The Vector Base class. More...

#include <Vector3D.h>

Public Types
typedef _Precision	num_type

typedef float_traits< num_type >	traits_type

Public Member Functions
Operator
_Precision &	operator[] (unsigned short usIndex)
	Returns a reference to a coordinate. usIndex must be in the range [0,2]. More...

const _Precision &	operator[] (unsigned short usIndex) const
	Returns a const reference to a coordinate. usIndex must be in the range [0,2]. More...

Vector3	operator+ (const Vector3< _Precision > &rcVct) const
	Vector addition. More...

Vector3	operator& (const Vector3< _Precision > &rcVct) const

Vector3	operator- (const Vector3< _Precision > &rcVct) const
	Vector subtraction. More...

Vector3	operator- (void) const
	Negative vector. More...

Vector3 &	operator+= (const Vector3< _Precision > &rcVct)
	Vector summation. More...

Vector3 &	operator-= (const Vector3< _Precision > &rcVct)
	Vector subtraction. More...

Vector3	operator* (_Precision fScale) const
	Vector scaling. More...

Vector3	operator/ (_Precision fDiv) const

Vector3 &	operator*= (_Precision fScale)

Vector3 &	operator/= (_Precision fDiv)

Vector3 &	operator= (const Vector3< _Precision > &rcVct)
	Assignment. More...

_Precision	operator* (const Vector3< _Precision > &rcVct) const
	Scalar product. More...

_Precision	Dot (const Vector3< _Precision > &rcVct) const
	Scalar product. More...

Vector3	operator% (const Vector3< _Precision > &rcVct) const
	Cross product. More...

Vector3	Cross (const Vector3< _Precision > &rcVct) const
	Cross product. More...

bool	operator!= (const Vector3< _Precision > &rcVct) const
	Comparing for inequality. More...

bool	operator== (const Vector3< _Precision > &rcVct) const
	Comparing for equality. More...

bool	IsOnLineSegment (const Vector3< _Precision > &startVct, const Vector3< _Precision > &endVct) const
	Check if Vector is on a line segment. More...

Modification
void	ScaleX (_Precision f)

void	ScaleY (_Precision f)

void	ScaleZ (_Precision f)

void	Scale (_Precision fX, _Precision fY, _Precision fZ)

void	MoveX (_Precision f)

void	MoveY (_Precision f)

void	MoveZ (_Precision f)

void	Move (_Precision fX, _Precision fY, _Precision fZ)

void	RotateX (_Precision f)

void	RotateY (_Precision f)

void	RotateZ (_Precision f)

void	Set (_Precision fX, _Precision fY, _Precision fZ)

Mathematics
_Precision	Length (void) const
	Length of the vector. More...

_Precision	Sqr (void) const
	Squared length of the vector. More...

Vector3 &	Normalize (void)
	Set length to 1. More...

_Precision	GetAngle (const Vector3 &rcVect) const
	Get angle between both vectors. The returned value lies in the interval [0,pi]. More...

void	TransformToCoordinateSystem (const Vector3 &rclBase, const Vector3 &rclDirX, const Vector3 &rclDirY)
	Transforms this point to the coordinate system defined by origin rclBase, vector vector rclDirX and vector vector rclDirY. More...

bool	IsEqual (const Vector3 &rclPnt, _Precision tol) const
	IsEqual. More...

Vector3 &	ProjectToPlane (const Vector3 &rclBase, const Vector3 &rclNorm)
	Projects this point onto the plane given by the base rclBase and the normal rclNorm. More...

void	ProjectToPlane (const Vector3 &rclBase, const Vector3 &rclNorm, Vector3 &rclProj) const
	Projects this point onto the plane given by the base rclBase and the normal rclNorm and stores the result in rclProj. More...

Vector3 &	ProjectToLine (const Vector3 &rclPoint, const Vector3 &rclLine)
	Projects this point onto the line given by the base rclPoint and the direction rclLine. More...

Vector3	Perpendicular (const Vector3 &rclBase, const Vector3 &rclDir) const
	Get the perpendicular of this point to the line defined by rclBase and rclDir. More...

_Precision	DistanceToPlane (const Vector3 &rclBase, const Vector3 &rclNorm) const
	Computes the distance to the given plane. More...

_Precision	DistanceToLine (const Vector3 &rclBase, const Vector3 &rclDirect) const
	Computes the distance from this point to the line given by rclBase and rclDirect. More...

Vector3	DistanceToLineSegment (const Vector3 &rclP1, const Vector3 &rclP2) const
	Computes the vector from this point to the point on the line segment with the shortest distance. More...

