inherits from class Rep More...

Classes
class	AppCanvas

class	AppView

class	Controller

struct	LoaderState

class	BlenderFileLoader

class	BlenderStrokeRenderer

class	BufferedStyleModule

class	BlenderStyleModule

class	BBox

class	BezierCurveSegment

class	BezierCurve

class	FastGrid

struct	Point2Struct

class	FitCurveWrapper

struct	GeomCleanerHasher

class	GeomCleaner

class	IndexedVertex

class	Cell

class	GridVisitor

class	allOccludersGridVisitor

class	firstIntersectionGridVisitor

class	Grid

class	VirtualOccludersSet

struct	GridHasher

class	HashGrid

class	Noise

class	Intersection

class	Segment

struct	binary_rule

class	SweepLine

class	GaussianFilter

class	FrsImage

class	RGBImage

class	GrayImage

class	ImagePyramid

class	GaussianPyramid

class	DrawingStyle

class	FrsMaterial

class	IndexedFaceSet

class	LineRep

class	Node

class	NodeCamera

class	NodeOrthographicCamera

class	NodePerspectiveCamera

class	NodeDrawingStyle

class	NodeGroup

class	NodeLight

class	NodeShape

class	NodeTransform

class	NodeViewLayer

class	OrientedLineRep

class	Rep

class	SceneHash

class	ScenePrettyPrinter

class	SceneVisitor

class	TriangleRep

class	VertexRep

class	CalligraphicShader

class	SpatialNoiseShader

class	SmoothingShader

class	Smoother

class	Omitter

class	OmissionShader

struct	ltstr

class	Canvas

class	Chain

class	AdjacencyIterator

class	ChainingIterator

class	ChainSilhouetteIterator

class	ChainPredicateIterator

class	CurvePoint

class	Curve

struct	EdgeModifier

struct	TimestampModifier

class	Module

class	PredicateWrapper

class	Operators

class	UnaryPredicate0D

class	BinaryPredicate0D

class	UnaryPredicate1D

class	BinaryPredicate1D

class	PSStrokeRenderer

class	QInformationMap

class	StrokeSegment

class	StrokeAttribute

class	StrokeVertex

class	Stroke

class	StrokeLayer

class	TextureManager

class	StrokeRenderer

class	StrokeVertexRep

class	Strip

class	StrokeRep

class	StrokeShader

class	StrokeTesselator

class	StyleModule

class	TextStrokeRenderer

class	Nonconst_traits

class	Const_traits

class	InputIteratorTag_Traits

class	BidirectionalIteratorTag_Traits

class	IteratorBase

class	BaseObject

class	Exception

class	Id

class	Interpreter

class	Iterator

class	PointerSequence

class	ProgressBar

class	PseudoNoise

class	PythonInterpreter

class	RandGen

class	RenderMonitor

class	TimeStamp

class	Chronometer

class	ArbitraryGridDensityProvider

class	ArbitraryGridDensityProviderFactory

class	AutoPtr

class	AverageAreaGridDensityProvider

class	AverageAreaGridDensityProviderFactory

class	BoxGrid

class	CulledOccluderSource

class	FEdgeXDetector

class	UnaryFunction0D

class	UnaryFunction1D

class	UnaryFunction1D_void

class	GridDensityProvider

class	GridDensityProviderFactory

class	HeuristicGridDensityProviderFactory

class	Interface0D

class	Interface0DIteratorNested

class	Interface0DIterator

class	Interface1D

class	OccluderSource

class	Pow23GridDensityProvider

class	Pow23GridDensityProviderFactory

class	SVertex

class	FEdge

class	FEdgeSharp

class	FEdgeSmooth

class	SShape

class	SilhouetteGeomEngine

class	SphericalGrid

class	SteerableViewMap

struct	SVertexHasher

struct	epsilonEquals

class	OWXFaceLayer

class	OWXEdge

class	ViewEdgeXBuilder

class	ViewMap

class	ViewVertex

class	TVertex

class	NonTVertex

class	ViewEdge

class	ViewShape

struct	less_SVertex2D

struct	less_Intersection

struct	silhouette_binary_rule

class	ViewMapBuilder

class	ViewMapTesselator

class	ViewMapTesselator2D

class	ViewMapTesselator3D

class	CurvatureInfo

class	Face_Curvature_Info

class	vertexdata

class	oedgedata

class	edgedata

class	facedata

class	WVertex

class	WOEdge

class	WEdge

class	WFace

class	WShape

class	WingedEdge

class	WFillGrid

class	WingedEdgeBuilder

class	WSFillGrid

class	WXVertex

class	WXEdge

class	WXSmoothEdge

class	WXFaceLayer

class	WXFace

class	WXShape

class	WXEdgeBuilder

Typedefs
using	BezierCurve = Vector2 *

typedef struct Freestyle::Point2Struct	Point2

typedef Point2	Vector2

typedef vector< Polygon3r * >	OccludersSet

typedef double	real

typedef vector< ViewShape * >	occluder_container

typedef map< Vec3r, SVertex * >	SVertexMap

using	segment = Segment< FEdge *, Vec3r >

using	intersection = Intersection< segment >

typedef Nature::EdgeNature	WXNature

Enumerations
enum	IntegrationType { MEAN , MIN , MAX , FIRST , LAST }

Functions
static bool	testEdgeMark (Mesh me, FreestyleEdge fed, const MLoopTri *lt, int i)

template<class Point >
BBox< Point > &	operator+ (const BBox< Point > &b1, const BBox< Point > &b2)

static double *	Reparameterize (Vector2 d, int first, int last, double u, BezierCurve bezCurve)

static double	NewtonRaphsonRootFind (BezierCurve Q, Vector2 P, double u)

static Vector2	BezierII (int degree, Vector2 *V, double t)

static double	B0 (double u)

static double	B1 (double u)

static double	B2 (double u)

static double	B3 (double u)

static Vector2	ComputeLeftTangent (Vector2 *d, int end)

static double	ComputeMaxError (Vector2 d, int first, int last, BezierCurve bezCurve, double u, int *splitPoint)

static double *	ChordLengthParameterize (Vector2 *d, int first, int last)

static BezierCurve	GenerateBezier (Vector2 d, int first, int last, double uPrime, Vector2 tHat1, Vector2 tHat2)

static Vector2	V2AddII (Vector2 a, Vector2 b)

static Vector2	V2ScaleIII (Vector2 v, double s)

