geom Namespace Reference

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	VectorAdditions
class	Mat2
class	Mat3
class	Mat4
class	PointCloud
class	PointCloudManager
class	Quat
	unit quaternion More...
class	Transform
	basic and essential transformation class, including translation, rotation and center of rotation More...
class	Vec2
class	Vec3
	Three dimensional vector class, using Real precision. More...
class	Vec3List
class	Vec4
Typedefs
typedef std::vector< Rotation3 >	Rotation3List
typedef std::vector< Mat4 >	Mat4List
typedef boost::shared_ptr < PointCloud >	PointCloudPtr
typedef std::vector< Vec2 >	Vec2List
Functions
std::ostream &	operator<< (std::ostream &os, const AlignedCuboid &c)
AlignedCuboid DLLEXPORT_OST_GEOM	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)
DLLEXPORT_OST_GEOM std::ostream &	operator<< (std::ostream &s, const Line3 &l)
DLLEXPORT_OST_GEOM Rotation3List	ImportEulerAngles (const boost::filesystem::path &loc)
DLLEXPORT_OST_GEOM 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 DLLIMPORT	Conjugate (const Quat &q)
Real DLLIMPORT	Dot (const Quat &q0, const Quat &q1)
Quat DLLIMPORT	Slerp (const Quat &q0, const Quat &q1, Real t)
Quat DLLIMPORT	Inv (const Quat &q)
Quat DLLIMPORT	Exp (const Quat &q)
Quat DLLIMPORT	Log (const Quat &q)
Quat DLLIMPORT	Normalize (const Quat &q)
DLLIMPORT 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 DLLIMPORT	Det (const Mat2 &m)
Mat2 DLLIMPORT	Transpose (const Mat2 &m)
Mat2 DLLIMPORT	Invert (const Mat2 &m)
Real DLLIMPORT	Angle (const Vec2 &v1, const Vec2 &v2)
Real DLLIMPORT	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 DLLIMPORT	Invert (const Mat3 &m)
Mat3 DLLIMPORT	Transpose (const Mat3 &m)
Real DLLIMPORT	Comp (const Mat3 &m, unsigned int i, unsigned int j)
Real DLLIMPORT	Minor (const Mat3 &m, unsigned int i, unsigned int j)
Real DLLIMPORT	Det (const Mat3 &m)
Real DLLIMPORT	Angle (const Vec3 &v1, const Vec3 &v2)
Real DLLIMPORT	SignedAngle (const Vec3 &v1, const Vec3 &v2, const Vec3 &ref)
Mat3 DLLIMPORT	EulerTransformation (Real theta, Real phi, Real xi)
Mat3 DLLIMPORT	AxisRotation (const Vec3 &axis, Real angle)
Vec3 DLLIMPORT	OrthogonalVector (const Vec3 &axis)
Real DLLIMPORT	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	Distance2WithPBC (const Vec3 &v1, const Vec3 &v2, const Vec3 &ucell_size)
Real	DistanceWithPBC (const Vec3 &v1, const Vec3 &v2, const Vec3 &ucell_size)
Real DLLIMPORT	MinDistance (const Vec3List &l1, const Vec3List &l2)
Real DLLIMPORT	MinDistanceWithPBC (const Vec3List &l1, const Vec3List &l2, Vec3 &ucell_size)
std::vector< unsigned int > DLLIMPORT	MinDistanceIndices (const Vec3List &l1, const Vec3List &l2)
Vec3List DLLIMPORT	CalculateUnitCellVectors (const Vec3 &ucell_size, const Vec3 &ucell_angles)
Vec3 DLLIMPORT	WrapVec3 (const Vec3 &v1, const Vec3 &box_center, const Vec3 &ucell_size)
Vec3List DLLIMPORT	WrapVec3List (const Vec3List &vl, const Vec3 &box_center, const Vec3 &ucell_size)
Vec3 DLLIMPORT	WrapVec3 (const Vec3 &v1, const Vec3 &box_center, const Vec3 &ucell_size, const Vec3 &ucell_angles)
Vec3List DLLIMPORT	WrapVec3List (const Vec3List &vl, const Vec3 &box_center, const Vec3 &ucell_size, const Vec3 &ucell_angles)
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 DLLIMPORT	Comp (const Mat4 &m, unsigned int i, unsigned int j)
Real DLLIMPORT	Minor (const Mat4 &m, unsigned int i, unsigned int j)
Real DLLIMPORT	Det (const Mat4 &m)
Mat4 DLLIMPORT	Transpose (const Mat4 &m)
Mat4 DLLIMPORT	Invert (const Mat4 &m)
Mat4 DLLIMPORT	operator* (const Mat4 &m1, const Mat4 &m2)
Real DLLIMPORT	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-6

