)
Vec3	operator* (const Vec3 &v, const Mat3 &m)
Vec3	operator* (const Mat3 &m, const Vec3 &v)
Mat3	operator* (const Mat3 &m1, const Mat3 &m2)
Mat3 DLLEXPORT_OST_GEOM	Invert (const Mat3 &m)
Mat3 DLLEXPORT_OST_GEOM	Transpose (const Mat3 &m)
Real DLLEXPORT_OST_GEOM	Comp (const Mat3 &m, unsigned int i, unsigned int j)
Real DLLEXPORT_OST_GEOM	Minor (const Mat3 &m, unsigned int i, unsigned int j)
Real DLLEXPORT_OST_GEOM	Det (const Mat3 &m)
Real DLLEXPORT_OST_GEOM	Angle (const Vec3 &v1, const Vec3 &v2)
Real DLLEXPORT_OST_GEOM	SignedAngle (const Vec3 &v1, const Vec3 &v2, const Vec3 &ref)
Mat3 DLLEXPORT_OST_GEOM	EulerTransformation (Real theta, Real phi, Real xi)
Mat3 DLLEXPORT_OST_GEOM	AxisRotation (const Vec3 &axis, Real angle)
Vec3 DLLEXPORT_OST_GEOM	OrthogonalVector (const Vec3 &axis)
Real DLLEXPORT_OST_GEOM	DihedralAngle (const Vec3 &p1, const Vec3 &p2, const Vec3 &p3, const Vec3 &p4)
Vec3	Min (const Vec3 &v1, const Vec3 &v2)
Vec3	Max (const Vec3 &v1, const Vec3 &v2)
Real	Distance (const Vec3 &p1, const Vec3 &p2)
Real	Length2 (const Vec4 &v)
Real	Length (const Vec4 &v)
bool	Equal (const Vec4 &v1, const Vec4 &v2, Real epsilon=EPSILON)
bool	Equal (const Mat4 &m1, const Mat4 &m2, Real epsilon=EPSILON)
Real	Dot (const Vec4 &v1, const Vec4 &v2)
Vec4	Normalize (const Vec4 &v)
Vec4	CompMultiply (const Vec4 &v1, const Vec4 &v2)
Vec4	CompDivide (const Vec4 &v1, const Vec4 &v2)
Vec4	operator* (const Vec4 &v, const Mat4 &m)
Vec4	operator* (const Mat4 &m, const Vec4 &v)
Real DLLEXPORT_OST_GEOM	Comp (const Mat4 &m, unsigned int i, unsigned int j)
Real DLLEXPORT_OST_GEOM	Minor (const Mat4 &m, unsigned int i, unsigned int j)
Real DLLEXPORT_OST_GEOM	Det (const Mat4 &m)
Mat4 DLLEXPORT_OST_GEOM	Transpose (const Mat4 &m)
Mat4 DLLEXPORT_OST_GEOM	Invert (const Mat4 &m)
Mat4 DLLEXPORT_OST_GEOM	operator* (const Mat4 &m1, const Mat4 &m2)
Real DLLEXPORT_OST_GEOM	Angle (const Vec4 &v1, const Vec4 &v2)
Vec4	Min (const Vec4 &v1, const Vec4 &v2)
Vec4	Max (const Vec4 &v1, const Vec4 &v2)

Variables
static const Real	EPSILON = 1e-10

Typedef Documentation

typedef boost::shared_ptr<PointCloud> PointCloudPtr

Definition at line 60 of file point_cloud.hh.

typedef std::vector<Rotation3> Rotation3List

Definition at line 188 of file composite3.hh.

typedef std::vector<Vec2> Vec2List

Definition at line 184 of file vec2.hh.

Function Documentation

Real DLLEXPORT_OST_GEOM geom::Angle	(	const Line3 &	l1,
		const Line3 &	l2
	)

Real DLLEXPORT_OST_GEOM geom::Angle	(	const Line2 &	l1,
		const Line2 &	l2
	)

Real DLLEXPORT_OST_GEOM geom::Angle	(	const Plane &	p1,
		const Plane &	p2
	)

Real DLLEXPORT_OST_GEOM geom::Angle	(	const Plane &	p,
		const Line3 &	l
	)

Real DLLEXPORT_OST_GEOM geom::Angle	(	const Vec2 &	v1,
		const Vec2 &	v2
	)

angle beetwen two vectors

Real DLLEXPORT_OST_GEOM geom::Angle	(	const Vec4 &	v1,
		const Vec4 &	v2
	)

Real DLLEXPORT_OST_GEOM geom::Angle	(	const Vec3 &	v1,
		const Vec3 &	v2
	)

bool DLLEXPORT_OST_GEOM geom::AreIntersecting	(	const Line3 &	l1,
		const Line3 &	l2,
		Real	ephilon = `EPSILON`
	)

bool DLLEXPORT_OST_GEOM geom::AreParallel	(	const Line2 &	l1,
		const Line2 &	l2,
		Real	ephilon = `EPSILON`
	)

bool DLLEXPORT_OST_GEOM geom::AreParallel	(	const Plane &	p,
		const Line3 &	l,
		Real	ephilon = `EPSILON`
	)

bool DLLEXPORT_OST_GEOM geom::AreParallel	(	const Plane &	p1,
		const Plane &	p2,
		Real	ephilon = `EPSILON`
	)

bool DLLEXPORT_OST_GEOM geom::AreParallel	(	const Line3 &	l1,
		const Line3 &	l2,
		Real	ephilon = `EPSILON`
	)