Static Public Member Functions
static num_type	epsilon ()

Public data members
_Precision	x
	x-coordinate More...

_Precision	y
	y-coordinate More...

_Precision	z
	z-coordinate More...

	Vector3 (_Precision fx=0.0, _Precision fy=0.0, _Precision fz=0.0)
	Construction. More...

	Vector3 (const Vector3< _Precision > &rcVct)
	Construction. More...

Detailed Description

template<class _Precision>
class Base::Vector3< _Precision >

The Vector Base class.

Member Typedef Documentation

◆ num_type

template<class _Precision >

typedef _Precision Base::Vector3< _Precision >::num_type

◆ traits_type

template<class _Precision >

typedef float_traits<num_type> Base::Vector3< _Precision >::traits_type

Constructor & Destructor Documentation

◆ Vector3() [1/2]

template<class _Precision >

Vector3::Vector3	(	_Precision	fx = `0.0`,
		_Precision	fy = `0.0`,
		_Precision	fz = `0.0`
	)

explicit

Construction.

◆ Vector3() [2/2]

template<class _Precision >

Vector3::Vector3 ( const Vector3< _Precision > & rcVct )

Construction.

Member Function Documentation

◆ Cross()

template<class _Precision >

Vector3< _Precision > Vector3::Cross ( const Vector3< _Precision > & rcVct ) const

Cross product.

Referenced by MeshCore::MeshGeomEdge::ClosestPointsToLine(), Sketcher::SketchObject::fillet(), MeshPart::MeshProjection::findIntersection(), TechDrawGui::DrawGuiUtil::get3DDirAndRot(), TechDrawGui::DrawGuiUtil::getProjDirFromFace(), TechDraw::DrawProjGroupItem::getRotateAngle(), TechDraw::getViewAxis(), MeshCore::MeshGeomEdge::IntersectWithLine(), Part::Geom2dConic::isReversed(), Part::Geom2dArcOfConic::isReversed(), TechDraw::legacyViewAxis1(), Base::Rotation::makeRotationByAxes(), and TechDraw::DrawViewSection::sectionLineEnds().

◆ DistanceToLine()

template<class _Precision >

_Precision Vector3::DistanceToLine	(	const Vector3< _Precision > &	rclBase,
		const Vector3< _Precision > &	rclDirect
	)		const

Computes the distance from this point to the line given by rclBase and rclDirect.

Referenced by MeshCoreFit::CylinderFit::ComputeApproximationsLine(), Base::VectorPy::distanceToLine(), MeshCoreFit::CylinderFit::GetDistanceToCylinder(), MeshCore::CylinderFit::GetDistanceToCylinder(), MeshCore::CylinderSurfaceFit::GetDistanceToSurface(), MeshCore::MeshGeomFacet::IsPointOf(), MeshCoreFit::CylinderFit::ProjectToCylinder(), MeshCore::CylinderFit::ProjectToCylinder(), MeshCoreFit::CylinderFit::SetApproximations(), and MeshCore::MeshTopoAlgorithm::SplitFacet().

◆ DistanceToLineSegment()

template<class _Precision >

Vector3< _Precision > Vector3::DistanceToLineSegment	(	const Vector3< _Precision > &	rclP1,
		const Vector3< _Precision > &	rclP2
	)		const

Computes the vector from this point to the point on the line segment with the shortest distance.

The line segment is defined by rclP1 and rclP2. Note: If the projection of this point is outside the segment then the shortest distance to rclP1 or rclP2 is computed.

Referenced by Base::VectorPy::distanceToLineSegment(), and CDxfWrite::writeLinearDimBlock().

◆ DistanceToPlane()

template<class _Precision >

_Precision Vector3::DistanceToPlane	(	const Vector3< _Precision > &	rclBase,
		const Vector3< _Precision > &	rclNorm
	)		const

Computes the distance to the given plane.

Depending on the side this point is located the distance can also be negative. The distance is positive if the point is at the same side the plane normal points to, negative otherwise.

Referenced by MeshCore::MeshProjection::bboxInsideRectangle(), Base::VectorPy::distanceToPlane(), Mesh::SegmentByMesh::execute(), MeshCore::PlaneSurfaceFit::GetDistanceToSurface(), MeshCore::MeshAlgorithm::GetFacetsFromPlane(), MeshCore::MeshGeomEdge::IntersectWithLine(), and MeshCore::MeshPoint::operator==().

◆ Dot()

template<class _Precision >

_Precision Vector3::Dot ( const Vector3< _Precision > & rcVct ) const

Scalar product.

