numeric::xyzTriple< typename > Class Template Reference

Fast (x,y,z)-coordinate vector container. More...

#include <xyzTriple.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
	xyzTriple ()
	Default constructor. More...
	xyzTriple (xyzTriple const &v)
	Copy constructor. More...
template<typename U >
	xyzTriple (xyzTriple< U > const &v)
	Copy constructor. More...
	xyzTriple (Value const &t)
	Uniform value constructor. More...
	xyzTriple (Value const &x_a, Value const &y_a, Value const &z_a)
	Triple value constructor. More...
template<typename U >
	xyzTriple (U const *p)
	Pointer to contiguous values constructor. More...
	~xyzTriple ()
	Destructor. More...
xyzTriple &	operator= (xyzTriple const &v)
	Copy assignment. More...
template<typename U >
xyzTriple &	operator= (xyzTriple< U > const &v)
	Copy assignment. More...
template<typename U >
xyzTriple &	operator= (U const *p)
	Assignment from pointer to contiguous values. More...
template<typename U >
xyzTriple &	operator+= (xyzTriple< U > const &v)
	+= xyzTriple More...
template<typename U >
xyzTriple &	operator-= (xyzTriple< U > const &v)
	-= xyzTriple More...
template<typename U >
xyzTriple &	scaled_assign (Value const &t, xyzTriple< U > const &v)
	Assign Value * xyzTriple. More...
template<typename U >
xyzTriple &	scaled_add (Value const &t, xyzTriple< U > const &v)
	Add Value * xyzTriple. More...
template<typename U >
xyzTriple &	scaled_sub (Value const &t, xyzTriple< U > const &v)
	Subtract Value * xyzTriple. More...
xyzTriple &	operator= (Value const &t)
	= Value More...
xyzTriple &	operator+= (Value const &t)
	+= Value More...
xyzTriple &	operator-= (Value const &t)
	-= Value More...
xyzTriple &	operator*= (Value const &t)
	*= Value More...
xyzTriple &	operator/= (Value const &t)
	/= Value More...
xyzTriple &	assign (Value const &x_a, Value const &y_a, Value const &z_a)
	Triple value assignment. More...
xyzTriple &	clear ()
	Clear. More...
xyzTriple &	zero ()
	Zero. More...
xyzTriple &	negate ()
	Negate. More...
xyzTriple	operator- () const
	-xyzTriple (negated copy) More...
xyzTriple	negated () const
	Negated copy. More...
void	negated (xyzTriple &a) const
	Negated: Return via argument (slightly faster) More...
xyzTriple &	min (xyzTriple const &v)
	Set minimum coordinates wrt another xyzTriple. More...
xyzTriple &	max (xyzTriple const &v)
	Set maximum coordinates wrt another xyzTriple. More...
xyzTriple &	normalize ()
	Normalize. More...
void	normalized (xyzTriple &a) const
	Normalized. More...
xyzTriple &	normalize_or_zero ()
	Normalize: zero xyzTriple if length is zero. More...
void	normalized_or_zero (xyzTriple &a) const
	Normalized: zero xyzTriple if length is zero. More...
xyzTriple &	normalize_any ()
	Normalize: arbitrary normalized xyzTriple if length is zero. More...
void	normalized_any (xyzTriple &a) const
	Normalized: arbitrary normalized xyzTriple if length is zero. More...
xyzTriple &	normalize (Value const &length_a)
	Normalize to a length. More...
void	normalized (Value const &length_a, xyzTriple &a) const
	Normalized to a length. More...
xyzTriple &	normalize_or_zero (Value const &length_a)
	Normalize to a length: zero xyzTriple if length is zero. More...
void	normalized_or_zero (Value const &length_a, xyzTriple &a) const
	Normalized to a length: zero xyzTriple if length is zero. More...
xyzTriple &	normalize_any (Value const &length_a)
	Normalize to a length: arbitrary normalized xyzTriple if length is zero. More...
void	normalized_any (Value const &length_a, xyzTriple &a) const
	Normalized to a length: arbitrary normalized xyzTriple if length is zero. More...
xyzTriple	normalized () const
	Normalized copy. More...
xyzTriple	normalized_or_zero () const
	Normalized copy: Zero xyzTriple if length is zero. More...
xyzTriple	normalized_any () const
	Normalized copy: Arbitrary normalized xyzTriple if length is zero. More...
xyzTriple	normalized (Value const &length_a) const
	Normalized to a length copy. More...
xyzTriple	normalized_or_zero (Value const &length_a) const
	Normalized to a length copy: Zero xyzTriple if length is zero. More...
xyzTriple	normalized_any (Value const &length_a) const
	Normalized to a length copy: Arbitrary normalized xyzTriple if length is zero. More...
xyzTriple &	project_normal (xyzTriple const &v)
	Project normal. More...
xyzTriple	projected_normal (xyzTriple const &v) const
	Projected normal copy. More...
void	projected_normal (xyzTriple const &v, xyzTriple &a) const
