This class is a base class of the binary tree. More...

#include <EXPR_Node.h>

Inheritance diagram for EXPR_Node:

[legend]

Collaboration diagram for EXPR_Node:

Public Member Functions
virtual tMemSize	getMemorySize () const override
	return the memory size of the class More...

virtual tMemSize	getContentsMemorySize () const override
	return nthe memory size of the included associations More...

virtual void	copy (const EXPR_Node &node)
	copy More...

void	setAlpha (std::initializer_list< tReal > &&alpha)
	set the matrix alpha by row More...

void	setBeta (std::initializer_list< tReal > &&beta)
	set the constant by column More...

void	addToBeta (std::initializer_list< tReal > &&beta)
	add to the constant by column More...

const std::array< tReal, 3 > &	getBeta () const
	get the beta value More...

const std::array< tReal, 9 > &	getAlpha () const
	get the alpha value More...

void	leftComposition (const std::array< tReal, 9 > &A, const std::array< tReal, 3 > &B)
	compose by the affine function \( (A.x+B) \circ (\alpha. x +\beta) \) More...

void	leftComposition (const std::array< tReal, 9 > &A)
	compose by the affine function \( (A.x) \circ (\alpha. x +\beta) \) More...

void	rotation (const tReal &theta)
	compute the rotation of the geometry with angle theta and k-axis More...

void	rotation (const tReal &theta, const tReal &Ax, const tReal &Ay, const tReal &Az)
	compute the rotation of the geometry with angle theta and axis (Ax,Ay,Az) More...

void	rotation (const tReal &theta, const tReal &Ax, const tReal &Ay, const tReal &Az, const tReal &Cx, const tReal &Cy, const tReal &Cz)
	compute the rotation of the geometry with angle theta and axis (Ax,Ay,Az)a and center (Cx,Cy,Cz) More...

void	translate (const std::array< tReal, 3 > &T)
	translate the geometry More...

virtual void	adimensionize (const tReal &L, std::map< tString, tBoolean > &alreadyComputed)
	adimensionize the node More...

virtual void	computeBoundingBox (std::map< tString, tBoolean > &alreadyComputed)=0
	compute the bounding box of the node More...

const std::array< tReal, 3 > &	getBoundingBoxMinPoint () const
	get the min point bounding box of the node for reading More...

const std::array< tReal, 3 > &	getBoundingBoxMaxPoint () const
	get the max point bounding box of the node for reading More...

std::array< tReal, 3 > &	getBoundingBoxMinPoint ()
	get the min point bounding box of the node for writing More...

std::array< tReal, 3 > &	getBoundingBoxMaxPoint ()
	get the max point bounding box of the node for writing More...

tBoolean	isInsideBoundingBox (const std::array< tReal, 3 > &P) const
	return true if the point P is in the bounding box More...

virtual tBoolean	isInside (std::array< tReal, 3 > M) const =0
	return true if the point is in the bounding box of the node More...

virtual tString	toString () const override
	return the string representation of this More...

Public Member Functions inherited from CORE_Object
template<class T >
std::shared_ptr< T >	getSharedPointer ()
	return the shared pointer for this More...

template<class T >
std::shared_ptr< const T >	getConstSharedPointer () const
	return a const shared pointer for this More...

template<class T >
tBoolean	isInstanceOf () const
	test if the clas T is an instance of this class More...

tString	getClassName () const
	return the name of the class More...

tString	getPointerString () const
	retrun the pointer of the class as a string More...

tString	getIdentityString () const
	retrun the string identification of the class More...

Static Public Member Functions
static void	SetEpsilon (const tReal &eps)
	set the tolerance error More...

static const tReal &	GetEpsilon ()
	get the tolerance error More...

Static Public Member Functions inherited from CORE_Object
static tBoolean	EnableMemoryStack (const tBoolean &isMemoryChecked)
	enable the memory stack More...

static void	EnableMemoryStack ()
	enable the memory stack

static void	DisableMemoryStack ()
	disable the memory stack

static tBoolean	IsMemoryStackEnabled ()
	return trur if the memory stack is enabled

static tString	MemoryStackToString ()
	get the memory stack in string More...

static tIndex	GetRegisteredClassesNumber ()
	get the memory stack in string More...