static Vector2	V2SubII (Vector2 a, Vector2 b)

static double	V2SquaredLength (Vector2 *a)

static double	V2Length (Vector2 *a)

static Vector2 *	V2Scale (Vector2 *v, double newlen)

static double	V2Dot (Vector2 a, Vector2 b)

static double	V2DistanceBetween2Points (Vector2 a, Vector2 b)

static Vector2 *	V2Add (Vector2 a, Vector2 b, Vector2 *c)

static Vector2 *	V2Normalize (Vector2 *v)

static Vector2 *	V2Negate (Vector2 *v)

static Vector2	ComputeRightTangent (Vector2 *d, int end)

static Vector2	ComputeCenterTangent (Vector2 *d, int center)

static bool	inBox (const Vec3r &inter, const Vec3r &box_min, const Vec3r &box_max)

static void	normalize2 (float v[2])

static void	normalize3 (float v[3])

static void	loadIdentity (double *matrix)

static real	edgeStopping (real x, real sigma)

static int	__recursiveSplit (Chain *_curve, UnaryFunction0D< double > &func, UnaryPredicate1D &pred, float sampling, Operators::I1DContainer &newChains, Operators::I1DContainer &splitted_chains)

static int	__recursiveSplit (Chain *_curve, UnaryFunction0D< double > &func, UnaryPredicate0D &pred0d, UnaryPredicate1D &pred, float sampling, Operators::I1DContainer &newChains, Operators::I1DContainer &splitted_chains)

static Stroke *	createStroke (Interface1D &inter)

int	applyShading (Stroke &stroke, vector< StrokeShader * > &shaders)

ostream &	operator<< (ostream &out, const StrokeAttribute &iStrokeAttribute)

ostream &	operator<< (ostream &out, const StrokeVertex &iStrokeVertex)

ostream &	operator<< (ostream &out, const Stroke &iStroke)

static bool	notValid (Vec2r p)

std::ostream &	operator<< (std::ostream &s, const Id &id)

static real	LanczosWindowed (real t)

static real	distance2D (const Vec3r &point, const real origin[2])

static bool	crossesProscenium (real proscenium[4], FEdge *fe)

static bool	insideProscenium (const real proscenium[4], const Vec3r &point)

template<class T >
T	integrate (UnaryFunction0D< T > &fun, Interface0DIterator it, Interface0DIterator it_end, IntegrationType integration_type=MEAN)

static bool	ViewEdgeComp (ViewVertex::directedViewEdge &dve1, ViewVertex::directedViewEdge &dve2)

template<typename G , typename I >
static void	findOccludee (FEdge fe, G &, I &occluders, real epsilon, WFace oaWFace, Vec3r &u, Vec3r &A, Vec3r &origin, Vec3r &edgeDir, vector< WVertex > &faceVertices)

template<typename G , typename I >
static void	findOccludee (FEdge fe, G &grid, real epsilon, ViewEdge , WFace **oaFace)

template<typename G , typename I >
static int	computeVisibility (ViewMap viewMap, FEdge fe, G &grid, real epsilon, ViewEdge , WFace oaWFace, set< ViewShape > *foundOccluders)

template<typename G , typename I >
static void	computeCumulativeVisibility (ViewMap ioViewMap, G &grid, real epsilon, RenderMonitor iRenderMonitor)

template<typename G , typename I >
static void	computeDetailedVisibility (ViewMap ioViewMap, G &grid, real epsilon, RenderMonitor iRenderMonitor)

template<typename G , typename I >
static void	computeFastVisibility (ViewMap *ioViewMap, G &grid, real epsilon)

template<typename G , typename I >
static void	computeVeryFastVisibility (ViewMap *ioViewMap, G &grid, real epsilon)

static real	distance2D (const Vec3r &point, const real origin[2])

static bool	crossesProscenium (real proscenium[4], FEdge *fe)

static bool	insideProscenium (const real proscenium[4], const Vec3r &point)

static bool	angle_obtuse (WVertex v, WFace f)

static bool	triangle_obtuse (WVertex UNUSED(v), WFace f)

static real	cotan (WVertex vo, WVertex v1, WVertex *v2)

static real	angle_from_cotan (WVertex vo, WVertex v1, WVertex *v2)

bool	gts_vertex_mean_curvature_normal (WVertex *v, Vec3r &Kh)

bool	gts_vertex_gaussian_curvature (WVertex v, real Kg)

void	gts_vertex_principal_curvatures (real Kh, real Kg, real K1, real K2)

static void	linsolve (real m11, real m12, real b1, real m21, real m22, real b2, real x1, real x2)

static void	eigenvector (real a, real b, real c, Vec3r e)

void	gts_vertex_principal_directions (WVertex *v, Vec3r Kh, real Kg, Vec3r &e1, Vec3r &e2)

Variables
Controller *	g_pController

static const int	MOD_ADLER = 65521

static const unsigned	NB_VALUE_NOISE = 512

static const real	M_EPSILON = 0.00000001

static unsigned	x [3]

static unsigned	a [3]

static unsigned	c = C

static const Global &	_global = G

static const unsigned	gProgressBarMaxSteps = 10

static const unsigned	gProgressBarMinSize = 2000

Detailed Description

inherits from class Rep

Typedef Documentation

◆ BezierCurve

using Freestyle::BezierCurve = typedef Vector2 *

Definition at line 33 of file FitCurve.cpp.

◆ intersection

using Freestyle::intersection = typedef Intersection<segment>

Definition at line 2303 of file ViewMapBuilder.cpp.

◆ occluder_container

typedef vector<ViewShape *> Freestyle::occluder_container

Definition at line 55 of file Silhouette.h.

◆ OccludersSet

typedef vector<Polygon3r *> Freestyle::OccludersSet

Definition at line 47 of file Grid.h.

◆ Point2

typedef struct Freestyle::Point2Struct Freestyle::Point2

◆ real

typedef double Freestyle::real

Definition at line 26 of file Precision.h.

◆ segment

using Freestyle::segment = typedef Segment<FEdge *, Vec3r>

Definition at line 2302 of file ViewMapBuilder.cpp.

◆ SVertexMap

typedef map<Vec3r, SVertex *> Freestyle::SVertexMap

Definition at line 80 of file ViewEdgeXBuilder.h.

◆ Vector2

typedef Point2 Freestyle::Vector2

Definition at line 66 of file FitCurve.h.

