BiarcList Class Reference

Clothoids: G2lib::BiarcList Class Reference

Clothoids

#include <BiarcList.hxx>

Inheritance diagram for G2lib::BiarcList:

Public Member Functions
	BiarcList (string const &name)

void	setup (GenericContainer const &gc) override

	BiarcList (BiarcList const &s)

void	init ()

void	reserve (integer n)

void	copy (BiarcList const &L)

CurveType	type () const override

BiarcList const &	operator= (BiarcList const &s)

	BiarcList (LineSegment const &LS)

	BiarcList (CircleArc const &C)

	BiarcList (Biarc const &C)

	BiarcList (PolyLine const &pl)

	BiarcList (BaseCurve const *pC)

void	build (LineSegment const &)

void	build (CircleArc const &)

void	build (ClothoidCurve const &)

void	build (Biarc const &)

void	build (BiarcList const &)

void	build (PolyLine const &)

void	build (ClothoidList const &)

void	build (Dubins const &)

void	build (Dubins3p const &)

void	push_back (LineSegment const &c)

void	push_back (CircleArc const &c)

void	push_back (Biarc const &c)

void	push_back (PolyLine const &c)

void	push_back_G1 (real_type x1, real_type y1, real_type theta1)

void	push_back_G1 (real_type x0, real_type y0, real_type theta0, real_type x1, real_type y1, real_type theta1)

bool	build_G1 (integer n, real_type const x[], real_type const y[])

bool	build_G1 (integer n, real_type const x[], real_type const y[], real_type const theta[])

Biarc const &	get (integer idx) const

Biarc const &	get_at_s (real_type s) const

integer	num_segments () const

integer	find_at_s (real_type &s) const

real_type	length () const override

real_type	length_ISO (real_type offs) const override

real_type	segment_length (integer nseg) const

real_type	segment_length_ISO (integer nseg, real_type offs) const

void	bb_triangles_ISO (real_type offs, vector< Triangle2D > &tvec, real_type max_angle=Utils::m_pi/6, real_type max_size=1e100, integer icurve=0) const override

void	bb_triangles_SAE (real_type offs, vector< Triangle2D > &tvec, real_type max_angle=Utils::m_pi/6, real_type max_size=1e100, integer icurve=0) const override

void	bb_triangles (vector< Triangle2D > &tvec, real_type max_angle=Utils::m_pi/6, real_type max_size=1e100, integer icurve=0) const override

void	bbox (real_type &xmin, real_type &ymin, real_type &xmax, real_type &ymax) const override

void	bbox_ISO (real_type offs, real_type &xmin, real_type &ymin, real_type &xmax, real_type &ymax) const override

real_type	theta_begin () const override

real_type	theta_end () const override

real_type	x_begin () const override

real_type	y_begin () const override

real_type	x_end () const override

real_type	y_end () const override

real_type	x_begin_ISO (real_type offs) const override

real_type	y_begin_ISO (real_type offs) const override

real_type	x_end_ISO (real_type offs) const override

real_type	y_end_ISO (real_type offs) const override

real_type	tx_begin () const override

real_type	ty_begin () const override

real_type	tx_end () const override

real_type	ty_end () const override

real_type	nx_begin_ISO () const override

real_type	ny_begin_ISO () const override

real_type	nx_end_ISO () const override

real_type	ny_end_ISO () const override

real_type	theta (real_type) const override

real_type	theta_D (real_type) const override

real_type	theta_DD (real_type) const override

real_type	theta_DDD (real_type) const override

real_type	tx (real_type) const override

real_type	ty (real_type) const override

real_type	tx_D (real_type) const override

real_type	ty_D (real_type) const override

real_type	tx_DD (real_type) const override

real_type	ty_DD (real_type) const override

real_type	tx_DDD (real_type) const override

real_type	ty_DDD (real_type) const override

void	tg (real_type s, real_type &tg_x, real_type &tg_y) const override

void	tg_D (real_type s, real_type &tg_x_D, real_type &tg_y_D) const override

void	tg_DD (real_type s, real_type &tg_x_DD, real_type &tg_y_DD) const override

void	tg_DDD (real_type s, real_type &tg_x_DDD, real_type &tg_y_DDD) const override

void	evaluate (real_type s, real_type &th, real_type &k, real_type &x, real_type &y) const override

void	evaluate_ISO (real_type s, real_type offs, real_type &th, real_type &k, real_type &x, real_type &y) const override

real_type	X (real_type) const override

real_type	Y (real_type) const override

real_type	X_D (real_type) const override

real_type	Y_D (real_type) const override

real_type	X_DD (real_type) const override

real_type	Y_DD (real_type) const override

real_type	X_DDD (real_type) const override

real_type	Y_DDD (real_type) const override

void	eval (real_type s, real_type &x, real_type &y) const override

void	eval_D (real_type s, real_type &x_D, real_type &y_D) const override

void	eval_DD (real_type s, real_type &x_DD, real_type &y_DD) const override

void	eval_DDD (real_type s, real_type &x_DDD, real_type &y_DDD) const override

real_type	X_ISO (real_type s, real_type offs) const override

real_type	Y_ISO (real_type s, real_type offs) const override

real_type	X_ISO_D (real_type s, real_type offs) const override

real_type	Y_ISO_D (real_type s, real_type offs) const override

real_type	X_ISO_DD (real_type s, real_type offs) const override

real_type	Y_ISO_DD (real_type s, real_type offs) const override

real_type	X_ISO_DDD (real_type s, real_type offs) const override

real_type	Y_ISO_DDD (real_type s, real_type offs) const override

void	eval_ISO (real_type s, real_type offs, real_type &x, real_type &y) const override

void	eval_ISO_D (real_type s, real_type offs, real_type &x_D, real_type &y_D) const override

void	eval_ISO_DD (real_type s, real_type offs, real_type &x_DD, real_type &y_DD) const override

void	eval_ISO_DDD (real_type s, real_type offs, real_type &x_DDD, real_type &y_DDD) const override

void	translate (real_type tx, real_type ty) override
	translate curve by \((t_x,t_y)\)

void	rotate (real_type angle, real_type cx, real_type cy) override

void	scale (real_type sc) override

void	reverse () override

void	change_origin (real_type newx0, real_type newy0) override

void	trim (real_type s_begin, real_type s_end) override

integer	closest_point_ISO (real_type qx, real_type qy, real_type &x, real_type &y, real_type &s, real_type &t, real_type &dst) const override

integer	closest_point_ISO (real_type qx, real_type qy, real_type offs, real_type &x, real_type &y, real_type &s, real_type &t, real_type &dst) const override

string	info () const

void	info (ostream_type &stream) const override

void	get_STK (real_type s[], real_type theta[], real_type kappa[]) const

void	get_XY (real_type x[], real_type y[]) const

integer	findST1 (real_type x, real_type y, real_type &s, real_type &t) const

integer	findST1 (integer ibegin, integer iend, real_type x, real_type y, real_type &s, real_type &t) const

