xyzTriple.hh File Reference

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

#include <numeric/xyzTriple.fwd.hh>
#include <numeric/trig.functions.hh>
#include <utility/assert.hh>
#include <cmath>
#include <stdexcept>

Classes
class	numeric::xyzTriple< T >
	Fast (x,y,z)-coordinate vector container. More...

Namespaces
	numeric
	Unit headers.

Functions
template<typename T >
xyzTriple< T >	numeric::operator+ (xyzTriple< T > const &a, xyzTriple< T > const &b)
	xyzTriple + xyzTriple More...
template<typename T >
xyzTriple< T >	numeric::operator+ (xyzTriple< T > const &v, T const &t)
	xyzTriple + T More...
template<typename T >
xyzTriple< T >	numeric::operator+ (T const &t, xyzTriple< T > const &v)
	T + xyzTriple. More...
template<typename T >
xyzTriple< T >	numeric::operator- (xyzTriple< T > const &a, xyzTriple< T > const &b)
	xyzTriple - xyzTriple More...
template<typename T >
xyzTriple< T >	numeric::operator- (xyzTriple< T > const &v, T const &t)
	xyzTriple - T More...
template<typename T >
xyzTriple< T >	numeric::operator- (T const &t, xyzTriple< T > const &v)
	T - xyzTriple. More...
template<typename T >
xyzTriple< T >	numeric::operator* (xyzTriple< T > const &v, T const &t)
	xyzTriple * T More...
template<typename T >
xyzTriple< T >	numeric::operator* (T const &t, xyzTriple< T > const &v)
	T * xyzTriple. More...
template<typename T >
xyzTriple< T >	numeric::operator/ (xyzTriple< T > const &v, T const &t)
	xyzTriple / T More...
template<typename T >
void	numeric::add (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > &r)
	Add: xyzTriple + xyzTriple. More...
template<typename T >
void	numeric::add (xyzTriple< T > const &v, T const &t, xyzTriple< T > &r)
	Add: xyzTriple + T. More...
template<typename T >
void	numeric::add (T const &t, xyzTriple< T > const &v, xyzTriple< T > &r)
	Add: T + xyzTriple. More...
template<typename T >
void	numeric::subtract (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > &r)
	Subtract: xyzTriple - xyzTriple. More...
template<typename T >
void	numeric::subtract (xyzTriple< T > const &v, T const &t, xyzTriple< T > &r)
	Subtract: xyzTriple - T. More...
template<typename T >
void	numeric::subtract (T const &t, xyzTriple< T > const &v, xyzTriple< T > &r)
	Subtract: T - xyzTriple. More...
template<typename T >
void	numeric::multiply (xyzTriple< T > const &v, T const &t, xyzTriple< T > &r)
	Multiply: xyzTriple * T. More...
template<typename T >
void	numeric::multiply (T const &t, xyzTriple< T > const &v, xyzTriple< T > &r)
	Multiply: T * xyzTriple. More...
template<typename T >
void	numeric::divide (xyzTriple< T > const &v, T const &t, xyzTriple< T > &r)
	Divide: xyzTriple / T. More...
template<typename T >
xyzTriple< T >	numeric::min (xyzTriple< T > const &a, xyzTriple< T > const &b)
	xyzTriple with min coordinates of two xyzTriples More...
template<typename T >
xyzTriple< T >	numeric::max (xyzTriple< T > const &a, xyzTriple< T > const &b)
	xyzTriple with max coordinates of two xyzTriples More...
template<typename T >
T	numeric::distance (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Distance. More...
template<typename T >
T	numeric::distance_squared (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Distance squared. More...
template<typename T >
T	numeric::dot (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Dot product. More...
template<typename T >
T	numeric::dot_product (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Dot product. More...
template<typename T >
T	numeric::inner_product (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Inner product ( == dot product ) More...
template<typename T >
xyzTriple< T >	numeric::cross (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Cross product. More...
template<typename T >
xyzTriple< T >	numeric::cross_product (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Cross product. More...
template<typename T >
void	numeric::cross (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > &c)
	Cross product: Return via argument (slightly faster) More...
template<typename T >
void	numeric::cross_product (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > &c)
	Cross product: Return via argument (slightly faster) More...
template<typename T >
xyzTriple< T >	numeric::midpoint (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Midpoint of 2 xyzTriples. More...
template<typename T >
void	numeric::midpoint (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > &m)
	Midpoint of 2 xyzTriples: Return via argument (slightly faster) More...
template<typename T >
