TGLBoundingBox Class Reference

#include <TGLBoundingBox.h>

List of all members.

Public Types

enum  EFace
enum  EFace

Public Member Functions

 TGLBoundingBox ()
 TGLBoundingBox (const TGLVertex3 vertex[8])
 TGLBoundingBox (const Double_t vertex[8][3])
 TGLBoundingBox (const TGLVertex3 &lowVertex, const TGLVertex3 &highVertex)
 TGLBoundingBox (const TGLBoundingBox &other)
virtual ~TGLBoundingBox ()
TGLBoundingBox & operator= (const TGLBoundingBox &other)
void Set (const TGLVertex3 vertex[8])
void Set (const Double_t vertex[8][3])
void Set (const TGLBoundingBox &other)
void SetEmpty ()
void SetAligned (const TGLVertex3 &lowVertex, const TGLVertex3 &highVertex)
void SetAligned (UInt_t nbPnts, const Double_t *pnts)
void MergeAligned (const TGLBoundingBox &other)
void ExpandAligned (const TGLVertex3 &point)
void Transform (const TGLMatrix &matrix)
void Scale (Double_t factor)
void Scale (Double_t xFactor, Double_t yFactor, Double_t zFactor)
void Translate (const TGLVector3 &offset)
const TGLVertex3 & operator[] (UInt_t index) const
const TGLVertex3 & Vertex (UInt_t index) const
Double_t XMin () const
Double_t XMax () const
Double_t YMin () const
Double_t YMax () const
Double_t ZMin () const
Double_t ZMax () const
TGLVertex3 MinAAVertex () const
TGLVertex3 MaxAAVertex () const
const TGLVertex3 * Vertices () const
Int_t NumVertices () const
const std::vector< UInt_t > & FaceVertices (EFace face) const
TGLVertex3 Center () const
TGLVector3 Extents () const
const TGLVector3 & Axis (UInt_t i, Bool_t normalised=kTRUE) const
Bool_t IsEmpty () const
Double_t Volume () const
Double_t Diagonal () const
void PlaneSet (TGLPlaneSet_t &planeSet) const
TGLPlane GetNearPlane () const
EOverlap Overlap (const TGLPlane &plane) const
EOverlap Overlap (const TGLBoundingBox &box) const
void Draw (Bool_t solid=kFALSE) const
void Dump () const
 ClassDef (TGLBoundingBox, 0)
 TGLBoundingBox ()
 TGLBoundingBox (const TGLVertex3 vertex[8])
 TGLBoundingBox (const Double_t vertex[8][3])
 TGLBoundingBox (const TGLVertex3 &lowVertex, const TGLVertex3 &highVertex)
 TGLBoundingBox (const TGLBoundingBox &other)
virtual ~TGLBoundingBox ()
TGLBoundingBox & operator= (const TGLBoundingBox &other)
void Set (const TGLVertex3 vertex[8])
void Set (const Double_t vertex[8][3])
void Set (const TGLBoundingBox &other)
void SetEmpty ()
void SetAligned (const TGLVertex3 &lowVertex, const TGLVertex3 &highVertex)
void SetAligned (UInt_t nbPnts, const Double_t *pnts)
void MergeAligned (const TGLBoundingBox &other)
void ExpandAligned (const TGLVertex3 &point)
void Transform (const TGLMatrix &matrix)
void Scale (Double_t factor)
void Scale (Double_t xFactor, Double_t yFactor, Double_t zFactor)
void Translate (const TGLVector3 &offset)
const TGLVertex3 & operator[] (UInt_t index) const
const TGLVertex3 & Vertex (UInt_t index) const
Double_t XMin () const
Double_t XMax () const
Double_t YMin () const
Double_t YMax () const
Double_t ZMin () const
Double_t ZMax () const
TGLVertex3 MinAAVertex () const
TGLVertex3 MaxAAVertex () const
const TGLVertex3 * Vertices () const
Int_t NumVertices () const
const std::vector< UInt_t > & FaceVertices (EFace face) const
TGLVertex3 Center () const
TGLVector3 Extents () const
const TGLVector3 & Axis (UInt_t i, Bool_t normalised=kTRUE) const
Bool_t IsEmpty () const
Double_t Volume () const
Double_t Diagonal () const
void PlaneSet (TGLPlaneSet_t &planeSet) const
TGLPlane GetNearPlane () const
EOverlap Overlap (const TGLPlane &plane) const
EOverlap Overlap (const TGLBoundingBox &box) const
void Draw (Bool_t solid=kFALSE) const
void Dump () const
 ClassDef (TGLBoundingBox, 0)