---

Typedef Documentation

typedef std::vector<Mat4> Mat4List

Definition at line 140 of file mat4.hh.

typedef boost::shared_ptr<PointCloud> PointCloudPtr

Definition at line 60 of file point_cloud.hh.

typedef std::vector<Rotation3> Rotation3List

Definition at line 186 of file composite3.hh.

typedef std::vector<Vec2> Vec2List

Definition at line 202 of file vec2.hh.

---

Function Documentation

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

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

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

angle beetwen two vectors

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

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

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

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

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

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

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

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

Vec3List DLLIMPORT geom::CalculateUnitCellVectors	(	const Vec3 &	ucell_size,
		const Vec3 &	ucell_angles
	)

Calculates the Unit Cell Vectors from their sizes and angles (given as Vec3(gamma,beta,alpha)).

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

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

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::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::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.

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.

Quat DLLIMPORT 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 DLLIMPORT geom::Det

(

const Mat4 &

m

)

Real DLLIMPORT geom::Det

(

const Mat3 &

m

)

Real DLLIMPORT geom::Det

(

const Mat2 &

m

)

determinant

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

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

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

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

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

Real geom::Distance2WithPBC	(	const Vec3 &	v1,
		const Vec3 &	v2,
		const Vec3 &	ucell_size
	)			[inline]

return the squared distance between two points with periodic boundaries in x,y,z given in ucell_size

Definition at line 199 of file vecmat3_op.hh.

Real geom::DistanceWithPBC	(	const Vec3 &	v1,
		const Vec3 &	v2,
		const Vec3 &	ucell_size
	)			[inline]

return the distance between two points with periodic boundaries in x,y,z given in ucell_size

Definition at line 210 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 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 Vec2 &	v1,
		const Vec2 &	v2
	)			[inline]

vector dot product

Definition at line 63 of file vecmat2_op.hh.

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

bool geom::Equal	(	const Mat4 &	m1,
		const Mat4 &	m2,
		Real	epsilon = EPSILON
	)			[inline]

return true if components differ not more than ephilon

Definition at line 55 of file vecmat4_op.hh.

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

return true if components differ not more than ephilon

Definition at line 46 of file vecmat4_op.hh.

bool geom::Equal	(	const Mat3 &	m1,
		const Mat3 &	m2,
		Real	ephilon = EPSILON
	)			[inline]

return true if components differ not more than ephilon

Definition at line 54 of file vecmat3_op.hh.

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 Mat2 &	m1,
		const Mat2 &	m2,
		Real	ephilon = EPSILON
	)			[inline]

return true if components differ not more than ephilon

Definition at line 54 of file vecmat2_op.hh.

bool geom::Equal	(	const Vec2 &	v1,
		const Vec2 &	v2,
		Real	ephilon = EPSILON
	)			[inline]

return true if components differ not more than ephilon

Definition at line 47 of file vecmat2_op.hh.

