#include <Aff_transformationS2.h>

Inheritance diagram for Rotation_repS2< FT >:

Collaboration diagram for Rotation_repS2< FT >:

Public Member Functions
	Rotation_repS2 ()

	Rotation_repS2 (const FT &sinus, const FT &cosinus)

	Rotation_repS2 (const DirectionS2< FT > &d, const FT &eps_num, const FT &eps_den=FT(1))

	~Rotation_repS2 ()

PointS2< FT >	transform (const PointS2< FT > &p) const

VectorS2< FT >	transform (const VectorS2< FT > &v) const

DirectionS2< FT >	transform (const DirectionS2< FT > &d) const

Aff_transformationS2< FT >	inverse () const

Aff_transformationS2< FT >	operator* (const Aff_transformation_rep_baseS2< FT > &t)

Aff_transformationS2< FT >	compose (const Translation_repS2< FT > &t) const

virtual Aff_transformationS2< FT >	compose (const Rotation_repS2< FT > &t) const

virtual Aff_transformationS2< FT >	compose (const Scaling_repS2< FT > &t) const

virtual Aff_transformationS2< FT >	compose (const Aff_transformation_repS2< FT > &t) const

virtual bool	is_even () const

virtual FT	cartesian (int i, int j) const

virtual std::ostream &	print (std::ostream &os) const

Public Member Functions inherited from Aff_transformation_rep_baseS2< FT >
virtual	~Aff_transformation_rep_baseS2 ()

Private Attributes
FT	_sinus

FT	_cosinus

Friends
class	Aff_transformation_repS2< FT >

class	Translation_repS2< FT >

class	Scaling_repS2< FT >

Additional Inherited Members
Protected Member Functions inherited from Leda_like_rep
	Leda_like_rep ()

virtual	~Leda_like_rep ()

Protected Attributes inherited from Leda_like_rep
int	count

Detailed Description

template<class FT>
class Rotation_repS2< FT >

Definition at line 74 of file Aff_transformationS2.h.

Constructor & Destructor Documentation

Rotation_repS2 ( )

inline

Definition at line 419 of file Aff_transformationS2.h.

420 {}

Rotation_repS2	(	const FT &	sinus,
		const FT &	cosinus
	)

inline

Definition at line 422 of file Aff_transformationS2.h.

423 : _sinus(sinus), _cosinus(cosinus)

424 {}

Rotation_repS2::_sinus

FT _sinus

Definition: Aff_transformationS2.h:570

Rotation_repS2::_cosinus

FT _cosinus

Definition: Aff_transformationS2.h:571

Rotation_repS2	(	const DirectionS2< FT > &	d,
		const FT &	eps_num,
		const FT &	eps_den = `FT(1)`
	)

inline

Definition at line 426 of file Aff_transformationS2.h.

References Rotation_repS2< FT >::_cosinus, Rotation_repS2< FT >::_sinus, cos_num, denom, eps_den, eps_num, rational_rotation_approximation(), sin_num, and DirectionS2< FT >::vector().

   {
     FT sin_num;
     FT cos_num;
     FT denom;
 
     rational_rotation_approximation(d.vector().x(),
                                     d.vector().y(),
                                     sin_num,
                                     cos_num,
                                     denom,
                                     eps_num,
                                     eps_den);
     _sinus   = sin_num/denom;
     _cosinus = cos_num/denom;
   }

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~Rotation_repS2 ( )

inline

Definition at line 445 of file Aff_transformationS2.h.

446 {}

Member Function Documentation

virtual FT cartesian	(	int	i,
		int	j
	)		const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 537 of file Aff_transformationS2.h.

References Rotation_repS2< FT >::_cosinus, and Rotation_repS2< FT >::_sinus.

   {
     switch (i)
     {
     case 0: switch (j)
             {
               case 0: return _cosinus;
               case 1: return -_sinus;
               case 2: return FT(0);
             }
     case 1: switch (j)
             {
               case 0: return _sinus;
               case 1: return _cosinus;
               case 2: return FT(0);
             }
     case 2: switch (j)
             {
               case 0: return FT(0);
               case 1: return FT(0);
               case 2: return FT(1);
             }
     }
     return FT(0);
   }

Aff_transformationS2<FT> compose ( const Translation_repS2< FT > & t ) const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 488 of file Aff_transformationS2.h.

References Rotation_repS2< FT >::_cosinus, Rotation_repS2< FT >::_sinus, and Translation_repS2< FT >::_translationvector.

   {
     return Aff_transformationS2<FT>(_cosinus,
                                     -_sinus,
                                     t._translationvector.x(),
 
                                     _sinus,
                                     _cosinus,
                                     t._translationvector.y());
   }

virtual Aff_transformationS2<FT> compose ( const Rotation_repS2< FT > & t ) const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 501 of file Aff_transformationS2.h.

References Rotation_repS2< FT >::_cosinus, Rotation_repS2< FT >::_sinus, and ROTATION.

   {
     return Aff_transformationS2<FT>(ROTATION,
                                     t._sinus*_cosinus + t._cosinus*_sinus,
                                     t._cosinus*_cosinus-t._sinus*_sinus );
   }

virtual Aff_transformationS2<FT> compose ( const Scaling_repS2< FT > & t ) const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 509 of file Aff_transformationS2.h.