bool	collision (BiarcList const &BL) const

bool	collision_ISO (real_type offs, BiarcList const &BL, real_type offs_C) const

bool	collision (BaseCurve const *pC) const override

bool	collision_ISO (real_type offs, BaseCurve const *pC, real_type offs_C) const override

void	intersect (BiarcList const &BL, IntersectList &ilist) const

void	intersect_ISO (real_type offs, BiarcList const &BL, real_type offs_obj, IntersectList &ilist) const

void	intersect (BaseCurve const *pC, IntersectList &ilist) const override

void	intersect_ISO (real_type offs, BaseCurve const *pC, real_type offs_LS, IntersectList &ilist) const override

real_type	x_begin_SAE (real_type offs) const

real_type	y_begin_SAE (real_type offs) const

real_type	x_end_SAE (real_type offs) const

real_type	y_end_SAE (real_type offs) const

real_type	nx_begin_SAE () const

real_type	ny_begin_SAE () const

real_type	nx_end_SAE () const

real_type	ny_end_SAE () const

real_type	X_SAE (real_type s, real_type offs) const

real_type	X_SAE_D (real_type s, real_type offs) const

real_type	X_SAE_DD (real_type s, real_type offs) const

real_type	X_SAE_DDD (real_type s, real_type offs) const

real_type	Y_SAE (real_type s, real_type offs) const

real_type	Y_SAE_D (real_type s, real_type offs) const

real_type	Y_SAE_DD (real_type s, real_type offs) const

real_type	Y_SAE_DDD (real_type s, real_type offs) const

virtual void	evaluate_SAE (real_type s, real_type offs, real_type &th, real_type &k, real_type &x, real_type &y) const

void	eval_SAE (real_type s, real_type offs, real_type &x, real_type &y) const

void	eval_SAE_D (real_type s, real_type offs, real_type &x_D, real_type &y_D) const

void	eval_SAE_DD (real_type s, real_type offs, real_type &x_DD, real_type &y_DD) const

void	eval_SAE_DDD (real_type s, real_type offs, real_type &x_DDD, real_type &y_DDD) const

integer	closest_point_SAE (real_type qx, real_type qy, real_type &x, real_type &y, real_type &s, real_type &t, real_type &dst) const

integer	closest_point_SAE (real_type qx, real_type qy, real_type offs, real_type &x, real_type &y, real_type &s, real_type &t, real_type &dst) const

real_type	distance_ISO (real_type qx, real_type qy, real_type offs) const

real_type	distance_SAE (real_type qx, real_type qy, real_type offs) const

Public Member Functions inherited from G2lib::BaseCurve
	BaseCurve (BaseCurve const &)=delete

BaseCurve const &	operator= (BaseCurve const &)=delete

	BaseCurve (string const &name)

void	build (GenericContainer const &gc)

string	name () const

string	type_name () const

real_type	length_SAE (real_type offs) const

void	bbox_SAE (real_type offs, real_type &xmin, real_type &ymin, real_type &xmax, real_type &ymax) const

virtual real_type	kappa_begin () const

virtual real_type	kappa_end () const

real_type	x_begin_SAE (real_type offs) const

real_type	y_begin_SAE (real_type offs) const

real_type	x_end_SAE (real_type offs) const

real_type	y_end_SAE (real_type offs) const

real_type	nx_begin_SAE () const

real_type	ny_begin_SAE () const

real_type	nx_end_SAE () const

real_type	ny_end_SAE () const

real_type	kappa (real_type s) const

real_type	kappa_D (real_type s) const

real_type	kappa_DD (real_type s) const

real_type	nx_ISO (real_type s) const

real_type	nx_ISO_D (real_type s) const

real_type	nx_ISO_DD (real_type s) const

real_type	nx_ISO_DDD (real_type s) const

real_type	ny_ISO (real_type s) const

real_type	ny_ISO_D (real_type s) const

real_type	ny_ISO_DD (real_type s) const

real_type	ny_ISO_DDD (real_type s) const

real_type	nx_SAE (real_type s) const

real_type	nx_SAE_D (real_type s) const

real_type	nx_SAE_DD (real_type s) const

real_type	nx_SAE_DDD (real_type s) const

real_type	ny_SAE (real_type s) const

real_type	ny_SAE_D (real_type s) const

real_type	ny_SAE_DD (real_type s) const

real_type	ny_SAE_DDD (real_type s) const

void	nor_ISO (real_type s, real_type &nx, real_type &ny) const

void	nor_ISO_D (real_type s, real_type &nx_D, real_type &ny_D) const

void	nor_ISO_DD (real_type s, real_type &nx_DD, real_type &ny_DD) const

void	nor_ISO_DDD (real_type s, real_type &nx_DDD, real_type &ny_DDD) const

void	nor_SAE (real_type s, real_type &nx, real_type &ny) const

void	nor_SAE_D (real_type s, real_type &nx_D, real_type &ny_D) const

void	nor_SAE_DD (real_type s, real_type &nx_DD, real_type &ny_DD) const

void	nor_SAE_DDD (real_type s, real_type &nx_DDD, real_type &ny_DDD) const

real_type	X_SAE (real_type s, real_type offs) const

real_type	Y_SAE (real_type s, real_type offs) const

real_type	X_SAE_D (real_type s, real_type offs) const

real_type	Y_SAE_D (real_type s, real_type offs) const

real_type	X_SAE_DD (real_type s, real_type offs) const

real_type	Y_SAE_DD (real_type s, real_type offs) const

real_type	X_SAE_DDD (real_type s, real_type offs) const

real_type	Y_SAE_DDD (real_type s, real_type offs) const

void	eval_SAE (real_type s, real_type offs, real_type &x, real_type &y) const

void	eval_SAE_D (real_type s, real_type offs, real_type &x_D, real_type &y_D) const

void	eval_SAE_DD (real_type s, real_type offs, real_type &x_DD, real_type &y_DD) const

void	eval_SAE_DDD (real_type s, real_type offs, real_type &x_DDD, real_type &y_DDD) const

bool	collision_SAE (real_type offs, BaseCurve const *pC, real_type offs_C) const

void	intersect_SAE (real_type offs, BaseCurve const *pC, real_type offs_C, IntersectList &ilist) const

integer	closest_point_SAE (real_type qx, real_type qy, real_type &x, real_type &y, real_type &s, real_type &t, real_type &dst) const

integer	closest_point_SAE (real_type qx, real_type qy, real_type offs, real_type &x, real_type &y, real_type &s, real_type &t, real_type &dst) const

virtual real_type	distance (real_type qx, real_type qy) const

real_type	distance_ISO (real_type qx, real_type qy, real_type offs) const

real_type	distance_SAE (real_type qx, real_type qy, real_type offs) const

bool	findST_ISO (real_type x, real_type y, real_type &s, real_type &t) const

bool	findST_SAE (real_type x, real_type y, real_type &s, real_type &t) const

Friends
class	ClothoidList

ostream_type &	operator<< (ostream_type &stream, BiarcList const &CL)

Detailed Description

Class to manage a list of biarc Curve (not necessarily \( G^2 \) or \( G^1 \) connected)

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Constructor & Destructor Documentation

◆ BiarcList() [1/7]

G2lib::BiarcList::BiarcList ( string const & name )

inline

eof: BaseCurve_using.hxx Build an empty biarc spline.