Private Member Functions

void UpdateCache ()
 normalised box axes in global frame - cached for speed
Bool_t ValidIndex (UInt_t index) const
Double_t Min (UInt_t index) const
Double_t Max (UInt_t index) const
void UpdateCache ()
 normalised box axes in global frame - cached for speed
Bool_t ValidIndex (UInt_t index) const
Double_t Min (UInt_t index) const
Double_t Max (UInt_t index) const

Private Attributes

TGLVertex3 fVertex [8]
Double_t fVolume
 the 8 bounding box vertices
Double_t fDiagonal
 box volume - cached for speed
TGLVector3 fAxes [3]
 max box diagonal - cached for speed
TGLVector3 fAxesNorm [3]
 box axes in global frame - cached for speed

Detailed Description

Definition at line 32 of file TGLBoundingBox.h.

Member Enumeration Documentation

enum TGLBoundingBox::EFace

Definition at line 113 of file TGLBoundingBox.h.

enum TGLBoundingBox::EFace

Definition at line 113 of file TGLBoundingBox.h.

Constructor & Destructor Documentation

TGLBoundingBox::TGLBoundingBox (  ) 

TGLBoundingBox::TGLBoundingBox ( const TGLVertex3  vertex[8]  ) 

Definition at line 38 of file TGLBoundingBox.cxx.

References Set().

TGLBoundingBox::TGLBoundingBox ( const Double_t  vertex[8][3]  ) 

Definition at line 45 of file TGLBoundingBox.cxx.

References Set().

TGLBoundingBox::TGLBoundingBox ( const TGLVertex3 &  lowVertex,
const TGLVertex3 &  highVertex 
)

Definition at line 52 of file TGLBoundingBox.cxx.

References SetAligned().

TGLBoundingBox::TGLBoundingBox ( const TGLBoundingBox &  other  ) 

Definition at line 59 of file TGLBoundingBox.cxx.

References Set().

TGLBoundingBox::~TGLBoundingBox (  )  [virtual]

Definition at line 66 of file TGLBoundingBox.cxx.

TGLBoundingBox::TGLBoundingBox (  ) 

TGLBoundingBox::TGLBoundingBox ( const TGLVertex3  vertex[8]  ) 

TGLBoundingBox::TGLBoundingBox ( const Double_t  vertex[8][3]  ) 

TGLBoundingBox::TGLBoundingBox ( const TGLVertex3 &  lowVertex,
const TGLVertex3 &  highVertex 
)

TGLBoundingBox::TGLBoundingBox ( const TGLBoundingBox &  other  ) 

virtual TGLBoundingBox::~TGLBoundingBox (  )  [virtual]

Member Function Documentation

void TGLBoundingBox::UpdateCache (  )  [private]

normalised box axes in global frame - cached for speed

Definition at line 72 of file TGLBoundingBox.cxx.

References TMath::Abs(), Cross(), Extents(), fAxes, fAxesNorm, fDiagonal, fVertex, fVolume, i, kFALSE, kTRUE, TGLVector3::Mag(), TGLVertex3::Set(), TGLVertex3::X(), TGLVertex3::Y(), and TGLVertex3::Z().

Referenced by Scale(), Set(), SetAligned(), SetEmpty(), and Transform().

Bool_t TGLBoundingBox::ValidIndex ( UInt_t  index  )  const [inline, private]

Definition at line 66 of file TGLBoundingBox.h.

Double_t TGLBoundingBox::Min ( UInt_t  index  )  const [private]

Definition at line 712 of file TGLBoundingBox.cxx.

References fVertex, and min.

Referenced by MinAAVertex(), XMin(), YMin(), and ZMin().

Double_t TGLBoundingBox::Max ( UInt_t  index  )  const [private]

Definition at line 725 of file TGLBoundingBox.cxx.

References fVertex, and max.

Referenced by MaxAAVertex(), XMax(), YMax(), and ZMax().

TGLBoundingBox & TGLBoundingBox::operator= ( const TGLBoundingBox &  other  )  [inline]

Definition at line 137 of file TGLBoundingBox.h.

