#include <InterpKernelGeo2DEdgeArcCircle.hxx>

Inheritance diagram for INTERP_KERNEL.EdgeArcCircle:

Public Member Functions
	EdgeArcCircle (std::istream &lineInXfig)
	EdgeArcCircle (Node start, Node middle, Node *end, bool direction=true)
	EdgeArcCircle (double sX, double sY, double mX, double mY, double eX, double eY)
	EdgeArcCircle (Node start, Node end, const double *center, double radius, double angle0, double deltaAngle, bool direction=true)
void	changeMiddle (Node *newMiddle)
	for tests
void	dumpInXfigFile (std::ostream &stream, bool direction, int resolution, const Bounds &box) const
void	update (Node *m)
double	getAreaOfZone () const
double	getCurveLength () const
void	getBarycenter (double *bary) const
void	getBarycenterOfZone (double *bary) const
bool	isIn (double characterVal) const
Node *	buildRepresentantOfMySelf () const
bool	isLower (double val1, double val2) const
double	getCharactValue (const Node &node) const
double	getDistanceToPoint (const double *pt) const
bool	isNodeLyingOn (const double *coordOfNode) const
TypeOfFunction	getTypeOfFunc () const
void	dynCastFunction (const EdgeLin &seg, const EdgeArcCircle &arcSeg) const
const double *	getCenter () const
void	getCenter (double *center) const
bool	doIHaveSameDirectionAs (const Edge &other) const
void	applySimilarity (double xBary, double yBary, double dimChar)
double	getAngle0 () const
double	getRadius () const
double	getAngle () const
Static Public Member Functions
static double	getAbsoluteAngle (const double *vect, double &normVect)
static double	getAbsoluteAngleOfNormalizedVect (double ux, double uy)
static void	getArcOfCirclePassingThru (const double start, const double middle, const double end, double center, double &radius, double &angleInRad, double &angleInRad0)
static double	safeSqrt (double val)
	To avoid in aggressive optimizations nan.
static double	safeAcos (double cosAngle)
static double	safeAsin (double sinAngle)
static bool	isIn2Pi (double start, double delta, double angleIn)
static bool	isAngleNotIn (double start, double delta, double angleIn)
	'delta' 'start' in ]-Pi;Pi[
static double	normalizeAngle (double angle)
	for an angle 'angle' in ]-3Pi;3Pi[ returns angle in ]-Pi;Pi[
Protected Member Functions
void	updateBounds ()
Edge *	buildEdgeLyingOnMe (Node start, Node end, bool direction=true) const
Protected Attributes
double	_angle
	Value between -2Pi and 2Pi.
double	_angle0
	Value between -Pi and Pi.
double	_radius
double	_center [2]

Constructor & Destructor Documentation

EdgeArcCircle::EdgeArcCircle ( std::istream & lineInXfig )

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.EdgeArcCircle._center, INTERP_KERNEL.Edge._end, INTERP_KERNEL.EdgeArcCircle._radius, INTERP_KERNEL.Edge._start, INTERP_KERNEL.Node.decrRef(), INTERP_KERNEL.EdgeArcCircle.getArcOfCirclePassingThru(), and INTERP_KERNEL.EdgeArcCircle.updateBounds().

EdgeArcCircle::EdgeArcCircle	(	Node *	start,
		Node *	middle,
		Node *	end,
		bool	direction = `true`
	)

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.EdgeArcCircle._center, INTERP_KERNEL.Edge._end, INTERP_KERNEL.EdgeArcCircle._radius, INTERP_KERNEL.Edge._start, INTERP_KERNEL.EdgeArcCircle.getArcOfCirclePassingThru(), and INTERP_KERNEL.EdgeArcCircle.updateBounds().

EdgeArcCircle::EdgeArcCircle	(	double	sX,
		double	sY,
		double	mX,
		double	mY,
		double	eX,
		double	eY
	)

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.EdgeArcCircle._center, INTERP_KERNEL.Edge._end, INTERP_KERNEL.EdgeArcCircle._radius, INTERP_KERNEL.Edge._start, INTERP_KERNEL.EdgeArcCircle.getArcOfCirclePassingThru(), and INTERP_KERNEL.EdgeArcCircle.updateBounds().

EdgeArcCircle::EdgeArcCircle	(	Node *	start,
		Node *	end,
		const double *	center,
		double	radius,
		double	angle0,
		double	deltaAngle,
		bool	direction = `true`
	)

Parameters:

angle0	in ]-Pi;Pi[
deltaAngle	in ]-2.Pi;2.Pi[

References INTERP_KERNEL.EdgeArcCircle._center, and INTERP_KERNEL.EdgeArcCircle.updateBounds().