◆ BiarcList() [2/7]

G2lib::BiarcList::BiarcList ( BiarcList const & s )

inline

Build a copy of another biarc spline.

◆ BiarcList() [3/7]

G2lib::BiarcList::BiarcList ( LineSegment const & LS )

explicit

Build a biarc list from a line segment.

◆ BiarcList() [4/7]

G2lib::BiarcList::BiarcList ( CircleArc const & C )

explicit

Build a biarc list from a single circle arc.

◆ BiarcList() [5/7]

G2lib::BiarcList::BiarcList ( Biarc const & C )

explicit

Build a biarc list from a single biarc.

◆ BiarcList() [6/7]

G2lib::BiarcList::BiarcList ( PolyLine const & pl )

explicit

Build a biarc list from a single polyline.

◆ BiarcList() [7/7]

G2lib::BiarcList::BiarcList ( BaseCurve const * pC )

explicit

Build a biarc list from another curve.

Member Function Documentation

◆ bb_triangles()

void G2lib::BiarcList::bb_triangles	(	vector< Triangle2D > &	tvec,
		real_type	max_angle = Utils::m_pi/6,
		real_type	max_size = 1e100,
		integer	icurve = 0 ) const

overridevirtual

Build a cover with triangles of the curve.

Parameters

[out]	tvec	list of covering triangles
[out]	max_angle	maximum angle variation of the curve covered by a triangle
[out]	max_size	maximum admissible size of the covering tirnagles
[out]	icurve	index of the covering triangles

'

Implements G2lib::BaseCurve.

◆ bb_triangles_ISO()

void G2lib::BiarcList::bb_triangles_ISO	(	real_type	offs,
		vector< Triangle2D > &	tvec,
		real_type	max_angle = Utils::m_pi/6,
		real_type	max_size = 1e100,
		integer	icurve = 0 ) const

overridevirtual

Build a cover with triangles of the curve with offset (ISO).

Parameters

[out]	offs	curve offset
[out]	tvec	list of covering triangles
[out]	max_angle	maximum angle variation of the curve covered by a triangle
[out]	max_size	maximum admissible size of the covering tirnagles
[out]	icurve	index of the covering triangles

Implements G2lib::BaseCurve.

◆ bb_triangles_SAE()

void G2lib::BiarcList::bb_triangles_SAE	(	real_type	offs,
		vector< Triangle2D > &	tvec,
		real_type	max_angle = Utils::m_pi/6,
		real_type	max_size = 1e100,
		integer	icurve = 0 ) const

overridevirtual

Build a cover with triangles of the curve with offset (SAE).

Parameters

[out]	offs	curve offset
[out]	tvec	list of covering triangles
[out]	max_angle	maximum angle variation of the arc covered by a triangle
[out]	max_size	maximum admissible size of the covering tirnagles
[out]	icurve	index of the covering triangles

Implements G2lib::BaseCurve.

◆ bbox()

void G2lib::BiarcList::bbox	(	real_type &	xmin,
		real_type &	ymin,
		real_type &	xmax,
		real_type &	ymax ) const

inlineoverridevirtual

Compute the bounding box of the curve.

Parameters

[out]	xmin	left bottom
[out]	ymin	left bottom
[out]	xmax	right top
[out]	ymax	right top

Implements G2lib::BaseCurve.

◆ bbox_ISO()

void G2lib::BiarcList::bbox_ISO	(	real_type	offs,
		real_type &	xmin,
		real_type &	ymin,
		real_type &	xmax,
		real_type &	ymax ) const

overridevirtual

Compute the bounding box of the curve with offset (ISO).

Parameters

[in]	offs	curve offset
[out]	xmin	left bottom
[out]	ymin	left bottom
[out]	xmax	right top
[out]	ymax	right top

Implements G2lib::BaseCurve.

◆ build_G1() [1/2]

bool G2lib::BiarcList::build_G1	(	integer	n,
		real_type const	x[],
		real_type const	y[] )

Construct a biarc list passing to the points \( (x_i,y_i) \).

Parameters

[in]	n	number of points
[in]	x	\(x\)-coordinates
[in]	y	\(y\)-coordinates

◆ build_G1() [2/2]

bool G2lib::BiarcList::build_G1	(	integer	n,
		real_type const	x[],
		real_type const	y[],
		real_type const	theta[] )

Construct a biarc list passing to the points \( (x_i,y_i) \) with angles \( \theta_i \).

Parameters

[in]	n	number of points
[in]	x	\(x\)-coordinates
[in]	y	\(y\)-coordinates
[in]	theta	angles at nodes

◆ change_origin()

void G2lib::BiarcList::change_origin	(	real_type	newx0,
		real_type	newy0 )

overridevirtual

Translate curve so that origin will be (newx0, newy0).

Implements G2lib::BaseCurve.

◆ closest_point_ISO() [1/2]

integer G2lib::BiarcList::closest_point_ISO	(	real_type	qx,
		real_type	qy,
		real_type &	x,
		real_type &	y,
		real_type &	s,
		real_type &	t,
		real_type &	dst ) const

overridevirtual

Given a point find closest point on the curve.

Parameters

qx	\(x\)-coordinate of the point
qy	\(y\)-coordinate of the point
x	\(x\)-coordinate of the projected point on the curve
y	\(y\)-coordinate of the projected point on the curve
s	parameter on the curve of the projection
t	curvilinear coordinate of the point x,y (if orthogonal projection)
dst	distance point projected point

Returns: 1 = point is projected orthogonal 0 = more than one projection (first returned) -1 = minimum point is not othogonal projection to curve

Implements G2lib::BaseCurve.

◆ closest_point_ISO() [2/2]

integer G2lib::BiarcList::closest_point_ISO	(	real_type	qx,
		real_type	qy,
		real_type	offs,
		real_type &	x,
		real_type &	y,
		real_type &	s,
		real_type &	t,
		real_type &	dst ) const

overridevirtual

Given a point find closest point on the curve.

Parameters

qx	\(x\)-coordinate of the point
qy	\(y\)-coordinate of the point
offs	offset of the curve
x	\(x\)-coordinate of the projected point on the curve
y	\(y\)-coordinate of the projected point on the curve
s	parameter on the curve of the projection
t	curvilinear coordinate of the point x,y (if orthogonal projection)
dst	distance point projected point

Returns: 1 = point is projected orthogonal 0 = more than one projection (first returned) -1 = minimum point is not othogonal projection to curve

Implements G2lib::BaseCurve.