Referenced by Sketcher::SketchObject::fillet(), MeshPart::MeshProjection::findIntersection(), MeshCore::MeshFixCaps::Fixup(), TechDraw::DrawProjGroupItem::getViewAxis(), MeshCore::MeshGeomEdge::IntersectWithPlane(), MeshCore::TriangulationVerifier::MustFlip(), MeshCore::TriangulationVerifierV2::MustFlip(), and MeshCore::CylinderSurfaceFit::TestTriangle().

◆ epsilon()

template<class _Precision >

static num_type Base::Vector3< _Precision >::epsilon ( )

static

Referenced by MeshCore::MeshAlgorithm::GetFacetsFromToolMesh(), and MeshCore::MeshAlgorithm::Surround().

◆ GetAngle()

template<class _Precision >

_Precision Vector3::GetAngle ( const Vector3< _Precision > & rcVect ) const

Get angle between both vectors. The returned value lies in the interval [0,pi].

Referenced by Base::Builder3D::addSingleArrow(), Base::InventorBuilder::addSingleArrow(), TechDraw::DrawUtil::closestBasis(), MeshCore::MeshGeomEdge::ClosestPointsToLine(), MeshCore::MeshGeomFacet::Enlarge(), TechDrawGui::QGIViewDimension::findIsoDir(), PartDesignGui::fixSketchSupport(), MeshCore::MeshGeomFacet::Foraminate(), Base::VectorPy::getAngle(), TechDraw::DrawViewDimension::getDimValue(), TechDraw::DrawProjGroupItem::getRotateAngle(), MeshCore::MeshGeomEdge::IntersectWithLine(), MeshCore::MeshGeomFacet::MaximumAngle(), MeshCore::MeshGeomFacet::MinimumAngle(), DrawSketchHandlerFillet::releaseButton(), MeshCore::MeshTopoAlgorithm::ShouldSwapEdge(), FemGui::ViewProviderFemConstraintFluidBoundary::updateData(), FemGui::ViewProviderFemConstraintForce::updateData(), and CDxfWrite::writeLinearDimBlock().

◆ IsEqual()

template<class _Precision >

bool Vector3::IsEqual	(	const Vector3< _Precision > &	rclPnt,
		_Precision	tol
	)		const

IsEqual.

Parameters

rclPnt
tol

Returns: true or false If the distance to point rclPnt is within the tolerance tol both points are considered equal.

Referenced by TechDraw::BSpline::asCircle(), TechDraw::DrawUtil::boxIntersect2d(), TechDrawGui::QGIViewDimension::findIsoExt(), TechDraw::getViewAxis(), TechDraw::legacyViewAxis1(), TechDrawGui::QGIFace::lineSetToFillItems(), and TechDraw::CenterLine::scaledGeometry().

◆ IsOnLineSegment()

template<class _Precision >

bool Vector3::IsOnLineSegment	(	const Vector3< _Precision > &	startVct,
		const Vector3< _Precision > &	endVct
	)		const

Check if Vector is on a line segment.

◆ Length()

template<class _Precision >

_Precision Vector3::Length ( void ) const

Length of the vector.

Referenced by CmdSketcherConstrainDistance::activated(), CmdSketcherConstrainAngle::activated(), Sketcher::SketchObject::addCopy(), CmdSketcherConstrainDistance::applyConstraint(), CmdSketcherConstrainAngle::applyConstraint(), TechDraw::CenterLine::calcEndPoints2Points(), TechDraw::DrawViewPart::checkXDirection(), Part::Extrusion::computeFinalParameters(), TechDraw::DrawViewDetail::detailExec(), Gui::LocationUi< Ui >::directionActivated(), Gui::LocationImpUi< Ui >::directionActivated(), Base::Vector3< float >::DistanceToPlane(), MeshCore::MeshEigensystem::Evaluate(), Mesh::SegmentByMesh::execute(), Sketcher::SketchObject::extend(), Sketcher::SketchObject::fillet(), MeshCore::QuadraticFit::GetCurvatureInfo(), MeshCore::SurfaceFit::GetCurvatureInfo(), TechDraw::DrawViewDimension::getDimValue(), MeshCoreFit::SphereFit::GetDistanceToSphere(), MeshCore::SphereFit::GetDistanceToSphere(), Reen::ParameterCorrection::GetGravityPoint(), Base::VectorPy::getLength(), Robot::Trajectory::getVelocity(), TechDraw::DrawProjGroupItem::getXDirection(), TechDraw::DrawViewSection::getXDirection(), TechDraw::DrawViewPart::getXDirection(), MeshCore::MeshAlgorithm::IsVertexVisible(), Base::Rotation::makeRotationByAxes(), Base::VectorPy::normalize(), MeshPart::MeshAlgos::offsetSpecial2(), Mesh::MeshObject::offsetSpecial2(), Fem::ConstraintForce::onChanged(), Fem::ConstraintGear::onChanged(), Fem::ConstraintFluidBoundary::onChanged(), Part::ParabolaPy::PyInit(), DrawSketchHandlerFillet::releaseButton(), SketcherGui::DrawSketchHandler::seekAutoConstraint(), Gui::LocationWidget::setDirection(), Gui::LocationUi< Ui >::setDirection(), Gui::LocationImpUi< Ui >::setDirection(), Base::VectorPy::setLength(), Part::GeomEllipse::setMajorAxisDir(), Part::GeomArcOfEllipse::setMajorAxisDir(), Part::GeomArcOfHyperbola::setMajorAxisDir(), Base::Rotation::setValue(), Part::GeomArcOfConic::setXAxisDir(), MeshCore::MeshTopoAlgorithm::SnapVertex(), MeshCore::MeshGeomFacet::SubSample(), PartDesign::Groove::updateAxis(), FemGui::ViewProviderFemConstraintGear::updateData(), FemGui::ViewProviderFemConstraintForce::updateData(), FemGui::ViewProviderFemConstraintFluidBoundary::updateData(), and FemGui::ViewProviderFemPostPlaneFunction::updateData().