◆ WXNature

typedef Nature::EdgeNature Freestyle::WXNature

Definition at line 34 of file WXEdge.h.

Enumeration Type Documentation

◆ IntegrationType

enum Freestyle::IntegrationType

The different integration methods that can be invoked to integrate into a single value the set of values obtained from each 0D element of a 1D element.

Enumerator
MEAN	The value computed for the 1D element is the mean of the values obtained for the 0D elements.
MIN	The value computed for the 1D element is the minimum of the values obtained for the 0D elements.
MAX	The value computed for the 1D element is the maximum of the values obtained for the 0D elements.
FIRST	The value computed for the 1D element is the first of the values obtained for the 0D elements.
LAST	The value computed for the 1D element is the last of the values obtained for the 0D elements.

Definition at line 47 of file Interface1D.h.

Function Documentation

◆ __recursiveSplit() [1/2]

static int Freestyle::__recursiveSplit	(	Chain *	_curve,
		UnaryFunction0D< double > &	func,
		UnaryPredicate0D &	pred0d,
		UnaryPredicate1D &	pred,
		float	sampling,
		Operators::I1DContainer &	newChains,
		Operators::I1DContainer &	splitted_chains
	)

static

◆ __recursiveSplit() [2/2]

static int Freestyle::__recursiveSplit	(	Chain *	_curve,
		UnaryFunction0D< double > &	func,
		UnaryPredicate1D &	pred,
		float	sampling,
		Operators::I1DContainer &	newChains,
		Operators::I1DContainer &	splitted_chains
	)

static

◆ angle_from_cotan()

static real Freestyle::angle_from_cotan	(	WVertex *	vo,
		WVertex *	v1,
		WVertex *	v2
	)

static

Definition at line 90 of file Curvature.cpp.

References KDL::atan2(), fabs(), Freestyle::WVertex::GetVertex(), sqrt(), Freestyle::VecMat::Vec< T, N >::squareNorm(), v, v1, and v2.

Referenced by gts_vertex_gaussian_curvature().

◆ angle_obtuse()

static bool Freestyle::angle_obtuse	(	WVertex *	v,
		WFace *	f
	)

static

Definition at line 50 of file Curvature.cpp.

References e, Freestyle::WFace::getOppositeEdge(), and v.

Referenced by gts_vertex_principal_directions().

◆ applyShading()

int Freestyle::applyShading	(	Stroke &	stroke,
		vector< StrokeShader * > &	shaders
	)

inline

Definition at line 1263 of file Operators.cpp.

References shaders.

Referenced by Freestyle::Operators::create().

◆ B0()

static double Freestyle::B0 ( double u )

static

Definition at line 312 of file FitCurve.cpp.

Referenced by GenerateBezier(), and mul_m4_m4m4_uniq().

◆ B1()

static double Freestyle::B1 ( double u )

static

Definition at line 318 of file FitCurve.cpp.

Referenced by Freestyle::ViewEdgeXBuilder::BuildSmoothFEdge(), Freestyle::ViewMapBuilder::ComputeSweepLineIntersections(), GenerateBezier(), lineart_bounding_area_link_triangle(), mul_m4_m4m4_uniq(), operator*(), and btQuaternion::operator*=().

◆ B2()

static double Freestyle::B2 ( double u )

static

Definition at line 324 of file FitCurve.cpp.

Referenced by Freestyle::ViewEdgeXBuilder::BuildSmoothFEdge(), Freestyle::ViewMapBuilder::ComputeSweepLineIntersections(), GenerateBezier(), mul_m4_m4m4_uniq(), operator*(), and btQuaternion::operator*=().

◆ B3()

static double Freestyle::B3 ( double u )

static

Definition at line 330 of file FitCurve.cpp.

Referenced by GenerateBezier(), interp_m4_m4m4(), mul_m4_m4m4_uniq(), operator*(), btQuaternion::operator*=(), and blender::robust_pred::orient2dadapt().

◆ BezierII()

static Vector2 Freestyle::BezierII	(	int	degree,
		Vector2 *	V,
		double	t
	)

static

Definition at line 283 of file FitCurve.cpp.

References free(), t, and V.

Referenced by ComputeMaxError(), and NewtonRaphsonRootFind().

◆ ChordLengthParameterize()

static double * Freestyle::ChordLengthParameterize	(	Vector2 *	d,
		int	first,
		int	last
	)

static

Definition at line 388 of file FitCurve.cpp.

References V2DistanceBetween2Points().

Referenced by Freestyle::FitCurveWrapper::FitCubic().

◆ ComputeCenterTangent()

static Vector2 Freestyle::ComputeCenterTangent	(	Vector2 *	d,
		int	center
	)

static

Definition at line 364 of file FitCurve.cpp.

References center, M_EPSILON, V2Length(), V2Normalize(), and V2SubII().

Referenced by Freestyle::FitCurveWrapper::FitCubic().

◆ computeCumulativeVisibility()

template<typename G , typename I >

static void Freestyle::computeCumulativeVisibility	(	ViewMap *	ioViewMap,
		G &	grid,
		real	epsilon,
		RenderMonitor *	iRenderMonitor
	)

static

◆ computeDetailedVisibility()

template<typename G , typename I >

static void Freestyle::computeDetailedVisibility	(	ViewMap *	ioViewMap,
		G &	grid,
		real	epsilon,
		RenderMonitor *	iRenderMonitor
	)

static

◆ computeFastVisibility()

template<typename G , typename I >

static void Freestyle::computeFastVisibility	(	ViewMap *	ioViewMap,
		G &	grid,
		real	epsilon
	)

static

Definition at line 828 of file ViewMapBuilder.cpp.

References _global, Global::debug, blender::robust_pred::epsilon, G_DEBUG_FREESTYLE, Freestyle::FEdge::getId(), Freestyle::WFace::GetNormal(), Freestyle::WVertex::GetVertex(), Freestyle::WFace::GetVertex(), Freestyle::FEdge::isInImage(), Freestyle::FEdge::nextEdge(), Freestyle::WFace::numberOfEdges(), Freestyle::FEdge::setaFace(), Freestyle::Geometry::Polygon< Point >::userdata, Freestyle::ViewMap::ViewEdges(), and Freestyle::ViewMap::viewShape().

◆ ComputeLeftTangent()

static Vector2 Freestyle::ComputeLeftTangent	(	Vector2 *	d,
		int	end
	)

static

Definition at line 342 of file FitCurve.cpp.

