Vector_3< Type > Class Template Reference

Some basic geometric data types. More...

#include <mapbasic.h>

Inheritance diagram for Vector_3< Type >:

Collaboration diagram for Vector_3< Type >:

Public Types
typedef R_	R
typedef R::RT	RT
typedef R::FT	FT
typedef R::Vector_3_base	RVector_3

Public Member Functions
	Vector_3 ()
	Vector_3 (Type t)
	Vector_3 (Null_vector)
	Vector_3 (Type a, Type b, Type c)
Type &	operator[] (const int i)
const Type &	operator[] (const int i) const
Type	x () const
Type	y () const
Type	z () const
Vector_3 &	operator+= (const Type t)
	Assign operators. More...
Vector_3 &	operator+= (const Vector_3 &v)
Vector_3 &	operator-= (const Type t)
Vector_3 &	operator-= (const Vector_3 &v)
Vector_3 &	operator*= (const Type t)
Vector_3 &	operator*= (const Vector_3 &v)
Vector_3 &	operator/= (const Type t)
Vector_3 &	operator/= (const Vector_3 &v)
Vector_3	operator+ (const Type t) const
	Arithmatic operators. More...
Vector_3	operator+ (const Vector_3 &v) const
Vector_3	operator- (const Type t) const
Vector_3	operator- (const Vector_3 &v) const
Vector_3	operator* (const Type t) const
Vector_3	operator/ (const Type t) const
Type	operator* (const Vector_3 &v) const
Vector_3	operator- () const
Type	squared_norm () const
Type	norm () const
Vector_3 &	normalize ()
Vector_3 &	neg ()
bool	operator== (const Vector_3 &p) const
bool	operator!= (const Vector_3 &p) const
bool	operator< (const Vector_3 &v) const
bool	is_null () const
	Vector_3 ()
	Vector_3 (const CGAL::Vector_3< R > &v)
	Vector_3 (const RVector_3 &v)
	Vector_3 (const Null_vector &v)
	Vector_3 (const RT &x, const RT &y, const RT &z)
	Vector_3 (const RT &x, const RT &y, const RT &z, const RT &w)
bool	operator== (const CGAL::Vector_3< R > &v) const
bool	operator!= (const CGAL::Vector_3< R > &v) const
bool	operator== (const Null_vector &v) const
bool	operator!= (const Null_vector &v) const
RT	hx () const
RT	hy () const
RT	hz () const
RT	hw () const
FT	x () const
FT	y () const
FT	z () const
RT	homogeneous (int i) const
FT	cartesian (int i) const
FT	operator[] (int i) const
int	dimension () const
CGAL::Vector_3< R >	operator+ (const CGAL::Vector_3< R > &w) const
CGAL::Vector_3< R >	operator- (const CGAL::Vector_3< R > &w) const
CGAL::Vector_3< R >	operator- () const
FT	operator* (const CGAL::Vector_3< R > &w) const
CGAL::Vector_3< R >	operator* (const RT &c) const
CGAL::Vector_3< R >	operator* (const Quotient< RT > &q) const
CGAL::Vector_3< R >	operator/ (const Quotient< RT > &q) const
CGAL::Vector_3< R >	operator/ (const RT &c) const
CGAL::Direction_3< R >	direction () const
CGAL::Vector_3< R >	transform (const CGAL::Aff_transformation_3< R > &t) const

Static Public Member Functions
static Vector_3	cross_product (const Vector_3 &v, const Vector_3 &w)

Protected Attributes
Type	_x
Type	_y
Type	_z

Private Member Functions
	Vector_3 (const CGAL::Point_3< R > &p)
	Vector_3 (const CGAL::Direction_3< R > &d)

Friends
CGAL_FRIEND_INLINE CGAL::Vector_3< R > point_to_vector_conversion	CGAL_NULL_TMPL_ARGS (const CGAL::Point_3< R > &p)

Detailed Description

template<class Type>
class Vector_3< Type >

Some basic geometric data types.

Definition at line 54 of file mapbasic.h.

Member Typedef Documentation

typedef R::FT FT

Definition at line 82 of file Vector_3.h.

typedef R_ R

Definition at line 80 of file Vector_3.h.

typedef R::RT RT

Definition at line 81 of file Vector_3.h.

typedef R::Vector_3_base RVector_3

Definition at line 83 of file Vector_3.h.