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

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

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

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

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

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

Mat3 DLLIMPORT geom::EulerTransformation	(	Real	theta,
		Real	phi,
		Real	xi
	)

Quat DLLIMPORT geom::Exp

(

const Quat &

q

)

DLLEXPORT_OST_GEOM void geom::ExportEulerAngles	(	const Rotation3List &	rot_list,
		const boost::filesystem::path &	loc
	)

DLLEXPORT_OST_GEOM Rotation3List geom::ImportEulerAngles

(

const boost::filesystem::path &

loc

)

Line3 DLLEXPORT_OST_GEOM geom::IntersectionLine	(	const Plane &	p1,
		const Plane &	p2
	)

Vec3 DLLEXPORT_OST_GEOM geom::IntersectionPoint	(	const Plane &	p,
		const Line3 &	l
	)

Vec3 DLLEXPORT_OST_GEOM geom::IntersectionPoint	(	const Line3 &	l,
		const Plane &	p
	)

Vec3 DLLEXPORT_OST_GEOM geom::IntersectionPoint	(	const Line3 &	l1,
		const Line3 &	l2
	)

Vec2 DLLEXPORT_OST_GEOM geom::IntersectionPoint	(	const Line2 &	l1,
		const Line2 &	l2
	)

Quat DLLIMPORT geom::Inv

(

const Quat &

q

)

Mat4 DLLIMPORT geom::Invert

(

const Mat4 &

m

)

Mat3 DLLIMPORT geom::Invert

(

const Mat3 &

m

)

Mat2 DLLIMPORT geom::Invert

(

const Mat2 &

m

)

Matrix inversion.

DLLEXPORT_OST_GEOM bool geom::IsInCircle	(	const Circle2 &	c,
		const Vec2 &	v
	)

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

bool DLLEXPORT_OST_GEOM geom::IsInPlane	(	const Plane &	p,
		const Vec3 &	v,
		Real	ephilon = EPSILON
	)

DLLEXPORT_OST_GEOM bool geom::IsInPolygon	(	const Polygon2 &	p,
		const Vec2 &	v
	)

DLLEXPORT_OST_GEOM bool geom::IsInRectangle	(	const Rectangle2 &	r,
		const Vec2 &	v
	)

DLLEXPORT bool geom::IsInSphere	(	const Sphere &	p,
		const Vec3 &	v
	)

bool DLLEXPORT_OST_GEOM geom::IsOnLine	(	const Line3 &	l,
		const Vec3 &	v,
		Real	ephilon = EPSILON
	)

bool DLLEXPORT_OST_GEOM geom::IsOnLine	(	const Line2 &	l,
		const Vec2 &	v,
		Real	ephilon = EPSILON
	)

Real geom::Length

(

const Vec4 &

v

)

[inline]

returns length of vector

Definition at line 40 of file vecmat4_op.hh.

Real geom::Length

(

const Vec3 &

v

)

[inline]

returns length of vector

Definition at line 39 of file vecmat3_op.hh.

Real geom::Length

(

const Vec2 &

v

)

[inline]

returns length of vector

Definition at line 41 of file vecmat2_op.hh.

Real geom::Length2

(

const Vec4 &

v

)

[inline]

returns squared length of vector

Definition at line 34 of file vecmat4_op.hh.

Real geom::Length2

(

const Vec3 &

v

)

[inline]

returns squared length of vector

Definition at line 33 of file vecmat3_op.hh.

Real geom::Length2

(

const Vec2 &

v

)

[inline]

returns squared length of vector

Definition at line 35 of file vecmat2_op.hh.

Quat DLLIMPORT geom::Log

(

const Quat &

q

)

Vec4 geom::Max	(	const Vec4 &	v1,
		const Vec4 &	v2
	)			[inline]

returns std::max of each component

Definition at line 147 of file vecmat4_op.hh.

Vec3 geom::Max	(	const Vec3 &	v1,
		const Vec3 &	v2
	)			[inline]

returns std::max of each component

Definition at line 183 of file vecmat3_op.hh.

Vec2 geom::Max	(	const Vec2 &	v1,
		const Vec2 &	v2
	)			[inline]

Definition at line 150 of file vecmat2_op.hh.

Vec4 geom::Min	(	const Vec4 &	v1,
		const Vec4 &	v2
	)			[inline]

returns std::min of each component

Definition at line 137 of file vecmat4_op.hh.

Vec3 geom::Min	(	const Vec3 &	v1,
		const Vec3 &	v2
	)			[inline]

returns std::min of each component

Definition at line 174 of file vecmat3_op.hh.