◆ Move()

template<class _Precision >

void Vector3::Move	(	_Precision	fX,
		_Precision	fY,
		_Precision	fZ
	)

Referenced by MeshCoreFit::CylinderFit::ProjectToCylinder(), and MeshCore::CylinderFit::ProjectToCylinder().

◆ MoveX()

template<class _Precision >

void Vector3::MoveX ( _Precision f )

◆ MoveY()

template<class _Precision >

void Vector3::MoveY ( _Precision f )

◆ MoveZ()

template<class _Precision >

void Vector3::MoveZ ( _Precision f )

◆ Normalize()

template<class _Precision >

Vector3< _Precision > & Vector3::Normalize ( void )

Set length to 1.

Referenced by Base::Builder3D::addSingleArrow(), Base::InventorBuilder::addSingleArrow(), MeshCore::MeshTopoAlgorithm::AdjustEdgesToCurvatureDirection(), Sketcher::SketchAnalysis::analyseMissingPointOnPointCoincident(), MeshCore::MeshProjection::bboxInsideRectangle(), TechDraw::DrawUtil::boxIntersect2d(), TechDraw::CenterLine::calcEndPoints(), TechDraw::CenterLine::calcEndPoints2Lines(), TechDraw::CenterLine::calcEndPoints2Points(), Gui::ManualAlignment::computeAlignment(), Fem::ConstraintGear::ConstraintGear(), TechDrawGui::QGIFace::dashedPPath(), MeshCore::MeshGeomFacet::DistancePlaneToPoint(), SketcherGui::ViewProviderSketch::draw(), TechDrawGui::QGIViewPart::drawSectionLine(), MeshCore::MeshGeomFacet::Enlarge(), Sketcher::SketchObject::extend(), MeshCoreFit::CylinderFit::findBestSolDirection(), Part::findFilletCenter(), MeshCore::MeshFixCaps::Fixup(), MeshCore::MeshFixDeformedFacets::Fixup(), MeshCore::MeshKernel::GetFacetNormals(), MeshCore::MeshAlgorithm::GetFacetsFromPlane(), MeshCore::CylinderFit::GetInitialAxisFromNormals(), MeshCore::MeshRefPointToFacets::GetNormal(), MeshCore::MeshKernel::GetNormal(), MeshCore::MeshRefPointToPoints::GetNormal(), Mesh::MeshObject::getPointNormal(), Mesh::MeshObject::getPointNormals(), TechDraw::DrawProjGroupItem::getRotateAngle(), Base::Rotation::getValue(), TechDraw::getViewAxis(), MeshCore::MeshGeomFacet::IsDeformed(), TechDraw::legacyViewAxis1(), MeshPart::MeshAlgos::LoftOnCurve(), TechDrawGui::QGIArrow::makeFilledTriangle(), TechDrawGui::QGIArrow::makeForkArrow(), TechDrawGui::QGIArrow::makeHashMark(), TechDrawGui::QGIArrow::makeOpenArrow(), TechDrawGui::QGIArrow::makePyramid(), Base::Rotation::makeRotationByAxes(), MeshPart::CurveProjectorWithToolMesh::makeToolMesh(), Base::VectorPy::normalize(), MeshPart::MeshAlgos::offsetSpecial(), Mesh::MeshObject::offsetSpecial(), MeshPart::MeshAlgos::offsetSpecial2(), Mesh::MeshObject::offsetSpecial2(), MeshCore::MeshProjection::projectLineOnMesh(), Base::Matrix4D::rotLine(), TechDraw::DrawViewSection::sectionLineEnds(), SketcherGui::DrawSketchHandler::seekAutoConstraint(), MeshCoreFit::CylinderFit::SetApproximations(), Base::CoordinateSystem::setAxes(), TechDrawGui::QGISectionLine::setDirection(), Base::Rotation::setValue(), Base::CoordinateSystem::setXDirection(), Base::CoordinateSystem::setYDirection(), MeshCore::PlaneFitSmoothing::Smooth(), MeshCore::PlaneFitSmoothing::SmoothPoints(), MeshCore::MeshGeomFacet::SubSample(), Part::suggestFilletRadius(), Base::Matrix4D::toAxisAngle(), Base::Vector3< float >::TransformToCoordinateSystem(), DrawSketchHandlerLineSet::updateTransitionData(), CDxfWrite::writeAngularDimBlock(), CDxfWrite::writeDiametricDimBlock(), CDxfWrite::writeLinearDimBlock(), and CDxfWrite::writeRadialDimBlock().

