16 component (4x4) transform matrix - column MAJOR as per GL.

Provides limited support for adjusting the translation, scale and rotation components.

This is part of collection of simple utility classes for GL only in TGLUtil.h/cxx. These provide const and non-const accessors Arr() & CArr() to a GL compatible internal field - so can be used directly with OpenGL C API calls - which TVector3 etc cannot (easily). They are not intended to be fully featured just provide minimum required.

Definition at line 596 of file TGLUtil.h.

Public Member Functions
	TGLMatrix ()
	Construct default identity matrix: More...

	TGLMatrix (const Double_t vals[16])
	Construct matrix using the 16 Double_t 'vals' passed, ordering is maintained - i.e. More...

	TGLMatrix (const TGLMatrix &other)
	Construct matrix from 'other'. More...

	TGLMatrix (const TGLVertex3 &origin, const TGLVector3 &zAxis)
	Construct matrix which when applied puts local origin at 'origin' and the local Z axis in direction 'z'. More...

	TGLMatrix (const TGLVertex3 &origin, const TGLVector3 &zAxis, const TGLVector3 &xAxis)
	Construct matrix which when applied puts local origin at 'origin' and the local Z axis in direction 'z'. More...

	TGLMatrix (const TGLVertex3 &translation)
	Construct matrix with translation components x,y,z: More...

	TGLMatrix (Double_t x, Double_t y, Double_t z)
	Construct matrix with translation components x,y,z: More...

virtual	~TGLMatrix ()
	Destroy matrix object. More...

Double_t *	Arr ()

const Double_t *	CArr () const

void	Dump () const
	Output 16 matrix components to std::cout. More...

TGLVector3	GetBaseVec (Int_t b) const

void	GetBaseVec (Int_t b, Double_t *x) const

void	GetBaseVec (Int_t b, TGLVector3 &v) const

TGLVector3	GetScale () const
	Get local axis scaling factors. More...

TGLVector3	GetTranslation () const
	Return the translation component of matrix. More...

Double_t	Invert ()
	Invert the matrix, returns determinant. More...

Bool_t	IsScalingForRender () const
	Return true if matrix is to be considered a scaling matrix for rendering. More...

void	Move3LF (Double_t x, Double_t y, Double_t z)
	Translate in local frame along all base vectors simultaneously. More...

void	MoveLF (Int_t ai, Double_t amount)
	Translate in local frame. More...

TGLVector3	Multiply (const TGLVector3 &v, Double_t w=1) const
	Multiply vector. More...

void	MultiplyIP (TGLVector3 &v, Double_t w=1) const
	Multiply vector in-place. More...

void	MultLeft (const TGLMatrix &lhs)
	Multiply with matrix lhs on left. More...

void	MultRight (const TGLMatrix &rhs)
	Multiply with matrix rhs on right. More...

TGLMatrix &	operator*= (const TGLMatrix &rhs)

TGLMatrix &	operator= (const TGLMatrix &rhs)

Double_t &	operator[] (Int_t index)

Double_t	operator[] (Int_t index) const

TGLVector3	Rotate (const TGLVector3 &v) const
	Rotate vector. Translation is not applied. More...

void	Rotate (const TGLVertex3 &pivot, const TGLVector3 &axis, Double_t angle)
	Update matrix so resulting transform has been rotated about 'pivot' (in parent frame), round vector 'axis', through 'angle' (radians) Equivalent to glRotate function, but with addition of translation and compounded on top of existing. More...

void	RotateIP (TGLVector3 &v) const
	Rotate vector in-place. Translation is not applied. More...

void	RotateLF (Int_t i1, Int_t i2, Double_t amount)
	Rotate in local frame. More...

void	RotatePF (Int_t i1, Int_t i2, Double_t amount)
	Rotate in parent frame. Does optimised version of MultLeft. More...

void	Scale (const TGLVector3 &scale)
	Set matrix axis scales to 'scale'. More...

void	Set (const Double_t vals[16])
	Set matrix using the 16 Double_t 'vals' passed, ordering is maintained - i.e. More...

void	Set (const TGLVertex3 &origin, const TGLVector3 &zAxis, const TGLVector3 &xAxis=0)
	Set matrix which when applied puts local origin at 'origin' and the local Z axis in direction 'z'. More...

void	SetBaseVec (Int_t b, const TGLVector3 &v)

void	SetBaseVec (Int_t b, Double_t *x)

void	SetBaseVec (Int_t b, Double_t x, Double_t y, Double_t z)

void	SetIdentity ()
	Set matrix to identity. More...