◆ closest_point_SAE() [1/2]

integer G2lib::BaseCurve::closest_point_SAE	(	real_type	qx,
		real_type	qy,
		real_type &	x,
		real_type &	y,
		real_type &	s,
		real_type &	t,
		real_type &	dst ) const

inline

Given a point find closest point on the curve.

Parameters

qx	\(x\)-coordinate of the point
qy	\(y\)-coordinate of the point
x	\(x\)-coordinate of the projected point on the curve
y	\(y\)-coordinate of the projected point on the curve
s	parameter on the curve of the projection
t	curvilinear coordinate of the point x,y (if orthogonal projection)
dst	distance point projected point

Returns: 1 = point is projected orthogonal 0 = more than one projection (first returned) -1 = minimum point is not othogonal projection to curve

◆ closest_point_SAE() [2/2]

integer G2lib::BaseCurve::closest_point_SAE	(	real_type	qx,
		real_type	qy,
		real_type	offs,
		real_type &	x,
		real_type &	y,
		real_type &	s,
		real_type &	t,
		real_type &	dst ) const

inline

Given a point find closest point on the curve.

Parameters

qx	\(x\)-coordinate of the point
qy	\(y\)-coordinate of the point
offs	offset of the curve
x	\(x\)-coordinate of the projected point on the curve
y	\(y\)-coordinate of the projected point on the curve
s	parameter on the curve of the projection
t	curvilinear coordinate of the point x,y (if orthogonal projection)
dst	distance point projected point

Returns: 1 = point is projected orthogonal 0 = more than one projection (first returned) -1 = minimum point is not othogonal projection to curve

◆ collision() [1/2]

bool G2lib::BiarcList::collision ( BaseCurve const * pC ) const

overridevirtual

Check collision with another curve.

Implements G2lib::BaseCurve.

◆ collision() [2/2]

bool G2lib::BiarcList::collision ( BiarcList const & BL ) const

inline

Detect a collision with another biarc list.

◆ collision_ISO() [1/2]

bool G2lib::BiarcList::collision_ISO	(	real_type	offs,
		BaseCurve const *	pC,
		real_type	offs_C ) const

overridevirtual

Check collision with another curve with offset (ISO).

Parameters

[in]	offs	curve offset
[in]	pC	second curve to check collision
[in]	offs_C	curve offset of the second curve

Returns: true if collision is detected

Implements G2lib::BaseCurve.

◆ collision_ISO() [2/2]

bool G2lib::BiarcList::collision_ISO	(	real_type	offs,
		BiarcList const &	BL,
		real_type	offs_C ) const

Detect a collision with another biarc list with offset.

Parameters

[in]	offs	offset of first biarc
[in]	BL	second biarc
[in]	offs_C	offset of second biarc

◆ copy()

void G2lib::BiarcList::copy ( BiarcList const & L )

Copy another biarc spline.

◆ distance_ISO()

real_type G2lib::BaseCurve::distance_ISO	(	real_type	qx,
		real_type	qy,
		real_type	offs ) const

inline

Compute the distance between a point \(q=(q_x,q_y)\) and the curve with offset (ISO).

Parameters

[in]	qx	component \(q_x\)
[in]	qy	component \(q_y\)
[in]	offs	offset of the curve

Returns: the computed distance

◆ distance_SAE()

real_type G2lib::BaseCurve::distance_SAE	(	real_type	qx,
		real_type	qy,
		real_type	offs ) const

inline

Compute the distance between a point \(q=(q_x,q_y)\) and the curve with offset (SAE).

Parameters

[in]	qx	component \(q_x\)
[in]	qy	component \(q_y\)
[in]	offs	offset of the curve

Returns: the computed distance

◆ eval()

void G2lib::BiarcList::eval	(	real_type	s,
		real_type &	x,
		real_type &	y ) const

overridevirtual

x and \(y\)-coordinate at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ eval_D()

void G2lib::BiarcList::eval_D	(	real_type	s,
		real_type &	x_D,
		real_type &	y_D ) const

overridevirtual

x and \(y\)-coordinate derivative at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ eval_DD()

void G2lib::BiarcList::eval_DD	(	real_type	s,
		real_type &	x_DD,
		real_type &	y_DD ) const

overridevirtual

x and \(y\)-coordinate second derivative at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ eval_DDD()

void G2lib::BiarcList::eval_DDD	(	real_type	s,
		real_type &	x_DDD,
		real_type &	y_DDD ) const

overridevirtual

x and \(y\)-coordinate third derivative at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ eval_ISO()

void G2lib::BiarcList::eval_ISO	(	real_type	s,
		real_type	offs,
		real_type &	x,
		real_type &	y ) const

overridevirtual

Compute curve at position s with offset offs (ISO).

Parameters

[in]	s	parameter on the curve
[in]	offs	offset of the curve
[out]	x	coordinate
[out]	y	coordinate

Reimplemented from G2lib::BaseCurve.

◆ eval_ISO_D()

void G2lib::BiarcList::eval_ISO_D	(	real_type	s,
		real_type	offs,
		real_type &	x_D,
		real_type &	y_D ) const

overridevirtual

Compute derivative curve at position s with offset offs (ISO).

Parameters

[in]	s	parameter on the curve
[in]	offs	offset of the curve
[out]	x_D	\(x\)-coordinate
[out]	y_D	\(y\)-coordinate

Reimplemented from G2lib::BaseCurve.

◆ eval_ISO_DD()

void G2lib::BiarcList::eval_ISO_DD	(	real_type	s,
		real_type	offs,
		real_type &	x_DD,
		real_type &	y_DD ) const

overridevirtual

Compute second derivative curve at position s with offset offs (ISO).

Parameters

[in]	s	parameter on the curve
[in]	offs	offset of the curve
[out]	x_DD	\(x\)-coordinate second derivative
[out]	y_DD	\(y\)-coordinate second derivative

Reimplemented from G2lib::BaseCurve.

◆ eval_ISO_DDD()

void G2lib::BiarcList::eval_ISO_DDD	(	real_type	s,
		real_type	offs,
		real_type &	x_DDD,
		real_type &	y_DDD ) const

overridevirtual

Compute third derivative curve at position s with offset offs (ISO).

Parameters

[in]	s	parameter on the curve
[in]	offs	offset of the curve
[out]	x_DDD	\(x\)-coordinate third derivative
[out]	y_DDD	\(y\)-coordinate third derivative

Reimplemented from G2lib::BaseCurve.

◆ eval_SAE()

void G2lib::BaseCurve::eval_SAE	(	real_type	s,
		real_type	offs,
		real_type &	x,
		real_type &	y ) const

inline

Compute curve at position s with offset offs (SAE).

Parameters

[in]	s	parameter on the curve
[in]	offs	offset of the curve
[out]	x	coordinate
[out]	y	coordinate

◆ eval_SAE_D()

void G2lib::BaseCurve::eval_SAE_D	(	real_type	s,
		real_type	offs,
		real_type &	x_D,
		real_type &	y_D ) const

inline

Compute derivative curve at position s with offset offs (SAE).