◆ operator!=()

template<class _Precision >

bool Vector3::operator!= ( const Vector3< _Precision > & rcVct ) const

Comparing for inequality.

◆ operator%()

template<class _Precision >

Vector3< _Precision > Vector3::operator% ( const Vector3< _Precision > & rcVct ) const

Cross product.

◆ operator&()

template<class _Precision >

Vector3< _Precision > Vector3::operator& ( const Vector3< _Precision > & rcVct ) const

◆ operator*() [1/2]

template<class _Precision >

Vector3< _Precision > Vector3::operator* ( _Precision fScale ) const

Vector scaling.

◆ operator*() [2/2]

template<class _Precision >

_Precision Vector3::operator* ( const Vector3< _Precision > & rcVct ) const

Scalar product.

◆ operator*=()

template<class _Precision >

Vector3< _Precision > & Vector3::operator*= ( _Precision fScale )

◆ operator+()

template<class _Precision >

Vector3< _Precision > Vector3::operator+ ( const Vector3< _Precision > & rcVct ) const

Vector addition.

◆ operator+=()

template<class _Precision >

Vector3< _Precision > & Vector3::operator+= ( const Vector3< _Precision > & rcVct )

Vector summation.

◆ operator-() [1/2]

template<class _Precision >

Vector3< _Precision > Vector3::operator- ( const Vector3< _Precision > & rcVct ) const

Vector subtraction.

◆ operator-() [2/2]

template<class _Precision >

Vector3< _Precision > Vector3::operator- ( void ) const

Negative vector.

◆ operator-=()

template<class _Precision >

Vector3< _Precision > & Vector3::operator-= ( const Vector3< _Precision > & rcVct )

Vector subtraction.

◆ operator/()

template<class _Precision >

Vector3< _Precision > Vector3::operator/ ( _Precision fDiv ) const

◆ operator/=()

template<class _Precision >

Vector3< _Precision > & Vector3::operator/= ( _Precision fDiv )

◆ operator=()

template<class _Precision >

Vector3< _Precision > & Vector3::operator= ( const Vector3< _Precision > & rcVct )

Assignment.

◆ operator==()

template<class _Precision >

bool Vector3::operator== ( const Vector3< _Precision > & rcVct ) const

Comparing for equality.

◆ operator[]() [1/2]

template<class _Precision >

_Precision & Vector3::operator[] ( unsigned short usIndex )

Returns a reference to a coordinate. usIndex must be in the range [0,2].

◆ operator[]() [2/2]

template<class _Precision >

const _Precision & Vector3::operator[] ( unsigned short usIndex ) const

Returns a const reference to a coordinate. usIndex must be in the range [0,2].

◆ Perpendicular()

template<class _Precision >

Vector3< _Precision > Vector3::Perpendicular	(	const Vector3< _Precision > &	rclBase,
		const Vector3< _Precision > &	rclDir
	)		const

Get the perpendicular of this point to the line defined by rclBase and rclDir.

Note: Do not mix up this method with ProjectToLine.

Referenced by Sketcher::SketchObject::addSymmetric(), MeshCore::MeshFixCaps::Fixup(), and PartDesign::ProfileBased::getReversedAngle().