Member Function Documentation

void EdgeArcCircle::changeMiddle ( Node * newMiddle )

for tests

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.EdgeArcCircle._center, INTERP_KERNEL.Edge._end, INTERP_KERNEL.EdgeArcCircle._radius, INTERP_KERNEL.Edge._start, INTERP_KERNEL.EdgeArcCircle.getArcOfCirclePassingThru(), and INTERP_KERNEL.EdgeArcCircle.updateBounds().

void EdgeArcCircle::dumpInXfigFile	(	std::ostream &	stream,
		bool	direction,
		int	resolution,
		const Bounds &	box
	)		const `[virtual]`

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._center, INTERP_KERNEL.Edge._end, INTERP_KERNEL.Edge._start, INTERP_KERNEL.EdgeArcCircle.buildRepresentantOfMySelf(), INTERP_KERNEL.Node.decrRef(), INTERP_KERNEL.Node.dumpInXfigFile(), INTERP_KERNEL.Edge.fillXfigStreamForLoc(), INTERP_KERNEL.Bounds.fitXForXFigD(), and INTERP_KERNEL.Bounds.fitYForXFigD().

void EdgeArcCircle::update ( Node * m ) [virtual]

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.EdgeArcCircle._center, INTERP_KERNEL.Edge._end, INTERP_KERNEL.EdgeArcCircle._radius, INTERP_KERNEL.Edge._start, INTERP_KERNEL.EdgeArcCircle.getArcOfCirclePassingThru(), and INTERP_KERNEL.EdgeArcCircle.updateBounds().

double EdgeArcCircle::getAreaOfZone ( ) const [virtual]

This methods computes :

$\int_{Current Edge} -ydx$

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._radius, and INTERP_KERNEL.Edge._start.

double EdgeArcCircle::getCurveLength ( ) const [virtual]

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, and INTERP_KERNEL.EdgeArcCircle._radius.

void EdgeArcCircle::getBarycenter ( double * bary ) const [virtual]

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.EdgeArcCircle._center, and INTERP_KERNEL.EdgeArcCircle._radius.

void EdgeArcCircle::getBarycenterOfZone ( double * bary ) const [virtual]

$bary[0]=\int_{Current Edge} -yxdx$

$bary[1]=\int_{Current Edge} -\frac{y^{2}}{2}dx$

To compute these 2 expressions in this class we have :

$x=x_{0}+Radius \cdot cos(\theta)$

$y=y_{0}+Radius \cdot sin(\theta)$

$dx=-Radius \cdot sin(\theta) \cdot d\theta$

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.EdgeArcCircle._center, and INTERP_KERNEL.EdgeArcCircle._radius.

bool EdgeArcCircle::isIn ( double characterVal ) const [virtual]

Characteristic value used is angle in ]_Pi;Pi[ from axe 0x.

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, and INTERP_KERNEL.EdgeArcCircle.isIn2Pi().

Node * EdgeArcCircle::buildRepresentantOfMySelf ( ) const [virtual]

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.EdgeArcCircle._center, and INTERP_KERNEL.EdgeArcCircle._radius.

bool EdgeArcCircle::isLower	(	double	val1,
		double	val2
	)		const `[virtual]`

Characteristic value used is angle in ]_Pi;Pi[ from axe 0x. 'val1' and 'val2' have been detected previously as owning to this.

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.QUADRATIC_PLANAR._precision, and INTERP_KERNEL.EdgeArcCircle._radius.

double EdgeArcCircle::getCharactValue ( const Node & node ) const [virtual]

For Arc circle the caract value is angle with Ox between -Pi and Pi.

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._center, INTERP_KERNEL.EdgeArcCircle._radius, and INTERP_KERNEL.EdgeArcCircle.getAbsoluteAngleOfNormalizedVect().

double EdgeArcCircle::getDistanceToPoint ( const double * pt ) const [virtual]

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.EdgeArcCircle._center, INTERP_KERNEL.Edge._end, INTERP_KERNEL.EdgeArcCircle._radius, INTERP_KERNEL.Edge._start, INTERP_KERNEL.angle(), INTERP_KERNEL.Node.computeAngle(), INTERP_KERNEL.Node.distanceBtw2Pt(), and INTERP_KERNEL.EdgeArcCircle.isIn2Pi().

bool EdgeArcCircle::isNodeLyingOn ( const double * coordOfNode ) const [virtual]

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.EdgeArcCircle._center, INTERP_KERNEL.EdgeArcCircle._radius, INTERP_KERNEL.angle(), INTERP_KERNEL.Node.areDoubleEquals(), INTERP_KERNEL.Node.computeAngle(), INTERP_KERNEL.Node.distanceBtw2Pt(), and INTERP_KERNEL.EdgeArcCircle.isIn2Pi().

TypeOfFunction INTERP_KERNEL.EdgeArcCircle.getTypeOfFunc ( ) const [virtual]

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.ARC_CIRCLE.

void INTERP_KERNEL.EdgeArcCircle.dynCastFunction	(	const EdgeLin *&	seg,
		const EdgeArcCircle *&	arcSeg
	)		const `[virtual]`

Implements INTERP_KERNEL.Edge.

const double* INTERP_KERNEL.EdgeArcCircle.getCenter ( ) const

void INTERP_KERNEL.EdgeArcCircle.getCenter ( double * center ) const

bool INTERP_KERNEL.EdgeArcCircle.doIHaveSameDirectionAs ( const Edge & other ) const

void EdgeArcCircle::applySimilarity	(	double	xBary,
		double	yBary,
		double	dimChar
	)		`[virtual]`

Reimplemented from INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._center, and INTERP_KERNEL.EdgeArcCircle._radius.

double INTERP_KERNEL.EdgeArcCircle.getAngle0 ( ) const

double INTERP_KERNEL.EdgeArcCircle.getRadius ( ) const

double INTERP_KERNEL.EdgeArcCircle.getAngle ( ) const

double EdgeArcCircle::getAbsoluteAngle	(	const double *	vect,
		double &	normVect
	)		`[static]`

Given an NON normalized vector 'vect', returns its norm 'normVect' and its angle in ]-Pi,Pi] relative to Ox axe.