Constructor & Destructor Documentation

Vector_3 ( )

inline

Definition at line 56 of file mapbasic.h.

Referenced by Vector_3< Real >::cross_product(), Vector_3< Real >::operator*(), Vector_3< Real >::operator+(), Vector_3< Real >::operator-(), and Vector_3< Real >::operator/().

{}

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Vector_3 ( Type  t )

inlineexplicit

Definition at line 57 of file mapbasic.h.

: _x(t), _y(t), _z(t) {}

Vector_3 ( Null_vector  )

inline

Definition at line 58 of file mapbasic.h.

: _x(0), _y(0), _z(0) {}

Vector_3 ( Type  a, Type  b, Type  c  )

inline

Definition at line 59 of file mapbasic.h.

: _x(a), _y(b), _z(c) {}

Vector_3 ( )

inline

Definition at line 94 of file Vector_3.h.

  {}

Vector_3 ( const CGAL::Vector_3< R > &  v )

inline

Definition at line 96 of file Vector_3.h.

    : RVector_3( (const RVector_3& )v )
  {}

Vector_3 ( const RVector_3< Type > &  v )

inline

Definition at line 99 of file Vector_3.h.

                                : RVector_3(v)
  {}

Vector_3 ( const Null_vector &  v )

inline

Definition at line 101 of file Vector_3.h.

                                 : RVector_3(v)
  {}

Vector_3 ( const RT &  x, const RT &  y, const RT &  z  )

inline

Definition at line 103 of file Vector_3.h.

    : RVector_3(x, y, z)
  {}

Vector_3 ( const RT &  x, const RT &  y, const RT &  z, const RT &  w  )

inline

Definition at line 106 of file Vector_3.h.

    : RVector_3(x, y, z, w)
  {}

Vector_3 ( const CGAL::Point_3< R > &  p )

inlineprivate

Definition at line 172 of file Vector_3.h.

                                    : RVector_3(p)
  {}

Vector_3 ( const CGAL::Direction_3< R > &  d )

inlineprivate

Definition at line 174 of file Vector_3.h.

                                        : RVector_3(d)
  {}

Member Function Documentation

FT cartesian ( int  i ) const

inline

Definition at line 134 of file Vector_3.h.

Referenced by Vector_3< Real >::operator[]().

  { return RVector_3::cartesian(i); }

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static Vector_3 cross_product ( const Vector_3< Type > &  v, const Vector_3< Type > &  w  )

inlinestatic

Definition at line 104 of file mapbasic.h.

Referenced by Rocsurf::compute_element_normals(), compute_lbop_weights(), Rocmop::compute_medial_quadric(), Propagation_3::convert_constraints(), Window_manifold_2::elements_to_nodes(), Rocmop::evaluate_face_normals(), func1(), func2(), func3(), get_deformed_normal(), Overlay_primitives::get_face_normal(), get_face_volume(), get_normal(), Rocmop::get_redist_safe_factor(), Overlay_primitives::intersect(), Generic_element_2::Jacobian_det(), FaceOffset_3::nulaplacian_smooth(), FaceOffset_3::obtain_constrained_directions(), FaceOffset_3::obtain_face_offset(), one_sided_normal(), Overlay_primitives::project_blue_feature(), Overlay_primitives::project_green_feature(), FaceOffset_3::rescale_displacements(), and Generic_element_2::solve().

                                                                       {
    return Vector_3( v._y * w._z - v._z * w._y ,
                     v._z * w._x - v._x * w._z ,
                     v._x * w._y - v._y * w._x );
  }

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int dimension ( ) const

inline

Definition at line 138 of file Vector_3.h.

  { return 3; }

CGAL::Direction_3<R> direction ( ) const

inline

Definition at line 166 of file Vector_3.h.

  { return RVector_3::direction(); }

RT homogeneous ( int  i ) const

inline

Definition at line 132 of file Vector_3.h.

  { return RVector_3::homogeneous(i); }

RT hw ( ) const

inline

Definition at line 124 of file Vector_3.h.

  { return RVector_3::hw(); }

RT hx ( ) const

inline

Definition at line 118 of file Vector_3.h.