◆ ProjectToLine()

template<class _Precision >

Vector3< _Precision > & Vector3::ProjectToLine	(	const Vector3< _Precision > &	rclPoint,
		const Vector3< _Precision > &	rclLine
	)

Projects this point onto the line given by the base rclPoint and the direction rclLine.

Projects a point rclPoint onto the line defined by the origin and the direction rclLine. The result is a vector from rclPoint to the point on the line. The length of this vector is the distance from rclPoint to the line. Note: The resulting vector does not depend on the current vector.

Referenced by Part::createFilletGeometry(), SketcherGui::ViewProviderSketch::draw(), MeshCore::MeshEigensystem::Evaluate(), Sketcher::SketchObject::fillet(), Part::findFilletCenter(), MeshCore::MeshProjection::isPointInsideDistance(), SketcherGui::ViewProviderSketch::moveConstraint(), Base::VectorPy::projectToLine(), SketcherGui::DrawSketchHandler::seekAutoConstraint(), and Part::suggestFilletRadius().

◆ ProjectToPlane() [1/2]

template<class _Precision >

Vector3< _Precision > & Vector3::ProjectToPlane	(	const Vector3< _Precision > &	rclBase,
		const Vector3< _Precision > &	rclNorm
	)

Projects this point onto the plane given by the base rclBase and the normal rclNorm.

Referenced by Reen::ParameterCorrection::ProjectControlPointsOnPlane(), MeshCore::MeshGeomFacet::ProjectPointToPlane(), MeshCoreFit::CylinderFit::ProjectToCylinder(), MeshCore::CylinderFit::ProjectToCylinder(), Base::VectorPy::projectToPlane(), and PartGui::ViewProviderMirror::setEdit().

◆ ProjectToPlane() [2/2]

template<class _Precision >

void Vector3::ProjectToPlane	(	const Vector3< _Precision > &	rclBase,
		const Vector3< _Precision > &	rclNorm,
		Vector3< _Precision > &	rclProj
	)		const

Projects this point onto the plane given by the base rclBase and the normal rclNorm and stores the result in rclProj.

◆ RotateX()

template<class _Precision >

void Vector3::RotateX ( _Precision f )

◆ RotateY()

template<class _Precision >

void Vector3::RotateY ( _Precision f )

◆ RotateZ()

template<class _Precision >

void Vector3::RotateZ ( _Precision f )

Referenced by SketcherGui::ViewProviderSketch::draw(), and SketcherGui::ViewProviderSketch::moveConstraint().

◆ Scale()

template<class _Precision >

void Vector3::Scale	(	_Precision	fX,
		_Precision	fY,
		_Precision	fZ
	)

Referenced by Base::Builder3D::addSingleArrow(), Base::InventorBuilder::addSingleArrow(), MeshCore::MeshGeomFacet::Enlarge(), Sketcher::SketchObject::extend(), Base::VectorPy::multiply(), and Base::VectorPy::scale().

◆ ScaleX()

template<class _Precision >

void Vector3::ScaleX ( _Precision f )

◆ ScaleY()

template<class _Precision >

void Vector3::ScaleY ( _Precision f )

◆ ScaleZ()

template<class _Precision >

void Vector3::ScaleZ ( _Precision f )

◆ Set()

template<class _Precision >

void Vector3::Set	(	_Precision	fX,
		_Precision	fY,
		_Precision	fZ
	)

Referenced by StdCmdAlignment::activated(), Base::InventorBuilder::addBoundingBox(), MeshCore::MeshAlgorithm::CheckFacets(), MeshPart::Mesher::createMesh(), MeshCore::CylinderSurfaceFit::CylinderSurfaceFit(), MeshCore::MeshGeomFacet::DistanceToPoint(), Part::Revolution::fetchAxisLink(), Part::Extrusion::fetchAxisLink(), MeshCoreFit::CylinderFit::findBestSolDirection(), Mesh::MeshObject::getEigenSystem(), MeshCore::CylinderFit::GetInitialAxisFromNormals(), MeshCore::MeshGeomFacet::IntersectWithPlane(), Base::ViewProjMatrix::inverse(), Part::GeomCurve::normalAt(), MeshPart::MeshProjection::projectEdgeToEdge(), Base::VectorPy::PyInit(), MeshCore::MeshOutput::SaveOBJ(), MeshCore::MeshOutput::SaveOFF(), MeshCore::MeshOutput::SaveSMF(), MeshGui::ViewProviderMeshDegenerations::showDefects(), MeshCore::PlaneFitSmoothing::Smooth(), MeshCore::PlaneFitSmoothing::SmoothPoints(), MeshCore::SphereSurfaceFit::SphereSurfaceFit(), Fem::FemMesh::transformGeometry(), DrawSketchHandlerLineSet::updateTransitionData(), and Fem::FemMesh::writeABAQUS().