Protected Member Functions
	EXPR_Node ()
	create the class

virtual	~EXPR_Node ()
	delete the class

void	apply (std::array< tReal, 3 > &P) const
	apply the transformation to point P \( Q:=F(P)=mAlpha.P+mBeta \) More...

tBoolean	apply (const std::array< tReal, 3 > &P, std::array< tReal, 3 > &Q) const
	apply the transformation to point P \( Q:=F(P)=mAlpha.P+mBeta \) More...

void	applyInverse (std::array< tReal, 3 > &P) const
	apply the inverse transformation to point P \( Q:=F^{-1}(P)=\alpha^{-1}.(P-\beta) \) More...

tBoolean	applyInverse (const std::array< tReal, 3 > &P, std::array< tReal, 3 > &Q) const
	apply the inverse transformation to point P \( Q:=F^{-1}(P)=\alpha^{-1}.(P-\beta) \) More...

void	linearTransformBoundingBox (std::array< tReal, 3 > &P, std::array< tReal, 3 > &Q) const
	compute the bounding box after transformation More...

Protected Member Functions inherited from EXPR_Object
	EXPR_Object (void)
	create the class

virtual	~EXPR_Object (void)
	delete the class

Protected Member Functions inherited from CORE_Object
	CORE_Object ()
	build an instance of the object

virtual	~CORE_Object ()
	destroy the instance of object std

Detailed Description

This class is a base class of the binary tree.

Author: Stephane Despreaux

Version: 1.0

Member Function Documentation

◆ addToBeta()

void EXPR_Node::addToBeta ( std::initializer_list< tReal > && beta )

inline

add to the constant by column

Parameters

[in] beta translation value to add

◆ adimensionize()

void EXPR_Node::adimensionize	(	const tReal &	L,
		std::map< tString, tBoolean > &	alreadyComputed
	)

virtual

adimensionize the node

Parameters

[in]	L	: the reference length
[in,out]	alreadComputed	identity of the root node whose adimenionization has already been computed

Reimplemented in EXPR_VariableNode, EXPR_ParentNode, and EXPR_ElementaryGeometryNode.

◆ apply() [1/2]

tBoolean EXPR_Node::apply	(	const std::array< tReal, 3 > &	P,
		std::array< tReal, 3 > &	Q
	)		const

inlineprotected

apply the transformation to point P \( Q:=F(P)=mAlpha.P+mBeta \)

Parameters

[in]	P	: the point to transform
[out]	Q	the transformed point

Returns: false if Q=P

◆ apply() [2/2]

void EXPR_Node::apply ( std::array< tReal, 3 > & P ) const

inlineprotected

apply the transformation to point P \( Q:=F(P)=mAlpha.P+mBeta \)

Parameters

[in,out] P : in input the point to transform, in output the tranformed point

◆ applyInverse() [1/2]

tBoolean EXPR_Node::applyInverse	(	const std::array< tReal, 3 > &	P,
		std::array< tReal, 3 > &	Q
	)		const

inlineprotected

apply the inverse transformation to point P \( Q:=F^{-1}(P)=\alpha^{-1}.(P-\beta) \)

Parameters

[in]	P	: the point to transform
[out]	Q	the transformed point

Returns: false if P!=Q

◆ applyInverse() [2/2]

void EXPR_Node::applyInverse ( std::array< tReal, 3 > & P ) const

inlineprotected

apply the inverse transformation to point P \( Q:=F^{-1}(P)=\alpha^{-1}.(P-\beta) \)

Parameters

[in,out] P : in input the point to transform, in output, the transform point

◆ computeBoundingBox()

virtual void EXPR_Node::computeBoundingBox ( std::map< tString, tBoolean > & alreadyComputed )

pure virtual

compute the bounding box of the node

Parameters

[in,out] alreadComputed identity of the root node whose bounding box has already been computed

Implemented in EXPR_VariableNode, EXPR_UnionOperator, EXPR_ParentNode, EXPR_NotOperator, EXPR_IntersectionOperator, EXPR_ElementaryGeometryNode, and EXPR_DifferenceOperator.

◆ copy()

virtual void EXPR_Node::copy ( const EXPR_Node & node )

inlinevirtual

copy

Parameters

node	the node to copy

Reimplemented in EXPR_Paver, EXPR_Ellipsoid, EXPR_ElementaryGeometryNode, and EXPR_Cylinder.