References Set().

void TGLBoundingBox::Set ( const TGLVertex3  vertex[8]  ) 

Definition at line 126 of file TGLBoundingBox.cxx.

References fVertex, and UpdateCache().

Referenced by MergeAligned(), operator=(), Set(), TGLParametricEquationGL::SetBBox(), TH2GL::SetBBox(), TH3GL::SetBBox(), TF2GL::SetBBox(), TGLBoundingBox(), TGLLogicalShape::TGLLogicalShape(), and TGLPhysicalShape::UpdateBoundingBox().

void TGLBoundingBox::Set ( const Double_t  vertex[8][3]  ) 

Definition at line 137 of file TGLBoundingBox.cxx.

References a, fVertex, and UpdateCache().

void TGLBoundingBox::Set ( const TGLBoundingBox &  other  ) 

Definition at line 150 of file TGLBoundingBox.cxx.

References fVertex, Set(), and UpdateCache().

void TGLBoundingBox::SetEmpty (  ) 

Definition at line 161 of file TGLBoundingBox.cxx.

References fVertex, and UpdateCache().

Referenced by TGLViewerBase::MergeSceneBBoxes(), TGLViewerBase::PreRender(), TGLCamera::ResetInterest(), and TEveTextGL::SetBBox().

void TGLBoundingBox::SetAligned ( const TGLVertex3 &  lowVertex,
const TGLVertex3 &  highVertex 
)

Definition at line 172 of file TGLBoundingBox.cxx.

References Error, fVertex, UpdateCache(), TGLVertex3::X(), TGLVertex3::Y(), and TGLVertex3::Z().

Referenced by TGLScene::CalcBoundingBox(), TEveTextGL::DirectDraw(), ExpandAligned(), MergeAligned(), SetAligned(), TGLObject::SetAxisAlignedBBox(), TGLBoundingBox(), and TGLLogicalShape::TGLLogicalShape().

void TGLBoundingBox::SetAligned ( UInt_t  nbPnts,
const Double_t *  pnts 
)

Definition at line 209 of file TGLBoundingBox.cxx.

References high, i, low, p, and SetAligned().

void TGLBoundingBox::MergeAligned ( const TGLBoundingBox &  other  ) 

Definition at line 237 of file TGLBoundingBox.cxx.

References high, IsEmpty(), low, MaxAAVertex(), MinAAVertex(), Set(), and SetAligned().

Referenced by TGLViewerBase::MergeSceneBBoxes(), and TGLViewerBase::PreRender().

void TGLBoundingBox::ExpandAligned ( const TGLVertex3 &  point  ) 

Definition at line 259 of file TGLBoundingBox.cxx.

References high, low, MaxAAVertex(), MinAAVertex(), and SetAligned().

void TGLBoundingBox::Transform ( const TGLMatrix &  matrix  ) 

Definition at line 330 of file TGLBoundingBox.cxx.

References fVertex, and UpdateCache().

Referenced by TGLPhysicalShape::UpdateBoundingBox().

void TGLBoundingBox::Scale ( Double_t  factor  ) 

Definition at line 274 of file TGLBoundingBox.cxx.

References UpdateCache().

Referenced by TGLCamera::UpdateInterest().

void TGLBoundingBox::Scale ( Double_t  xFactor,
Double_t  yFactor,
Double_t  zFactor 
)

Definition at line 283 of file TGLBoundingBox.cxx.

References Axis(), fVertex, kFALSE, and UpdateCache().

void TGLBoundingBox::Translate ( const TGLVector3 &  offset  ) 

Definition at line 319 of file TGLBoundingBox.cxx.

References fVertex.

const TGLVertex3 & TGLBoundingBox::operator[] ( UInt_t  index  )  const [inline]

Definition at line 147 of file TGLBoundingBox.h.

References fVertex.

const TGLVertex3 & TGLBoundingBox::Vertex ( UInt_t  index  )  const [inline]

Definition at line 153 of file TGLBoundingBox.h.

References fVertex.

Double_t TGLBoundingBox::XMin (  )  const [inline]

Definition at line 100 of file TGLBoundingBox.h.

References Min().

Referenced by TGLScenePad::AddHistoPhysical(), TGLUtil::DrawSimpleAxes(), and TGLAxisPainterBox::PlotStandard().