◆ Sqr()

template<class _Precision >

_Precision Vector3::Sqr ( void ) const

Squared length of the vector.

Referenced by MeshCore::MeshGeomFacet::AspectRatio(), MeshCore::MeshGeomFacet::DistancePlaneToPoint(), MeshCore::CylinderFit::GetInitialAxisFromNormals(), Base::Matrix4D::hasScale(), MeshCore::MeshGeomFacet::Roundness(), Base::CoordinateSystem::setAxes(), Part::GeomEllipse::setMajorAxisDir(), Part::GeomArcOfEllipse::setMajorAxisDir(), Part::GeomArcOfHyperbola::setMajorAxisDir(), Gui::LinkView::setTransform(), Part::GeomArcOfConic::setXAxisDir(), Base::CoordinateSystem::setXDirection(), and Base::CoordinateSystem::setYDirection().

◆ TransformToCoordinateSystem()

template<class _Precision >

void Vector3::TransformToCoordinateSystem	(	const Vector3< _Precision > &	rclBase,
		const Vector3< _Precision > &	rclDirX,
		const Vector3< _Precision > &	rclDirY
	)

Transforms this point to the coordinate system defined by origin rclBase, vector vector rclDirX and vector vector rclDirY.

Note: rclDirX must be perpendicular to rclDirY, i.e. rclDirX * rclDirY = 0..

Referenced by MeshCore::PlaneFit::Dimension(), SketcherGui::ViewProviderSketch::getCoordsOnSketchPlane(), MeshCore::PlaneFit::GetLocalPoints(), MeshCore::SurfaceFit::PolynomFit(), and MeshCore::AbstractPolygonTriangulator::PostProcessing().

