numeric::xyzVector< typename > Class Template Reference

xyzVector: Fast (x,y,z)-coordinate numeric vector More...

#include <xyzVector.hh>

Public Types
typedef T	Value
typedef T &	Reference
typedef T const &	ConstReference
typedef T *	Pointer
typedef T const *	ConstPointer
typedef T	value_type
typedef T &	reference
typedef T const &	const_reference
typedef T *	pointer
typedef T const *	const_pointer
typedef void	iterator_category
typedef void	difference_type

Public Member Functions
	xyzVector ()
	Default constructor. More...
	xyzVector (xyzVector const &v)
	Copy constructor. More...
template<typename U >
	xyzVector (xyzVector< U > const &v)
	Copy constructor. More...
	xyzVector (Value const &t)
	Uniform value constructor. More...
	xyzVector (Value const &x_a, Value const &y_a, Value const &z_a)
	Triple value constructor. More...
template<typename U >
	xyzVector (U const *p)
	Pointer to contiguous values constructor. More...
	~xyzVector ()
	Destructor. More...
xyzVector &	operator= (xyzVector const &v)
	Copy assignment. More...
template<typename U >
xyzVector &	operator= (xyzVector< U > const &v)
	Copy assignment. More...
template<typename U >
xyzVector &	operator= (U const *p)
	Assignment from pointer to contiguous values. More...
template<typename U >
xyzVector &	operator+= (xyzVector< U > const &v)
	+= xyzVector More...
template<typename U >
xyzVector &	operator-= (xyzVector< U > const &v)
	-= xyzVector More...
template<typename U >
xyzVector &	scaled_assign (Value const &t, xyzVector< U > const &v)
	Assign Value * xyzVector. More...
template<typename U >
xyzVector &	scaled_add (Value const &t, xyzVector< U > const &v)
	Add Value * xyzVector. More...
template<typename U >
xyzVector &	scaled_sub (Value const &t, xyzVector< U > const &v)
	Subtract Value * xyzVector. More...
xyzVector &	operator= (Value const &t)
	= Value More...
xyzVector &	operator+= (Value const &t)
	+= Value More...
xyzVector &	operator-= (Value const &t)
	-= Value More...
xyzVector &	operator*= (Value const &t)
	*= Value More...
xyzVector &	operator/= (Value const &t)
	/= Value More...
xyzVector &	assign (Value const &x_a, Value const &y_a, Value const &z_a)
	Triple value assignment. More...
std::string	to_string () const
	to_string, useful for utility exits More...
void	show (std::ostream &output=std::cout) const
	Show. More...
xyzVector &	clear ()
	Clear. More...
xyzVector &	zero ()
	Zero. More...
xyzVector &	negate ()
	Negate. More...
xyzVector	operator- () const
	-xyzVector (negated copy) More...
xyzVector	negated () const
	Negated copy. More...
void	negated (xyzVector &a) const
	Negated: Return via argument (slightly faster) More...
xyzVector &	min (xyzVector const &v)
	Set minimum coordinates wrt another xyzVector. More...
xyzVector &	max (xyzVector const &v)
	Set maximum coordinates wrt another xyzVector. More...
xyzVector &	normalize ()
	Normalize. More...
T	minimum_value () const
	get the lowest of the three values in the vector More...
T	maximum_value () const
	get the highest of the three values in the vector More...
void	normalized (xyzVector &a) const
	Normalized. More...
xyzVector &	normalize_or_zero ()
	Normalize: zero xyzVector if length is zero. More...
void	normalized_or_zero (xyzVector &a) const
	Normalized: zero xyzVector if length is zero. More...
xyzVector &	normalize_any ()
	Normalize: arbitrary normalized xyzVector if length is zero. More...
void	normalized_any (xyzVector &a) const
	Normalized: arbitrary normalized xyzVector if length is zero. More...
xyzVector &	normalize (Value const &length_a)
	Normalize to a length. More...
void	normalized (Value const &length_a, xyzVector &a) const
	Normalized to a length. More...
xyzVector &	normalize_or_zero (Value const &length_a)
	Normalize to a length: zero xyzVector if length is zero. More...
void	normalized_or_zero (Value const &length_a, xyzVector &a) const
	Normalized to a length: zero xyzVector if length is zero. More...
xyzVector &	normalize_any (Value const &length_a)
	Normalize to a length: arbitrary normalized xyzVector if length is zero. More...
void	normalized_any (Value const &length_a, xyzVector &a) const
	Normalized to a length: arbitrary normalized xyzVector if length is zero. More...
xyzVector	normalized () const
	Normalized copy. More...
xyzVector	normalized_or_zero () const
	Normalized copy: Zero xyzVector if length is zero. More...
xyzVector	normalized_any () const
	Normalized copy: Arbitrary normalized xyzVector if length is zero. More...
xyzVector	normalized (Value const &length_a) const
	Normalized to a length copy. More...
xyzVector	normalized_or_zero (Value const &length_a) const
	Normalized to a length copy: Zero xyzVector if length is zero. More...
xyzVector	normalized_any (Value const &length_a) const
	Normalized to a length copy: Arbitrary normalized xyzVector if length is zero. More...
xyzVector &	project_normal (xyzVector const &v)
	Project normal. More...
xyzVector	projected_normal (xyzVector const &v) const
	Projected normal copy. More...
void	projected_normal (xyzVector const &v, xyzVector &a) const
	Projected normal. More...
xyzVector &	project_parallel (xyzVector const &v)
	Project parallel. More...
xyzVector	projected_parallel (xyzVector const &v) const
	Projected parallel copy. More...
void	projected_parallel (xyzVector const &v, xyzVector &a)
	Projected parallel. More...
Value	distance (xyzVector const &v) const
	Distance. More...
Value	distance_squared (xyzVector const &v) const
	Distance. More...
Value	dot (xyzVector const &v) const
	Distance squared. More...
Value	dot_product (xyzVector const &v) const
	Dot product. More...
Value	inner_product (xyzVector const &v) const
	Inner product ( == dot product ) More...
xyzVector	cross (xyzVector const &v) const
	Cross product. More...
xyzVector	cross_product (xyzVector const &v) const
	Cross product. More...
bool	is_zero () const
	Is zero? More...
bool	is_normalized () const
	Is exactly normalized? More...
bool	is_normalized (Value const &tol) const
	Is normalized to within a tolerance? More...
bool	is_unit () const
	Is exactly a unit vector? More...
bool	is_unit (Value const &tol) const
	Is a unit vector to within a tolerance? More...
Value const &	x () const
	Value x const. More...
Value &	x ()
	Value x. More...
Value const &	y () const
	Value y const. More...
Value &	y ()
	Value y. More...
Value const &	z () const
	Value z const. More...
Value &	z ()
	Value z. More...
Value	length () const
	Length. More...
Value	length_squared () const
	Length squared. More...
Value	norm () const
	Norm. More...
Value	norm_squared () const
	Norm squared. More...
Value	magnitude () const
	Magnitude. More...
Value	magnitude_squared () const
	Magnitude squared. More...
void	x (Value const &x_a)
	x assignment More...
void	y (Value const &y_a)
	y assignment More...
void	z (Value const &z_a)
	z assignment More...
Value const &	at (int const i) const
	xyzVector.at: 0-based index with bounds checking More...
Value &	at (int const i)
	xyzVector.at: 0-based index with bounds checking More...
Value const &	operator[] (int const i) const
	xyzVector[ i ] const: 0-based index More...
Value &	operator[] (int const i)
	xyzVector[ i ]: 0-based index More...
Value const &	operator() (int const i) const
	xyzVector( i ) const: 1-based index More...
Value &	operator() (int const i)
	xyzVector( i ): 1-based index More...
bool	equal_length (xyzVector const &v)
	Equal length? More...
bool	not_equal_length (xyzVector const &v)
	Not equal length? More...
bool	longer (xyzVector const &v)
	Longer? More...
bool	longer_or_equal (xyzVector const &v)
	Longer or equal length? More...
bool	shorter (xyzVector const &v)
	Shorter? More...
bool	shorter_or_equal (xyzVector const &v)
	Shorter or equal length? More...