void	SetTranslation (const TGLVertex3 &translation)
	Set matrix translation components x,y,z. More...

void	SetTranslation (Double_t x, Double_t y, Double_t z)
	Set matrix translation components x,y,z. More...

void	TransformVertex (TGLVertex3 &vertex) const
	Transform passed 'vertex' by this matrix - converts local frame to parent. More...

void	Translate (const TGLVector3 &vect)
	Shift matrix translation components by 'vect' in parent frame. More...

void	Transpose3x3 ()
	Transpose the top left 3x3 matrix component along major diagonal Supported as currently incompatibility between TGeo and GL matrix layouts for this 3x3 only. More...

Private Member Functions
Bool_t	ValidIndex (UInt_t index) const

Private Attributes
Double_t	fVals [16]

#include <TGLUtil.h>

Constructor & Destructor Documentation

◆ TGLMatrix() [1/7]

TGLMatrix::TGLMatrix ( )

Construct default identity matrix:

1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1

Definition at line 607 of file TGLUtil.cxx.

◆ TGLMatrix() [2/7]

TGLMatrix::TGLMatrix	(	Double_t	x,
		Double_t	y,
		Double_t	z
	)

Construct matrix with translation components x,y,z:

1 0 0 x 0 1 0 y 0 0 1 z 0 0 0 1

Definition at line 620 of file TGLUtil.cxx.

◆ TGLMatrix() [3/7]

TGLMatrix::TGLMatrix ( const TGLVertex3 & translation )

Construct matrix with translation components x,y,z:

1 0 0 translation.X() 0 1 0 translation.Y() 0 0 1 translation.Z() 0 0 0 1

Definition at line 634 of file TGLUtil.cxx.

◆ TGLMatrix() [4/7]

TGLMatrix::TGLMatrix	(	const TGLVertex3 &	origin,
		const TGLVector3 &	zAxis,
		const TGLVector3 &	xAxis
	)

Construct matrix which when applied puts local origin at 'origin' and the local Z axis in direction 'z'.

Both 'origin' and 'zAxisVec' are expressed in the parent frame

Definition at line 669 of file TGLUtil.cxx.

◆ TGLMatrix() [5/7]

TGLMatrix::TGLMatrix	(	const TGLVertex3 &	origin,
		const TGLVector3 &	zAxis
	)

Construct matrix which when applied puts local origin at 'origin' and the local Z axis in direction 'z'.

Both 'origin' and 'zAxisVec' are expressed in the parent frame

Definition at line 645 of file TGLUtil.cxx.

◆ TGLMatrix() [6/7]

TGLMatrix::TGLMatrix ( const Double_t vals[16] )

Construct matrix using the 16 Double_t 'vals' passed, ordering is maintained - i.e.

should be column major as we are

Definition at line 680 of file TGLUtil.cxx.

◆ TGLMatrix() [7/7]

TGLMatrix::TGLMatrix ( const TGLMatrix & other )

Construct matrix from 'other'.

Definition at line 688 of file TGLUtil.cxx.

◆ ~TGLMatrix()

TGLMatrix::~TGLMatrix ( )

virtual

Destroy matrix object.

Definition at line 696 of file TGLUtil.cxx.

Member Function Documentation

◆ Arr()

Double_t * TGLMatrix::Arr ( )

inline

Definition at line 664 of file TGLUtil.h.

◆ CArr()

const Double_t * TGLMatrix::CArr ( ) const

inline

Definition at line 663 of file TGLUtil.h.

◆ Dump()

void TGLMatrix::Dump ( ) const

Output 16 matrix components to std::cout.

0 4 8 12 1 5 9 13 2 6 10 14 3 7 11 15

Definition at line 1133 of file TGLUtil.cxx.

◆ GetBaseVec() [1/3]

TGLVector3 TGLMatrix::GetBaseVec ( Int_t b ) const

inline

Definition at line 753 of file TGLUtil.h.

◆ GetBaseVec() [2/3]

void TGLMatrix::GetBaseVec	(	Int_t	b,
		Double_t *	x
	)		const

inline

Definition at line 766 of file TGLUtil.h.

◆ GetBaseVec() [3/3]

void TGLMatrix::GetBaseVec	(	Int_t	b,
		TGLVector3 &	v
	)		const

inline

Definition at line 759 of file TGLUtil.h.

◆ GetScale()

TGLVector3 TGLMatrix::GetScale ( ) const

Get local axis scaling factors.