	Projected normal. More...
xyzTriple &	project_parallel (xyzTriple const &v)
	Project parallel. More...
xyzTriple	projected_parallel (xyzTriple const &v) const
	Projected parallel copy. More...
void	projected_parallel (xyzTriple const &v, xyzTriple &a)
	Projected parallel. More...
Value	distance (xyzTriple const &v) const
	Distance. More...
Value	distance_squared (xyzTriple const &v) const
	Distance squared. More...
Value	dot (xyzTriple const &v) const
	Dot product. More...
Value	dot_product (xyzTriple const &v) const
	Dot product. More...
Value	inner_product (xyzTriple const &v) const
	Inner product ( == dot product ) More...
xyzTriple	cross (xyzTriple const &v) const
	Cross product. More...
xyzTriple	cross_product (xyzTriple 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
	xyzTriple[ i ] const: 0-based index More...
Value &	operator[] (int const i)
	xyzTriple[ i ]: 0-based index More...
Value const &	operator() (int const i) const
	xyzTriple( i ) const: 1-based index More...
Value &	operator() (int const i)
	xyzTriple( i ): 1-based index More...
bool	equal_length (xyzTriple const &v)
	Equal length? More...
bool	not_equal_length (xyzTriple const &v)
	Not equal length? More...
bool	longer (xyzTriple const &v)
	Longer? More...
bool	longer_or_equal (xyzTriple const &v)
	Longer or equal length? More...
bool	shorter (xyzTriple const &v)
	Shorter? More...
bool	shorter_or_equal (xyzTriple 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	xyzTriple
xyzTriple	operator+ (xyzTriple const &a, xyzTriple const &b)
	xyzTriple + xyzTriple More...
xyzTriple	operator+ (xyzTriple const &v, Value const &t)
	xyzTriple + Value More...
xyzTriple	operator+ (Value const &t, xyzTriple const &v)
	Value + xyzTriple. More...
xyzTriple	operator- (xyzTriple const &a, xyzTriple const &b)
	xyzTriple - xyzTriple More...
xyzTriple	operator- (xyzTriple const &v, Value const &t)
	xyzTriple - Value More...
xyzTriple	operator- (Value const &t, xyzTriple const &v)
	Value - xyzTriple. More...
xyzTriple	operator* (xyzTriple const &v, Value const &t)
	xyzTriple * Value More...
xyzTriple	operator* (Value const &t, xyzTriple const &v)
	Value * xyzTriple. More...
xyzTriple	operator/ (xyzTriple const &v, Value const &t)
	xyzTriple / Value More...
template<typename U >
void	add (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > &r)
	Add: xyzTriple + xyzTriple. More...
template<typename U >
void	add (xyzTriple< U > const &v, U const &t, xyzTriple< U > &r)
	Add: xyzTriple + Value. More...
template<typename U >
void	add (U const &t, xyzTriple< U > const &v, xyzTriple< U > &r)
	Add: Value + xyzTriple. More...
template<typename U >
void	subtract (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > &r)
	Subtract: xyzTriple - xyzTriple. More...
template<typename U >
void	subtract (xyzTriple< U > const &v, U const &t, xyzTriple< U > &r)
	Subtract: xyzTriple - Value. More...
template<typename U >
void	subtract (U const &t, xyzTriple< U > const &v, xyzTriple< U > &r)
	Subtract: Value - xyzTriple. More...
template<typename U >
void	multiply (xyzTriple< U > const &v, U const &t, xyzTriple< U > &r)
	Multiply: xyzTriple * Value. More...
template<typename U >
void	multiply (U const &t, xyzTriple< U > const &v, xyzTriple< U > &r)
	Multiply: Value * xyzTriple. More...
template<typename U >
void	divide (xyzTriple< U > const &v, U const &t, xyzTriple< U > &r)
	Divide: xyzTriple / Value. More...
template<typename U >
xyzTriple< U >	min (xyzTriple< U > const &a, xyzTriple< U > const &b)
	xyzTriple with min coordinates of two xyzTriples More...
template<typename U >
xyzTriple< U >	max (xyzTriple< U > const &a, xyzTriple< U > const &b)
	xyzTriple with max coordinates of two xyzTriples More...
template<typename U >
U	distance (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Distance. More...
template<typename U >
U	distance_squared (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Distance squared. More...
template<typename U >
U	dot (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Dot product. More...
template<typename U >
U	dot_product (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Dot product. More...
template<typename U >
U	inner_product (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Inner product ( == dot product ) More...
template<typename U >
xyzTriple< U >	cross (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Cross product. More...