xyzTriple< T >	numeric::center (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Center of 2 xyzTriples. More...
template<typename T >
void	numeric::center (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > &m)
	Center of 2 xyzTriples: Return via argument (slightly faster) More...
template<typename T >
xyzTriple< T >	numeric::center (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > const &c)
	Center of 3 xyzTriples. More...
template<typename T >
void	numeric::center (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > const &c, xyzTriple< T > &m)
	Center of 3 xyzTriples: Return via argument (slightly faster) More...
template<typename T >
xyzTriple< T >	numeric::center (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > const &c, xyzTriple< T > const &d)
	Center of 4 xyzTriples. More...
template<typename T >
void	numeric::center (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > const &c, xyzTriple< T > const &d, xyzTriple< T > &m)
	Center of 4 xyzTriples: Return via argument (slightly faster) More...
template<typename T >
T	numeric::angle_of (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Angle between two vectors (in radians on [ 0, pi ]) More...
template<typename T >
T	numeric::angle_of (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > const &c)
	Angle formed by three consecutive points (in radians on [ 0, pi ]) More...
template<typename T >
T	numeric::cos_of (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Cosine of angle between two vectors. More...
template<typename T >
T	numeric::cos_of (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > const &c)
	Cosine of angle formed by three consecutive points. More...
template<typename T >
T	numeric::sin_of (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Sine of angle between two vectors. More...
template<typename T >
T	numeric::sin_of (xyzTriple< T > const &a, xyzTriple< T > const &b, xyzTriple< T > const &c)
	Sine of angle formed by three consecutive points. More...
template<typename T >
bool	numeric::operator== (xyzTriple< T > const &a, xyzTriple< T > const &b)
	xyzTriple == xyzTriple More...
template<typename T >
bool	numeric::operator!= (xyzTriple< T > const &a, xyzTriple< T > const &b)
	xyzTriple != xyzTriple More...
template<typename T >
bool	numeric::operator< (xyzTriple< T > const &a, xyzTriple< T > const &b)
	xyzTriple < xyzTriple More...
template<typename T >
bool	numeric::operator<= (xyzTriple< T > const &a, xyzTriple< T > const &b)
	xyzTriple <= xyzTriple More...
template<typename T >
bool	numeric::operator>= (xyzTriple< T > const &a, xyzTriple< T > const &b)
	xyzTriple >= xyzTriple More...
template<typename T >
bool	numeric::operator> (xyzTriple< T > const &a, xyzTriple< T > const &b)
	xyzTriple > xyzTriple More...
template<typename T >
bool	numeric::operator== (xyzTriple< T > const &v, T const &t)
	xyzTriple == T More...
template<typename T >
bool	numeric::operator!= (xyzTriple< T > const &v, T const &t)
	xyzTriple != T More...
template<typename T >
bool	numeric::operator< (xyzTriple< T > const &v, T const &t)
	xyzTriple < T More...
template<typename T >
bool	numeric::operator<= (xyzTriple< T > const &v, T const &t)
	xyzTriple <= T More...
template<typename T >
bool	numeric::operator>= (xyzTriple< T > const &v, T const &t)
	xyzTriple >= T More...
template<typename T >
bool	numeric::operator> (xyzTriple< T > const &v, T const &t)
	xyzTriple > T More...
template<typename T >
bool	numeric::operator== (T const &t, xyzTriple< T > const &v)
	T == xyzTriple. More...
template<typename T >
bool	numeric::operator!= (T const &t, xyzTriple< T > const &v)
	T != xyzTriple. More...
template<typename T >
bool	numeric::operator< (T const &t, xyzTriple< T > const &v)
	T < xyzTriple. More...
template<typename T >
bool	numeric::operator<= (T const &t, xyzTriple< T > const &v)
	T <= xyzTriple. More...
template<typename T >
bool	numeric::operator>= (T const &t, xyzTriple< T > const &v)
	T >= xyzTriple. More...
template<typename T >
bool	numeric::operator> (T const &t, xyzTriple< T > const &v)
	T > xyzTriple. More...
template<typename T >
bool	numeric::equal_length (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Equal length? More...
template<typename T >
bool	numeric::not_equal_length (xyzTriple< T > const &a, xyzTriple< T > const &b)
	Not equal length? More...
template<typename U >
U	numeric::dot (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Dot product. More...
template<typename U >
U	numeric::dot_product (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Dot product. More...
template<typename U >