Static Private Member Functions
static Value	square (Value const &t)
	square( t ) == t * t More...

Private Attributes
Value	x_
	Coordinates of the 3 coordinate vector. More...
Value	y_
Value	z_

Friends
template<typename >
class	xyzVector
template<typename >
class	xyzMatrix
xyzVector< T >	operator* (xyzMatrix< T > const &m, xyzVector< T > const &v)
	xyzMatrix * xyzVector More...
xyzVector< T >	product (xyzMatrix< T > const &m, xyzVector< T > const &v)
	xyzMatrix * xyzVector product More...
xyzVector< T > &	inplace_product (xyzMatrix< T > const &m, xyzVector< T > &v)
	xyzMatrix * xyzVector in-place product More...
xyzVector< T >	transpose_product (xyzMatrix< T > const &m, xyzVector< T > const &v)
	xyzMatrix^T * xyzVector product More...
xyzVector< T > &	inplace_transpose_product (xyzMatrix< T > const &m, xyzVector< T > &v)
	xyzMatrix^T * xyzVector in-place transpose product More...
xyzMatrix< T >	outer_product (xyzVector< T > const &a, xyzVector< T > const &b)
	xyzVector xyzVector outer product More...
xyzMatrix< T >	projection_matrix (xyzVector< T > const &v)
	geometric center More...
xyzMatrix< T >	rotation_matrix (xyzVector< T > const &axis, T const &theta)
	Rotation matrix for rotation about an axis by an angle in radians. More...
xyzVector	operator+ (xyzVector const &a, xyzVector const &b)
	xyzVector + xyzVector More...
xyzVector	operator+ (xyzVector const &v, Value const &t)
	xyzVector + Value More...
xyzVector	operator+ (Value const &t, xyzVector const &v)
	Value + xyzVector. More...
xyzVector	operator- (xyzVector const &a, xyzVector const &b)
	xyzVector - xyzVector More...
xyzVector	operator- (xyzVector const &v, Value const &t)
	xyzVector - Value More...
xyzVector	operator- (Value const &t, xyzVector const &v)
	Value - xyzVector. More...
xyzVector	operator* (xyzVector const &v, Value const &t)
	xyzVector * Value More...
xyzVector	operator* (Value const &t, xyzVector const &v)
	Value * xyzVector. More...
xyzVector	operator/ (xyzVector const &v, Value const &t)
	xyzVector / Value More...
void	add (xyzVector const &a, xyzVector const &b, xyzVector &r)
	Add: xyzVector + xyzVector. More...
void	add (xyzVector const &v, Value const &t, xyzVector &r)
	Add: xyzVector + Value. More...
void	add (Value const &t, xyzVector const &v, xyzVector &r)
	Add: Value + xyzVector. More...
void	subtract (xyzVector const &a, xyzVector const &b, xyzVector &r)
	Subtract: xyzVector - xyzVector. More...
void	subtract (xyzVector const &v, Value const &t, xyzVector &r)
	Subtract: xyzVector - Value. More...
void	subtract (Value const &t, xyzVector const &v, xyzVector &r)
	Subtract: Value - xyzVector. More...
void	multiply (xyzVector const &v, Value const &t, xyzVector &r)
	Multiply: xyzVector * Value. More...
void	multiply (Value const &t, xyzVector const &v, xyzVector &r)
	Multiply: Value * xyzVector. More...
void	divide (xyzVector const &v, Value const &t, xyzVector &r)
	Divide: xyzVector / Value. More...
xyzVector	min (xyzVector const &a, xyzVector const &b)
	xyzVector with min coordinates of two xyzVectors More...
xyzVector	max (xyzVector const &a, xyzVector const &b)
	xyzVector with max coordinates of two xyzVectors More...
Value	dot (xyzVector const &a, xyzVector const &b)
	Dot product. More...
Value	dot_product (xyzVector const &a, xyzVector const &b)
	Dot product. More...
Value	inner_product (xyzVector const &a, xyzVector const &b)
	Inner product ( == dot product ) More...
xyzVector	cross (xyzVector const &a, xyzVector const &b)
	Cross product. More...
xyzVector	cross_product (xyzVector const &a, xyzVector const &b)
	Cross product. More...
void	cross (xyzVector const &a, xyzVector const &b, xyzVector &c)
	Cross product: Return via argument (slightly faster) More...
void	cross_product (xyzVector const &a, xyzVector const &b, xyzVector &c)
	Cross product: Return via argument (slightly faster) More...
xyzVector	midpoint (xyzVector const &a, xyzVector const &b)
	Midpoint of 2 xyzVectors. More...
void	midpoint (xyzVector const &a, xyzVector const &b, xyzVector &m)
	Midpoint of 2 xyzVectors: Return via argument (slightly faster) More...
xyzVector	center (xyzVector const &a, xyzVector const &b)
	Center of 2 xyzVectors. More...
void	center (xyzVector const &a, xyzVector const &b, xyzVector &m)
	Center of 2 xyzVectors: Return via argument (slightly faster) More...
xyzVector	center (xyzVector const &a, xyzVector const &b, xyzVector const &c)
	Center of 3 xyzVectors. More...
void	center (xyzVector const &a, xyzVector const &b, xyzVector const &c, xyzVector &m)
	Center of 3 xyzVectors: Return via argument (slightly faster) More...
xyzVector	center (xyzVector const &a, xyzVector const &b, xyzVector const &c, xyzVector const &d)
	Center of 4 xyzVectors. More...
void	center (xyzVector const &a, xyzVector const &b, xyzVector const &c, xyzVector const &d, xyzVector &m)
	Center of 4 xyzVectors: Return via argument (slightly faster) More...
Value	angle_of (xyzVector const &a, xyzVector const &b)
	Angle between two vectors (in radians on [ 0, pi ]) More...
Value	angle_of (xyzVector const &a, xyzVector const &b, xyzVector const &c)
	Angle formed by three consecutive points (in radians on [ 0, pi ]) More...
Value	cos_of (xyzVector const &a, xyzVector const &b)
	Cosine of angle between two vectors. More...
Value	cos_of (xyzVector const &a, xyzVector const &b, xyzVector const &c)
	Cosine of angle formed by three consecutive points. More...
Value	sin_of (xyzVector const &a, xyzVector const &b)
	Sine of angle between two vectors. More...
Value	sin_of (xyzVector const &a, xyzVector const &b, xyzVector const &c)
	Sine of angle formed by three consecutive points. More...
bool	operator== (xyzVector const &a, xyzVector const &b)
	xyzVector == xyzVector More...
bool	operator!= (xyzVector const &a, xyzVector const &b)
	xyzVector != xyzVector More...
bool	operator< (xyzVector const &a, xyzVector const &b)
	xyzVector < xyzVector More...
bool	operator<= (xyzVector const &a, xyzVector const &b)
	xyzVector <= xyzVector More...
bool	operator>= (xyzVector const &a, xyzVector const &b)
	xyzVector >= xyzVector More...
bool	operator> (xyzVector const &a, xyzVector const &b)
	xyzVector > xyzVector More...
bool	operator== (xyzVector const &v, Value const &t)
	xyzVector == Value More...
bool	operator!= (xyzVector const &v, Value const &t)
	xyzVector != Value More...
bool	operator< (xyzVector const &v, Value const &t)
	xyzVector < Value More...
bool	operator<= (xyzVector const &v, Value const &t)
	xyzVector <= Value More...
bool	operator>= (xyzVector const &v, Value const &t)
	xyzVector >= Value More...
bool	operator> (xyzVector const &v, Value const &t)
	xyzVector > Value More...
bool	operator== (Value const &t, xyzVector const &v)
	Value == xyzVector. More...
bool	operator!= (Value const &t, xyzVector const &v)
	Value != xyzVector. More...
bool	operator< (Value const &t, xyzVector const &v)
	Value < xyzVector. More...
bool	operator<= (Value const &t, xyzVector const &v)
	Value <= xyzVector. More...
bool	operator>= (Value const &t, xyzVector const &v)
	Value >= xyzVector. More...
bool	operator> (Value const &t, xyzVector const &v)
	Value > xyzVector. More...
bool	equal_length (xyzVector const &a, xyzVector const &b)
	Equal length? More...
bool	not_equal_length (xyzVector const &a, xyzVector const &b)
	Not equal length? More...
template<typename U >
platform::Size	hash_value (xyzVector< U > const &v)
	Hashing of coords using boost::hash. More...