template<typename U >
xyzTriple< U >	cross_product (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Cross product. More...
template<typename U >
void	cross (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > &c)
	Cross product: Return via argument (slightly faster) More...
template<typename U >
void	cross_product (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > &c)
	Cross product: Return via argument (slightly faster) More...
template<typename U >
xyzTriple< U >	midpoint (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Midpoint of 2 xyzTriples. More...
template<typename U >
void	midpoint (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > &m)
	Midpoint of 2 xyzTriples: Return via argument (slightly faster) More...
template<typename U >
xyzTriple< U >	center (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Center of 2 xyzTriples. More...
template<typename U >
void	center (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > &m)
	Center of 2 xyzTriples: Return via argument (slightly faster) More...
template<typename U >
xyzTriple< U >	center (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > const &c)
	Center of 3 xyzTriples. More...
template<typename U >
void	center (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > const &c, xyzTriple< U > &m)
	Center of 3 xyzTriples: Return via argument (slightly faster) More...
template<typename U >
xyzTriple< U >	center (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > const &c, xyzTriple< U > const &d)
	Center of 4 xyzTriples. More...
template<typename U >
void	center (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > const &c, xyzTriple< U > const &d, xyzTriple< U > &m)
	Center of 4 xyzTriples: Return via argument (slightly faster) More...
template<typename U >
U	angle_of (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Angle between two vectors (in radians on [ 0, pi ]) More...
template<typename U >
U	angle_of (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > const &c)
	Angle formed by three consecutive points (in radians on [ 0, pi ]) More...
template<typename U >
U	cos_of (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Cosine of angle between two vectors. More...
template<typename U >
U	cos_of (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > const &c)
	Cosine of angle formed by three consecutive points. More...
template<typename U >
U	sin_of (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Sine of angle between two vectors. More...
template<typename U >
U	sin_of (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > const &c)
	Sine of angle formed by three consecutive points. More...
bool	operator== (xyzTriple const &a, xyzTriple const &b)
	xyzTriple == xyzTriple More...
bool	operator!= (xyzTriple const &a, xyzTriple const &b)
	xyzTriple != xyzTriple More...
bool	operator< (xyzTriple const &a, xyzTriple const &b)
	xyzTriple < xyzTriple: Lexicographic order More...
bool	operator<= (xyzTriple const &a, xyzTriple const &b)
	xyzTriple <= xyzTriple More...
bool	operator>= (xyzTriple const &a, xyzTriple const &b)
	xyzTriple >= xyzTriple More...
bool	operator> (xyzTriple const &a, xyzTriple const &b)
	xyzTriple > xyzTriple More...
bool	operator== (xyzTriple const &v, Value const &t)
	xyzTriple == Value More...
bool	operator!= (xyzTriple const &v, Value const &t)
	xyzTriple != Value More...
bool	operator< (xyzTriple const &v, Value const &t)
	xyzTriple < Value More...
bool	operator<= (xyzTriple const &v, Value const &t)
	xyzTriple <= Value More...
bool	operator>= (xyzTriple const &v, Value const &t)
	xyzTriple >= Value More...
bool	operator> (xyzTriple const &v, Value const &t)
	xyzTriple > Value More...
bool	operator== (Value const &t, xyzTriple const &v)
	Value == xyzTriple. More...
bool	operator!= (Value const &t, xyzTriple const &v)
	Value != xyzTriple. More...
bool	operator< (Value const &t, xyzTriple const &v)
	Value < xyzTriple. More...
bool	operator<= (Value const &t, xyzTriple const &v)
	Value <= xyzTriple. More...
bool	operator>= (Value const &t, xyzTriple const &v)
	Value >= xyzTriple. More...
bool	operator> (Value const &t, xyzTriple const &v)
	Value > xyzTriple. More...
template<typename U >
bool	equal_length (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Equal length? More...
template<typename U >
bool	not_equal_length (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Not equal length? More...