U	numeric::inner_product (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Inner product ( == dot product ) More...
template<typename U >
bool	numeric::equal_length (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Equal length? More...
template<typename U >
xyzTriple< U >	numeric::cross (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Cross product. More...
template<typename U >
xyzTriple< U >	numeric::cross_product (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Cross product. More...
template<typename U >
void	numeric::cross (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > &c)
	Cross product: Return via argument (slightly faster) More...
template<typename U >
void	numeric::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 >	numeric::midpoint (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Midpoint of 2 xyzTriples. More...
template<typename U >
void	numeric::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 >	numeric::center (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Center of 2 xyzTriples. More...
template<typename U >
void	numeric::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 >	numeric::center (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > const &c)
	Center of 3 xyzTriples. More...
template<typename U >
void	numeric::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 >	numeric::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	numeric::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	numeric::angle_of (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Angle between two vectors (in radians on [ 0, pi ]) More...
template<typename U >
U	numeric::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	numeric::cos_of (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Cosine of angle between two vectors. More...
template<typename U >
U	numeric::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	numeric::sin_of (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Sine of angle between two vectors. More...
template<typename U >
U	numeric::sin_of (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > const &c)
	Sine of angle formed by three consecutive points. More...
template<typename U >
U	numeric::distance_squared (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Distance squared. More...
template<typename U >
bool	numeric::not_equal_length (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Not equal length? More...
template<typename U >
void	numeric::add (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > &r)
	Add: xyzTriple + xyzTriple. More...
template<typename U >
void	numeric::add (xyzTriple< U > const &v, U const &t, xyzTriple< U > &r)
	Add: xyzTriple + Value. More...
template<typename U >
void	numeric::add (U const &t, xyzTriple< U > const &v, xyzTriple< U > &r)
	Add: Value + xyzTriple. More...
template<typename U >
void	numeric::subtract (xyzTriple< U > const &a, xyzTriple< U > const &b, xyzTriple< U > &r)
	Subtract: xyzTriple - xyzTriple. More...
template<typename U >
void	numeric::subtract (xyzTriple< U > const &v, U const &t, xyzTriple< U > &r)
	Subtract: xyzTriple - Value. More...
template<typename U >
void	numeric::subtract (U const &t, xyzTriple< U > const &v, xyzTriple< U > &r)
	Subtract: Value - xyzTriple. More...
template<typename U >
void	numeric::multiply (xyzTriple< U > const &v, U const &t, xyzTriple< U > &r)
	Multiply: xyzTriple * Value. More...
template<typename U >
void	numeric::multiply (U const &t, xyzTriple< U > const &v, xyzTriple< U > &r)
	Multiply: Value * xyzTriple. More...
template<typename U >
void	numeric::divide (xyzTriple< U > const &v, U const &t, xyzTriple< U > &r)
	Divide: xyzTriple / Value. More...
template<typename U >
xyzTriple< U >	numeric::min (xyzTriple< U > const &a, xyzTriple< U > const &b)
	xyzTriple with min coordinates of two xyzTriples More...
template<typename U >
xyzTriple< U >	numeric::max (xyzTriple< U > const &a, xyzTriple< U > const &b)
	xyzTriple with max coordinates of two xyzTriples More...
template<typename U >
U	numeric::distance (xyzTriple< U > const &a, xyzTriple< U > const &b)
	Distance. More...

Detailed Description

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

Author

Frank M. D'Ippolito (Objex.nosp@m.x@ob.nosp@m.jexx..nosp@m.com)

Stuart G. Mentzer (Stuar.nosp@m.t_Me.nosp@m.ntzer.nosp@m.@obj.nosp@m.exx.c.nosp@m.om)

Remarks

• Inline, loop-free functions for speed
• Non-virtual destructor for speed: Not set up for use as a base class
• Pointer constructor and assignment not available for xyzTriples of pointers
• Container semantics: lexicographic complete ordering