Detailed Description

template<typename>
class numeric::xyzVector< typename >

xyzVector: Fast (x,y,z)-coordinate numeric vector

Member Typedef Documentation

template<typename >

typedef T const* numeric::xyzVector< typename >::const_pointer

template<typename >

typedef T const& numeric::xyzVector< typename >::const_reference

template<typename >

typedef T const* numeric::xyzVector< typename >::ConstPointer

template<typename >

typedef T const& numeric::xyzVector< typename >::ConstReference

template<typename >

typedef void numeric::xyzVector< typename >::difference_type

template<typename >

typedef void numeric::xyzVector< typename >::iterator_category

template<typename >

typedef T* numeric::xyzVector< typename >::Pointer

template<typename >

typedef T* numeric::xyzVector< typename >::pointer

template<typename >

typedef T& numeric::xyzVector< typename >::Reference

template<typename >

typedef T& numeric::xyzVector< typename >::reference

template<typename >

typedef T numeric::xyzVector< typename >::Value

template<typename >

typedef T numeric::xyzVector< typename >::value_type

Constructor & Destructor Documentation

template<typename >

numeric::xyzVector< typename >::xyzVector ( )

inline

Default constructor.

Note

Values are uninitialized for efficiency

Referenced by numeric::xyzVector< T >::cross(), numeric::xyzVector< T >::cross_product(), numeric::xyzVector< T >::negated(), numeric::xyzVector< T >::normalized(), numeric::xyzVector< T >::normalized_any(), numeric::xyzVector< T >::normalized_or_zero(), numeric::xyzVector< T >::operator-(), numeric::xyzVector< T >::projected_normal(), and numeric::xyzVector< T >::projected_parallel().

template<typename >

numeric::xyzVector< typename >::xyzVector ( xyzVector< typename > const &  v )

inline

Copy constructor.

template<typename >

template<typename U >

numeric::xyzVector< typename >::xyzVector ( xyzVector< U > const &  v )

inline

Copy constructor.

template<typename >

numeric::xyzVector< typename >::xyzVector ( Value const &  t )

inlineexplicit

Uniform value constructor.

template<typename >

numeric::xyzVector< typename >::xyzVector ( Value const &  x_a, Value const &  y_a, Value const &  z_a  )

inline

Triple value constructor.

template<typename >

template<typename U >

numeric::xyzVector< typename >::xyzVector ( U const *  p )

inlineexplicit

Pointer to contiguous values constructor.

Note

U must be assignable to a Value

Warning

No way to check that argument points to three values

Argument missing an & operator will quietly call the uniform value constructor

template<typename >

numeric::xyzVector< typename >::~xyzVector ( )

inline

Destructor.

Member Function Documentation

template<typename >

xyzVector& numeric::xyzVector< typename >::assign ( Value const &  x_a, Value const &  y_a, Value const &  z_a  )

inline

Triple value assignment.

Referenced by numeric::Quaternion< T >::axis(), and numeric::crick_equations::XYZ_BUNDLE().

template<typename >

Value const& numeric::xyzVector< typename >::at ( int const  i ) const

inline

xyzVector.at: 0-based index with bounds checking

template<typename >

Value& numeric::xyzVector< typename >::at ( int const  i )

inline

xyzVector.at: 0-based index with bounds checking

template<typename >

xyzVector& numeric::xyzVector< typename >::clear ( )

inline

Clear.

template<typename >

xyzVector numeric::xyzVector< typename >::cross ( xyzVector< typename > const &  v ) const

inline

Cross product.

Referenced by numeric::xyzTransform< numeric::Real >::align(), numeric::deriv::distance_f1_f2_deriv(), numeric::HomogeneousTransform< double >::HomogeneousTransform(), and numeric::xyzTransform< numeric::Real >::intersect3D_2Planes().

template<typename >

xyzVector numeric::xyzVector< typename >::cross_product ( xyzVector< typename > const &  v ) const

inline

Cross product.

template<typename >

Value numeric::xyzVector< typename >::distance ( xyzVector< typename > const &  v ) const

inline

Distance.

template<typename >

Value numeric::xyzVector< typename >::distance_squared ( xyzVector< typename > const &  v ) const

inline

Distance.

Distance squared

Referenced by numeric::xyzTransform< numeric::Real >::approx_lever_distance(), numeric::xyzTransform< numeric::Real >::distance_squared(), and numeric::HomogeneousTransform< double >::HomogeneousTransform().

template<typename >

Value numeric::xyzVector< typename >::dot ( xyzVector< typename > const &  v ) const

inline

Distance squared.

Dot product

Referenced by numeric::HomogeneousTransform< double >::HomogeneousTransform(), numeric::xyzVector< T >::project_normal(), numeric::xyzVector< T >::project_parallel(), numeric::xyzVector< T >::projected_normal(), numeric::xyzVector< T >::projected_parallel(), numeric::xyzTransform< numeric::Real >::rotation_axis(), and numeric::HomogeneousTransform< double >::to_local_coordinate().

template<typename >

Value numeric::xyzVector< typename >::dot_product ( xyzVector< typename > const &  v ) const

inline

Dot product.

template<typename >

bool numeric::xyzVector< typename >::equal_length ( xyzVector< typename > const &  v )

inline

Equal length?

template<typename >

Value numeric::xyzVector< typename >::inner_product ( xyzVector< typename > const &  v ) const

inline

Inner product ( == dot product )

template<typename >

bool numeric::xyzVector< typename >::is_normalized ( ) const

inline

Is exactly normalized?

Referenced by numeric::BodyPosition< typename >::BodyPosition().

template<typename >

bool numeric::xyzVector< typename >::is_normalized ( Value const &  tol ) const

inline

Is normalized to within a tolerance?

template<typename >

bool numeric::xyzVector< typename >::is_unit ( ) const

inline

Is exactly a unit vector?