References V2Normalize(), and V2SubII().

Referenced by Freestyle::FitCurveWrapper::FitCurve().

◆ ComputeMaxError()

static double Freestyle::ComputeMaxError	(	Vector2 *	d,
		int	first,
		int	last,
		BezierCurve	bezCurve,
		double *	u,
		int *	splitPoint
	)

static

Definition at line 416 of file FitCurve.cpp.

References BezierII(), P(), v, V2SquaredLength(), and V2SubII().

Referenced by Freestyle::FitCurveWrapper::FitCubic().

◆ ComputeRightTangent()

static Vector2 Freestyle::ComputeRightTangent	(	Vector2 *	d,
		int	end
	)

static

Definition at line 353 of file FitCurve.cpp.

References V2Normalize(), and V2SubII().

Referenced by Freestyle::FitCurveWrapper::FitCurve().

◆ computeVeryFastVisibility()

template<typename G , typename I >

static void Freestyle::computeVeryFastVisibility	(	ViewMap *	ioViewMap,
		G &	grid,
		real	epsilon
	)

static

◆ computeVisibility()

template<typename G , typename I >

static int Freestyle::computeVisibility	(	ViewMap *	viewMap,
		FEdge *	fe,
		G &	grid,
		real	epsilon,
		ViewEdge *	,
		WFace **	oaWFace,
		set< ViewShape * > *	foundOccluders
	)

static

Definition at line 218 of file ViewMapBuilder.cpp.

References _global, center, Freestyle::FEdge::center3d(), Freestyle::GeomUtils::COINCIDENT, Global::debug, blender::robust_pred::epsilon, fabs(), Freestyle::FEdgeSmooth::face(), G_DEBUG_FREESTYLE, Freestyle::WFace::getEdgeList(), Freestyle::WShape::GetId(), Freestyle::WFace::GetNormal(), Freestyle::Geometry::Polygon3r::getNormal(), Freestyle::WFace::GetVertex(), Freestyle::Geometry::Polygon< Point >::getVertices(), I, Freestyle::GeomUtils::intersectRayPlane(), Freestyle::FEdge::isSmooth(), Freestyle::VecMat::Vec< T, N >::norm(), Freestyle::VecMat::Vec< T, N >::normalize(), Freestyle::SVertex::point3D(), Freestyle::Geometry::Polygon3r::rayIntersect(), Freestyle::WFace::RetrieveVertexList(), Freestyle::WVertex::shape(), t, v, v1, Freestyle::FEdge::vertexA(), Freestyle::FEdge::vertexB(), Freestyle::ViewMap::viewShape(), and x.

◆ cotan()

static real Freestyle::cotan	(	WVertex *	vo,
		WVertex *	v1,
		WVertex *	v2
	)

static

Definition at line 71 of file Curvature.cpp.

References Freestyle::WVertex::GetVertex(), sqrt(), Freestyle::VecMat::Vec< T, N >::squareNorm(), v, v1, and v2.

Referenced by gts_vertex_mean_curvature_normal(), and gts_vertex_principal_directions().

◆ createStroke()

static Stroke* Freestyle::createStroke ( Interface1D & inter )

static

Definition at line 1084 of file Operators.cpp.

Referenced by Freestyle::Operators::create().

◆ crossesProscenium() [1/2]

static bool Freestyle::crossesProscenium	(	real	proscenium[4],
		FEdge *	fe
	)

inlinestatic

Definition at line 83 of file CulledOccluderSource.cpp.

References A, B, Freestyle::SVertex::getProjectedX(), Freestyle::SVertex::getProjectedY(), Freestyle::GeomUtils::intersect2dSeg2dArea(), max, min, Freestyle::FEdge::vertexA(), and Freestyle::FEdge::vertexB().

Referenced by Freestyle::CulledOccluderSource::cullViewEdges(), and Freestyle::ViewMapBuilder::CullViewEdges().

◆ crossesProscenium() [2/2]

static bool Freestyle::crossesProscenium	(	real	proscenium[4],
		FEdge *	fe
	)

inlinestatic

Definition at line 1076 of file ViewMapBuilder.cpp.

References A, B, Freestyle::SVertex::getProjectedX(), Freestyle::SVertex::getProjectedY(), Freestyle::GeomUtils::intersect2dSeg2dArea(), max, min, Freestyle::FEdge::vertexA(), and Freestyle::FEdge::vertexB().

◆ distance2D() [1/2]

static real Freestyle::distance2D	(	const Vec3r &	point,
		const real	origin[2]
	)

inlinestatic

Definition at line 78 of file CulledOccluderSource.cpp.

References KDL::hypot().

Referenced by Freestyle::CulledOccluderSource::cullViewEdges(), and Freestyle::ViewMapBuilder::CullViewEdges().

◆ distance2D() [2/2]

static real Freestyle::distance2D	(	const Vec3r &	point,
		const real	origin[2]
	)

inlinestatic

Definition at line 1071 of file ViewMapBuilder.cpp.

References KDL::hypot().

◆ edgeStopping()

static real Freestyle::edgeStopping	(	real	x,
		real	sigma
	)

static

Definition at line 250 of file AdvancedStrokeShaders.cpp.

References KDL::exp(), and x.

Referenced by Freestyle::Smoother::iteration().

◆ eigenvector()

static void Freestyle::eigenvector	(	real	a,
		real	b,
		real	c,
		Vec3r	e
	)

static

Definition at line 270 of file Curvature.cpp.

References a, c, e, and sqrt().

Referenced by gts_vertex_principal_directions().

◆ findOccludee() [1/2]

template<typename G , typename I >

static void Freestyle::findOccludee	(	FEdge *	fe,
		G &	,
		I &	occluders,
		real	epsilon,
		WFace **	oaWFace,
		Vec3r &	u,
		Vec3r &	A,
		Vec3r &	origin,
		Vec3r &	edgeDir,
		vector< WVertex * > &	faceVertices
	)

static

◆ findOccludee() [2/2]

template<typename G , typename I >

static void Freestyle::findOccludee	(	FEdge *	fe,
		G &	grid,
		real	epsilon,
		ViewEdge *	,
		WFace **	oaFace
	)

static

Definition at line 181 of file ViewMapBuilder.cpp.

References A, blender::robust_pred::epsilon, Freestyle::FEdgeSmooth::face(), I, Freestyle::FEdge::isSmooth(), Freestyle::VecMat::Vec< T, N >::normalize(), and Freestyle::WFace::RetrieveVertexList().