Definition at line 1100 of file TGLUtil.cxx.

◆ GetTranslation()

TGLVector3 TGLMatrix::GetTranslation ( ) const

Return the translation component of matrix.

Definition at line 795 of file TGLUtil.cxx.

◆ Invert()

Double_t TGLMatrix::Invert ( )

Invert the matrix, returns determinant.

Copied from TMatrixFCramerInv.

Definition at line 972 of file TGLUtil.cxx.

◆ IsScalingForRender()

Bool_t TGLMatrix::IsScalingForRender ( ) const

Return true if matrix is to be considered a scaling matrix for rendering.

Definition at line 1112 of file TGLUtil.cxx.

◆ Move3LF()

void TGLMatrix::Move3LF	(	Double_t	x,
		Double_t	y,
		Double_t	z
	)

Translate in local frame along all base vectors simultaneously.

Definition at line 823 of file TGLUtil.cxx.

◆ MoveLF()

void TGLMatrix::MoveLF	(	Int_t	ai,
		Double_t	amount
	)

Translate in local frame.

i1, i2 are axes indices: 1 ~ x, 2 ~ y, 3 ~ z.

Definition at line 814 of file TGLUtil.cxx.

◆ Multiply()

TGLVector3 TGLMatrix::Multiply	(	const TGLVector3 &	v,
		Double_t	w = `1`
	)		const

Multiply vector.

Definition at line 1050 of file TGLUtil.cxx.

◆ MultiplyIP()

void TGLMatrix::MultiplyIP	(	TGLVector3 &	v,
		Double_t	w = `1`
	)		const

Multiply vector in-place.

Definition at line 1076 of file TGLUtil.cxx.

◆ MultLeft()

void TGLMatrix::MultLeft ( const TGLMatrix & lhs )

Multiply with matrix lhs on left.

Definition at line 719 of file TGLUtil.cxx.

◆ MultRight()

void TGLMatrix::MultRight ( const TGLMatrix & rhs )

Multiply with matrix rhs on right.

Definition at line 703 of file TGLUtil.cxx.

◆ operator*=()

TGLMatrix & TGLMatrix::operator*= ( const TGLMatrix & rhs )

inline

Definition at line 622 of file TGLUtil.h.

◆ operator=()

TGLMatrix & TGLMatrix::operator= ( const TGLMatrix & rhs )

inline

Definition at line 672 of file TGLUtil.h.

◆ operator[]() [1/2]

Double_t & TGLMatrix::operator[] ( Int_t index )

inline

Definition at line 682 of file TGLUtil.h.

◆ operator[]() [2/2]

Double_t TGLMatrix::operator[] ( Int_t index ) const

inline

Definition at line 693 of file TGLUtil.h.

◆ Rotate() [1/2]

TGLVector3 TGLMatrix::Rotate ( const TGLVector3 & v ) const

Rotate vector. Translation is not applied.

Definition at line 1063 of file TGLUtil.cxx.

◆ Rotate() [2/2]

void TGLMatrix::Rotate	(	const TGLVertex3 &	pivot,
		const TGLVector3 &	axis,
		Double_t	angle
	)

Update matrix so resulting transform has been rotated about 'pivot' (in parent frame), round vector 'axis', through 'angle' (radians) Equivalent to glRotate function, but with addition of translation and compounded on top of existing.

Definition at line 871 of file TGLUtil.cxx.

◆ RotateIP()

void TGLMatrix::RotateIP ( TGLVector3 & v ) const

Rotate vector in-place. Translation is not applied.

Definition at line 1088 of file TGLUtil.cxx.

◆ RotateLF()

void TGLMatrix::RotateLF	(	Int_t	i1,
		Int_t	i2,
		Double_t	amount
	)

Rotate in local frame.

Does optimised version of MultRight. i1, i2 are axes indices: 1 ~ x, 2 ~ y, 3 ~ z.

Definition at line 898 of file TGLUtil.cxx.

◆ RotatePF()

void TGLMatrix::RotatePF	(	Int_t	i1,
		Int_t	i2,
		Double_t	amount
	)

Rotate in parent frame. Does optimised version of MultLeft.

Definition at line 915 of file TGLUtil.cxx.

◆ Scale()

void TGLMatrix::Scale ( const TGLVector3 & scale )

Set matrix axis scales to 'scale'.

Note - this really sets the overall (total) scaling for each axis - it does NOT apply compounded scale on top of existing one

Definition at line 835 of file TGLUtil.cxx.