Referenced by numeric::ccd_angle().

template<typename >

bool numeric::xyzVector< typename >::is_unit ( Value const &  tol ) const

inline

Is a unit vector to within a tolerance?

template<typename >

bool numeric::xyzVector< typename >::is_zero ( ) const

inline

Is zero?

template<typename >

Value numeric::xyzVector< typename >::length ( ) const

inline

Length.

Referenced by numeric::deriv::angle_p1_deriv(), numeric::deriv::angle_p1_p2_p3_deriv(), numeric::deriv::angle_p2_deriv(), numeric::ccd_angle(), numeric::deriv::dihedral_p1_cosine_deriv_first(), numeric::deriv::dihedral_p2_cosine_deriv_first(), numeric::deriv::distance_f1_f2_deriv(), numeric::xyzVector< T >::normalize(), numeric::xyzVector< T >::normalize_any(), numeric::xyzVector< T >::normalize_or_zero(), numeric::xyzVector< T >::normalized(), numeric::xyzVector< T >::normalized_any(), numeric::xyzVector< T >::normalized_or_zero(), numeric::operator<<(), and numeric::deriv::p1_theta_deriv().

template<typename >

Value numeric::xyzVector< typename >::length_squared ( ) const

inline

Length squared.

Referenced by numeric::xyzVector< T >::equal_length(), numeric::xyzVector< T >::is_normalized(), numeric::xyzVector< T >::is_unit(), numeric::xyzVector< T >::longer(), numeric::xyzVector< T >::longer_or_equal(), numeric::xyzVector< T >::not_equal_length(), numeric::projection_matrix(), numeric::xyzVector< T >::shorter(), and numeric::xyzVector< T >::shorter_or_equal().

template<typename >

bool numeric::xyzVector< typename >::longer ( xyzVector< typename > const &  v )

inline

Longer?

template<typename >

bool numeric::xyzVector< typename >::longer_or_equal ( xyzVector< typename > const &  v )

inline

Longer or equal length?

template<typename >

Value numeric::xyzVector< typename >::magnitude ( ) const

inline

Magnitude.

Referenced by numeric::rotation_matrix().

template<typename >

Value numeric::xyzVector< typename >::magnitude_squared ( ) const

inline

Magnitude squared.

Referenced by numeric::closest_point_on_line().

template<typename >

xyzVector& numeric::xyzVector< typename >::max ( xyzVector< typename > const &  v )

inline

Set maximum coordinates wrt another xyzVector.

template<typename >

T numeric::xyzVector< typename >::maximum_value ( ) const

inline

get the highest of the three values in the vector

Referenced by numeric::rgb_to_hsv().

template<typename >

xyzVector& numeric::xyzVector< typename >::min ( xyzVector< typename > const &  v )

inline

Set minimum coordinates wrt another xyzVector.

template<typename >

T numeric::xyzVector< typename >::minimum_value ( ) const

inline

get the lowest of the three values in the vector

Referenced by numeric::rgb_to_hsv().

template<typename >

xyzVector& numeric::xyzVector< typename >::negate ( )

inline

Negate.

template<typename >

xyzVector numeric::xyzVector< typename >::negated ( ) const

inline

Negated copy.

template<typename >

void numeric::xyzVector< typename >::negated ( xyzVector< typename > &  a ) const

inline

Negated: Return via argument (slightly faster)

template<typename >

Value numeric::xyzVector< typename >::norm ( ) const

inline

Norm.

template<typename >

Value numeric::xyzVector< typename >::norm_squared ( ) const

inline

Norm squared.

template<typename >

xyzVector& numeric::xyzVector< typename >::normalize ( )

inline

Normalize.

Referenced by numeric::alignVectorSets(), numeric::xyzTransform< numeric::Real >::from_four_points(), and numeric::HomogeneousTransform< double >::HomogeneousTransform().

template<typename >

xyzVector& numeric::xyzVector< typename >::normalize ( Value const &  length_a )

inline

Normalize to a length.

template<typename >

xyzVector& numeric::xyzVector< typename >::normalize_any ( )

inline

Normalize: arbitrary normalized xyzVector if length is zero.

template<typename >

xyzVector& numeric::xyzVector< typename >::normalize_any ( Value const &  length_a )

inline

Normalize to a length: arbitrary normalized xyzVector if length is zero.

template<typename >

xyzVector& numeric::xyzVector< typename >::normalize_or_zero ( )

inline

Normalize: zero xyzVector if length is zero.

Referenced by numeric::Quaternion< T >::axis().

template<typename >

xyzVector& numeric::xyzVector< typename >::normalize_or_zero ( Value const &  length_a )

inline

Normalize to a length: zero xyzVector if length is zero.

template<typename >

void numeric::xyzVector< typename >::normalized ( xyzVector< typename > &  a ) const

inline

Normalized.

Referenced by numeric::xyzTransform< numeric::Real >::align(), numeric::ccd_angle(), numeric::deriv::p1_theta_deriv(), numeric::random::random_point_on_unit_sphere(), and numeric::rotation_matrix().

template<typename >

void numeric::xyzVector< typename >::normalized ( Value const &  length_a, xyzVector< typename > &  a  ) const

inline

Normalized to a length.

template<typename >

xyzVector numeric::xyzVector< typename >::normalized ( ) const

inline

Normalized copy.

template<typename >

xyzVector numeric::xyzVector< typename >::normalized ( Value const &  length_a ) const

inline

Normalized to a length copy.

template<typename >

void numeric::xyzVector< typename >::normalized_any ( xyzVector< typename > &  a ) const

inline

Normalized: arbitrary normalized xyzVector if length is zero.

template<typename >

void numeric::xyzVector< typename >::normalized_any ( Value const &  length_a, xyzVector< typename > &  a  ) const

inline

Normalized to a length: arbitrary normalized xyzVector if length is zero.

template<typename >

xyzVector numeric::xyzVector< typename >::normalized_any ( ) const

inline

Normalized copy: Arbitrary normalized xyzVector if length is zero.

template<typename >

xyzVector numeric::xyzVector< typename >::normalized_any ( Value const &  length_a ) const

inline

Normalized to a length copy: Arbitrary normalized xyzVector if length is zero.

template<typename >

void numeric::xyzVector< typename >::normalized_or_zero ( xyzVector< typename > &  a ) const

inline

Normalized: zero xyzVector if length is zero.

template<typename >

void numeric::xyzVector< typename >::normalized_or_zero ( Value const &  length_a, xyzVector< typename > &  a  ) const

inline

Normalized to a length: zero xyzVector if length is zero.

template<typename >

xyzVector numeric::xyzVector< typename >::normalized_or_zero ( ) const

inline

Normalized copy: Zero xyzVector if length is zero.

template<typename >

xyzVector numeric::xyzVector< typename >::normalized_or_zero ( Value const &  length_a ) const

inline

Normalized to a length copy: Zero xyzVector if length is zero.

template<typename >

bool numeric::xyzVector< typename >::not_equal_length ( xyzVector< typename > const &  v )

inline

Not equal length?

