#include <Aff_transformationS2.h>

Inheritance diagram for Aff_transformation_repS2< FT >:

Collaboration diagram for Aff_transformation_repS2< FT >:

Public Member Functions
	Aff_transformation_repS2 ()

	Aff_transformation_repS2 (const FT &m11, const FT &m12, const FT &m21, const FT &m22)

	Aff_transformation_repS2 (const FT &m11, const FT &m12, const FT &m13, const FT &m21, const FT &m22, const FT &m23)

	~Aff_transformation_repS2 ()

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

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

DirectionS2< FT >	transform (const DirectionS2< FT > &dir) 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	t11

FT	t12

FT	t13

FT	t21

FT	t22

FT	t23

Friends
class	Translation_repS2< FT >

class	Rotation_repS2< FT >

class	Scaling_repS2< FT >

class	Aff_transformationS2< 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 Aff_transformation_repS2< FT >

Definition at line 80 of file Aff_transformationS2.h.

Constructor & Destructor Documentation

Aff_transformation_repS2 ( )

inline

Definition at line 139 of file Aff_transformationS2.h.

140 {}

Aff_transformation_repS2	(	const FT &	m11,
		const FT &	m12,
		const FT &	m21,
		const FT &	m22
	)

inline

Definition at line 142 of file Aff_transformationS2.h.

     : t11(m11), t12(m12), t13(0),
       t21(m21), t22(m22), t23(0)
   {}

Aff_transformation_repS2	(	const FT &	m11,
		const FT &	m12,
		const FT &	m13,
		const FT &	m21,
		const FT &	m22,
		const FT &	m23
	)

inline

Definition at line 148 of file Aff_transformationS2.h.

     : t11(m11), t12(m12), t13(m13),
       t21(m21), t22(m22), t23(m23)
   {}

~Aff_transformation_repS2 ( )

inline

Definition at line 154 of file Aff_transformationS2.h.

155 {}

Member Function Documentation

virtual FT cartesian	(	int	i,
		int	j
	)		const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 251 of file Aff_transformationS2.h.

References 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.

   {
     switch (i)
     {
     case 0: switch (j)
             {
               case 0: return t11;
               case 1: return t12;
               case 2: return t13;
             }
     case 1: switch (j)
             {
               case 0: return t21;
               case 1: return t22;
               case 2: return t23;
             }
     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 204 of file Aff_transformationS2.h.

References Translation_repS2< FT >::_translationvector, 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>(t11,
                                     t12,
                                     t13 + t._translationvector.x(),
                                     t21,
                                     t22,
                                     t23 + t._translationvector.y());
   }

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

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 214 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>(t._cosinus*t11 - t._sinus*t21,
                                     t._cosinus*t12 - t._sinus*t22,
                                     t._cosinus*t13 - t._sinus*t23,
                                     t._sinus*t11 + t._cosinus*t21,
                                     t._sinus*t12 + t._cosinus*t22,
                                     t._sinus*t13 + t._cosinus*t23);
   }

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

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 224 of file Aff_transformationS2.h.

References Scaling_repS2< FT >::_scalefactor, 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>(t._scalefactor * t11,
                                      t._scalefactor * t12,
                                      t._scalefactor * t13,
                                      t._scalefactor * t21,
                                      t._scalefactor * t22,
                                      t._scalefactor * t23);
   }

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

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 234 of file Aff_transformationS2.h.

References 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>(t.t11*t11 + t.t12*t21,
                                     t.t11*t12 + t.t12*t22,
                                     t.t11*t13 + t.t12*t23 + t.t13,
                                     t.t21*t11 + t.t22*t21,
                                     t.t21*t12 + t.t22*t22,
                                     t.t21*t13 + t.t22*t23 + t.t23 );
   }

Aff_transformationS2<FT> inverse ( ) const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 180 of file Aff_transformationS2.h.

References Mesquite::det(), 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.

   {
     FT det = FT(1) / (t11 * t22 - t12 * t21);
 
     return Aff_transformationS2<FT>(
       det * t22,    det * (-t12), det * (t12*t23-t13*t22),
       det * (-t21), det * t11 ,   det * (t13*t21-t11*t23));
   }

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virtual bool is_even ( ) const

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 246 of file Aff_transformationS2.h.

References POSITIVE, sign_of_determinant2x2(), Aff_transformation_repS2< FT >::t11, Aff_transformation_repS2< FT >::t12, Aff_transformation_repS2< FT >::t21, and Aff_transformation_repS2< FT >::t22.