Double_t TGLBoundingBox::XMax (  )  const [inline]

Definition at line 101 of file TGLBoundingBox.h.

References Max().

Referenced by TGLScenePad::AddHistoPhysical(), TGLUtil::DrawSimpleAxes(), and TGLAxisPainterBox::PlotStandard().

Double_t TGLBoundingBox::YMin (  )  const [inline]

Definition at line 102 of file TGLBoundingBox.h.

References Min().

Referenced by TGLUtil::DrawSimpleAxes(), and TGLAxisPainterBox::PlotStandard().

Double_t TGLBoundingBox::YMax (  )  const [inline]

Definition at line 103 of file TGLBoundingBox.h.

References Max().

Referenced by TGLUtil::DrawSimpleAxes(), and TGLAxisPainterBox::PlotStandard().

Double_t TGLBoundingBox::ZMin (  )  const [inline]

Definition at line 104 of file TGLBoundingBox.h.

References Min().

Referenced by TGLUtil::DrawSimpleAxes(), and TGLAxisPainterBox::PlotStandard().

Double_t TGLBoundingBox::ZMax (  )  const [inline]

Definition at line 105 of file TGLBoundingBox.h.

References Max().

Referenced by TGLUtil::DrawSimpleAxes(), and TGLAxisPainterBox::PlotStandard().

TGLVertex3 TGLBoundingBox::MinAAVertex (  )  const

Definition at line 738 of file TGLBoundingBox.cxx.

References Min().

Referenced by ExpandAligned(), and MergeAligned().

TGLVertex3 TGLBoundingBox::MaxAAVertex (  )  const

Definition at line 746 of file TGLBoundingBox.cxx.

References Max().

Referenced by ExpandAligned(), and MergeAligned().

const TGLVertex3 * TGLBoundingBox::Vertices (  )  const [inline]

Definition at line 159 of file TGLBoundingBox.h.

References fVertex.

Int_t TGLBoundingBox::NumVertices (  )  const [inline]

Definition at line 111 of file TGLBoundingBox.h.

const std::vector< UInt_t > & TGLBoundingBox::FaceVertices ( EFace  face  )  const

Definition at line 343 of file TGLBoundingBox.cxx.

References init(), kFaceCount, kFaceHighX, kFaceHighY, kFaceHighZ, kFaceLowX, kFaceLowY, kFaceLowZ, kFALSE, and kTRUE.

TGLVertex3 TGLBoundingBox::Center (  )  const [inline]

Definition at line 174 of file TGLBoundingBox.h.

References fVertex, X, Y, and Z.

Referenced by TGLViewer::DrawDebugInfo(), TGLUtil::DrawSimpleAxes(), Dump(), TGLRotateManip::HandleButton(), TGLScaleManip::HandleMotion(), TGLTransManip::HandleMotion(), Overlap(), TGLViewer::PostSceneBuildSetup(), TGLPhysicalShape::Rotate(), TGLPhysicalShape::Scale(), TGLClipPlane::Set(), TGLClipSet::SetClipState(), TGLClipPlane::Setup(), TGLClipBox::Setup(), and TGLLightSet::StdSetupLights().

TGLVector3 TGLBoundingBox::Extents (  )  const [inline]

Definition at line 165 of file TGLBoundingBox.h.

References Axis(), kFALSE, and ROOT::Math::Mag().

Referenced by TGLViewer::DrawDebugInfo(), Dump(), Overlap(), TGLOrthoCamera::Reset(), TGLClipSet::SetClipState(), TGLClipPlane::Setup(), TGLClipBox::Setup(), TGLLightSet::StdSetupLights(), UpdateCache(), and TGLCamera::UpdateInterest().

const TGLVector3 & TGLBoundingBox::Axis ( UInt_t  i,
Bool_t  normalised = kTRUE 
) const [inline]

Definition at line 183 of file TGLBoundingBox.h.

References fAxes, and fAxesNorm.

Referenced by Extents(), TGLRotateManip::HandleButton(), TGLScaleManip::HandleMotion(), TGLTransManip::HandleMotion(), and Scale().

Bool_t TGLBoundingBox::IsEmpty (  )  const [inline]

Definition at line 207 of file TGLBoundingBox.h.

References Diagonal().