◆ GenerateBezier()

static BezierCurve Freestyle::GenerateBezier	(	Vector2 *	d,
		int	first,
		int	last,
		double *	uPrime,
		Vector2	tHat1,
		Vector2	tHat2
	)

static

Definition at line 123 of file FitCurve.cpp.

References A, B0(), B1(), B2(), B3(), C, V2Add(), V2AddII(), V2DistanceBetween2Points(), V2Dot(), V2Scale(), V2ScaleIII(), V2SubII(), and X.

Referenced by Freestyle::FitCurveWrapper::FitCubic().

◆ gts_vertex_gaussian_curvature()

bool Freestyle::gts_vertex_gaussian_curvature	(	WVertex *	v,
		real *	Kg
	)

gts_vertex_gaussian_curvature:

Parameters

v	a #WVertex.
s	a #GtsSurface.
Kg	the Discrete Gaussian Curvature approximation at v.

Computes the Discrete Gaussian Curvature approximation at v.

This approximation is from the paper: Discrete Differential-Geometry Operators for Triangulated 2-Manifolds Mark Meyer, Mathieu Desbrun, Peter Schroder, Alan H. Barr VisMath '02, Berlin (Germany) http://www-grail.usc.edu/pubs.html

Returns: true if the operator could be evaluated, false if the evaluation failed for some reason (@v is boundary or is the endpoint of a non-manifold edge.)

Definition at line 194 of file Curvature.cpp.

References angle_from_cotan(), blender::compositor::area(), e, M_PI, v, v1, and v2.

◆ gts_vertex_mean_curvature_normal()

bool Freestyle::gts_vertex_mean_curvature_normal	(	WVertex *	v,
		Vec3r &	Kh
	)

gts_vertex_mean_curvature_normal:

Parameters

v	a #WVertex.
s	a #GtsSurface.
Kh	the Mean Curvature Normal at v.

Computes the Discrete Mean Curvature Normal approximation at v. The mean curvature at v is half the magnitude of the vector Kh.

Note: the normal computed is not unit length, and may point either into or out of the surface, depending on the curvature at v. It is the responsibility of the caller of the function to use the mean curvature normal appropriately.

This approximation is from the paper: Discrete Differential-Geometry Operators for Triangulated 2-Manifolds Mark Meyer, Mathieu Desbrun, Peter Schroder, Alan H. Barr VisMath '02, Berlin (Germany) http://www-grail.usc.edu/pubs.html

Returns: true if the operator could be evaluated, false if the evaluation failed for some reason (@v is boundary or is the endpoint of a non-manifold edge.)

Definition at line 128 of file Curvature.cpp.

References blender::compositor::area(), cotan(), e, v, v1, and v2.

◆ gts_vertex_principal_curvatures()

void Freestyle::gts_vertex_principal_curvatures	(	real	Kh,
		real	Kg,
		real *	K1,
		real *	K2
	)

gts_vertex_principal_curvatures: @Kh: mean curvature. @Kg: Gaussian curvature. @K1: first principal curvature. @K2: second principal curvature.

Computes the principal curvatures at a point given the mean and Gaussian curvatures at that point.

The mean curvature can be computed as one-half the magnitude of the vector computed by gts_vertex_mean_curvature_normal().

The Gaussian curvature can be computed with gts_vertex_gaussian_curvature().

Definition at line 243 of file Curvature.cpp.

References sqrt().

Referenced by gts_vertex_principal_directions().

◆ gts_vertex_principal_directions()

void Freestyle::gts_vertex_principal_directions	(	WVertex *	v,
		Vec3r	Kh,
		real	Kg,
		Vec3r &	e1,
		Vec3r &	e2
	)

gts_vertex_principal_directions:

Parameters

v	a #WVertex.
s	a #GtsSurface.
Kh	mean curvature normal (a #Vec3r).
Kg	Gaussian curvature (a real).
e1	first principal curvature direction (direction of largest curvature).
e2	second principal curvature direction.

Computes the principal curvature directions at a point given Kh and Kg, the mean curvature normal and Gaussian curvatures at that point, computed with gts_vertex_mean_curvature_normal() and gts_vertex_gaussian_curvature(), respectively.

Note that this computation is very approximate and tends to be unstable. Smoothing of the surface or the principal directions may be necessary to achieve reasonable results.

Definition at line 297 of file Curvature.cpp.

References a, angle_obtuse(), c, cotan(), e, eigenvector(), fabs(), free(), Freestyle::WFace::getArea(), Freestyle::WOEdge::GetbVertex(), Freestyle::WFace::GetNextOEdge(), gts_vertex_principal_curvatures(), linsolve(), N, Freestyle::VecMat::Vec< T, N >::norm(), Freestyle::VecMat::Vec< T, N >::normalize(), Freestyle::VecMat::Vec< T, N >::squareNorm(), triangle_obtuse(), and v.

◆ inBox()

static bool Freestyle::inBox	(	const Vec3r &	inter,
		const Vec3r &	box_min,
		const Vec3r &	box_max
	)

static

Definition at line 38 of file Grid.cpp.

References Freestyle::VecMat::Vec3< T >::x(), Freestyle::VecMat::Vec3< T >::y(), and Freestyle::VecMat::Vec3< T >::z().

Referenced by Freestyle::firstIntersectionGridVisitor::examineOccluder().

◆ insideProscenium() [1/2]

static bool Freestyle::insideProscenium	(	const real	proscenium[4],
		const Vec3r &	point
	)

inlinestatic

Definition at line 93 of file CulledOccluderSource.cpp.

Referenced by Freestyle::CulledOccluderSource::cullViewEdges(), and Freestyle::ViewMapBuilder::CullViewEdges().

◆ insideProscenium() [2/2]

static bool Freestyle::insideProscenium	(	const real	proscenium[4],
		const Vec3r &	point
	)

inlinestatic

Definition at line 1086 of file ViewMapBuilder.cpp.

◆ integrate()

template<class T >

T Freestyle::integrate	(	UnaryFunction0D< T > &	fun,
		Interface0DIterator	it,
		Interface0DIterator	it_end,
		IntegrationType	integration_type = `MEAN`
	)

Returns a single value from a set of values evaluated at each 0D element of this 1D element.