Parameters

[in]	s	parameter on the curve
[in]	offs	offset of the curve
[out]	x_D	\(x\)-coordinate first derivative
[out]	y_D	\(y\)-coordinate first derivative

◆ eval_SAE_DD()

void G2lib::BaseCurve::eval_SAE_DD	(	real_type	s,
		real_type	offs,
		real_type &	x_DD,
		real_type &	y_DD ) const

inline

Compute second derivative curve at position s with offset offs (SAE).

Parameters

[in]	s	parameter on the curve
[in]	offs	offset of the curve
[out]	x_DD	\(x\)-coordinate second derivative
[out]	y_DD	\(y\)-coordinate second derivative

◆ eval_SAE_DDD()

void G2lib::BaseCurve::eval_SAE_DDD	(	real_type	s,
		real_type	offs,
		real_type &	x_DDD,
		real_type &	y_DDD ) const

inline

Compute third derivative curve at position s with offset offs (SAE).

Parameters

[in]	s	parameter on the curve
[in]	offs	offset of the curve
[out]	x_DDD	\(x\)-coordinate third derivative
[out]	y_DDD	\(y\)-coordinate third derivative

◆ evaluate()

void G2lib::BiarcList::evaluate	(	real_type	s,
		real_type &	th,
		real_type &	k,
		real_type &	x,
		real_type &	y ) const

overridevirtual

Evaluate curve at curvilinear coordinate \(s\).

Parameters

[in]	s	curvilinear coordinate
[out]	th	angle
[out]	k	curvature
[out]	x	\(x\)-coordinate
[out]	y	\(y\)-coordinate

Reimplemented from G2lib::BaseCurve.

◆ evaluate_ISO()

void G2lib::BiarcList::evaluate_ISO	(	real_type	s,
		real_type	offs,
		real_type &	th,
		real_type &	k,
		real_type &	x,
		real_type &	y ) const

overridevirtual

Evaluate curve with offset at curvilinear coordinate \(s\) (ISO).

Parameters

[in]	s	curvilinear coordinate
[in]	offs	offset
[out]	th	angle
[out]	k	curvature
[out]	x	\(x\)-coordinate
[out]	y	\(y\)-coordinate

Reimplemented from G2lib::BaseCurve.

◆ evaluate_SAE()

virtual void G2lib::BaseCurve::evaluate_SAE	(	real_type	s,
		real_type	offs,
		real_type &	th,
		real_type &	k,
		real_type &	x,
		real_type &	y ) const

inlinevirtual

Evaluate curve with offset at curvilinear coordinate \(s\) (SAE).

Parameters

[in]	s	curvilinear coordinate
[in]	offs	offset
[out]	th	angle
[out]	k	curvature
[out]	x	\(x\)-coordinate
[out]	y	\(y\)-coordinate

Reimplemented from G2lib::BaseCurve.

◆ find_at_s()

integer G2lib::BiarcList::find_at_s ( real_type & s ) const

Get the of the biarc that contain the curvilinear coordinate \(s\).

◆ findST1() [1/2]

integer G2lib::BiarcList::findST1	(	integer	ibegin,
		integer	iend,
		real_type	x,
		real_type	y,
		real_type &	s,
		real_type &	t ) const

Find parametric coordinate.

Parameters

ibegin	initial segment to compute the distance
iend	final segment to compute the distance
x	\(x\)-coordinate point
y	\(y\)-coordinate point
s	value \( s \)
t	value \( t \)

Returns: idx the segment with point at minimal distance, otherwise -(idx+1) if \((x,y)\) cannot be projected orthogonally on the segment

◆ findST1() [2/2]

integer G2lib::BiarcList::findST1	(	real_type	x,
		real_type	y,
		real_type &	s,
		real_type &	t ) const

Find parametric coordinate.

Parameters

x	\(x\)-coordinate point
y	\(y\)-coordinate point
s	value \( s \)
t	value \( t \)

Returns: idx the segment with point at minimal distance, otherwise -(idx+1) if \((x,y)\) cannot be projected orthogonally on the segment

◆ get()

Biarc const & G2lib::BiarcList::get ( integer idx ) const

Get the idx-th biarc.

◆ get_at_s()

Biarc const & G2lib::BiarcList::get_at_s ( real_type s ) const

Get the biarc that contain the curvilinear coordinate \(s\).

◆ get_STK()

void G2lib::BiarcList::get_STK	(	real_type	s[],
		real_type	theta[],
		real_type	kappa[] ) const

Return the biarc as a list of nodes angles and curvatures.

Parameters

[out]	s	nodes
[out]	theta	angles
[out]	kappa	curvature

◆ get_XY()

void G2lib::BiarcList::get_XY	(	real_type	x[],
		real_type	y[] ) const

Return the biarc XY nodes

Parameters

[out]	x	\( x \)-nodes
[out]	y	\( y \)-nodes

◆ info()

void G2lib::BiarcList::info ( ostream_type & stream ) const

inlineoverridevirtual

Pretty print of the curve data.

Implements G2lib::BaseCurve.

◆ init()

void G2lib::BiarcList::init ( )

Empty the the biarc list.

◆ intersect() [1/2]

void G2lib::BiarcList::intersect	(	BaseCurve const *	pC,
		IntersectList &	ilist ) const

overridevirtual

Intersect the curve with another curve.

Parameters

[in]	pC	second curve intersect
[out]	ilist	list of the intersection (as parameter on the curves)

Implements G2lib::BaseCurve.

◆ intersect() [2/2]

void G2lib::BiarcList::intersect	(	BiarcList const &	BL,
		IntersectList &	ilist ) const

inline

intersect a biarc list with another biarc list

Parameters

[in]	BL	second biarc
[out]	ilist	list of the intersection (as parameter on the curves)

◆ intersect_ISO() [1/2]

void G2lib::BiarcList::intersect_ISO	(	real_type	offs,
		BaseCurve const *	pC,
		real_type	offs_C,
		IntersectList &	ilist ) const

overridevirtual

Intersect the curve with another curve with offset (ISO)

Parameters

[in]	offs	offset first curve
[in]	pC	second curve intersect
[in]	offs_C	offset second curve
[out]	ilist	list of the intersection (as parameter on the curves)

Implements G2lib::BaseCurve.

◆ intersect_ISO() [2/2]

void G2lib::BiarcList::intersect_ISO	(	real_type	offs,
		BiarcList const &	BL,
		real_type	offs_obj,
		IntersectList &	ilist ) const

Intersect a biarc list with another biarc list with offset (ISO).

Parameters

[in]	offs	offset of first biarc
[in]	BL	second biarc
[in]	offs_obj	offset of second biarc
[out]	ilist	list of the intersection (as parameter on the curves)

◆ length()

real_type G2lib::BiarcList::length ( ) const

overridevirtual

The length of the curve

Implements G2lib::BaseCurve.