template<typename >

Value const& numeric::xyzVector< typename >::operator() ( int const  i ) const

inline

xyzVector( i ) const: 1-based index

template<typename >

Value& numeric::xyzVector< typename >::operator() ( int const  i )

inline

xyzVector( i ): 1-based index

template<typename >

xyzVector& numeric::xyzVector< typename >::operator*= ( Value const &  t )

inline

*= Value

template<typename >

template<typename U >

xyzVector& numeric::xyzVector< typename >::operator+= ( xyzVector< U > const &  v )

inline

+= xyzVector

template<typename >

xyzVector& numeric::xyzVector< typename >::operator+= ( Value const &  t )

inline

+= Value

template<typename >

xyzVector numeric::xyzVector< typename >::operator- ( ) const

inline

-xyzVector (negated copy)

template<typename >

template<typename U >

xyzVector& numeric::xyzVector< typename >::operator-= ( xyzVector< U > const &  v )

inline

-= xyzVector

template<typename >

xyzVector& numeric::xyzVector< typename >::operator-= ( Value const &  t )

inline

-= Value

template<typename >

xyzVector& numeric::xyzVector< typename >::operator/= ( Value const &  t )

inline

/= Value

template<typename >

xyzVector& numeric::xyzVector< typename >::operator= ( xyzVector< typename > const &  v )

inline

Copy assignment.

template<typename >

template<typename U >

xyzVector& numeric::xyzVector< typename >::operator= ( xyzVector< U > const &  v )

inline

Copy assignment.

template<typename >

template<typename U >

xyzVector& numeric::xyzVector< typename >::operator= ( U const *  p )

inline

Assignment from pointer to contiguous values.

Warning

No way to check that argument points to three values

template<typename >

xyzVector& numeric::xyzVector< typename >::operator= ( Value const &  t )

inline

= Value

template<typename >

Value const& numeric::xyzVector< typename >::operator[] ( int const  i ) const

inline

xyzVector[ i ] const: 0-based index

template<typename >

Value& numeric::xyzVector< typename >::operator[] ( int const  i )

inline

xyzVector[ i ]: 0-based index

template<typename >

xyzVector& numeric::xyzVector< typename >::project_normal ( xyzVector< typename > const &  v )

inline

Project normal.

Note

This vector projected normally onto input vector

Not meaningful when v == 0

template<typename >

xyzVector& numeric::xyzVector< typename >::project_parallel ( xyzVector< typename > const &  v )

inline

Project parallel.

Note

This vector projected in direction of input vector

Not meaningful when v == 0

template<typename >

xyzVector numeric::xyzVector< typename >::projected_normal ( xyzVector< typename > const &  v ) const

inline

Projected normal copy.

Note

Copy of this vector projected normally onto input vector

Not meaningful when v == 0

template<typename >

void numeric::xyzVector< typename >::projected_normal ( xyzVector< typename > const &  v, xyzVector< typename > &  a  ) const

inline

Projected normal.

Note

Copy of this vector projected normally onto first input vector

Not meaningful when v == 0

template<typename >

xyzVector numeric::xyzVector< typename >::projected_parallel ( xyzVector< typename > const &  v ) const

inline

Projected parallel copy.

Note

Copy of this vector projected in direction of input vector

Not meaningful when v == 0

template<typename >

void numeric::xyzVector< typename >::projected_parallel ( xyzVector< typename > const &  v, xyzVector< typename > &  a  )

inline

Projected parallel.

Note

Copy of this vector projected in direction of first input vector

Not meaningful when v == 0

template<typename >

template<typename U >

xyzVector& numeric::xyzVector< typename >::scaled_add ( Value const &  t, xyzVector< U > const &  v  )

inline

Add Value * xyzVector.

Note

Avoids temporary of += Value * xyzVector

template<typename >

template<typename U >

xyzVector& numeric::xyzVector< typename >::scaled_assign ( Value const &  t, xyzVector< U > const &  v  )

inline

Assign Value * xyzVector.

Note

Avoids temporary of = Value * xyzVector

template<typename >

template<typename U >

xyzVector& numeric::xyzVector< typename >::scaled_sub ( Value const &  t, xyzVector< U > const &  v  )

inline

Subtract Value * xyzVector.

Note

Avoids temporary of -= Value * xyzVector

template<typename >

bool numeric::xyzVector< typename >::shorter ( xyzVector< typename > const &  v )

inline

Shorter?

template<typename >

bool numeric::xyzVector< typename >::shorter_or_equal ( xyzVector< typename > const &  v )

inline

Shorter or equal length?

template<typename >

void numeric::xyzVector< typename >::show ( std::ostream &  output = std::cout ) const

inline

Show.

template<typename >

static Value numeric::xyzVector< typename >::square ( Value const &  t )

inlinestaticprivate

square( t ) == t * t

Referenced by numeric::xyzVector< T >::distance(), and numeric::xyzVector< T >::distance_squared().

template<typename >

std::string numeric::xyzVector< typename >::to_string ( ) const

inline

to_string, useful for utility exits

template<typename >

Value const& numeric::xyzVector< typename >::x ( ) const

inline

Value x const.

Referenced by numeric::geometry::hashing::SixDCoordinateBinner::bin6(), numeric::geometry::hashing::xyzStripeHash::clash(), numeric::geometry::hashing::xyzStripeHash::clash_amount(), numeric::geometry::hashing::xyzStripeHash::clash_check_ball(), numeric::geometry::hashing::xyzStripeHash::clash_not_resid(), numeric::geometry::hashing::xyzStripeHash::clash_raw(), numeric::geometry::hashing::xyzStripeHash::debug_pdb(), numeric::deserialize(), numeric::geometry::hashing::xyzStripeHash::fill_pairs(), numeric::EulerAngles< typename >::from_degrees(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::xyzTransform< numeric::Real >::hash64(), numeric::HomogeneousTransform< double >::HomogeneousTransform(), numeric::hsv_to_rgb(), numeric::geometry::hashing::xyzStripeHash::init(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::init(), numeric::xyzTransform< numeric::Real >::intersect3D_2Planes(), numeric::geometry::hashing::xyzStripeHash::nbcount(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::nbcount(), numeric::geometry::hashing::xyzStripeHash::nbcount_raw(), numeric::HomogeneousTransform< double >::operator*(), numeric::operator<<(), numeric::operator>>(), numeric::principal_components_and_eigenvalues(), basic::sampling::orientations::Quaternion::PrintEuler(), numeric::xyzTransform< numeric::Real >::px(), numeric::rgb_to_hsv(), numeric::xyzTransform< numeric::Real >::rt6(), numeric::serialize(), numeric::HomogeneousTransform< double >::set_point(), numeric::HomogeneousTransform< double >::set_transform(), numeric::spherical_to_xyz(), numeric::geometry::hashing::xyzStripeHash::translation_real(), numeric::truncate_and_serialize_xyz_vector(), numeric::geometry::hashing::xyzStripeHash::visit(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::visit(), numeric::geometry::hashing::xyzStripeHash::visit_lax(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::visit_lax(), numeric::xyzTransform< numeric::Real >::x(), numeric::crick_equations::XYZ_BUNDLE(), and numeric::xyz_to_spherical().

template<typename >

Value& numeric::xyzVector< typename >::x ( )

inline

Value x.

template<typename >

void numeric::xyzVector< typename >::x ( Value const &  x_a )

inline

x assignment

template<typename >

Value const& numeric::xyzVector< typename >::y ( ) const

inline

Value y const.