Parameters

fun	The UnaryFunction0D used to compute a value at each Interface0D.
it	The Interface0DIterator used to iterate over the 0D elements of this 1D element. The integration will occur over the 0D elements starting from the one pointed by it.
it_end	The Interface0DIterator pointing the end of the 0D elements of the 1D element.
integration_type	The integration method used to compute a single value from a set of values.

Returns: the single value obtained for the 1D element.

Definition at line 72 of file Interface1D.h.

References FIRST, Freestyle::Interface0DIterator::isEnd(), LAST, MAX, MEAN, MIN, Freestyle::UnaryFunction0D< T >::result, size(), and T.

◆ LanczosWindowed()

static real Freestyle::LanczosWindowed ( real t )

static

Definition at line 61 of file PseudoNoise.cpp.

References fabs(), M_EPSILON, M_PI, KDL::sin(), and t.

Referenced by Freestyle::PseudoNoise::smoothNoise().

◆ linsolve()

static void Freestyle::linsolve	(	real	m11,
		real	m12,
		real	b1,
		real	m21,
		real	m22,
		real	b2,
		real *	x1,
		real *	x2
	)

static

Definition at line 260 of file Curvature.cpp.

References x2.

Referenced by gts_vertex_principal_directions().

◆ loadIdentity()

static void Freestyle::loadIdentity ( double * matrix )

static

Definition at line 29 of file NodeCamera.cpp.

Referenced by Freestyle::NodeCamera::NodeCamera(), Freestyle::NodeOrthographicCamera::NodeOrthographicCamera(), and Freestyle::NodePerspectiveCamera::NodePerspectiveCamera().

◆ NewtonRaphsonRootFind()

static double Freestyle::NewtonRaphsonRootFind	(	BezierCurve	Q,
		Vector2	P,
		double	u
	)

static

Definition at line 236 of file FitCurve.cpp.

References BezierII(), and P().

Referenced by Reparameterize().

◆ normalize2()

static void Freestyle::normalize2 ( float v[2] )

static

Definition at line 67 of file Noise.cpp.

References sqrt(), and v.

Referenced by Freestyle::Noise::Noise().

◆ normalize3()

static void Freestyle::normalize3 ( float v[3] )

static

Definition at line 76 of file Noise.cpp.

References sqrt(), and v.

Referenced by Freestyle::Noise::Noise().

◆ notValid()

static bool Freestyle::notValid ( Vec2r p )

static

Definition at line 103 of file StrokeRep.cpp.

References fabs(), and HUGE_COORD.

Referenced by Freestyle::Strip::cleanUpSingularities(), and Freestyle::Strip::createStrip().

◆ operator+()

template<class Point >

BBox<Point>& Freestyle::operator+	(	const BBox< Point > &	b1,
		const BBox< Point > &	b2
	)

Definition at line 144 of file BBox.h.

References Freestyle::BBox< Point >::getMax(), and Freestyle::BBox< Point >::getMin().

◆ operator<<() [1/4]

ostream & Freestyle::operator<<	(	ostream &	out,
		const Stroke &	iStroke
	)

Definition at line 53 of file StrokeIO.cpp.

References Freestyle::Stroke::getId(), Freestyle::Stroke::getLength2D(), Freestyle::Stroke::getMediumType(), v, Freestyle::Stroke::vertices_begin(), and Freestyle::Stroke::vertices_end().

◆ operator<<() [2/4]

ostream & Freestyle::operator<<	(	ostream &	out,
		const StrokeAttribute &	iStrokeAttribute
	)

Definition at line 28 of file StrokeIO.cpp.

References Freestyle::StrokeAttribute::getAlpha(), Freestyle::StrokeAttribute::getColorB(), Freestyle::StrokeAttribute::getColorG(), Freestyle::StrokeAttribute::getColorR(), Freestyle::StrokeAttribute::getThicknessL(), Freestyle::StrokeAttribute::getThicknessR(), and Freestyle::StrokeAttribute::isVisible().

◆ operator<<() [3/4]

ostream & Freestyle::operator<<	(	ostream &	out,
		const StrokeVertex &	iStrokeVertex
	)

Definition at line 40 of file StrokeIO.cpp.

References Freestyle::StrokeVertex::attribute(), Freestyle::StrokeVertex::curvilinearAbscissa(), Freestyle::CurvePoint::getId(), Freestyle::CurvePoint::getProjectedX(), Freestyle::CurvePoint::getProjectedY(), Freestyle::CurvePoint::getProjectedZ(), Freestyle::CurvePoint::getX(), Freestyle::CurvePoint::getY(), and Freestyle::CurvePoint::getZ().

◆ operator<<() [4/4]

std::ostream& Freestyle::operator<<	(	std::ostream &	s,
		const Id &	id
	)

inline

Definition at line 133 of file Id.h.

◆ Reparameterize()

static double * Freestyle::Reparameterize	(	Vector2 *	d,
		int	first,
		int	last,
		double *	u,
		BezierCurve	bezCurve
	)

static

Definition at line 216 of file FitCurve.cpp.

References NewtonRaphsonRootFind().

Referenced by Freestyle::FitCurveWrapper::FitCubic().

◆ testEdgeMark()

static bool Freestyle::testEdgeMark	(	Mesh *	me,
		FreestyleEdge *	fed,
		const MLoopTri *	lt,
		int	i
	)

static

Definition at line 387 of file BlenderFileLoader.cpp.

References MLoop::e, ELEM, FreestyleEdge::flag, FREESTYLE_EDGE_MARK, Mesh::medge, Mesh::mloop, MLoopTri::tri, MLoop::v, MEdge::v1, and MEdge::v2.

Referenced by Freestyle::BlenderFileLoader::insertShapeNode().

◆ triangle_obtuse()

static bool Freestyle::triangle_obtuse	(	WVertex *	UNUSEDv,
		WFace *	f
	)

static

Definition at line 62 of file Curvature.cpp.

References Freestyle::WFace::getEdgeList().

Referenced by gts_vertex_principal_directions().

◆ V2Add()

static Vector2* Freestyle::V2Add	(	Vector2 *	a,
		Vector2 *	b,
		Vector2 *	c
	)

static

Definition at line 90 of file FitCurve.cpp.

References c.

Referenced by Freestyle::FitCurveWrapper::FitCubic(), and GenerateBezier().

◆ V2AddII()

static Vector2 Freestyle::V2AddII	(	Vector2	a,
		Vector2	b
	)

static

Definition at line 439 of file FitCurve.cpp.

References a, and c.