  { return RVector_3::hx(); }

RT hy ( ) const

inline

Definition at line 120 of file Vector_3.h.

  { return RVector_3::hy(); }

RT hz ( ) const

inline

Definition at line 122 of file Vector_3.h.

  { return RVector_3::hz(); }

bool is_null ( ) const

inline

Definition at line 133 of file mapbasic.h.

Referenced by Propagation_3::bound_spherical_disp().

{ return _x==0&&_y==0&&_z==0; }

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Vector_3& neg ( )

inline

Definition at line 120 of file mapbasic.h.

                  { 
    _x = -_x; _y = -_y; _z = -_z; return *this;
  }

Type norm ( ) const

inline

Definition at line 112 of file mapbasic.h.

Referenced by Rocmop::check_displacements(), Rocsurf::compute_edge_lengths(), compute_lbop_weights(), Window_manifold_2::compute_mcn(), Rocmop::compute_medial_quadric(), Rocmop::constrain_displacements(), FaceOffset_3::obtain_face_offset(), and Rocmop::smooth_vol_mesq_ng().

{ return std::sqrt(*this * *this); }

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Vector_3& normalize ( )

inline

Definition at line 114 of file mapbasic.h.

Referenced by Rocsurf::compute_element_normals(), Rocmop::compute_medial_quadric(), Propagation_3::convert_constraints(), Rocmop::eigen_analyze_vertex(), Rocmop::evaluate_face_normals(), FaceOffset_3::filter_and_identify_ridge_edges(), Overlay_primitives::get_face_normal(), Rocmop::get_redist_safe_factor(), Rocmop::identify_ridge_edges(), FaceOffset_3::nulaplacian_smooth(), FaceOffset_3::obtain_constrained_directions(), FaceOffset_3::obtain_directions(), FaceOffset_3::obtain_face_offset(), one_sided_normal(), project_edge(), FaceOffset_3::reclassify_ridge_vertices(), Rocmop::smooth_vol_mesq_ng(), and Window_manifold_2::update_bd_normals().

                        { 
    Type s=squared_norm();
    if ( s != Type(0)) { s=std::sqrt(s); _x/=s; _y/=s; _z/=s; }
    return *this;
  }

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bool operator!= ( const CGAL::Vector_3< R > &  v ) const

inline

Definition at line 112 of file Vector_3.h.

  { return !(*this == v); }

bool operator!= ( const Null_vector &  v ) const

inline

Definition at line 116 of file Vector_3.h.

  { return !(*this == v); }

bool operator!= ( const Vector_3< Type > &  p ) const

inline

Definition at line 126 of file mapbasic.h.

  { return x()!=p.x() || y()!=p.y() || z()!=p.z(); }

Vector_3 operator* ( const Type  t ) const

inline

Definition at line 94 of file mapbasic.h.

  { return Vector_3(_x*t, _y*t, _z*t); }

Type operator* ( const Vector_3< Type > &  v ) const

inline

Definition at line 98 of file mapbasic.h.

  { return _x*v._x + _y*v._y + _z*v._z; }

FT operator* ( const CGAL::Vector_3< R > &  w ) const

inline

Definition at line 146 of file Vector_3.h.

  { return (const RVector_3& )(*this) * (const RVector_3& )(w); }

CGAL::Vector_3<R> operator* ( const RT &  c ) const

inline

Definition at line 150 of file Vector_3.h.

  { return c * (const RVector_3& )(*this) ; }

CGAL::Vector_3<R> operator* ( const Quotient< RT > &  q ) const

inline

Definition at line 152 of file Vector_3.h.

  {
    return (q.numerator() * (const RVector_3& )(*this)) /
            q.denominator();
  }

Vector_3& operator*= ( const Type  t )

inline

Definition at line 76 of file mapbasic.h.

  { _x*=t; _y*=t; _z*=t; return *this; }

Vector_3& operator*= ( const Vector_3< Type > &  v )

inline

Definition at line 78 of file mapbasic.h.

  { _x*=v._x; _y*=v._y; _z*=v._z; return *this; }

Vector_3 operator+ ( const Type  t ) const

inline

Arithmatic operators.

Definition at line 86 of file mapbasic.h.