Detailed Description

template<typename>
class numeric::xyzTriple< typename >

Fast (x,y,z)-coordinate vector container.

Member Typedef Documentation

template<typename >

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

template<typename >

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

template<typename >

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

template<typename >

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

template<typename >

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

template<typename >

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

template<typename >

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

template<typename >

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

template<typename >

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

template<typename >

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

template<typename >

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

template<typename >

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

Constructor & Destructor Documentation

template<typename >

numeric::xyzTriple< typename >::xyzTriple ( )

inline

Default constructor.

Note

Values are uninitialized for efficiency

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

template<typename >

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

inline

Copy constructor.

template<typename >

template<typename U >

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

inline

Copy constructor.

template<typename >

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

inlineexplicit

Uniform value constructor.

template<typename >

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

inline

Triple value constructor.

template<typename >

template<typename U >

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

inline

Destructor.

Member Function Documentation

template<typename >

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

inline

Triple value assignment.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

xyzVector.at: 0-based index with bounds checking

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

xyzVector.at: 0-based index with bounds checking

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Clear.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

Referenced by pyrosetta.bindings.pose.ResidueLabelAccessor::discard().

template<typename >

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

inline

Cross product.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::xyzTriple(), numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Cross product.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::xyzTriple(), numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Distance.

References numeric::xyzTriple< typename >::square(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Distance squared.

References numeric::xyzTriple< typename >::square(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Dot product.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

Referenced by numeric::xyzTriple< typename >::project_normal(), numeric::xyzTriple< typename >::project_parallel(), numeric::xyzTriple< typename >::projected_normal(), and numeric::xyzTriple< typename >::projected_parallel().

template<typename >

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

inline

Dot product.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Equal length?

References numeric::xyzTriple< typename >::length_squared().

template<typename >

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

inline

Inner product ( == dot product )

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Is exactly normalized?

References numeric::xyzTriple< typename >::length_squared().

template<typename >

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

inline

Is normalized to within a tolerance?

References numeric::xyzTriple< typename >::length_squared(), and loops_kic::tol.

template<typename >

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

inline

Is exactly a unit vector?

References numeric::xyzTriple< typename >::length_squared().

template<typename >

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

inline

Is a unit vector to within a tolerance?

References numeric::xyzTriple< typename >::length_squared(), and loops_kic::tol.

template<typename >

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

inline

Is zero?

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Length.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

Referenced by numeric::xyzTriple< typename >::normalize(), numeric::xyzTriple< typename >::normalize_any(), numeric::xyzTriple< typename >::normalize_or_zero(), numeric::xyzTriple< typename >::normalized(), numeric::xyzTriple< typename >::normalized_any(), and numeric::xyzTriple< typename >::normalized_or_zero().

template<typename >

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

inline

Length squared.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

Referenced by numeric::xyzTriple< typename >::equal_length(), numeric::xyzTriple< typename >::is_normalized(), numeric::xyzTriple< typename >::is_unit(), numeric::xyzTriple< typename >::longer(), numeric::xyzTriple< typename >::longer_or_equal(), numeric::xyzTriple< typename >::not_equal_length(), numeric::xyzTriple< typename >::shorter(), and numeric::xyzTriple< typename >::shorter_or_equal().

template<typename >

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

inline

Longer?

References numeric::xyzTriple< typename >::length_squared().

template<typename >

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

inline

Longer or equal length?

References numeric::xyzTriple< typename >::length_squared().

template<typename >

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

inline

Magnitude.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Magnitude squared.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Set maximum coordinates wrt another xyzTriple.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Set minimum coordinates wrt another xyzTriple.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Negate.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Negated copy.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::xyzTriple(), numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Negated: Return via argument (slightly faster)

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Norm.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Norm squared.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalize.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalize to a length.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalize: arbitrary normalized xyzTriple if length is zero.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

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

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalize: zero xyzTriple if length is zero.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

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

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalized.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalized to a length.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalized copy.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::xyzTriple(), numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalized to a length copy.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::xyzTriple(), numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalized: arbitrary normalized xyzTriple if length is zero.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

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

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalized copy: Arbitrary normalized xyzTriple if length is zero.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::xyzTriple(), numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

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

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::xyzTriple(), numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalized: zero xyzTriple if length is zero.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

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

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Normalized copy: Zero xyzTriple if length is zero.