◆ getAlpha()

const std::array<tReal,9>& EXPR_Node::getAlpha ( ) const

inline

get the alpha value

Returns: the alpha vector of size 9

◆ getBeta()

const std::array<tReal,3>& EXPR_Node::getBeta ( ) const

inline

get the beta value

Returns: the beta vector of size 3

◆ getBoundingBoxMaxPoint() [1/2]

std::array<tReal,3>& EXPR_Node::getBoundingBoxMaxPoint ( )

inline

get the max point bounding box of the node for writing

Returns: the max point of the bounding box of the node

◆ getBoundingBoxMaxPoint() [2/2]

const std::array<tReal,3>& EXPR_Node::getBoundingBoxMaxPoint ( ) const

inline

get the max point bounding box of the node for reading

Returns: the max point of the bounding box of the node

◆ getBoundingBoxMinPoint() [1/2]

std::array<tReal,3>& EXPR_Node::getBoundingBoxMinPoint ( )

inline

get the min point bounding box of the node for writing

Returns: the min point of the bounding box of the node

◆ getBoundingBoxMinPoint() [2/2]

const std::array<tReal,3>& EXPR_Node::getBoundingBoxMinPoint ( ) const

inline

get the min point bounding box of the node for reading

Returns: the min point of the bounding box of the node

◆ getContentsMemorySize()

virtual tMemSize EXPR_Node::getContentsMemorySize ( ) const

inlineoverridevirtual

return nthe memory size of the included associations

Returns: the memory size of the storage in bytes 1 Kb = 1024 bytes 1 Mb = 1024 Kb 1 Gb = 1024 Mb 1 Tb = 1024 Gb 1 Hb = 1024 Tb

Reimplemented from EXPR_Object.

Reimplemented in EXPR_VariableNode, EXPR_UnionOperator, EXPR_RootNode, EXPR_Paver, EXPR_ParentNode, EXPR_OperatorNode, EXPR_NotOperator, EXPR_LeafNode, EXPR_IntersectionOperator, EXPR_InheritedNode, EXPR_GroupNode, EXPR_EmptyNode, EXPR_Ellipsoid, EXPR_ElementaryGeometryNode, EXPR_DifferenceOperator, EXPR_Cylinder, and EXPR_ChildNode.

◆ GetEpsilon()

static const tReal& EXPR_Node::GetEpsilon ( )

inlinestatic

get the tolerance error

Returns: the tolerance error

◆ getMemorySize()

virtual tMemSize EXPR_Node::getMemorySize ( ) const

inlineoverridevirtual

return the memory size of the class

Returns: the memory size of the class in bytes 1 octet = 1 byte 1 Ko = 1024 bytes 1 Mo = 1024 Ko 1 Go = 1024 Mo

Reimplemented from EXPR_Object.

Reimplemented in EXPR_VariableNode, EXPR_UnionOperator, EXPR_RootNode, EXPR_Paver, EXPR_ParentNode, EXPR_OperatorNode, EXPR_NotOperator, EXPR_LeafNode, EXPR_IntersectionOperator, EXPR_InheritedNode, EXPR_GroupNode, EXPR_EmptyNode, EXPR_Ellipsoid, EXPR_ElementaryGeometryNode, EXPR_DifferenceOperator, EXPR_Cylinder, and EXPR_ChildNode.

◆ isInside()

virtual tBoolean EXPR_Node::isInside ( std::array< tReal, 3 > M ) const

pure virtual

return true if the point is in the bounding box of the node

Parameters

[in] M coordinates of the point to test if inside

Returns: true if the point is inside the node

Implemented in EXPR_VariableNode, EXPR_UnionOperator, EXPR_NotOperator, EXPR_IntersectionOperator, EXPR_ElementaryGeometryNode, EXPR_DifferenceOperator, and EXPR_ParentNode.

◆ isInsideBoundingBox()

tBoolean EXPR_Node::isInsideBoundingBox ( const std::array< tReal, 3 > & P ) const

inline

return true if the point P is in the bounding box

Parameters

[in] P : the point to test

Returns: true if the the point is in the bounding box

◆ leftComposition() [1/2]

void EXPR_Node::leftComposition ( const std::array< tReal, 9 > & A )

inline

compose by the affine function \( (A.x) \circ (\alpha. x +\beta) \)

Parameters

A[in] : matrix of size 3x3 order by rows

◆ leftComposition() [2/2]

void EXPR_Node::leftComposition	(	const std::array< tReal, 9 > &	A,
		const std::array< tReal, 3 > &	B
	)

inline

compose by the affine function \( (A.x+B) \circ (\alpha. x +\beta) \)

Parameters

[in]	A	: matrix of size 3x3 ordered by rows
[in]	B	: vector of size 3
[in]	W	: work vector of size 3