Referenced by numeric::geometry::hashing::SixDCoordinateBinner::bin6(), numeric::geometry::hashing::xyzStripeHash::clash(), numeric::geometry::hashing::xyzStripeHash::clash_amount(), numeric::geometry::hashing::xyzStripeHash::clash_check_ball(), numeric::geometry::hashing::xyzStripeHash::clash_not_resid(), numeric::geometry::hashing::xyzStripeHash::clash_raw(), numeric::geometry::hashing::xyzStripeHash::debug_pdb(), numeric::deserialize(), numeric::geometry::hashing::xyzStripeHash::fill_pairs(), numeric::EulerAngles< typename >::from_degrees(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::xyzTransform< numeric::Real >::hash64(), numeric::HomogeneousTransform< double >::HomogeneousTransform(), numeric::hsv_to_rgb(), numeric::geometry::hashing::xyzStripeHash::init(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::init(), numeric::xyzTransform< numeric::Real >::intersect3D_2Planes(), numeric::geometry::hashing::xyzStripeHash::nbcount(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::nbcount(), numeric::geometry::hashing::xyzStripeHash::nbcount_raw(), numeric::HomogeneousTransform< double >::operator*(), numeric::operator>>(), numeric::principal_components_and_eigenvalues(), basic::sampling::orientations::Quaternion::PrintEuler(), numeric::xyzTransform< numeric::Real >::py(), numeric::rgb_to_hsv(), numeric::xyzTransform< numeric::Real >::rt6(), numeric::serialize(), numeric::HomogeneousTransform< double >::set_point(), numeric::HomogeneousTransform< double >::set_transform(), numeric::spherical_to_xyz(), numeric::geometry::hashing::xyzStripeHash::translation_real(), numeric::truncate_and_serialize_xyz_vector(), numeric::geometry::hashing::xyzStripeHash::visit(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::visit(), numeric::geometry::hashing::xyzStripeHash::visit_lax(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::visit_lax(), numeric::crick_equations::XYZ_BUNDLE(), numeric::xyz_to_spherical(), and numeric::xyzTransform< numeric::Real >::y().

template<typename >

Value& numeric::xyzVector< typename >::y ( )

inline

Value y.

template<typename >

void numeric::xyzVector< typename >::y ( Value const &  y_a )

inline

y assignment

template<typename >

Value const& numeric::xyzVector< typename >::z ( ) const

inline

Value z const.

Referenced by numeric::geometry::hashing::SixDCoordinateBinner::bin6(), numeric::geometry::hashing::xyzStripeHash::clash(), numeric::geometry::hashing::xyzStripeHash::clash_amount(), numeric::geometry::hashing::xyzStripeHash::clash_check_ball(), numeric::geometry::hashing::xyzStripeHash::clash_not_resid(), numeric::geometry::hashing::xyzStripeHash::clash_raw(), numeric::geometry::hashing::xyzStripeHash::debug_pdb(), numeric::deserialize(), numeric::geometry::hashing::xyzStripeHash::fill_pairs(), numeric::EulerAngles< typename >::from_degrees(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::xyzTransform< numeric::Real >::hash64(), numeric::HomogeneousTransform< double >::HomogeneousTransform(), numeric::hsv_to_rgb(), numeric::geometry::hashing::xyzStripeHash::init(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::init(), numeric::xyzTransform< numeric::Real >::intersect3D_2Planes(), numeric::geometry::hashing::xyzStripeHash::nbcount(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::nbcount(), numeric::geometry::hashing::xyzStripeHash::nbcount_raw(), numeric::HomogeneousTransform< double >::operator*(), numeric::operator>>(), numeric::principal_components_and_eigenvalues(), basic::sampling::orientations::Quaternion::PrintEuler(), numeric::xyzTransform< numeric::Real >::pz(), numeric::rgb_to_hsv(), numeric::xyzTransform< numeric::Real >::rt6(), numeric::serialize(), numeric::HomogeneousTransform< double >::set_point(), numeric::HomogeneousTransform< double >::set_transform(), numeric::spherical_to_xyz(), numeric::geometry::hashing::xyzStripeHash::translation_real(), numeric::truncate_and_serialize_xyz_vector(), numeric::geometry::hashing::xyzStripeHash::visit(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::visit(), numeric::geometry::hashing::xyzStripeHash::visit_lax(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::visit_lax(), numeric::crick_equations::XYZ_BUNDLE(), numeric::xyz_to_spherical(), and numeric::xyzTransform< numeric::Real >::z().

template<typename >

Value& numeric::xyzVector< typename >::z ( )

inline

Value z.

template<typename >

void numeric::xyzVector< typename >::z ( Value const &  z_a )

inline

z assignment

template<typename >

xyzVector& numeric::xyzVector< typename >::zero ( )

inline

Zero.

Friends And Related Function Documentation

template<typename >

void add ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > &  r  )

friend

Add: xyzVector + xyzVector.

template<typename >

void add ( xyzVector< typename > const &  v, Value const &  t, xyzVector< typename > &  r  )

friend

Add: xyzVector + Value.

template<typename >

void add ( Value const &  t, xyzVector< typename > const &  v, xyzVector< typename > &  r  )

friend

Add: Value + xyzVector.

template<typename >

Value angle_of ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Angle between two vectors (in radians on [ 0, pi ])

template<typename >

Value angle_of ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > const &  c  )

friend

Angle formed by three consecutive points (in radians on [ 0, pi ])

Note

For points a, b, c, the angle is the angle between the vectors a - b and c - b in other words, the positive angle about b from a to c

template<typename >

xyzVector center ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Center of 2 xyzVectors.

template<typename >

void center ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > &  m  )

friend

Center of 2 xyzVectors: Return via argument (slightly faster)

template<typename >

xyzVector center ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > const &  c  )

friend

Center of 3 xyzVectors.

template<typename >

void center ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > const &  c, xyzVector< typename > &  m  )

friend

Center of 3 xyzVectors: Return via argument (slightly faster)

template<typename >

xyzVector center ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > const &  c, xyzVector< typename > const &  d  )

friend

Center of 4 xyzVectors.

template<typename >

void center ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > const &  c, xyzVector< typename > const &  d, xyzVector< typename > &  m  )

friend

Center of 4 xyzVectors: Return via argument (slightly faster)

template<typename >

Value cos_of ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Cosine of angle between two vectors.

template<typename >

Value cos_of ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > const &  c  )

friend

Cosine of angle formed by three consecutive points.

Note

For points a, b, c, the angle is the angle between the vectors a - b and c - b in other words, the positive angle about b from a to c.

template<typename >

xyzVector cross ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Cross product.

template<typename >

void cross ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > &  c  )

friend

Cross product: Return via argument (slightly faster)

template<typename >

xyzVector cross_product ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Cross product.

template<typename >

void cross_product ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > &  c  )

friend

Cross product: Return via argument (slightly faster)

template<typename >

void divide ( xyzVector< typename > const &  v, Value const &  t, xyzVector< typename > &  r  )

friend

Divide: xyzVector / Value.

template<typename >

Value dot ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Dot product.

template<typename >

Value dot_product ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Dot product.

template<typename >

bool equal_length ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Equal length?

template<typename >

template<typename U >

platform::Size hash_value ( xyzVector< U > const &  v )

friend

Hashing of coords using boost::hash.

template<typename >

Value inner_product ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Inner product ( == dot product )

template<typename >

xyzVector< T >& inplace_product ( xyzMatrix< T > const &  m, xyzVector< T > &  v  )

friend

xyzMatrix * xyzVector in-place product

Note

Input xyzVector is modified

template<typename >

xyzVector< T >& inplace_transpose_product ( xyzMatrix< T > const &  m, xyzVector< T > &  v  )

friend

xyzMatrix^T * xyzVector in-place transpose product

Note

Input xyzVector is modified

template<typename >

xyzVector max ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

xyzVector with max coordinates of two xyzVectors

template<typename >

xyzVector midpoint ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Midpoint of 2 xyzVectors.