References Rotation_repS2< FT >::_cosinus, Scaling_repS2< FT >::_scalefactor, and Rotation_repS2< FT >::_sinus.

   {
     return Aff_transformationS2<FT>(t._scalefactor*_cosinus,
                                     t._scalefactor*-_sinus,
 
                                     t._scalefactor*_sinus,
                                     t._scalefactor*_cosinus);
   }

virtual Aff_transformationS2<FT> compose ( const Aff_transformation_repS2< FT > & t ) const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 519 of file Aff_transformationS2.h.

References Rotation_repS2< FT >::_cosinus, Rotation_repS2< FT >::_sinus, Aff_transformation_repS2< FT >::t11, Aff_transformation_repS2< FT >::t12, Aff_transformation_repS2< FT >::t13, Aff_transformation_repS2< FT >::t21, Aff_transformation_repS2< FT >::t22, and Aff_transformation_repS2< FT >::t23.

   {
     return Aff_transformationS2<FT>(_cosinus*t.t11  + _sinus*t.t12,
                                     -_sinus*t.t11  + _cosinus*t.t12,
                                     t.t13,
 
                                     _cosinus*t.t21 + _sinus*t.t22,
                                     -_sinus*t.t21 + _cosinus*t.t22,
                                     t.t23);
   }

Aff_transformationS2<FT> inverse ( ) const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 467 of file Aff_transformationS2.h.

References Rotation_repS2< FT >::_cosinus, Rotation_repS2< FT >::_sinus, and ROTATION.

   {
     return Aff_transformationS2<FT>(ROTATION,
                                     - _sinus, _cosinus, FT(1));
   }

virtual bool is_even ( ) const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 532 of file Aff_transformationS2.h.

   {
     return true;
   }

Aff_transformationS2<FT> operator* ( const Aff_transformation_rep_baseS2< FT > & t )

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 482 of file Aff_transformationS2.h.

References Aff_transformation_rep_baseS2< FT >::compose().

   {
     return t.compose(*this);
   }

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virtual std::ostream& print ( std::ostream & os ) const

inlinevirtual

Definition at line 563 of file Aff_transformationS2.h.

References Rotation_repS2< FT >::_cosinus, and Rotation_repS2< FT >::_sinus.

   {
     os << "Aff_transformationS2(" << _sinus << ", " << _cosinus <<  ")";
     return os;
   }

PointS2<FT> transform ( const PointS2< FT > & p ) const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 448 of file Aff_transformationS2.h.

References Rotation_repS2< FT >::_cosinus, Rotation_repS2< FT >::_sinus, PointS2< FT >::x(), and PointS2< FT >::y().

   {
     return PointS2<FT>(_cosinus * p.x() - _sinus * p.y(),
                        _sinus * p.x() + _cosinus * p.y());
   }

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VectorS2<FT> transform ( const VectorS2< FT > & v ) const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 454 of file Aff_transformationS2.h.

References Rotation_repS2< FT >::_cosinus, Rotation_repS2< FT >::_sinus, VectorS2< FT >::x(), and VectorS2< FT >::y().

   {
     return VectorS2<FT>(_cosinus * v.x() - _sinus * v.y(),
                         _sinus * v.x() + _cosinus * v.y());
   }

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DirectionS2<FT> transform ( const DirectionS2< FT > & d ) const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 460 of file Aff_transformationS2.h.

References Rotation_repS2< FT >::_cosinus, Rotation_repS2< FT >::_sinus, v, DirectionS2< FT >::vector(), VectorS2< FT >::x(), and VectorS2< FT >::y().

   {
     VectorS2<FT>  v = d.vector();
     return DirectionS2<FT>(_cosinus * v.x() - _sinus * v.y(),
                            _sinus * v.x() + _cosinus * v.y());
   }

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Friends And Related Function Documentation

friend class Aff_transformation_repS2< FT >

friend

Definition at line 415 of file Aff_transformationS2.h.

friend class Scaling_repS2< FT >

friend

Definition at line 417 of file Aff_transformationS2.h.

friend class Translation_repS2< FT >

friend

Definition at line 416 of file Aff_transformationS2.h.

Member Data Documentation

FT _cosinus

private

Definition at line 571 of file Aff_transformationS2.h.

Referenced by Rotation_repS2< FT >::cartesian(), Aff_transformation_repS2< FT >::compose(), Translation_repS2< FT >::compose(), Rotation_repS2< FT >::compose(), Scaling_repS2< FT >::compose(), Rotation_repS2< FT >::inverse(), Rotation_repS2< FT >::print(), Rotation_repS2< FT >::Rotation_repS2(), and Rotation_repS2< FT >::transform().

FT _sinus

private

Definition at line 570 of file Aff_transformationS2.h.

Referenced by Rotation_repS2< FT >::cartesian(), Aff_transformation_repS2< FT >::compose(), Translation_repS2< FT >::compose(), Rotation_repS2< FT >::compose(), Scaling_repS2< FT >::compose(), Rotation_repS2< FT >::inverse(), Rotation_repS2< FT >::print(), Rotation_repS2< FT >::Rotation_repS2(), and Rotation_repS2< FT >::transform().

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

Aff_transformationS2.h

Public Member Functions

Private Attributes

Friends

Additional Inherited Members

Detailed Description

template<class FT> class Rotation_repS2< FT >

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation

template<class FT>
class Rotation_repS2< FT >