Referenced by GenerateBezier().

◆ V2DistanceBetween2Points()

static double Freestyle::V2DistanceBetween2Points	(	Vector2 *	a,
		Vector2 *	b
	)

static

Definition at line 82 of file FitCurve.cpp.

References sqrt().

Referenced by ChordLengthParameterize(), Freestyle::FitCurveWrapper::FitCubic(), and GenerateBezier().

◆ V2Dot()

static double Freestyle::V2Dot	(	Vector2 *	a,
		Vector2 *	b
	)

static

Definition at line 76 of file FitCurve.cpp.

References a.

Referenced by GenerateBezier().

◆ V2Length()

static double Freestyle::V2Length ( Vector2 * a )

static

Definition at line 60 of file FitCurve.cpp.

References a, sqrt(), and V2SquaredLength().

Referenced by ComputeCenterTangent(), V2Normalize(), and V2Scale().

◆ V2Negate()

static Vector2* Freestyle::V2Negate ( Vector2 * v )

static

Definition at line 109 of file FitCurve.cpp.

References v.

Referenced by Freestyle::FitCurveWrapper::FitCubic().

◆ V2Normalize()

static Vector2* Freestyle::V2Normalize ( Vector2 * v )

static

Definition at line 98 of file FitCurve.cpp.

References len, v, and V2Length().

Referenced by ComputeCenterTangent(), ComputeLeftTangent(), and ComputeRightTangent().

◆ V2Scale()

static Vector2* Freestyle::V2Scale	(	Vector2 *	v,
		double	newlen
	)

static

Definition at line 65 of file FitCurve.cpp.

References len, v, and V2Length().

Referenced by Freestyle::FitCurveWrapper::FitCubic(), and GenerateBezier().

◆ V2ScaleIII()

static Vector2 Freestyle::V2ScaleIII	(	Vector2	v,
		double	s
	)

static

Definition at line 447 of file FitCurve.cpp.

References result, and v.

Referenced by GenerateBezier().

◆ V2SquaredLength()

static double Freestyle::V2SquaredLength ( Vector2 * a )

static

Definition at line 54 of file FitCurve.cpp.

References a.

Referenced by ComputeMaxError(), and V2Length().

◆ V2SubII()

static Vector2 Freestyle::V2SubII	(	Vector2	a,
		Vector2	b
	)

static

Definition at line 455 of file FitCurve.cpp.

References a, and c.

Referenced by ComputeCenterTangent(), ComputeLeftTangent(), ComputeMaxError(), ComputeRightTangent(), and GenerateBezier().

◆ ViewEdgeComp()

static bool Freestyle::ViewEdgeComp	(	ViewVertex::directedViewEdge &	dve1,
		ViewVertex::directedViewEdge &	dve2
	)

static

Definition at line 299 of file ViewMap.cpp.

References Freestyle::FEdge::orientation2d(), v1, v2, Freestyle::VecMat::Vec3< T >::x(), and Freestyle::VecMat::Vec3< T >::y().

Referenced by Freestyle::NonTVertex::AddIncomingViewEdge(), Freestyle::NonTVertex::AddOutgoingViewEdge(), Freestyle::TVertex::setBackEdgeA(), Freestyle::TVertex::setBackEdgeB(), Freestyle::TVertex::setFrontEdgeA(), and Freestyle::TVertex::setFrontEdgeB().

Variable Documentation

◆ _global

const Global& Freestyle::_global = G

static

Definition at line 46 of file ViewMapBuilder.cpp.

Referenced by Freestyle::ViewMapBuilder::BuildGrid(), computeCumulativeVisibility(), computeDetailedVisibility(), Freestyle::ViewMapBuilder::ComputeEdgesVisibility(), computeFastVisibility(), Freestyle::ViewMapBuilder::ComputeIntersections(), Freestyle::ViewMapBuilder::ComputeRayCastingVisibility(), Freestyle::ViewMapBuilder::ComputeSweepLineIntersections(), computeVeryFastVisibility(), computeVisibility(), Freestyle::ViewMapBuilder::CullViewEdges(), and findOccludee().

◆ a

unsigned Freestyle::a[3]

static

Initial value:

= {
    A0,
    A1,
    A2,
}

Definition at line 92 of file RandGen.cpp.

◆ c

unsigned Freestyle::c = C

static

Definition at line 97 of file RandGen.cpp.

◆ g_pController

Controller* Freestyle::g_pController

extern

◆ gProgressBarMaxSteps

const unsigned Freestyle::gProgressBarMaxSteps = 10

static

Definition at line 1548 of file ViewMapBuilder.cpp.

Referenced by Freestyle::ViewMapBuilder::ComputeFastRayCastingVisibility(), Freestyle::ViewMapBuilder::ComputeRayCastingVisibility(), Freestyle::ViewMapBuilder::ComputeSweepLineIntersections(), and Freestyle::ViewMapBuilder::ComputeVeryFastRayCastingVisibility().

◆ gProgressBarMinSize

const unsigned Freestyle::gProgressBarMinSize = 2000

static

Definition at line 1549 of file ViewMapBuilder.cpp.

Referenced by Freestyle::ViewMapBuilder::ComputeFastRayCastingVisibility(), Freestyle::ViewMapBuilder::ComputeRayCastingVisibility(), Freestyle::ViewMapBuilder::ComputeSweepLineIntersections(), and Freestyle::ViewMapBuilder::ComputeVeryFastRayCastingVisibility().

◆ M_EPSILON

const real Freestyle::M_EPSILON = 0.00000001

static

Definition at line 29 of file Precision.h.

Referenced by Freestyle::CurveInternal::__point_iterator< Traits >::begin(), ComputeCenterTangent(), Freestyle::Smoother::computeCurvature(), Freestyle::CurveInternal::__point_iterator< Traits >::decrement(), Freestyle::CurveInternal::CurvePointIterator::decrement(), Freestyle::CurveInternal::__point_iterator< Traits >::increment(), Freestyle::CurveInternal::CurvePointIterator::increment(), Freestyle::GeomUtils::intersect2dLine2dLine(), Freestyle::GeomUtils::intersect2dSeg2dSeg(), Freestyle::GeomUtils::intersect2dSegPoly(), Freestyle::CurveInternal::CurvePointIterator::isBegin(), LanczosWindowed(), Freestyle::Operators::recursiveSplit(), Freestyle::Operators::reset(), Freestyle::Operators::sequentialSplit(), Freestyle::StrokeShaders::BezierCurveShader::shade(), and Freestyle::Smoother::Smoother().