template<typename >

void midpoint ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > &  m  )

friend

Midpoint of 2 xyzVectors: Return via argument (slightly faster)

template<typename >

xyzVector min ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

xyzVector with min coordinates of two xyzVectors

template<typename >

void multiply ( xyzVector< typename > const &  v, Value const &  t, xyzVector< typename > &  r  )

friend

Multiply: xyzVector * Value.

template<typename >

void multiply ( Value const &  t, xyzVector< typename > const &  v, xyzVector< typename > &  r  )

friend

Multiply: Value * xyzVector.

template<typename >

bool not_equal_length ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Not equal length?

template<typename >

bool operator!= ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

xyzVector != xyzVector

template<typename >

bool operator!= ( xyzVector< typename > const &  v, Value const &  t  )

friend

xyzVector != Value

template<typename >

bool operator!= ( Value const &  t, xyzVector< typename > const &  v  )

friend

Value != xyzVector.

template<typename >

xyzVector< T > operator* ( xyzMatrix< T > const &  m, xyzVector< T > const &  v  )

friend

xyzMatrix * xyzVector

Note

Same as product( xyzMatrix, xyzVector )

template<typename >

xyzVector operator* ( xyzVector< typename > const &  v, Value const &  t  )

friend

xyzVector * Value

template<typename >

xyzVector operator* ( Value const &  t, xyzVector< typename > const &  v  )

friend

Value * xyzVector.

template<typename >

xyzVector operator+ ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

xyzVector + xyzVector

template<typename >

xyzVector operator+ ( xyzVector< typename > const &  v, Value const &  t  )

friend

xyzVector + Value

template<typename >

xyzVector operator+ ( Value const &  t, xyzVector< typename > const &  v  )

friend

Value + xyzVector.

template<typename >

xyzVector operator- ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

xyzVector - xyzVector

template<typename >

xyzVector operator- ( xyzVector< typename > const &  v, Value const &  t  )

friend

xyzVector - Value

template<typename >

xyzVector operator- ( Value const &  t, xyzVector< typename > const &  v  )

friend

Value - xyzVector.

template<typename >

xyzVector operator/ ( xyzVector< typename > const &  v, Value const &  t  )

friend

xyzVector / Value

template<typename >

bool operator< ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

xyzVector < xyzVector

template<typename >

bool operator< ( xyzVector< typename > const &  v, Value const &  t  )

friend

xyzVector < Value

template<typename >

bool operator< ( Value const &  t, xyzVector< typename > const &  v  )

friend

Value < xyzVector.

template<typename >

bool operator<= ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

xyzVector <= xyzVector

template<typename >

bool operator<= ( xyzVector< typename > const &  v, Value const &  t  )

friend

xyzVector <= Value

template<typename >

bool operator<= ( Value const &  t, xyzVector< typename > const &  v  )

friend

Value <= xyzVector.

template<typename >

bool operator== ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

xyzVector == xyzVector

template<typename >

bool operator== ( xyzVector< typename > const &  v, Value const &  t  )

friend

xyzVector == Value

template<typename >

bool operator== ( Value const &  t, xyzVector< typename > const &  v  )

friend

Value == xyzVector.

template<typename >

bool operator> ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

xyzVector > xyzVector

template<typename >

bool operator> ( xyzVector< typename > const &  v, Value const &  t  )

friend

xyzVector > Value

template<typename >

bool operator> ( Value const &  t, xyzVector< typename > const &  v  )

friend

Value > xyzVector.

template<typename >

bool operator>= ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

xyzVector >= xyzVector

template<typename >

bool operator>= ( xyzVector< typename > const &  v, Value const &  t  )

friend

xyzVector >= Value

template<typename >

bool operator>= ( Value const &  t, xyzVector< typename > const &  v  )

friend

Value >= xyzVector.

template<typename >

xyzMatrix< T > outer_product ( xyzVector< T > const &  a, xyzVector< T > const &  b  )

friend

xyzVector xyzVector outer product

template<typename >

xyzVector< T > product ( xyzMatrix< T > const &  m, xyzVector< T > const &  v  )

friend

xyzMatrix * xyzVector product

Note

Same as xyzMatrix * xyzVector

template<typename >

xyzMatrix< T > projection_matrix ( xyzVector< T > const &  v )

friend

geometric center

Note

compute the geometric center of a list of points Projection matrix onto the line through a vector

template<typename >

xyzMatrix< T > rotation_matrix ( xyzVector< T > const &  axis, T const &  theta  )

friend

Rotation matrix for rotation about an axis by an angle in radians.

template<typename >

Value sin_of ( xyzVector< typename > const &  a, xyzVector< typename > const &  b  )

friend

Sine of angle between two vectors.

template<typename >

Value sin_of ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > const &  c  )

friend

Sine of angle formed by three consecutive points.

Note

For points a, b, c, the angle is the angle between the vectors a - b and c - b in other words, the positive angle about b from a to c

template<typename >

void subtract ( xyzVector< typename > const &  a, xyzVector< typename > const &  b, xyzVector< typename > &  r  )

friend

Subtract: xyzVector - xyzVector.

template<typename >

void subtract ( xyzVector< typename > const &  v, Value const &  t, xyzVector< typename > &  r  )

friend

Subtract: xyzVector - Value.

template<typename >

void subtract ( Value const &  t, xyzVector< typename > const &  v, xyzVector< typename > &  r  )

friend

Subtract: Value - xyzVector.

template<typename >

xyzVector< T > transpose_product ( xyzMatrix< T > const &  m, xyzVector< T > const &  v  )

friend

xyzMatrix^T * xyzVector product

template<typename >

template<typename >

friend class xyzMatrix

friend

template<typename >

template<typename >

friend class xyzVector

friend

Member Data Documentation

template<typename >

Value numeric::xyzVector< typename >::x_

private

Coordinates of the 3 coordinate vector.