◆ length_ISO()

real_type G2lib::BiarcList::length_ISO ( real_type offs ) const

overridevirtual

The length of the curve with offset (ISO)

Implements G2lib::BaseCurve.

◆ num_segments()

integer G2lib::BiarcList::num_segments ( ) const

inline

Return the number of biarc in the biarc list.

◆ nx_begin_ISO()

real_type G2lib::BiarcList::nx_begin_ISO ( ) const

inlineoverridevirtual

Intial normal \(x\)-coordinate (ISO).

Reimplemented from G2lib::BaseCurve.

◆ nx_begin_SAE()

real_type G2lib::BaseCurve::nx_begin_SAE ( ) const

inline

Intial normal \(x\)-coordinate (SAE).

◆ nx_end_ISO()

real_type G2lib::BiarcList::nx_end_ISO ( ) const

inlineoverridevirtual

Final normal \(x\)-coordinate (ISO).

Reimplemented from G2lib::BaseCurve.

◆ nx_end_SAE()

real_type G2lib::BaseCurve::nx_end_SAE ( ) const

inline

Final normal \(x\)-coordinate (SAE).

◆ ny_begin_ISO()

real_type G2lib::BiarcList::ny_begin_ISO ( ) const

inlineoverridevirtual

Intial normal \(y\)-coordinate (ISO).

Reimplemented from G2lib::BaseCurve.

◆ ny_begin_SAE()

real_type G2lib::BaseCurve::ny_begin_SAE ( ) const

inline

Intial normal \(y\)-coordinate (SAE).

◆ ny_end_ISO()

real_type G2lib::BiarcList::ny_end_ISO ( ) const

inlineoverridevirtual

Final normal \(y\)-coordinate (ISO).

Reimplemented from G2lib::BaseCurve.

◆ ny_end_SAE()

real_type G2lib::BaseCurve::ny_end_SAE ( ) const

inline

Intial normal \(y\)-coordinate (SAE).

◆ operator=()

BiarcList const & G2lib::BiarcList::operator= ( BiarcList const & s )

inline

Copy another biarc spline.

◆ push_back() [1/4]

void G2lib::BiarcList::push_back ( Biarc const & c )

Append a biarc to the biarc list.

◆ push_back() [2/4]

void G2lib::BiarcList::push_back ( CircleArc const & c )

Append a line circle to the biarc list (transformed to a degenerate biarc).

◆ push_back() [3/4]

void G2lib::BiarcList::push_back ( LineSegment const & c )

Append a line segment to the biarc list (transformed to a degenerate biarc).

◆ push_back() [4/4]

void G2lib::BiarcList::push_back ( PolyLine const & c )

Append a polyline to the biarc list (transformed to a list of degenerate biarc).

◆ push_back_G1() [1/2]

void G2lib::BiarcList::push_back_G1	(	real_type	x0,
		real_type	y0,
		real_type	theta0,
		real_type	x1,
		real_type	y1,
		real_type	theta1 )

Construct a biarc passing from the points \( (x_0,y_0) \) to the point \( (x_1,y_1) \) with initial angle \( \theta_0 \) and final angle \( \theta_1 \) and append the biarc to the tail of biarc list.

Parameters

[in]	x0	\( x_0 \)
[in]	y0	\( y_0 \)
[in]	theta0	\( \theta_0 \)
[in]	x1	\( x_1 \)
[in]	y1	\( y_1 \)
[in]	theta1	\( \theta_1 \)

◆ push_back_G1() [2/2]

void G2lib::BiarcList::push_back_G1	(	real_type	x1,
		real_type	y1,
		real_type	theta1 )

Construct a biarc passing from the points \( (x_0,y_0) \) to the point \( (x_1,y_1) \) with initial angle \( \theta_0 \) and final angle \( \theta_1 \) and append the biarc to the tail of biarc list. The initial point and angle is taken from the tail of the biarc list.

Parameters

[in]	x1	\( x_1 \)
[in]	y1	\( y_1 \)
[in]	theta1	\( \theta_1 \)

◆ reserve()

void G2lib::BiarcList::reserve ( integer n )

Reserve memory for n biarcs.

◆ reverse()

void G2lib::BiarcList::reverse ( )

overridevirtual

Reverse curve parameterization.

Implements G2lib::BaseCurve.

◆ rotate()

void G2lib::BiarcList::rotate	(	real_type	angle,
		real_type	cx,
		real_type	cy )

overridevirtual

Rotate curve by angle \(\theta\) centered at point \((c_x,c_y)\).

Parameters

[in]	angle	angle \(\theta\)
[in]	cx	\(c_x\)
[in]	cy	\(c_y\)

Implements G2lib::BaseCurve.

◆ scale()

void G2lib::BiarcList::scale ( real_type sc )

overridevirtual

Scale curve by factor sc.

Implements G2lib::BaseCurve.

◆ segment_length()

real_type G2lib::BiarcList::segment_length ( integer nseg ) const

The length of the nseg-th biarc.

◆ segment_length_ISO()

real_type G2lib::BiarcList::segment_length_ISO	(	integer	nseg,
		real_type	offs ) const

The length of the nseg-th biarc with offset offs.

◆ setup()

void G2lib::BiarcList::setup ( GenericContainer const & gc )

overridevirtual

Implements G2lib::BaseCurve.

◆ tg()

void G2lib::BiarcList::tg	(	real_type	s,
		real_type &	tg_x,
		real_type &	tg_y ) const

overridevirtual

Tangent at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ tg_D()

void G2lib::BiarcList::tg_D	(	real_type	s,
		real_type &	tg_x_D,
		real_type &	tg_y_D ) const

overridevirtual

Tangent derivative at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ tg_DD()

void G2lib::BiarcList::tg_DD	(	real_type	s,
		real_type &	tg_x_DD,
		real_type &	tg_y_DD ) const

overridevirtual

Tangent second derivative at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ tg_DDD()

void G2lib::BiarcList::tg_DDD	(	real_type	s,
		real_type &	tg_x_DDD,
		real_type &	tg_y_DDD ) const

overridevirtual

Tangent third derivative at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ theta()

real_type G2lib::BiarcList::theta ( real_type s ) const

overridevirtual

Angle at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ theta_begin()

real_type G2lib::BiarcList::theta_begin ( ) const

inlineoverridevirtual

Initial angle of the curve.

Reimplemented from G2lib::BaseCurve.

◆ theta_D()

real_type G2lib::BiarcList::theta_D ( real_type s ) const

overridevirtual

Angle derivative (curvature) at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ theta_DD()

real_type G2lib::BiarcList::theta_DD ( real_type s ) const

overridevirtual

Angle second derivative (devitive of curvature) at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ theta_DDD()

real_type G2lib::BiarcList::theta_DDD ( real_type s ) const

overridevirtual

Angle third derivative at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ theta_end()

real_type G2lib::BiarcList::theta_end ( ) const

inlineoverridevirtual

Final angle of the curve.