Vec2 geom::Min	(	const Vec2 &	v1,
		const Vec2 &	v2
	)			[inline]

Definition at line 143 of file vecmat2_op.hh.

Real DLLIMPORT geom::MinDistance	(	const Vec3List &	l1,
		const Vec3List &	l2
	)

returns the minimal distance between the points in two Vec3List

std::vector<unsigned int> DLLIMPORT geom::MinDistanceIndices	(	const Vec3List &	l1,
		const Vec3List &	l2
	)

returns the indices index1, index2 corresponding to the points in the Vec3List l1 and l2 having the minimal distance.

Real DLLIMPORT geom::MinDistanceWithPBC	(	const Vec3List &	l1,
		const Vec3List &	l2,
		Vec3 &	ucell_size
	)

returns the minimal distance between the points in two Vec3List

Real DLLIMPORT geom::Minor	(	const Mat4 &	m,
		unsigned int	i,
		unsigned int	j
	)

Real DLLIMPORT geom::Minor	(	const Mat3 &	m,
		unsigned int	i,
		unsigned int	j
	)

Vec4 geom::Normalize

(

const Vec4 &

v

)

[inline]

Definition at line 81 of file vecmat4_op.hh.

Vec3 geom::Normalize

(

const Vec3 &

v

)

[inline]

Normalize.

Definition at line 75 of file vecmat3_op.hh.

Vec2 geom::Normalize

(

const Vec2 &

v

)

[inline]

Normalize vector.

Definition at line 69 of file vecmat2_op.hh.

Quat DLLIMPORT geom::Normalize

(

const Quat &

q

)

Mat4 DLLIMPORT geom::operator*	(	const Mat4 &	m1,
		const Mat4 &	m2
	)

Vec4 geom::operator*	(	const Mat4 &	m,
		const Vec4 &	v
	)			[inline]

vector matrix multiplication

Definition at line 115 of file vecmat4_op.hh.

Vec4 geom::operator*	(	const Vec4 &	v,
		const Mat4 &	m
	)			[inline]

vector matrix multiplication

Definition at line 105 of file vecmat4_op.hh.

Mat3 geom::operator*	(	const Mat3 &	m1,
		const Mat3 &	m2
	)			[inline]

matrix matrix multiplication

Definition at line 126 of file vecmat3_op.hh.

Vec3 geom::operator*	(	const Mat3 &	m,
		const Vec3 &	v
	)			[inline]

vector matrix multiplication

Definition at line 117 of file vecmat3_op.hh.

Vec3 geom::operator*	(	const Vec3 &	v,
		const Mat3 &	m
	)			[inline]

vector matrix multiplication

Definition at line 108 of file vecmat3_op.hh.

Mat2 geom::operator*	(	const Mat2 &	m1,
		const Mat2 &	m2
	)			[inline]

matrix matrix multiplication

Definition at line 134 of file vecmat2_op.hh.

Vec2 geom::operator*	(	const Mat2 &	m,
		const Vec2 &	v
	)			[inline]

vector matrix multiplication

This corresponds to

|a b| (x) (ax+by) |c d| * (y) =(cx+dy)

Definition at line 113 of file vecmat2_op.hh.

Vec2 geom::operator*	(	const Vec2 &	v,
		const Mat2 &	m
	)			[inline]

vector matrix multiplication

This corresponds to

|a b| (x,y) * |c d| = (ax+cy, bx+dy)

Definition at line 99 of file vecmat2_op.hh.

Vec4 geom::operator/	(	Real	d,
		const Vec4 &	v
	)			[inline]

Definition at line 196 of file vec4.hh.

Vec3 geom::operator/	(	Real	d,
		const Vec3 &	v
	)			[inline]

Definition at line 192 of file vec3.hh.

Vec2 geom::operator/	(	Real	d,
		const Vec2 &	v
	)			[inline]

Definition at line 171 of file vec2.hh.

std::ostream& geom::operator<<	(	std::ostream &	os,
		const Vec4 &	v
	)			[inline]

Definition at line 202 of file vec4.hh.

std::ostream& geom::operator<<	(	std::ostream &	os,
		const Vec3 &	v
	)			[inline]

Definition at line 202 of file vec3.hh.

std::ostream& geom::operator<<	(	std::ostream &	os,
		const Vec2 &	v
	)			[inline]

Definition at line 176 of file vec2.hh.