  { return Vector_3(_x+t, _y+t, _z+t); }

Vector_3 operator+ ( const Vector_3< Type > &  v ) const

inline

Definition at line 88 of file mapbasic.h.

  { return Vector_3(_x+v._x, _y+v._y, _z+v._z); }

CGAL::Vector_3<R> operator+ ( const CGAL::Vector_3< R > &  w ) const

inline

Definition at line 140 of file Vector_3.h.

  { return (const RVector_3& )(*this) + (const RVector_3& )(w); }

Vector_3& operator+= ( const Type  t )

inline

Assign operators.

Definition at line 68 of file mapbasic.h.

  { _x+=t; _y+=t; _z+=t; return *this; }

Vector_3& operator+= ( const Vector_3< Type > &  v )

inline

Definition at line 70 of file mapbasic.h.

  { _x+=v._x; _y+=v._y; _z+=v._z; return *this; }

Vector_3 operator- ( const Type  t ) const

inline

Definition at line 90 of file mapbasic.h.

  { return Vector_3(_x-t, _y-t, _z-t); }

Vector_3 operator- ( const Vector_3< Type > &  v ) const

inline

Definition at line 92 of file mapbasic.h.

  { return Vector_3(_x-v._x, _y-v._y, _z-v._z); }

Vector_3 operator- ( ) const

inline

Definition at line 101 of file mapbasic.h.

  { return Vector_3(-_x, -_y, -_z); }

CGAL::Vector_3<R> operator- ( const CGAL::Vector_3< R > &  w ) const

inline

Definition at line 142 of file Vector_3.h.

  { return (const RVector_3& )(*this) - (const RVector_3& )(w); }

CGAL::Vector_3<R> operator- ( ) const

inline

Definition at line 144 of file Vector_3.h.

  { return RVector_3::operator-(); }

Vector_3& operator-= ( const Type  t )

inline

Definition at line 72 of file mapbasic.h.

  { _x-=t; _y-=t; _z-=t; return *this; }

Vector_3& operator-= ( const Vector_3< Type > &  v )

inline

Definition at line 74 of file mapbasic.h.

  { _x-=v._x; _y-=v._y; _z-=v._z; return *this; }

Vector_3 operator/ ( const Type  t ) const

inline

Definition at line 96 of file mapbasic.h.

  { return Vector_3(_x/t, _y/t, _z/t); }

CGAL::Vector_3<R> operator/ ( const Quotient< RT > &  q ) const

inline

Definition at line 157 of file Vector_3.h.

  {
    return (q.denominator() * (const RVector_3& )(*this)) /
            q.numerator();
  }

CGAL::Vector_3<R> operator/ ( const RT &  c ) const

inline

Definition at line 164 of file Vector_3.h.

  { return (const RVector_3& )(*this) / c; }

Vector_3& operator/= ( const Type  t )

inline

Definition at line 80 of file mapbasic.h.

  { _x/=t; _y/=t; _z/=t; return *this; }

Vector_3& operator/= ( const Vector_3< Type > &  v )

inline

Definition at line 82 of file mapbasic.h.

  { _x/=v._x; _y/=v._y; _z/=v._z; return *this; }

bool operator< ( const Vector_3< Type > &  v ) const

inline

Definition at line 129 of file mapbasic.h.

Referenced by Point_3< Real >::operator<().

  { return _x<v._x || _x==v._x && _y<v._y || 
      _x==v._x && _y==v._y && _z<v._z; }

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bool operator== ( const CGAL::Vector_3< R > &  v ) const

inline

Definition at line 110 of file Vector_3.h.

  { return RVector_3::operator==(v); }

bool operator== ( const Null_vector &  v ) const

inline

Definition at line 114 of file Vector_3.h.

  { return RVector_3::operator==(v); }

bool operator== ( const Vector_3< Type > &  p ) const

inline

Definition at line 124 of file mapbasic.h.

  { return x()==p.x() && y()==p.y() && z()==p.z(); }

Type& operator[] ( const int  i )

inline

Definition at line 60 of file mapbasic.h.

{ return (&_x)[i]; }

const Type& operator[] ( const int  i ) const

inline

Definition at line 61 of file mapbasic.h.

{ return (&_x)[i]; }

FT operator[] ( int  i ) const

inline

Definition at line 136 of file Vector_3.h.