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::xyzTriple(), numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

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

References numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::xyzTriple(), numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Not equal length?

References numeric::xyzTriple< typename >::length_squared().

template<typename >

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

inline

xyzTriple( i ) const: 1-based index

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

xyzTriple( i ): 1-based index

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

*= Value

References basic::options::OptionKeys::in::file::t, numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

template<typename U >

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

inline

+= xyzTriple

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

+= Value

References basic::options::OptionKeys::in::file::t, numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

-xyzTriple (negated copy)

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::xyzTriple(), numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

template<typename U >

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

inline

-= xyzTriple

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

-= Value

References basic::options::OptionKeys::in::file::t, numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

/= Value

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Copy assignment.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

template<typename U >

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

inline

Copy assignment.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

template<typename U >

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

inline

Assignment from pointer to contiguous values.

Warning

No way to check that argument points to three values

References basic::options::OptionKeys::score::fiber_diffraction::p, numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

= Value

References basic::options::OptionKeys::in::file::t, numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

xyzTriple[ i ] const: 0-based index

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

xyzTriple[ i ]: 0-based index

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Project normal.

Note

This vector projected normally onto input vector

Not meaningful when v == 0

References numeric::xyzTriple< typename >::dot(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Project parallel.

Note

This vector projected in direction of input vector

Not meaningful when v == 0

References numeric::xyzTriple< typename >::dot(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Projected normal copy.

Note

Copy of this vector projected normally onto input vector

Not meaningful when v == 0

References numeric::xyzTriple< typename >::dot(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::xyzTriple(), numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Projected normal.

Note

Copy of this vector projected normally onto first input vector

Not meaningful when v == 0

References numeric::xyzTriple< typename >::dot(), numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Projected parallel copy.

Note

Copy of this vector projected in direction of input vector

Not meaningful when v == 0

References numeric::xyzTriple< typename >::dot(), and numeric::xyzTriple< typename >::xyzTriple().

template<typename >

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

inline

Projected parallel.

Note

Copy of this vector projected in direction of first input vector

Not meaningful when v == 0

References numeric::xyzTriple< typename >::dot().

template<typename >

template<typename U >

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

inline

Add Value * xyzTriple.

Note

Avoids temporary of += Value * xyzTriple

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

template<typename U >

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

inline

Assign Value * xyzTriple.

Note

Avoids temporary of = Value * xyzTriple

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

template<typename U >

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

inline

Subtract Value * xyzTriple.

Note

Avoids temporary of -= Value * xyzTriple

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Shorter?

References numeric::xyzTriple< typename >::length_squared().

template<typename >

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

inline

Shorter or equal length?

References numeric::xyzTriple< typename >::length_squared().

template<typename >

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

inlinestaticprivate

square( t ) == t * t

References basic::options::OptionKeys::in::file::t.

Referenced by numeric::xyzTriple< typename >::distance(), and numeric::xyzTriple< typename >::distance_squared().

template<typename >

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

inline

Value x const.

References numeric::xyzTriple< typename >::x_.

Referenced by numeric::operator>>().

template<typename >

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

inline

Value x.

References numeric::xyzTriple< typename >::x_.

template<typename >

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

inline

x assignment

References numeric::xyzTriple< typename >::x_.

template<typename >

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

inline

Value y const.

References numeric::xyzTriple< typename >::y_.

Referenced by numeric::operator>>().

template<typename >

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

inline

Value y.

References numeric::xyzTriple< typename >::y_.

template<typename >

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

inline

y assignment

References numeric::xyzTriple< typename >::y_.

template<typename >

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

inline

Value z const.

References numeric::xyzTriple< typename >::z_.

Referenced by numeric::operator>>().

template<typename >

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

inline

Value z.

References numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

z assignment

References numeric::xyzTriple< typename >::z_.

template<typename >

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

inline

Zero.

References numeric::xyzTriple< typename >::x_, numeric::xyzTriple< typename >::y_, and numeric::xyzTriple< typename >::z_.

