basic_algebraic_primitives Struct Template Reference

#include <algebraic-primitives.h>

Inheritance diagram for basic_algebraic_primitives:

[legend]Collaboration diagram for basic_algebraic_primitives:

Public Types
typedef point_traits< POINT >	pt
typedef pt::component_type	scalar
typedef scalar	real
Static Public Methods
scalar	sqr (scalar x)
scalar	dot (const POINT &p, const POINT &q)
scalar	distance2 (const POINT &p1, const POINT &p2)
scalar	distance (const POINT &p1, const POINT &p2)
scalar	squared_norm_2 (const POINT &p)
real	norm_2 (const POINT &p)
POINT	normalization (const POINT &p)
void	normalize (POINT &p)
real	norm_1 (POINT const &p)
real	norm_infinity (POINT const &p)
real	rel_diff (POINT const &p1, POINT const &p2)
scalar	cos_of_angle (const POINT &p, const POINT &q)
	calculate the cosine of the angle in radians between p and q. More...
scalar	angle (const POINT &p, const POINT &q)
	calculate the angle in radians between p and q. More...

template<class POINT>
struct basic_algebraic_primitives< POINT >

Member Typedef Documentation

template<class POINT>

typedef point_traits<POINT> basic_algebraic_primitives::pt

Definition at line 45 of file algebraic-primitives.h.

template<class POINT>

typedef scalar basic_algebraic_primitives::real

Definition at line 47 of file algebraic-primitives.h.
Referenced by dimension_dependent_primitives_3d::condition, dimension_dependent_primitives_3d::matrixnorm_1, dimension_dependent_primitives_3d::matrixnorm_frobenius, dimension_dependent_primitives_3d::matrixnorm_infinity, basic_algebraic_primitives< point >::norm_1, basic_algebraic_primitives< point >::norm_2, basic_algebraic_primitives< point >::norm_infinity, and basic_algebraic_primitives< point >::rel_diff.

Member Function Documentation

template<class POINT>

scalar basic_algebraic_primitives< POINT >::sqr ( scalar x ) [inline, static]

Definition at line 50 of file algebraic-primitives.h.
Referenced by basic_algebraic_primitives< point >::distance2, and basic_algebraic_primitives< point >::squared_norm_2.

template<class POINT>

scalar basic_algebraic_primitives< POINT >::dot ( const POINT & p,

const POINT & q

) [inline, static]

Definition at line 52 of file algebraic-primitives.h.
Referenced by basic_algebraic_primitives< point >::cos_of_angle.

template<class POINT>

scalar basic_algebraic_primitives< POINT >::distance2 ( const POINT & p1,

const POINT & p2

) [inline, static]

Definition at line 64 of file algebraic-primitives.h.
Referenced by basic_algebraic_primitives< point >::distance.

template<class POINT>

scalar basic_algebraic_primitives< POINT >::distance ( const POINT & p1,

const POINT & p2

) [inline, static]

Definition at line 72 of file algebraic-primitives.h.

template<class POINT>

scalar basic_algebraic_primitives< POINT >::squared_norm_2 ( const POINT & p ) [inline, static]

Definition at line 75 of file algebraic-primitives.h.
Referenced by dimension_dependent_primitives_3d::matrixnorm_frobenius, and basic_algebraic_primitives< point >::norm_2.

template<class POINT>

real basic_algebraic_primitives< POINT >::norm_2 ( const POINT & p ) [inline, static]

Definition at line 84 of file algebraic-primitives.h.
Referenced by dimension_dependent_primitives_3d::condition, basic_algebraic_primitives< point >::cos_of_angle, basic_algebraic_primitives< point >::normalization, dimension_dependent_primitives_2d::normed_normal, basic_algebraic_primitives< point >::rel_diff, and dimension_dependent_primitives_3d::triangle_area.

template<class POINT>

POINT basic_algebraic_primitives< POINT >::normalization ( const POINT & p ) [inline, static]

Definition at line 85 of file algebraic-primitives.h.
Referenced by basic_algebraic_primitives< point >::normalize.

template<class POINT>

void basic_algebraic_primitives< POINT >::normalize ( POINT & p ) [inline, static]

Definition at line 86 of file algebraic-primitives.h.

template<class POINT>

real basic_algebraic_primitives< POINT >::norm_1 ( POINT const & p ) [inline, static]

Definition at line 88 of file algebraic-primitives.h.
Referenced by dimension_dependent_primitives_3d::matrixnorm_1.

template<class POINT>

real basic_algebraic_primitives< POINT >::norm_infinity ( POINT const & p ) [inline, static]

Definition at line 95 of file algebraic-primitives.h.

template<class POINT>

real basic_algebraic_primitives< POINT >::rel_diff ( POINT const & p1,

POINT const & p2

) [inline, static]

Definition at line 104 of file algebraic-primitives.h.

template<class POINT>

scalar basic_algebraic_primitives< POINT >::cos_of_angle ( const POINT & p,

const POINT & q

) [inline, static]

calculate the cosine of the angle in radians between p and q.
The result is oriented such that a rotation about with axis p x q will map p to q.
Definition at line 119 of file algebraic-primitives.h.
Referenced by basic_algebraic_primitives< point >::angle.

template<class POINT>

scalar basic_algebraic_primitives< POINT >::angle ( const POINT & p,

const POINT & q

) [inline, static]

calculate the angle in radians between p and q.
The result is oriented such that a rotation about with axis p x q will map p to q.
Definition at line 127 of file algebraic-primitives.h.

The documentation for this struct was generated from the following file:

Geometry/algebraic-primitives.h

Generated at Tue Feb 26 15:57:31 2002 for Geometry by

basic_algebraic_primitives Struct Template Reference

Public Types

Static Public Methods

template<class POINT> struct basic_algebraic_primitives< POINT >

Member Typedef Documentation

Member Function Documentation

template<class POINT>
struct basic_algebraic_primitives< POINT >