Reimplemented from G2lib::BaseCurve.

◆ translate()

void G2lib::BiarcList::translate	(	real_type	tx,
		real_type	ty )

overridevirtual

translate curve by \((t_x,t_y)\)

Implements G2lib::BaseCurve.

◆ trim()

void G2lib::BiarcList::trim	(	real_type	s_begin,
		real_type	s_end )

overridevirtual

Cut curve at parametric coordinate s_begin and s_end.

Implements G2lib::BaseCurve.

◆ tx()

real_type G2lib::BiarcList::tx ( real_type s ) const

overridevirtual

Tangent \(x\)-coordinate at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ tx_begin()

real_type G2lib::BiarcList::tx_begin ( ) const

inlineoverridevirtual

Initial tangent \(x\)-coordinate.

Reimplemented from G2lib::BaseCurve.

◆ tx_D()

real_type G2lib::BiarcList::tx_D ( real_type s ) const

overridevirtual

Tangent derivative \(x\)-coordinate at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ tx_DD()

real_type G2lib::BiarcList::tx_DD ( real_type s ) const

overridevirtual

Tangent second derivative \(x\)-coordinate at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ tx_DDD()

real_type G2lib::BiarcList::tx_DDD ( real_type s ) const

overridevirtual

Tangent third derivative \(x\)-coordinate at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ tx_end()

real_type G2lib::BiarcList::tx_end ( ) const

inlineoverridevirtual

Final tangent \(x\)-coordinate.

Reimplemented from G2lib::BaseCurve.

◆ ty()

real_type G2lib::BiarcList::ty ( real_type s ) const

overridevirtual

Tangent \(y\)-coordinate at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ ty_begin()

real_type G2lib::BiarcList::ty_begin ( ) const

inlineoverridevirtual

Initial tangent \(y\)-coordinate.

Reimplemented from G2lib::BaseCurve.

◆ ty_D()

real_type G2lib::BiarcList::ty_D ( real_type s ) const

overridevirtual

Tangent derivative \(y\)-coordinate at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ ty_DD()

real_type G2lib::BiarcList::ty_DD ( real_type s ) const

overridevirtual

Tangent second derivative \(y\)-coordinate at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ ty_DDD()

real_type G2lib::BiarcList::ty_DDD ( real_type s ) const

overridevirtual

Tangent third derivative \(y\)-coordinate at curvilinear coordinate \(s\).

Reimplemented from G2lib::BaseCurve.

◆ ty_end()

real_type G2lib::BiarcList::ty_end ( ) const

inlineoverridevirtual

Final tangent \(y\)-coordinate.

Reimplemented from G2lib::BaseCurve.

◆ type()

CurveType G2lib::BiarcList::type ( ) const

inlineoverridevirtual

The name of the curve type

Implements G2lib::BaseCurve.

◆ X()

real_type G2lib::BiarcList::X ( real_type s ) const

overridevirtual

\(x\)-coordinate at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ x_begin()

real_type G2lib::BiarcList::x_begin ( ) const

inlineoverridevirtual

Initial \(x\)-coordinate.

Reimplemented from G2lib::BaseCurve.

◆ x_begin_ISO()

real_type G2lib::BiarcList::x_begin_ISO ( real_type offs ) const

inlineoverridevirtual

Initial \(x\)-coordinate with offset (ISO standard).

Reimplemented from G2lib::BaseCurve.

◆ x_begin_SAE()

real_type G2lib::BaseCurve::x_begin_SAE ( real_type offs ) const

inline

Initial \(x\)-coordinate with offset (SAE standard).

◆ X_D()

real_type G2lib::BiarcList::X_D ( real_type s ) const

overridevirtual

\(x\)-coordinate derivative at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ X_DD()

real_type G2lib::BiarcList::X_DD ( real_type s ) const

overridevirtual

\(x\)-coordinate second derivative at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ X_DDD()

real_type G2lib::BiarcList::X_DDD ( real_type s ) const

overridevirtual

\(x\)-coordinate third derivative at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ x_end()

real_type G2lib::BiarcList::x_end ( ) const

inlineoverridevirtual

Final \(x\)-coordinate.

Reimplemented from G2lib::BaseCurve.

◆ x_end_ISO()

real_type G2lib::BiarcList::x_end_ISO ( real_type offs ) const

inlineoverridevirtual

Final \(x\)-coordinate with offset (ISO standard).

Reimplemented from G2lib::BaseCurve.

◆ x_end_SAE()

real_type G2lib::BaseCurve::x_end_SAE ( real_type offs ) const

inline

Final \(y\)-coordinate with offset (SAE standard).

◆ X_ISO()

real_type G2lib::BiarcList::X_ISO	(	real_type	s,
		real_type	offs ) const

overridevirtual

\(x\)-coordinate at curvilinear coordinate \(s\) with offset offs (ISO).

Reimplemented from G2lib::BaseCurve.

◆ X_ISO_D()

real_type G2lib::BiarcList::X_ISO_D	(	real_type	s,
		real_type	offs ) const

overridevirtual

\(x\)-coordinate derivative at curvilinear coordinate \(s\) with offset offs (ISO).

Reimplemented from G2lib::BaseCurve.

◆ X_ISO_DD()

real_type G2lib::BiarcList::X_ISO_DD	(	real_type	s,
		real_type	offs ) const

overridevirtual

\(x\)-coordinate second derivative at curvilinear coordinate \(s\) with offset offs (ISO).

Reimplemented from G2lib::BaseCurve.

◆ X_ISO_DDD()

real_type G2lib::BiarcList::X_ISO_DDD	(	real_type	s,
		real_type	offs ) const

overridevirtual

\(x\)-coordinate third derivative at curvilinear coordinate \(s\) with offset offs (ISO).

Reimplemented from G2lib::BaseCurve.

◆ X_SAE()

real_type G2lib::BaseCurve::X_SAE	(	real_type	s,
		real_type	offs ) const

inline

\(x\)-coordinate at curvilinear coordinate \(s\) with offset offs (SAE).

◆ X_SAE_D()

real_type G2lib::BaseCurve::X_SAE_D	(	real_type	s,
		real_type	offs ) const

inline

\(x\)-coordinate derivative at curvilinear coordinate \(s\) with offset offs (SAE).

◆ X_SAE_DD()

real_type G2lib::BaseCurve::X_SAE_DD	(	real_type	s,
		real_type	offs ) const

inline

\(x\)-coordinate second derivative at curvilinear coordinate \(s\) with offset offs (SAE).

◆ X_SAE_DDD()

real_type G2lib::BaseCurve::X_SAE_DDD	(	real_type	s,
		real_type	offs ) const

inline

\(x\)-coordinate third derivative at curvilinear coordinate \(s\) with offset offs (SAE).

◆ Y()

real_type G2lib::BiarcList::Y ( real_type s ) const

overridevirtual

\(y\)-coordinate at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ y_begin()

real_type G2lib::BiarcList::y_begin ( ) const

inlineoverridevirtual

Initial \(y\)-coordinate.