Friends And Related Function Documentation

template<typename >

template<typename U >

void add ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > &  r  )

friend

Add: xyzTriple + xyzTriple.

Referenced by pyrosetta.bindings.pose.ResidueLabelAccessor::discard().

template<typename >

template<typename U >

void add ( xyzTriple< U > const &  v, U const &  t, xyzTriple< U > &  r  )

friend

Add: xyzTriple + Value.

Referenced by pyrosetta.bindings.pose.ResidueLabelAccessor::discard().

template<typename >

template<typename U >

void add ( U const &  t, xyzTriple< U > const &  v, xyzTriple< U > &  r  )

friend

Add: Value + xyzTriple.

Referenced by pyrosetta.bindings.pose.ResidueLabelAccessor::discard().

template<typename >

template<typename U >

U angle_of ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

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

template<typename >

template<typename U >

U angle_of ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > 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 >

template<typename U >

xyzTriple<U> center ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Center of 2 xyzTriples.

template<typename >

template<typename U >

void center ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > &  m  )

friend

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

template<typename >

template<typename U >

xyzTriple<U> center ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > const &  c  )

friend

Center of 3 xyzTriples.

template<typename >

template<typename U >

void center ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > const &  c, xyzTriple< U > &  m  )

friend

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

template<typename >

template<typename U >

xyzTriple<U> center ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > const &  c, xyzTriple< U > const &  d  )

friend

Center of 4 xyzTriples.

template<typename >

template<typename U >

void center ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > const &  c, xyzTriple< U > const &  d, xyzTriple< U > &  m  )

friend

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

template<typename >

template<typename U >

U cos_of ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Cosine of angle between two vectors.

template<typename >

template<typename U >

U cos_of ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > 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 >

template<typename U >

xyzTriple<U> cross ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Cross product.

template<typename >

template<typename U >

void cross ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > &  c  )

friend

Cross product: Return via argument (slightly faster)

template<typename >

template<typename U >

xyzTriple<U> cross_product ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Cross product.

template<typename >

template<typename U >

void cross_product ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > &  c  )

friend

Cross product: Return via argument (slightly faster)

template<typename >

template<typename U >

U distance ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Distance.

template<typename >

template<typename U >

U distance_squared ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Distance squared.

template<typename >

template<typename U >

void divide ( xyzTriple< U > const &  v, U const &  t, xyzTriple< U > &  r  )

friend

Divide: xyzTriple / Value.

template<typename >

template<typename U >

U dot ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Dot product.

template<typename >

template<typename U >

U dot_product ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Dot product.

template<typename >

template<typename U >

bool equal_length ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Equal length?

template<typename >

template<typename U >

U inner_product ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Inner product ( == dot product )

template<typename >

template<typename U >

xyzTriple<U> max ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

xyzTriple with max coordinates of two xyzTriples

template<typename >

template<typename U >

xyzTriple<U> midpoint ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Midpoint of 2 xyzTriples.

template<typename >

template<typename U >

void midpoint ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > &  m  )

friend

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

template<typename >

template<typename U >

xyzTriple<U> min ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

xyzTriple with min coordinates of two xyzTriples

template<typename >

template<typename U >

void multiply ( xyzTriple< U > const &  v, U const &  t, xyzTriple< U > &  r  )

friend

Multiply: xyzTriple * Value.

template<typename >

template<typename U >

void multiply ( U const &  t, xyzTriple< U > const &  v, xyzTriple< U > &  r  )

friend

Multiply: Value * xyzTriple.

template<typename >

template<typename U >

bool not_equal_length ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Not equal length?

template<typename >

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

friend

xyzTriple != xyzTriple

template<typename >

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

friend

xyzTriple != Value

template<typename >

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

friend

Value != xyzTriple.

template<typename >

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

friend

xyzTriple * Value

template<typename >

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

friend

Value * xyzTriple.

template<typename >

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

friend

xyzTriple + xyzTriple

template<typename >

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

friend

xyzTriple + Value

template<typename >

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

friend

Value + xyzTriple.

template<typename >

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

friend

xyzTriple - xyzTriple

template<typename >

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

friend

xyzTriple - Value

template<typename >

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

friend

Value - xyzTriple.