Referenced by numeric::xyzMatrix< T >::add_diagonal(), numeric::xyzVector< T >::assign(), numeric::xyzVector< T >::at(), numeric::xyzVector< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_x(), numeric::xyzMatrix< T >::col_y(), numeric::xyzMatrix< T >::col_z(), numeric::xyzMatrix< T >::cols_constructor(), numeric::xyzVector< T >::cross(), numeric::xyzVector< T >::cross_product(), numeric::xyzMatrix< T >::diag(), numeric::xyzVector< T >::distance(), numeric::xyzVector< T >::distance_squared(), numeric::xyzVector< T >::dot(), numeric::xyzVector< T >::dot_product(), numeric::hash_value(), numeric::xyzVector< T >::inner_product(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::xyzVector< T >::is_zero(), numeric::xyzVector< T >::length(), numeric::xyzVector< T >::length_squared(), numeric::xyzVector< T >::magnitude(), numeric::xyzVector< T >::magnitude_squared(), numeric::xyzVector< T >::max(), numeric::xyzVector< T >::maximum_value(), numeric::xyzVector< T >::min(), numeric::xyzVector< T >::minimum_value(), numeric::xyzVector< T >::negate(), numeric::xyzVector< T >::negated(), numeric::xyzVector< T >::norm(), numeric::xyzVector< T >::norm_squared(), numeric::xyzVector< T >::normalize(), numeric::xyzVector< T >::normalize_any(), numeric::xyzVector< T >::normalize_or_zero(), numeric::xyzVector< T >::normalized(), numeric::xyzVector< T >::normalized_any(), numeric::xyzVector< T >::normalized_or_zero(), numeric::xyzVector< T >::operator()(), numeric::operator*(), numeric::xyzVector< T >::operator*=(), numeric::xyzVector< T >::operator+=(), numeric::xyzVector< T >::operator-(), numeric::xyzVector< T >::operator-=(), numeric::xyzVector< T >::operator/=(), numeric::xyzVector< T >::operator=(), numeric::xyzVector< T >::operator[](), numeric::outer_product(), numeric::product(), numeric::xyzVector< T >::project_normal(), numeric::xyzVector< T >::project_parallel(), numeric::xyzVector< T >::projected_normal(), numeric::projection_matrix(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_x(), numeric::xyzMatrix< T >::row_y(), numeric::xyzMatrix< T >::row_z(), numeric::xyzMatrix< T >::rows_constructor(), numeric::xyzVector< T >::scaled_add(), numeric::xyzVector< T >::scaled_assign(), numeric::xyzVector< T >::scaled_sub(), numeric::xyzMatrix< T >::set_diagonal(), numeric::xyzVector< T >::show(), numeric::xyzMatrix< T >::subtract_diagonal(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzVector< T >::to_string(), numeric::transpose_product(), numeric::xyzVector< T >::x(), and numeric::xyzVector< T >::zero().

template<typename >

Value numeric::xyzVector< typename >::y_

private

Referenced by numeric::xyzMatrix< T >::add_diagonal(), numeric::xyzVector< T >::assign(), numeric::xyzVector< T >::at(), numeric::xyzVector< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_x(), numeric::xyzMatrix< T >::col_y(), numeric::xyzMatrix< T >::col_z(), numeric::xyzMatrix< T >::cols_constructor(), numeric::xyzVector< T >::cross(), numeric::xyzVector< T >::cross_product(), numeric::xyzMatrix< T >::diag(), numeric::xyzVector< T >::distance(), numeric::xyzVector< T >::distance_squared(), numeric::xyzVector< T >::dot(), numeric::xyzVector< T >::dot_product(), numeric::hash_value(), numeric::xyzVector< T >::inner_product(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::xyzVector< T >::is_zero(), numeric::xyzVector< T >::length(), numeric::xyzVector< T >::length_squared(), numeric::xyzVector< T >::magnitude(), numeric::xyzVector< T >::magnitude_squared(), numeric::xyzVector< T >::max(), numeric::xyzVector< T >::maximum_value(), numeric::xyzVector< T >::min(), numeric::xyzVector< T >::minimum_value(), numeric::xyzVector< T >::negate(), numeric::xyzVector< T >::negated(), numeric::xyzVector< T >::norm(), numeric::xyzVector< T >::norm_squared(), numeric::xyzVector< T >::normalize(), numeric::xyzVector< T >::normalize_any(), numeric::xyzVector< T >::normalize_or_zero(), numeric::xyzVector< T >::normalized(), numeric::xyzVector< T >::normalized_any(), numeric::xyzVector< T >::normalized_or_zero(), numeric::xyzVector< T >::operator()(), numeric::operator*(), numeric::xyzVector< T >::operator*=(), numeric::xyzVector< T >::operator+=(), numeric::xyzVector< T >::operator-(), numeric::xyzVector< T >::operator-=(), numeric::xyzVector< T >::operator/=(), numeric::xyzVector< T >::operator=(), numeric::xyzVector< T >::operator[](), numeric::outer_product(), numeric::product(), numeric::xyzVector< T >::project_normal(), numeric::xyzVector< T >::project_parallel(), numeric::xyzVector< T >::projected_normal(), numeric::projection_matrix(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_x(), numeric::xyzMatrix< T >::row_y(), numeric::xyzMatrix< T >::row_z(), numeric::xyzMatrix< T >::rows_constructor(), numeric::xyzVector< T >::scaled_add(), numeric::xyzVector< T >::scaled_assign(), numeric::xyzVector< T >::scaled_sub(), numeric::xyzMatrix< T >::set_diagonal(), numeric::xyzVector< T >::show(), numeric::xyzMatrix< T >::subtract_diagonal(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzVector< T >::to_string(), numeric::transpose_product(), numeric::xyzVector< T >::y(), and numeric::xyzVector< T >::zero().

template<typename >

Value numeric::xyzVector< typename >::z_

private

Referenced by numeric::xyzMatrix< T >::add_diagonal(), numeric::xyzVector< T >::assign(), numeric::xyzVector< T >::at(), numeric::xyzVector< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_x(), numeric::xyzMatrix< T >::col_y(), numeric::xyzMatrix< T >::col_z(), numeric::xyzMatrix< T >::cols_constructor(), numeric::xyzVector< T >::cross(), numeric::xyzVector< T >::cross_product(), numeric::xyzMatrix< T >::diag(), numeric::xyzVector< T >::distance(), numeric::xyzVector< T >::distance_squared(), numeric::xyzVector< T >::dot(), numeric::xyzVector< T >::dot_product(), numeric::hash_value(), numeric::xyzVector< T >::inner_product(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::xyzVector< T >::is_zero(), numeric::xyzVector< T >::length(), numeric::xyzVector< T >::length_squared(), numeric::xyzVector< T >::magnitude(), numeric::xyzVector< T >::magnitude_squared(), numeric::xyzVector< T >::max(), numeric::xyzVector< T >::maximum_value(), numeric::xyzVector< T >::min(), numeric::xyzVector< T >::minimum_value(), numeric::xyzVector< T >::negate(), numeric::xyzVector< T >::negated(), numeric::xyzVector< T >::norm(), numeric::xyzVector< T >::norm_squared(), numeric::xyzVector< T >::normalize(), numeric::xyzVector< T >::normalize_any(), numeric::xyzVector< T >::normalize_or_zero(), numeric::xyzVector< T >::normalized(), numeric::xyzVector< T >::normalized_any(), numeric::xyzVector< T >::normalized_or_zero(), numeric::xyzVector< T >::operator()(), numeric::operator*(), numeric::xyzVector< T >::operator*=(), numeric::xyzVector< T >::operator+=(), numeric::xyzVector< T >::operator-(), numeric::xyzVector< T >::operator-=(), numeric::xyzVector< T >::operator/=(), numeric::xyzVector< T >::operator=(), numeric::xyzVector< T >::operator[](), numeric::outer_product(), numeric::product(), numeric::xyzVector< T >::project_normal(), numeric::xyzVector< T >::project_parallel(), numeric::xyzVector< T >::projected_normal(), numeric::projection_matrix(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_x(), numeric::xyzMatrix< T >::row_y(), numeric::xyzMatrix< T >::row_z(), numeric::xyzMatrix< T >::rows_constructor(), numeric::xyzVector< T >::scaled_add(), numeric::xyzVector< T >::scaled_assign(), numeric::xyzVector< T >::scaled_sub(), numeric::xyzMatrix< T >::set_diagonal(), numeric::xyzVector< T >::show(), numeric::xyzMatrix< T >::subtract_diagonal(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzVector< T >::to_string(), numeric::transpose_product(), numeric::xyzVector< T >::z(), and numeric::xyzVector< T >::zero().

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

• src/numeric/xyzVector.fwd.hh
• src/numeric/xyzVector.hh