References INTERP_KERNEL.EdgeArcCircle.getAbsoluteAngleOfNormalizedVect(), and INTERP_KERNEL.norm().

double EdgeArcCircle::getAbsoluteAngleOfNormalizedVect	(	double	ux,
		double	uy
	)		`[static]`

Given a normalized vector defined by (ux,uy) returns its angle in ]-Pi;Pi]. So before using this method ux*ux+uy*uy should as much as possible close to 1. This methods is quite time consuming in order to keep as much as possible precision. It is NOT ALWAYS possible to do that only in one call of acos. Sometimes call to asin is necessary due to imperfection of acos near 0. and Pi (cos x ~ 1-x*x/2.)

References testMEDMEM.ret, INTERP_KERNEL.EdgeArcCircle.safeAcos(), and INTERP_KERNEL.EdgeArcCircle.safeAsin().

void EdgeArcCircle::getArcOfCirclePassingThru	(	const double *	start,
		const double *	middle,
		const double *	end,
		double *	center,
		double &	radius,
		double &	angleInRad,
		double &	angleInRad0
	)		`[static]`

References INTERP_KERNEL.EdgeArcCircle.getAbsoluteAngleOfNormalizedVect(), INTERP_KERNEL.EdgeArcCircle.isAngleNotIn(), and INTERP_KERNEL.EdgeArcCircle.safeSqrt().

static double INTERP_KERNEL.EdgeArcCircle.safeSqrt ( double val ) [static]

To avoid in aggressive optimizations nan.

References testMEDMEM.ret.

static double INTERP_KERNEL.EdgeArcCircle.safeAcos ( double cosAngle ) [static]

References testMEDMEM.ret.

static double INTERP_KERNEL.EdgeArcCircle.safeAsin ( double sinAngle ) [static]

References testMEDMEM.ret.

bool EdgeArcCircle::isIn2Pi	(	double	start,
		double	delta,
		double	angleIn
	)		`[static]`

Parameters:

start	and
angleIn	in ]-Pi;Pi] and
delta	in ]-2Pi,2Pi[

Idem isAngleNotIn except that here 'start' in ]-Pi;Pi[ and delta in ]-2*Pi;2Pi[.

Parameters:

angleIn in ]-Pi;Pi[.

bool EdgeArcCircle::isAngleNotIn	(	double	start,
		double	delta,
		double	angleIn
	)		`[static]`

'delta' 'start' in ]-Pi;Pi[

Given the arc 'a' defined by 'start' angle and a 'delta' [-Pi;Pi] states for the angle 'angleIn' [-Pi;Pi] if it owns or not 'a'.

static double INTERP_KERNEL.EdgeArcCircle.normalizeAngle ( double angle ) [static]

for an angle 'angle' in ]-3*Pi;3*Pi[ returns angle in ]-Pi;Pi[

References INTERP_KERNEL.angle().

void EdgeArcCircle::updateBounds ( ) [protected]

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._angle0, INTERP_KERNEL.Edge._bounds, INTERP_KERNEL.EdgeArcCircle._center, INTERP_KERNEL.Edge._end, INTERP_KERNEL.EdgeArcCircle._radius, INTERP_KERNEL.Edge._start, INTERP_KERNEL.EdgeArcCircle.isIn2Pi(), and INTERP_KERNEL.Bounds.setValues().

Edge * EdgeArcCircle::buildEdgeLyingOnMe	(	Node *	start,
		Node *	end,
		bool	direction = `true`
	)		const `[protected, virtual]`

Implements INTERP_KERNEL.Edge.

References INTERP_KERNEL.EdgeArcCircle._angle, INTERP_KERNEL.EdgeArcCircle._center, INTERP_KERNEL.EdgeArcCircle._radius, INTERP_KERNEL.EdgeArcCircle.EdgeArcCircle(), and INTERP_KERNEL.EdgeArcCircle.getAbsoluteAngleOfNormalizedVect().

Field Documentation

double INTERP_KERNEL.EdgeArcCircle._angle [protected]

Value between -2Pi and 2Pi.

double INTERP_KERNEL.EdgeArcCircle._angle0 [protected]

Value between -Pi and Pi.

double INTERP_KERNEL.EdgeArcCircle._radius [protected]

double INTERP_KERNEL.EdgeArcCircle._center[2] [protected]

INTERP_KERNEL.EdgeArcCircle Class Reference

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Constructor & Destructor Documentation

Member Function Documentation

Field Documentation