   {
     return sign_of_determinant2x2(t11, t12, t21, t22) == POSITIVE;
   }

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

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 198 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 277 of file Aff_transformationS2.h.

References 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.

Referenced by a_d_tensors(), ainv(), apn_input_0d(), arruda_boyce(), arruda_boyce_cauchy(), burn_initialize(), m_rocburn_1d_apn::check_alloc(), m_rocburn_1d_zn::check_alloc(), m_rocburn_2d::check_alloc(), compositestiffnes(), createk(), createm(), cst_coh(), element_sub(), eshelby(), feminp(), glbthermcap(), glbthermstiff(), setup_py::grid(), heat_transfer_sub(), homogenizedmat(), implicit_initialize(), implicit_soln(), implicit_v3d8_mass_consistent(), implicit_v3d8_me_k(), updatestructuralsoln::internalforce_v3d10(), invert2(), linked_list2::list_procelemlist(), locthermcap_v3d8(), locthermstiff_v3d8(), matmodel_elastic(), matmodel_hyperelastic(), matous_const_model(), matvol_sub(), mesh2d(), mesh2doverlay(), meshsoft_sub(), micromechanical_sub(), newcommlist(), newton(), partition_ceff(), plag_allocatememorypost(), plag_binsortnozzleinlet(), plag_binsortspatialdist(), plag_cecellsexchange(), plag_cecellsrecvdata(), plag_cecellssendsize(), plag_corncellsloaddata(), plag_corncellsloadsendbuff(), plag_edgecellsloaddata(), plag_edgecellsloadsendbuff(), plag_modinjection::plag_invokeconsrandejec(), plag_processeulerfield(), plag_readsolutionfilepost(), plag_readstatpost(), plag_writestattecascii(), read_io_files(), read_patran(), readinp(), readsdv(), rflo_modforcesmoments::rflo_openforcemomcofile(), rflo_openprobefile(), rflu_modnewtonkrylov::rflu_nk_timestepping(), rocburn_load_module(), rocfracmain::rocfracinitialize(), rocfracsubinterface::rocfracinterfaceinitial(), rocfracprep(), rocfracmain::rocfracsoln(), rockout_8node(), scale_mesh(), solve_x(), testconst(), thermal_initialize(), thermal_soln(), tractpressload(), v3d10_capacitance(), v3d10_mass(), v3d4(), v3d4_capacitance(), v3d4_mass(), v3d4_nl_arruda_boyce(), v3d4_thermalexp(), v3d4_thermalexp2(), v3d4n_mass(), vol_elem_mat_matous(), volratio(), write_output_2(), zn(), zn_calc_burning_rate(), zn_gen_grid(), zn_input_0d(), and zn_sswsb().

   {
     os << "Aff_transformationS2(" << t11 << " " << t12 << " " << t13 << std::endl;
     os << "                     " << t21 << " " << t22 << " " << t23 << ")";
     return os;
   }

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

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 157 of file Aff_transformationS2.h.

References 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, Aff_transformation_repS2< FT >::t23, PointS2< FT >::x(), and PointS2< FT >::y().

   {
     return PointS2<FT>(t11 * p.x() + t12 * p.y() + t13,
                        t21 * p.x() + t22 * p.y() + t23);
   }

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

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 165 of file Aff_transformationS2.h.

References Aff_transformation_repS2< FT >::t11, Aff_transformation_repS2< FT >::t12, Aff_transformation_repS2< FT >::t21, Aff_transformation_repS2< FT >::t22, VectorS2< FT >::x(), and VectorS2< FT >::y().

   {
     return VectorS2<FT>(t11 * v.x() + t12 * v.y(),
                         t21 * v.x() + t22 * v.y());
   }

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

inlinevirtual

Implements Aff_transformation_rep_baseS2< FT >.

Definition at line 173 of file Aff_transformationS2.h.

References Aff_transformation_repS2< FT >::t11, Aff_transformation_repS2< FT >::t12, Aff_transformation_repS2< FT >::t21, Aff_transformation_repS2< FT >::t22, v, DirectionS2< FT >::vector(), VectorS2< FT >::x(), and VectorS2< FT >::y().

   {
     VectorS2<FT> v = dir.vector();
     return DirectionS2<FT>(t11 * v.x() + t12 * v.y(),
                            t21 * v.x() + t22 * v.y());
   }