Mat3 DLLEXPORT_OST_GEOM geom::AxisRotation	(	const Vec3 &	axis,
		Real	angle
	)

Real DLLEXPORT_OST_GEOM geom::Comp	(	const Mat4 &	m,
		unsigned int	i,
		unsigned int	j
	)

Real DLLEXPORT_OST_GEOM geom::Comp	(	const Mat3 &	m,
		unsigned int	i,
		unsigned int	j
	)

Vec2 geom::CompDivide	(	const Vec2 &	v1,
		const Vec2 &	v2
	)

inline

divide each component of v1 by that of v2

Definition at line 86 of file vecmat2_op.hh.

Vec4 geom::CompDivide	(	const Vec4 &	v1,
		const Vec4 &	v2
	)

inline

divide each component of v1 by that of v2

Definition at line 98 of file vecmat4_op.hh.

Vec3 geom::CompDivide	(	const Vec3 &	v1,
		const Vec3 &	v2
	)

inline

divide each component of v1 by that of v2

Definition at line 101 of file vecmat3_op.hh.

Vec2 geom::CompMultiply	(	const Vec2 &	v1,
		const Vec2 &	v2
	)

inline

multiply each component of v1 with that of v2

Definition at line 79 of file vecmat2_op.hh.

Vec4 geom::CompMultiply	(	const Vec4 &	v1,
		const Vec4 &	v2
	)

inline

multiply each component of v1 with that of v2

Definition at line 91 of file vecmat4_op.hh.

Vec3 geom::CompMultiply	(	const Vec3 &	v1,
		const Vec3 &	v2
	)

inline

multiply each component of v1 with that of v2

Definition at line 94 of file vecmat3_op.hh.

Quat DLLEXPORT_OST_GEOM geom::Conjugate ( const Quat & q )

Vec3 geom::Cross	(	const Vec3 &	v1,
		const Vec3 &	v2
	)

inline

vector cross product

Definition at line 85 of file vecmat3_op.hh.

Real DLLEXPORT_OST_GEOM geom::Det ( const Mat2 & m )

determinant

Real DLLEXPORT_OST_GEOM geom::Det ( const Mat4 & m )

Real DLLEXPORT_OST_GEOM geom::Det ( const Mat3 & m )

Real DLLEXPORT_OST_GEOM geom::DihedralAngle	(	const Vec3 &	p1,
		const Vec3 &	p2,
		const Vec3 &	p3,
		const Vec3 &	p4
	)

Real DLLEXPORT_OST_GEOM geom::Distance	(	const Line2 &	l,
		const Vec2 &	v
	)

Real DLLEXPORT_OST_GEOM geom::Distance	(	const Line3 &	l1,
		const Line3 &	l2
	)

Real DLLEXPORT_OST_GEOM geom::Distance	(	const Line3 &	l,
		const Vec3 &	v
	)

Real DLLEXPORT_OST_GEOM geom::Distance	(	const Plane &	p,
		const Vec3 &	v
	)

Real geom::Distance	(	const Vec3 &	p1,
		const Vec3 &	p2
	)

inline

returns the distance between two points

Definition at line 192 of file vecmat3_op.hh.

Real geom::Dot	(	const Vec2 &	v1,
		const Vec2 &	v2
	)

inline

vector dot product

Definition at line 63 of file vecmat2_op.hh.

Real geom::Dot	(	const Vec3 &	v1,
		const Vec3 &	v2
	)

inline

vector dot product

Definition at line 69 of file vecmat3_op.hh.

Real geom::Dot	(	const Vec4 &	v1,
		const Vec4 &	v2
	)

inline

vector dot product

Definition at line 76 of file vecmat4_op.hh.

Real DLLEXPORT_OST_GEOM geom::Dot	(	const Quat &	q0,
		const Quat &	q1
	)

bool DLLEXPORT_OST_GEOM geom::Equal	(	const Line2 &	l1,
		const Line2 &	l2,
		Real	ephilon = `EPSILON`
	)

bool DLLEXPORT_OST_GEOM geom::Equal	(	const Line3 &	l1,
		const Line3 &	l2,
		Real	ephilon = `EPSILON`
	)

bool geom::Equal	(	const Vec3 &	v1,
		const Vec3 &	v2,
		Real	ephilon = `EPSILON`
	)

inline

return true if components differ not more than epsilon

Definition at line 45 of file vecmat3_op.hh.

bool geom::Equal	(	const Vec4 &	v1,
		const Vec4 &	v2,
		Real	epsilon = `EPSILON`
	)

inline