  { return cartesian(i); }

Type squared_norm ( ) const

inline

Definition at line 110 of file mapbasic.h.

Referenced by Propagation_3::bound_spherical_disp(), Window_manifold_2::elements_to_nodes(), FaceOffset_3::eval_angle(), Rocmop::get_constraint_directions(), Vector_3< Real >::normalize(), and Generic_element_2::solve().

{ return *this * *this; }

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CGAL::Vector_3<R> transform ( const CGAL::Aff_transformation_3< R > &  t ) const

inline

Definition at line 168 of file Vector_3.h.

  { return RVector_3::transform(t); }

Type x ( ) const

inline

Definition at line 63 of file mapbasic.h.

Referenced by Vector_3< Real >::operator!=(), Point_3< Real >::operator+(), Point_3< Real >::operator+=(), Point_3< Real >::operator-(), Point_3< Real >::operator-=(), operator<<(), and Vector_3< Real >::operator==().

{ return _x; }

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FT x ( ) const

inline

Definition at line 126 of file Vector_3.h.

  { return RVector_3::x(); }

Type y ( ) const

inline

Definition at line 64 of file mapbasic.h.

Referenced by Vector_3< Real >::operator!=(), Point_3< Real >::operator+(), Point_3< Real >::operator+=(), Point_3< Real >::operator-(), Point_3< Real >::operator-=(), and Vector_3< Real >::operator==().

{ return _y; }

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FT y ( ) const

inline

Definition at line 128 of file Vector_3.h.

  { return RVector_3::y(); }

Type z ( ) const

inline

Definition at line 65 of file mapbasic.h.

Referenced by Vector_3< Real >::operator!=(), Point_3< Real >::operator+(), Point_3< Real >::operator+=(), Point_3< Real >::operator-(), Point_3< Real >::operator-=(), and Vector_3< Real >::operator==().

{ return _z; }

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FT z ( ) const

inline

Definition at line 130 of file Vector_3.h.

  { return RVector_3::z(); }

Friends And Related Function Documentation

CGAL_FRIEND_INLINE CGAL::Vector_3<R> point_to_vector_conversion CGAL_NULL_TMPL_ARGS ( const CGAL::Point_3< R > &  p )

friend

Member Data Documentation

Type _x

protected

Definition at line 135 of file mapbasic.h.

Referenced by Vector_3< Real >::cross_product(), Vector_3< Real >::is_null(), Vector_3< Real >::neg(), Vector_3< Real >::normalize(), Vector_3< Real >::operator*(), Vector_3< Real >::operator*=(), Vector_3< Real >::operator+(), Vector_3< Real >::operator+=(), Vector_3< Real >::operator-(), Vector_3< Real >::operator-=(), Vector_3< Real >::operator/(), Vector_3< Real >::operator/=(), Vector_3< Real >::operator<(), Vector_3< Real >::operator[](), and Vector_3< Real >::x().

Type _y

protected

Definition at line 135 of file mapbasic.h.

Referenced by Vector_3< Real >::cross_product(), Vector_3< Real >::is_null(), Vector_3< Real >::neg(), Vector_3< Real >::normalize(), Vector_3< Real >::operator*(), Vector_3< Real >::operator*=(), Vector_3< Real >::operator+(), Vector_3< Real >::operator+=(), Vector_3< Real >::operator-(), Vector_3< Real >::operator-=(), Vector_3< Real >::operator/(), Vector_3< Real >::operator/=(), Vector_3< Real >::operator<(), and Vector_3< Real >::y().

Type _z

protected

Definition at line 135 of file mapbasic.h.

Referenced by Vector_3< Real >::cross_product(), Vector_3< Real >::is_null(), Vector_3< Real >::neg(), Vector_3< Real >::normalize(), Vector_3< Real >::operator*(), Vector_3< Real >::operator*=(), Vector_3< Real >::operator+(), Vector_3< Real >::operator+=(), Vector_3< Real >::operator-(), Vector_3< Real >::operator-=(), Vector_3< Real >::operator/(), Vector_3< Real >::operator/=(), Vector_3< Real >::operator<(), and Vector_3< Real >::z().

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

• mapbasic.h
• Vector_3.h