Referenced by TEveTextGL::DirectDraw(), MergeAligned(), TGLCamera::OfInterest(), TGLViewerBase::PreRender(), TGLLightSet::StdSetupLights(), and TGLCamera::UpdateInterest().

Double_t TGLBoundingBox::Volume (  )  const [inline]

Definition at line 121 of file TGLBoundingBox.h.

References fVolume.

Referenced by TGLScene::ComparePhysicalVolumes(), Dump(), and TGLCamera::UpdateInterest().

Double_t TGLBoundingBox::Diagonal (  )  const [inline]

Definition at line 122 of file TGLBoundingBox.h.

References fDiagonal.

Referenced by TGLScene::ComparePhysicalDiagonals(), IsEmpty(), and TGLCamera::OfInterest().

void TGLBoundingBox::PlaneSet ( TGLPlaneSet_t &  planeSet  )  const

Definition at line 396 of file TGLBoundingBox.cxx.

References fAxesNorm, and fVertex.

Referenced by TGLClipBox::PlaneSet().

TGLPlane TGLBoundingBox::GetNearPlane (  )  const

Definition at line 423 of file TGLBoundingBox.cxx.

References fAxesNorm, and fVertex.

Referenced by TGLClipPlane::PlaneSet(), and TGLClipPlane::Setup().

EOverlap TGLBoundingBox::Overlap ( const TGLPlane &  plane  )  const

Definition at line 431 of file TGLBoundingBox.cxx.

References Center(), TGLPlane::DistanceTo(), Extents(), fVertex, kInside, kOutside, kPartial, and TGLVector3::Mag().

Referenced by TGLCamera::OfInterest(), and TGLCamera::UpdateInterest().

EOverlap TGLBoundingBox::Overlap ( const TGLBoundingBox &  box  )  const

Definition at line 459 of file TGLBoundingBox.cxx.

References a, b, Dot(), ROOT::Math::fabs(), i, k, kInside, kOutside, kPartial, TGLVector3::Mag(), norm(), sqrt(), and t.

void TGLBoundingBox::Draw ( Bool_t  solid = kFALSE  )  const

Definition at line 630 of file TGLBoundingBox.cxx.

References fAxesNorm, fVertex, GL_LINE_LOOP, GL_LINES, GL_QUADS, glBegin(), glEnd(), glNormal3d(), glVertex3dv(), X, Y, and Z.

Referenced by TGLCamera::DrawDebugAids(), TGLViewer::DrawDebugInfo(), and TGLManipSet::Render().

void TGLBoundingBox::Dump (  )  const

Definition at line 754 of file TGLBoundingBox.cxx.

References Center(), TGLVertex3::Dump(), Extents(), fVertex, i, Volume(), X, Y, and Z.

TGLBoundingBox::ClassDef ( TGLBoundingBox  ,
0   
)

void TGLBoundingBox::UpdateCache (  )  [private]

normalised box axes in global frame - cached for speed

Bool_t TGLBoundingBox::ValidIndex ( UInt_t  index  )  const [inline, private]

Definition at line 66 of file TGLBoundingBox.h.

Double_t TGLBoundingBox::Min ( UInt_t  index  )  const [private]

Double_t TGLBoundingBox::Max ( UInt_t  index  )  const [private]

TGLBoundingBox& TGLBoundingBox::operator= ( const TGLBoundingBox &  other  ) 

void TGLBoundingBox::Set ( const TGLVertex3  vertex[8]  ) 

void TGLBoundingBox::Set ( const Double_t  vertex[8][3]  ) 

void TGLBoundingBox::Set ( const TGLBoundingBox &  other  ) 

void TGLBoundingBox::SetEmpty (  ) 

void TGLBoundingBox::SetAligned ( const TGLVertex3 &  lowVertex,
const TGLVertex3 &  highVertex 
)

void TGLBoundingBox::SetAligned ( UInt_t  nbPnts,
const Double_t *  pnts 
)

void TGLBoundingBox::MergeAligned ( const TGLBoundingBox &  other  ) 

void TGLBoundingBox::ExpandAligned ( const TGLVertex3 &  point  ) 

void TGLBoundingBox::Transform ( const TGLMatrix &  matrix  ) 

void TGLBoundingBox::Scale ( Double_t  factor  ) 

void TGLBoundingBox::Scale ( Double_t  xFactor,
Double_t  yFactor,
Double_t  zFactor 
)

void TGLBoundingBox::Translate ( const TGLVector3 &  offset  ) 

const TGLVertex3& TGLBoundingBox::operator[] ( UInt_t  index  )  const

const TGLVertex3& TGLBoundingBox::Vertex ( UInt_t  index  )  const

Double_t TGLBoundingBox::XMin (  )  const [inline]

Definition at line 100 of file TGLBoundingBox.h.