template<typename >

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

friend

xyzTriple / Value

template<typename >

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

friend

xyzTriple < xyzTriple: Lexicographic order

template<typename >

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

friend

xyzTriple < Value

template<typename >

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

friend

Value < xyzTriple.

template<typename >

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

friend

xyzTriple <= xyzTriple

template<typename >

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

friend

xyzTriple <= Value

template<typename >

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

friend

Value <= xyzTriple.

template<typename >

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

friend

xyzTriple == xyzTriple

template<typename >

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

friend

xyzTriple == Value

template<typename >

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

friend

Value == xyzTriple.

template<typename >

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

friend

xyzTriple > xyzTriple

template<typename >

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

friend

xyzTriple > Value

template<typename >

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

friend

Value > xyzTriple.

template<typename >

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

friend

xyzTriple >= xyzTriple

template<typename >

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

friend

xyzTriple >= Value

template<typename >

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

friend

Value >= xyzTriple.

template<typename >

template<typename U >

U sin_of ( xyzTriple< U > const &  a, xyzTriple< U > const &  b  )

friend

Sine of angle between two vectors.

template<typename >

template<typename U >

U sin_of ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > 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 >

template<typename U >

void subtract ( xyzTriple< U > const &  a, xyzTriple< U > const &  b, xyzTriple< U > &  r  )

friend

Subtract: xyzTriple - xyzTriple.

template<typename >

template<typename U >

void subtract ( xyzTriple< U > const &  v, U const &  t, xyzTriple< U > &  r  )

friend

Subtract: xyzTriple - Value.

template<typename >

template<typename U >

void subtract ( U const &  t, xyzTriple< U > const &  v, xyzTriple< U > &  r  )

friend

Subtract: Value - xyzTriple.

template<typename >

template<typename >

friend class xyzTriple

friend

Member Data Documentation

template<typename >

Value numeric::xyzTriple< typename >::x_

private

Coordinates of the 3 coordinate vector.

Referenced by numeric::xyzTriple< typename >::assign(), numeric::xyzTriple< typename >::at(), numeric::xyzTriple< typename >::clear(), numeric::xyzTriple< typename >::cross(), numeric::xyzTriple< typename >::cross_product(), numeric::xyzTriple< typename >::distance(), numeric::xyzTriple< typename >::distance_squared(), numeric::xyzTriple< typename >::dot(), numeric::xyzTriple< typename >::dot_product(), numeric::xyzTriple< typename >::inner_product(), numeric::xyzTriple< typename >::is_zero(), numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::length_squared(), numeric::xyzTriple< typename >::magnitude(), numeric::xyzTriple< typename >::magnitude_squared(), numeric::xyzTriple< typename >::max(), numeric::xyzTriple< typename >::min(), numeric::xyzTriple< typename >::negate(), numeric::xyzTriple< typename >::negated(), numeric::xyzTriple< typename >::norm(), numeric::xyzTriple< typename >::norm_squared(), numeric::xyzTriple< typename >::normalize(), numeric::xyzTriple< typename >::normalize_any(), numeric::xyzTriple< typename >::normalize_or_zero(), numeric::xyzTriple< typename >::normalized(), numeric::xyzTriple< typename >::normalized_any(), numeric::xyzTriple< typename >::normalized_or_zero(), numeric::xyzTriple< typename >::operator()(), numeric::xyzTriple< typename >::operator*=(), numeric::xyzTriple< typename >::operator+=(), numeric::xyzTriple< typename >::operator-(), numeric::xyzTriple< typename >::operator-=(), numeric::xyzTriple< typename >::operator/=(), numeric::xyzTriple< typename >::operator=(), numeric::xyzTriple< typename >::operator[](), numeric::xyzTriple< typename >::project_normal(), numeric::xyzTriple< typename >::project_parallel(), numeric::xyzTriple< typename >::projected_normal(), numeric::xyzTriple< typename >::scaled_add(), numeric::xyzTriple< typename >::scaled_assign(), numeric::xyzTriple< typename >::scaled_sub(), numeric::xyzTriple< typename >::x(), and numeric::xyzTriple< typename >::zero().