◆ MOD_ADLER

const int Freestyle::MOD_ADLER = 65521

static

Definition at line 66 of file SceneHash.cpp.

◆ NB_VALUE_NOISE

const unsigned Freestyle::NB_VALUE_NOISE = 512

static

Definition at line 88 of file AdvancedStrokeShaders.cpp.

Referenced by Freestyle::SpatialNoiseShader::shade(), and Freestyle::SpatialNoiseShader::SpatialNoiseShader().

◆ x

unsigned Freestyle::x[3]

static

Initial value:

= {
    X0,
    X1,
    X2,
}

Definition at line 87 of file RandGen.cpp.

Referenced by Freestyle::BoxGrid::assignCells(), Freestyle::SphericalGrid::assignCells(), Freestyle::GaussianPyramid::BuildPyramid(), Freestyle::Controller::ComputeSteerableViewMap(), computeVisibility(), ContextFunctions_read_complete_view_map_pixel(), ContextFunctions_read_directional_view_map_pixel(), ContextFunctions_read_map_pixel(), Freestyle::StrokeShaders::CurvePiece::CurvePiece(), Freestyle::Controller::displayDensityCurves(), Freestyle::RandGen::drand48(), edgeStopping(), Freestyle::BoxGrid::findCell(), Freestyle::SphericalGrid::findCell(), FrsNoise_turbulence_smooth(), Freestyle::RGBImage::getB(), Freestyle::ViewMap::getClosestFEdge(), Freestyle::ViewMap::getClosestViewEdge(), Freestyle::CurvePoint::getFEdge(), Freestyle::RGBImage::getG(), Freestyle::RGBImage::getR(), Freestyle::GaussianFilter::getSmoothedPixel(), Freestyle::Grid::insertOccluder(), Interface0D_projected_x_get(), Freestyle::PseudoNoise::linearNoise(), Freestyle::OGF::ogf_swap(), Freestyle::Predicates1D::WithinImageBoundaryUP1D::operator()(), Freestyle::less_Intersection::operator()(), Freestyle::less_SVertex2D::operator()(), Freestyle::RGBImage::pixel(), Freestyle::GrayImage::pixel(), Freestyle::AppView::rabs(), Freestyle::AppCanvas::readColorPixels(), Freestyle::SteerableViewMap::readCompleteViewMapPixel(), Freestyle::ContextFunctions::ReadCompleteViewMapPixelCF(), Freestyle::AppCanvas::readDepthPixels(), Freestyle::ContextFunctions::ReadDirectionalViewMapPixelCF(), Freestyle::ContextFunctions::ReadMapPixelCF(), Freestyle::SteerableViewMap::readSteerableViewMapPixel(), Freestyle::NodeTransform::Rotate(), Freestyle::SteerableViewMap::saveSteerableViewMap(), Freestyle::NodeTransform::Scale(), Freestyle::OGF::MatrixUtil::semi_definite_symmetric_eigen(), Freestyle::GrayImage::setArray(), Freestyle::RGBImage::setArray(), Freestyle::Stroke::setBeginningOrientation(), Freestyle::Stroke::setEndingOrientation(), Freestyle::RGBImage::setPixel(), Freestyle::GrayImage::setPixel(), Freestyle::StrokeShaders::BackboneStretcherShader::shade(), Freestyle::PseudoNoise::smoothNoise(), Freestyle::StrokeShaders::CurvePiece::subdivide(), Freestyle::NodeTransform::Translate(), Freestyle::PseudoNoise::turbulenceLinear(), Freestyle::PseudoNoise::turbulenceSmooth(), ViewMap_get_closest_fedge(), and ViewMap_get_closest_viewedge().

Namespaces
	Cast

	Config

	ContextFunctions

	CurveInternal

	FEdgeInternal

	Functions0D

	Functions1D

	Geometry

	GeomUtils

	GridHelpers

	Nature

	OGF

	Predicates0D

	Predicates1D

	StringUtils

	StrokeInternal

	StrokeShaders

	VecMat

	ViewEdgeInternal

	ViewMapIO

	ViewVertexInternal

Namespaces

Classes

Typedefs

Enumerations

Functions

Variables

Detailed Description

Typedef Documentation

◆ BezierCurve

◆ intersection

◆ occluder_container

◆ OccludersSet

◆ Point2

◆ real

◆ segment

◆ SVertexMap

◆ Vector2

◆ WXNature

Enumeration Type Documentation

◆ IntegrationType

Function Documentation

◆ __recursiveSplit() [1/2]

◆ __recursiveSplit() [2/2]

◆ angle_from_cotan()

◆ angle_obtuse()

◆ applyShading()

◆ B0()

◆ B1()

◆ B2()

◆ B3()

◆ BezierII()

◆ ChordLengthParameterize()

◆ ComputeCenterTangent()

◆ computeCumulativeVisibility()

◆ computeDetailedVisibility()

◆ computeFastVisibility()

◆ ComputeLeftTangent()

◆ ComputeMaxError()

◆ ComputeRightTangent()

◆ computeVeryFastVisibility()

◆ computeVisibility()

◆ cotan()

◆ createStroke()

◆ crossesProscenium() [1/2]

◆ crossesProscenium() [2/2]

◆ distance2D() [1/2]

◆ distance2D() [2/2]

◆ edgeStopping()

◆ eigenvector()

◆ findOccludee() [1/2]

◆ findOccludee() [2/2]

◆ GenerateBezier()

◆ gts_vertex_gaussian_curvature()

◆ gts_vertex_mean_curvature_normal()

◆ gts_vertex_principal_curvatures()

◆ gts_vertex_principal_directions()

◆ inBox()

◆ insideProscenium() [1/2]

◆ insideProscenium() [2/2]

◆ integrate()

◆ LanczosWindowed()

◆ linsolve()

◆ loadIdentity()

◆ NewtonRaphsonRootFind()

◆ normalize2()

◆ normalize3()

◆ notValid()

◆ operator+()

◆ operator<<() [1/4]

◆ operator<<() [2/4]

◆ operator<<() [3/4]

◆ operator<<() [4/4]

◆ Reparameterize()

◆ testEdgeMark()

◆ triangle_obtuse()

◆ V2Add()

◆ V2AddII()

◆ V2DistanceBetween2Points()

◆ V2Dot()

◆ V2Length()