References Min().

Double_t TGLBoundingBox::XMax (  )  const [inline]

Definition at line 101 of file TGLBoundingBox.h.

References Max().

Double_t TGLBoundingBox::YMin (  )  const [inline]

Definition at line 102 of file TGLBoundingBox.h.

References Min().

Double_t TGLBoundingBox::YMax (  )  const [inline]

Definition at line 103 of file TGLBoundingBox.h.

References Max().

Double_t TGLBoundingBox::ZMin (  )  const [inline]

Definition at line 104 of file TGLBoundingBox.h.

References Min().

Double_t TGLBoundingBox::ZMax (  )  const [inline]

Definition at line 105 of file TGLBoundingBox.h.

References Max().

TGLVertex3 TGLBoundingBox::MinAAVertex (  )  const

TGLVertex3 TGLBoundingBox::MaxAAVertex (  )  const

const TGLVertex3* TGLBoundingBox::Vertices (  )  const

Int_t TGLBoundingBox::NumVertices (  )  const [inline]

Definition at line 111 of file TGLBoundingBox.h.

const std::vector<UInt_t>& TGLBoundingBox::FaceVertices ( EFace  face  )  const

TGLVertex3 TGLBoundingBox::Center (  )  const

TGLVector3 TGLBoundingBox::Extents (  )  const

const TGLVector3& TGLBoundingBox::Axis ( UInt_t  i,
Bool_t  normalised = kTRUE 
) const

Bool_t TGLBoundingBox::IsEmpty (  )  const

Double_t TGLBoundingBox::Volume (  )  const [inline]

Definition at line 121 of file TGLBoundingBox.h.

References fVolume.

Double_t TGLBoundingBox::Diagonal (  )  const [inline]

Definition at line 122 of file TGLBoundingBox.h.

References fDiagonal.

void TGLBoundingBox::PlaneSet ( TGLPlaneSet_t &  planeSet  )  const

TGLPlane TGLBoundingBox::GetNearPlane (  )  const

EOverlap TGLBoundingBox::Overlap ( const TGLPlane &  plane  )  const

EOverlap TGLBoundingBox::Overlap ( const TGLBoundingBox &  box  )  const

void TGLBoundingBox::Draw ( Bool_t  solid = kFALSE  )  const

void TGLBoundingBox::Dump (  )  const

TGLBoundingBox::ClassDef ( TGLBoundingBox  ,
0   
)

Member Data Documentation

TGLVertex3 TGLBoundingBox::fVertex [private]

Definition at line 58 of file TGLBoundingBox.h.

Referenced by Center(), Draw(), Dump(), GetNearPlane(), Max(), Min(), operator[](), Overlap(), PlaneSet(), Scale(), Set(), SetAligned(), SetEmpty(), Transform(), Translate(), UpdateCache(), Vertex(), and Vertices().

Double_t TGLBoundingBox::fVolume [private]

the 8 bounding box vertices

Definition at line 59 of file TGLBoundingBox.h.

Referenced by UpdateCache(), and Volume().

Double_t TGLBoundingBox::fDiagonal [private]

box volume - cached for speed

Definition at line 60 of file TGLBoundingBox.h.

Referenced by Diagonal(), and UpdateCache().

TGLVector3 TGLBoundingBox::fAxes [private]

max box diagonal - cached for speed

Definition at line 61 of file TGLBoundingBox.h.

Referenced by Axis(), and UpdateCache().

TGLVector3 TGLBoundingBox::fAxesNorm [private]

box axes in global frame - cached for speed

Definition at line 62 of file TGLBoundingBox.h.

Referenced by Axis(), Draw(), GetNearPlane(), PlaneSet(), and UpdateCache().

The documentation for this class was generated from the following files:
Generated on Tue Jul 5 16:39:57 2011 for ROOT_528-00b_version by  doxygen 1.5.1