template<typename >

Value numeric::xyzTriple< typename >::y_

private

Referenced by numeric::xyzTriple< typename >::assign(), numeric::xyzTriple< typename >::at(), numeric::xyzTriple< typename >::clear(), numeric::xyzTriple< typename >::cross(), numeric::xyzTriple< typename >::cross_product(), numeric::xyzTriple< typename >::distance(), numeric::xyzTriple< typename >::distance_squared(), numeric::xyzTriple< typename >::dot(), numeric::xyzTriple< typename >::dot_product(), numeric::xyzTriple< typename >::inner_product(), numeric::xyzTriple< typename >::is_zero(), numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::length_squared(), numeric::xyzTriple< typename >::magnitude(), numeric::xyzTriple< typename >::magnitude_squared(), numeric::xyzTriple< typename >::max(), numeric::xyzTriple< typename >::min(), numeric::xyzTriple< typename >::negate(), numeric::xyzTriple< typename >::negated(), numeric::xyzTriple< typename >::norm(), numeric::xyzTriple< typename >::norm_squared(), numeric::xyzTriple< typename >::normalize(), numeric::xyzTriple< typename >::normalize_any(), numeric::xyzTriple< typename >::normalize_or_zero(), numeric::xyzTriple< typename >::normalized(), numeric::xyzTriple< typename >::normalized_any(), numeric::xyzTriple< typename >::normalized_or_zero(), numeric::xyzTriple< typename >::operator()(), numeric::xyzTriple< typename >::operator*=(), numeric::xyzTriple< typename >::operator+=(), numeric::xyzTriple< typename >::operator-(), numeric::xyzTriple< typename >::operator-=(), numeric::xyzTriple< typename >::operator/=(), numeric::xyzTriple< typename >::operator=(), numeric::xyzTriple< typename >::operator[](), numeric::xyzTriple< typename >::project_normal(), numeric::xyzTriple< typename >::project_parallel(), numeric::xyzTriple< typename >::projected_normal(), numeric::xyzTriple< typename >::scaled_add(), numeric::xyzTriple< typename >::scaled_assign(), numeric::xyzTriple< typename >::scaled_sub(), numeric::xyzTriple< typename >::y(), and numeric::xyzTriple< typename >::zero().

template<typename >

Value numeric::xyzTriple< typename >::z_

private

Referenced by numeric::xyzTriple< typename >::assign(), numeric::xyzTriple< typename >::at(), numeric::xyzTriple< typename >::clear(), numeric::xyzTriple< typename >::cross(), numeric::xyzTriple< typename >::cross_product(), numeric::xyzTriple< typename >::distance(), numeric::xyzTriple< typename >::distance_squared(), numeric::xyzTriple< typename >::dot(), numeric::xyzTriple< typename >::dot_product(), numeric::xyzTriple< typename >::inner_product(), numeric::xyzTriple< typename >::is_zero(), numeric::xyzTriple< typename >::length(), numeric::xyzTriple< typename >::length_squared(), numeric::xyzTriple< typename >::magnitude(), numeric::xyzTriple< typename >::magnitude_squared(), numeric::xyzTriple< typename >::max(), numeric::xyzTriple< typename >::min(), numeric::xyzTriple< typename >::negate(), numeric::xyzTriple< typename >::negated(), numeric::xyzTriple< typename >::norm(), numeric::xyzTriple< typename >::norm_squared(), numeric::xyzTriple< typename >::normalize(), numeric::xyzTriple< typename >::normalize_any(), numeric::xyzTriple< typename >::normalize_or_zero(), numeric::xyzTriple< typename >::normalized(), numeric::xyzTriple< typename >::normalized_any(), numeric::xyzTriple< typename >::normalized_or_zero(), numeric::xyzTriple< typename >::operator()(), numeric::xyzTriple< typename >::operator*=(), numeric::xyzTriple< typename >::operator+=(), numeric::xyzTriple< typename >::operator-(), numeric::xyzTriple< typename >::operator-=(), numeric::xyzTriple< typename >::operator/=(), numeric::xyzTriple< typename >::operator=(), numeric::xyzTriple< typename >::operator[](), numeric::xyzTriple< typename >::project_normal(), numeric::xyzTriple< typename >::project_parallel(), numeric::xyzTriple< typename >::projected_normal(), numeric::xyzTriple< typename >::scaled_add(), numeric::xyzTriple< typename >::scaled_assign(), numeric::xyzTriple< typename >::scaled_sub(), numeric::xyzTriple< typename >::z(), and numeric::xyzTriple< typename >::zero().

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

• src/numeric/xyzTriple.fwd.hh
• src/numeric/xyzTriple.hh