DLLIMPORT std::ostream& geom::operator<<	(	std::ostream &	str,
		const Quat &	q
	)

DLLEXPORT_OST_GEOM std::ostream& geom::operator<<	(	std::ostream &	os,
		const Mat4 &	m
	)

DLLEXPORT_OST_GEOM std::ostream& geom::operator<<	(	std::ostream &	o,
		const Mat3 &	m
	)

DLLEXPORT_OST_GEOM std::ostream& geom::operator<<	(	std::ostream &	os,
		const Mat2 &	m
	)

DLLEXPORT_OST_GEOM std::ostream& geom::operator<<	(	std::ostream &	s,
		const Line3 &	l
	)

std::ostream& geom::operator<<	(	std::ostream &	os,
		const AlignedCuboid &	c
	)			[inline]

Definition at line 57 of file aligned_cuboid.hh.

bool DLLEXPORT_OST_GEOM geom::operator==	(	const Plane &	p1,
		const Plane &	p2
	)

bool DLLEXPORT_OST_GEOM geom::operator==	(	const Line3 &	l1,
		const Line3 &	l2
	)

bool DLLEXPORT_OST_GEOM geom::operator==	(	const Line2 &	l1,
		const Line2 &	l2
	)

Vec3 DLLIMPORT geom::OrthogonalVector

(

const Vec3 &

axis

)

get arbitrary vector orthogonal to axis

The returned vector is of length 1

int DLLEXPORT_OST_GEOM geom::RelativePosition	(	const Plane &	p,
		const Vec3 &	v,
		Real	ephilon = EPSILON
	)

DLLEXPORT Vec2 geom::Rotate	(	const Vec2 &	v,
		Real	ang
	)

Rotation.

Real DLLIMPORT geom::SignedAngle	(	const Vec3 &	v1,
		const Vec3 &	v2,
		const Vec3 &	ref
	)

Real DLLIMPORT geom::SignedAngle	(	const Vec2 &	v1,
		const Vec2 &	v2
	)

angle beetwen two vectors (honors sign)

DLLEXPORT_OST_GEOM Polygon2 geom::SimplifyPolygon

(

const Polygon2 &

p

)

Quat DLLIMPORT geom::Slerp	(	const Quat &	q0,
		const Quat &	q1,
		Real	t
	)

Mat4 DLLIMPORT geom::Transpose

(

const Mat4 &

m

)

Mat3 DLLIMPORT geom::Transpose

(

const Mat3 &

m

)

Mat2 DLLIMPORT geom::Transpose

(

const Mat2 &

m

)

Transpose.

AlignedCuboid DLLEXPORT_OST_GEOM geom::Union	(	const AlignedCuboid &	lhs,
		const AlignedCuboid &	rhs
	)

Vec3 DLLIMPORT geom::WrapVec3	(	const Vec3 &	v1,
		const Vec3 &	box_center,
		const Vec3 &	ucell_size,
		const Vec3 &	ucell_angles
	)

wraps a vector in a non-rothogonal box with periodic boundaries

Vec3 DLLIMPORT geom::WrapVec3	(	const Vec3 &	v1,
		const Vec3 &	box_center,
		const Vec3 &	ucell_size
	)

wraps a vector in a box with periodic boundaries

Vec3List DLLIMPORT geom::WrapVec3List	(	const Vec3List &	vl,
		const Vec3 &	box_center,
		const Vec3 &	ucell_size,
		const Vec3 &	ucell_angles
	)

wraps all the vectors in a Vec3List in a non-rothogonal box with periodic boundaries

Vec3List DLLIMPORT geom::WrapVec3List	(	const Vec3List &	vl,
		const Vec3 &	box_center,
		const Vec3 &	ucell_size
	)

wraps all the vectors in a Vec3List in a box with periodic boundaries

---

Variable Documentation

const Real EPSILON = 1e-6 [static]

Definition at line 28 of file constants.hh.