Reimplemented from G2lib::BaseCurve.

◆ y_begin_ISO()

real_type G2lib::BiarcList::y_begin_ISO ( real_type offs ) const

inlineoverridevirtual

Initial \(y\)-coordinate with offset (ISO standard).

Reimplemented from G2lib::BaseCurve.

◆ y_begin_SAE()

real_type G2lib::BaseCurve::y_begin_SAE ( real_type offs ) const

inline

Initial \(y\)-coordinate with offset (SAE standard).

◆ Y_D()

real_type G2lib::BiarcList::Y_D ( real_type s ) const

overridevirtual

\(y\)-coordinate derivative at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ Y_DD()

real_type G2lib::BiarcList::Y_DD ( real_type s ) const

overridevirtual

\(y\)-coordinate second derivative at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ Y_DDD()

real_type G2lib::BiarcList::Y_DDD ( real_type s ) const

overridevirtual

\(y\)-coordinate third derivative at curvilinear coordinate \(s\).

Implements G2lib::BaseCurve.

◆ y_end()

real_type G2lib::BiarcList::y_end ( ) const

inlineoverridevirtual

Final \(y\)-coordinate.

Reimplemented from G2lib::BaseCurve.

◆ y_end_ISO()

real_type G2lib::BiarcList::y_end_ISO ( real_type offs ) const

inlineoverridevirtual

Final \(y\)-coordinate with offset (ISO standard).

Reimplemented from G2lib::BaseCurve.

◆ y_end_SAE()

real_type G2lib::BaseCurve::y_end_SAE ( real_type offs ) const

inline

Final \(y\)-coordinate with offset (ISO standard).

◆ Y_ISO()

real_type G2lib::BiarcList::Y_ISO	(	real_type	s,
		real_type	offs ) const

overridevirtual

\(y\)-coordinate at curvilinear coordinate \(s\) with offset offs (ISO).

Reimplemented from G2lib::BaseCurve.

◆ Y_ISO_D()

real_type G2lib::BiarcList::Y_ISO_D	(	real_type	s,
		real_type	offs ) const

overridevirtual

\(y\)-coordinate derivative at curvilinear coordinate \(s\) with offset offs (ISO).

Reimplemented from G2lib::BaseCurve.

◆ Y_ISO_DD()

real_type G2lib::BiarcList::Y_ISO_DD	(	real_type	s,
		real_type	offs ) const

overridevirtual

\(y\)-coordinate second derivative at curvilinear coordinate \(s\) with offset offs (ISO).

Reimplemented from G2lib::BaseCurve.

◆ Y_ISO_DDD()

real_type G2lib::BiarcList::Y_ISO_DDD	(	real_type	s,
		real_type	offs ) const

overridevirtual

\(y\)-coordinate third derivative at curvilinear coordinate \(s\) with offset offs (ISO).

Reimplemented from G2lib::BaseCurve.

◆ Y_SAE()

real_type G2lib::BaseCurve::Y_SAE	(	real_type	s,
		real_type	offs ) const

inline

\(y\)-coordinate at curvilinear coordinate \(s\) with offset offs (SAE).

◆ Y_SAE_D()

real_type G2lib::BaseCurve::Y_SAE_D	(	real_type	s,
		real_type	offs ) const

inline

\(y\)-coordinate derivative at curvilinear coordinate \(s\) with offset offs (SAE).

◆ Y_SAE_DD()

real_type G2lib::BaseCurve::Y_SAE_DD	(	real_type	s,
		real_type	offs ) const

inline

\(y\)-coordinate second derivative at curvilinear coordinate \(s\) with offset offs (SAE).

◆ Y_SAE_DDD()

real_type G2lib::BaseCurve::Y_SAE_DDD	(	real_type	s,
		real_type	offs ) const

inline

\(y\)-coordinate third derivative at curvilinear coordinate \(s\) with offset offs (SAE).

Friends And Related Symbol Documentation

◆ operator<<

ostream_type & operator<<	(	ostream_type &	stream,
		BiarcList const &	CL )

friend

Print on strem the BiarcList object

Parameters

stream	the output stream
CL	an instance of `BiarcList` object

Returns: the output stream

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

/Users/enrico/Ricerca/develop/PINS/pins-mechatronix/LibSources/submodules/Clothoids/src/Clothoids/BiarcList.hxx
/Users/enrico/Ricerca/develop/PINS/pins-mechatronix/LibSources/submodules/Clothoids/src/BiarcList.cc

BiarcList Class Reference

Public Member Functions

Friends

Detailed Description

Constructor & Destructor Documentation

◆ BiarcList() [1/7]

◆ BiarcList() [2/7]

◆ BiarcList() [3/7]

◆ BiarcList() [4/7]

◆ BiarcList() [5/7]

◆ BiarcList() [6/7]

◆ BiarcList() [7/7]

Member Function Documentation

◆ bb_triangles()

◆ bb_triangles_ISO()

◆ bb_triangles_SAE()

◆ bbox()

◆ bbox_ISO()

◆ build_G1() [1/2]

◆ build_G1() [2/2]

◆ change_origin()

◆ closest_point_ISO() [1/2]

◆ closest_point_ISO() [2/2]

◆ closest_point_SAE() [1/2]

◆ closest_point_SAE() [2/2]

◆ collision() [1/2]

◆ collision() [2/2]

◆ collision_ISO() [1/2]

◆ collision_ISO() [2/2]

◆ copy()

◆ distance_ISO()

◆ distance_SAE()

◆ eval()

◆ eval_D()

◆ eval_DD()

◆ eval_DDD()

◆ eval_ISO()

◆ eval_ISO_D()

◆ eval_ISO_DD()

◆ eval_ISO_DDD()

◆ eval_SAE()

◆ eval_SAE_D()

◆ eval_SAE_DD()

◆ eval_SAE_DDD()

◆ evaluate()

◆ evaluate_ISO()

◆ evaluate_SAE()

◆ find_at_s()

◆ findST1() [1/2]

◆ findST1() [2/2]

◆ get()

◆ get_at_s()

◆ get_STK()

◆ get_XY()

◆ info()

◆ init()

◆ intersect() [1/2]

◆ intersect() [2/2]

◆ intersect_ISO() [1/2]

◆ intersect_ISO() [2/2]

◆ length()

◆ length_ISO()

◆ num_segments()

◆ nx_begin_ISO()

◆ nx_begin_SAE()

◆ nx_end_ISO()

◆ nx_end_SAE()

◆ ny_begin_ISO()

◆ ny_begin_SAE()

◆ ny_end_ISO()

◆ ny_end_SAE()

◆ operator=()

◆ push_back() [1/4]

◆ push_back() [2/4]

◆ push_back() [3/4]

◆ push_back() [4/4]

◆ push_back_G1() [1/2]

◆ push_back_G1() [2/2]

◆ reserve()

◆ reverse()