◆ linearTransformBoundingBox()

void EXPR_Node::linearTransformBoundingBox	(	std::array< tReal, 3 > &	P,
		std::array< tReal, 3 > &	Q
	)		const

protected

compute the bounding box after transformation

Parameters

[in]	P	min point of the initial bounding box
[in]	Q	max point of the initial bounding box

◆ rotation() [1/3]

void EXPR_Node::rotation ( const tReal & theta )

inline

compute the rotation of the geometry with angle theta and k-axis

Parameters

[in] theta rotation angle

◆ rotation() [2/3]

void EXPR_Node::rotation	(	const tReal &	theta,
		const tReal &	Ax,
		const tReal &	Ay,
		const tReal &	Az
	)

inline

compute the rotation of the geometry with angle theta and axis (Ax,Ay,Az)

Parameters

	theta	rotation angle
[in]	Ax	: x-coordinate of the axe
[in]	Ay	: y-coordinate of the axe
[in]	Az	: z-coordinate of the axe

◆ rotation() [3/3]

void EXPR_Node::rotation	(	const tReal &	theta,
		const tReal &	Ax,
		const tReal &	Ay,
		const tReal &	Az,
		const tReal &	Cx,
		const tReal &	Cy,
		const tReal &	Cz
	)

inline

compute the rotation of the geometry with angle theta and axis (Ax,Ay,Az)a and center (Cx,Cy,Cz)

Parameters

[in]	theta	rotation angle
[in]	Ax	: x-coordinate of the axe
[in]	Ay	: y-coordinate of the axe
[in]	Az	: z-coordinate of the axe
[in]	Cx	: x-coordinate of the center
[in]	Cy	: y-coordinate of the center
[in]	Cz	: z-coordinate of the center

◆ setAlpha()

void EXPR_Node::setAlpha ( std::initializer_list< tReal > && alpha )

inline

set the matrix alpha by row

Parameters

[	alpha: the matrix of size 9

◆ setBeta()

void EXPR_Node::setBeta ( std::initializer_list< tReal > && beta )

inline

set the constant by column

Parameters

[in] beta translation value

◆ SetEpsilon()

static void EXPR_Node::SetEpsilon ( const tReal & eps )

inlinestatic

set the tolerance error

Parameters

[in] eps tolerance error

◆ toString()

tString EXPR_Node::toString ( ) const

overridevirtual

return the string representation of this

Returns: the string representation of this

Reimplemented from CORE_Object.

Reimplemented in EXPR_VariableNode, EXPR_UnionOperator, EXPR_ParentNode, EXPR_NotOperator, EXPR_IntersectionOperator, EXPR_InheritedNode, EXPR_GroupNode, EXPR_EmptyNode, EXPR_ElementaryGeometryNode, EXPR_DifferenceOperator, EXPR_Ellipsoid, and EXPR_Cylinder.

◆ translate()

void EXPR_Node::translate ( const std::array< tReal, 3 > & T )

inline

translate the geometry

Parameters

[in]	Tx	: x-coordinate of the translation
[in]	Ty	: y-coordinate of the translation
[in]	Tz	: z-coordinate of the translation

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

/home/despreau/Developpement/CPP/devcpp20/include/math/geometry/expr/EXPR_Node.h
/home/despreau/Developpement/CPP/devcpp20/src/math/geometry/expr/EXPR_Node.cpp

Public Member Functions

Static Public Member Functions

Protected Member Functions

Detailed Description

Member Function Documentation

◆ addToBeta()

◆ adimensionize()

◆ apply() [1/2]

◆ apply() [2/2]

◆ applyInverse() [1/2]

◆ applyInverse() [2/2]

◆ computeBoundingBox()

◆ copy()

◆ getAlpha()

◆ getBeta()

◆ getBoundingBoxMaxPoint() [1/2]

◆ getBoundingBoxMaxPoint() [2/2]

◆ getBoundingBoxMinPoint() [1/2]

◆ getBoundingBoxMinPoint() [2/2]

◆ getContentsMemorySize()

◆ GetEpsilon()

◆ getMemorySize()

◆ isInside()

◆ isInsideBoundingBox()

◆ leftComposition() [1/2]

◆ leftComposition() [2/2]

◆ linearTransformBoundingBox()

◆ rotation() [1/3]

◆ rotation() [2/3]

◆ rotation() [3/3]

◆ setAlpha()

◆ setBeta()

◆ SetEpsilon()

◆ toString()

◆ translate()