◆ Set() [1/2]

void TGLMatrix::Set ( const Double_t vals[16] )

Set matrix using the 16 Double_t 'vals' passed, ordering is maintained - i.e.

should be column major.

Definition at line 756 of file TGLUtil.cxx.

◆ Set() [2/2]

void TGLMatrix::Set	(	const TGLVertex3 &	origin,
		const TGLVector3 &	zAxis,
		const TGLVector3 &	xAxis = `0`
	)

Set matrix which when applied puts local origin at 'origin' and the local Z axis in direction 'z'.

Both 'origin' and 'z' are expressed in the parent frame

Definition at line 737 of file TGLUtil.cxx.

◆ SetBaseVec() [1/3]

void TGLMatrix::SetBaseVec	(	Int_t	b,
		const TGLVector3 &	v
	)

inline

Definition at line 739 of file TGLUtil.h.

◆ SetBaseVec() [2/3]

void TGLMatrix::SetBaseVec	(	Int_t	b,
		Double_t *	x
	)

inline

Definition at line 746 of file TGLUtil.h.

◆ SetBaseVec() [3/3]

void TGLMatrix::SetBaseVec	(	Int_t	b,
		Double_t	x,
		Double_t	y,
		Double_t	z
	)

inline

Definition at line 732 of file TGLUtil.h.

◆ SetIdentity()

void TGLMatrix::SetIdentity ( )

Set matrix to identity.

Definition at line 766 of file TGLUtil.cxx.

◆ SetTranslation() [1/2]

void TGLMatrix::SetTranslation ( const TGLVertex3 & translation )

Set matrix translation components x,y,z.

Definition at line 785 of file TGLUtil.cxx.

◆ SetTranslation() [2/2]

void TGLMatrix::SetTranslation	(	Double_t	x,
		Double_t	y,
		Double_t	z
	)

Set matrix translation components x,y,z.

Definition at line 777 of file TGLUtil.cxx.

◆ TransformVertex()

void TGLMatrix::TransformVertex ( TGLVertex3 & vertex ) const

Transform passed 'vertex' by this matrix - converts local frame to parent.

Definition at line 934 of file TGLUtil.cxx.

◆ Translate()

void TGLMatrix::Translate ( const TGLVector3 & vect )

Shift matrix translation components by 'vect' in parent frame.

Definition at line 803 of file TGLUtil.cxx.

◆ Transpose3x3()

void TGLMatrix::Transpose3x3 ( )

Transpose the top left 3x3 matrix component along major diagonal Supported as currently incompatibility between TGeo and GL matrix layouts for this 3x3 only.

To be resolved.

Definition at line 948 of file TGLUtil.cxx.

◆ ValidIndex()

Bool_t TGLMatrix::ValidIndex ( UInt_t index ) const

inlineprivate

Definition at line 603 of file TGLUtil.h.

Member Data Documentation

◆ fVals

Double_t TGLMatrix::fVals[16]

private

Definition at line 600 of file TGLUtil.h.

Libraries for TGLMatrix:

[legend]

Public Member Functions

Private Member Functions

Private Attributes

Constructor & Destructor Documentation

◆ TGLMatrix() [1/7]

◆ TGLMatrix() [2/7]

◆ TGLMatrix() [3/7]

◆ TGLMatrix() [4/7]

◆ TGLMatrix() [5/7]

◆ TGLMatrix() [6/7]

◆ TGLMatrix() [7/7]

◆ ~TGLMatrix()

Member Function Documentation

◆ Arr()

◆ CArr()

◆ Dump()

◆ GetBaseVec() [1/3]

◆ GetBaseVec() [2/3]

◆ GetBaseVec() [3/3]

◆ GetScale()

◆ GetTranslation()

◆ Invert()

◆ IsScalingForRender()

◆ Move3LF()

◆ MoveLF()

◆ Multiply()

◆ MultiplyIP()

◆ MultLeft()

◆ MultRight()

◆ operator*=()

◆ operator=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ Rotate() [1/2]

◆ Rotate() [2/2]

◆ RotateIP()

◆ RotateLF()

◆ RotatePF()

◆ Scale()

◆ Set() [1/2]

◆ Set() [2/2]

◆ SetBaseVec() [1/3]

◆ SetBaseVec() [2/3]

◆ SetBaseVec() [3/3]

◆ SetIdentity()

◆ SetTranslation() [1/2]

◆ SetTranslation() [2/2]

◆ TransformVertex()

◆ Translate()

◆ Transpose3x3()

◆ ValidIndex()

Member Data Documentation

◆ fVals