Member Data Documentation

◆ x

template<class _Precision >

_Precision Base::Vector3< _Precision >::x

x-coordinate

Referenced by PartGui::DlgRevolution::accept(), ReenGui::FitBSplineSurfaceWidget::accept(), PartGui::TaskDlgAttacher::accept(), DrawSketchHandlerCopy::activated(), CmdSketcherConstrainLock::activated(), DrawSketchHandlerRectangularArray::activated(), CmdSketcherConstrainDistance::activated(), CmdSketcherConstrainDistanceX::activated(), CmdSketcherConstrainPerpendicular::activated(), CmdSketcherConstrainAngle::activated(), Mod.PartDesign.Scripts.FilletArc.Vector::add(), Sketcher::Sketch::addArc(), Sketcher::Sketch::addArcOfEllipse(), Sketcher::Sketch::addArcOfHyperbola(), Sketcher::Sketch::addArcOfParabola(), Base::InventorBuilder::addBoundingBox(), Sketcher::Sketch::addBSpline(), Sketcher::Sketch::addEllipse(), PartGui::FaceColors::Private::addFacesToSelection(), Mesh::MeshPy::addFacet(), MeshCore::MeshFastBuilder::AddFacet(), Points::PointsGrid::AddPoint(), MeshCore::MeshPointGrid::AddPoint(), Points::PointsPy::addPoints(), Gui::SelectionSingleton::addSelection(), Base::Builder3D::addSingleArrow(), Base::InventorBuilder::addSingleArrow(), Base::Builder3D::addSingleLine(), Base::InventorBuilder::addSingleLine(), Base::InventorBuilder::addSinglePlane(), Base::Builder3D::addSingleTriangle(), Base::InventorBuilder::addSingleTriangle(), Sketcher::SketchObject::addSymmetric(), Base::Builder3D::addTransformation(), Base::InventorBuilder::addTransformation(), MeshCore::MeshTopoAlgorithm::AdjustEdgesToCurvatureDirection(), TechDraw::DrawUtil::angleWithX(), TechDraw::Generic::apparentInter(), CmdSketcherConstrainLock::applyConstraint(), CmdSketcherConstrainDistance::applyConstraint(), CmdSketcherConstrainDistanceX::applyConstraint(), CmdSketcherConstrainPerpendicular::applyConstraint(), CmdSketcherConstrainAngle::applyConstraint(), FemGui::ViewProviderFemMesh::applyDisplacementToNodes(), Part::BSplineSurfacePy::approximate(), TechDraw::DrawProjGroupItem::autoPosition(), TechDrawGui::QGIViewBalloon::balloonLabelDragged(), TechDraw::DrawUtil::boxIntersect2d(), TechDraw::BSpline::BSpline(), Part::BSplineCurvePy::buildFromPoles(), Part::BSplineCurvePy::buildFromPolesMultsKnots(), Part::BSplineSurfacePy::buildFromPolesMultsKnots(), TechDraw::CenterLine::calcEndPoints(), TechDraw::CenterLine::calcEndPoints2Lines(), TechDraw::CenterLine::calcEndPoints2Points(), MeshGui::ViewProviderMeshTransformDemolding::calcNormalVector(), Attacher::AttachEngine3D::calculateAttachedPlacement(), Attacher::AttachEngineLine::calculateAttachedPlacement(), TechDraw::CenterLine::CenterLine(), MeshCore::MeshGeomFacet::CenterOfCircumCircle(), MeshCore::MeshGeomFacet::CenterOfInscribedCircle(), DraftGui.DraftToolBar::changeAngleValue(), DraftGui.DraftToolBar::changeXValue(), importSVG.svgHandler::characters(), MeshCore::MeshAlgorithm::CheckFacets(), Sketcher::SketchAnalysis::checkHorizontal(), MeshCore::MeshGrid::CheckPosition(), DraftGui.DraftToolBar::checkSpecialChars(), Sketcher::SketchAnalysis::checkVertical(), PathScripts.PathInspect.GCodeEditorDialog::cleanup(), TechDrawGui::TaskRichAnno::commonFeatureUpdate(), Part::Extrusion::computeFinalParameters(), MeshCore::MeshCurvature::ComputePerVertex(), TechDraw::CosmeticEdge::CosmeticEdge(), TechDrawGui::TaskRichAnno::createAnnoFeature(), Part::createFilletGeometry(), TechDrawGui::TaskLeaderLine::createLeaderFeature(), Import::ExportOCAF::createNode(), Mod.PartDesign.Scripts.FilletArc.Vector::cross(), cSimTool::cSimTool(), TechDrawGui::QGIFace::dashedPPath(), FemGui::TaskCreateNodeSet::DefineNodes(), MeshCore::MeshInfo::DetailedEdgeInfo(), TechDraw::DrawViewDetail::detailExec(), SketcherGui::ViewProviderSketch::detectPreselectionConstr(), Base::CoordinateSystem::displacement(), TechDraw::DrawViewDimension::dist2Segs(), MeshCore::MeshGeomFacet::DistanceToLineSegment(), MeshCore::MeshGeomFacet::DistanceToPoint(), SketcherGui::ViewProviderSketch::doBoxSelection(), PathScripts.PostUtils.GCodeEditorDialog::done(), Mod.PartDesign.Scripts.FilletArc.Vector::dot(), SketcherGui::ViewProviderSketch::draw(), TechDrawGui::QGIViewBalloon::draw(), SketcherGui::ViewProviderSketch::drawConstraintIcons(), TechDrawGui::QGIViewPart::drawSectionLine(), TechDraw::GeometryUtils::edgeFromGeneric(), Drawing::ProjectionAlgos::execute(), PartDesign::Hole::execute(), Part::Mirroring::execute(), PartDesign::Pocket::execute(), PartDesign::Pad::execute(), TechDraw::DrawViewDimension::execute(), Import::ImpExpDxfWrite::exportAngularDim(), Import::ImpExpDxfWrite::exportDiametricDim(), Import::ImpExpDxfWrite::exportLinearDim(), Import::ImpExpDxfWrite::exportRadialDim(), Import::ImpExpDxfWrite::exportText(), Sketcher::SketchObject::exposeInternalGeometry(), Mesh::Facet::Facet(), Fem::FemPostDataAlongLineFilter::FemPostDataAlongLineFilter(), Sketcher::SketchObject::fillet(), Part::find2DLinesIntersection(), TechDraw::LineSet::findAtomStart(), MeshCoreFit::CylinderFit::findBestSolDirection(), Part::findFilletCenter(), MeshCore::CylinderFit::Fit(), PartDesignGui::fixSketchSupport(), VisualPathSegmentVisitor::g38(), Part::GeomLine::GeomLine(), TechDrawGui::QGIViewPart::geomToPainterPath(), TechDrawGui::TaskDetail::getAnchorScene(), PartDesign::ProfileBased::getAxis(), Fem::Constraint::getBasePoint(), Part::BSplineCurvePy::getCardinalSplineTangents(), SketcherGui::ViewProviderSketch::getCoordsOnSketchPlane(), TechDraw::DrawViewSection::getCSFromBase(), TechDrawGui::QGEPath::getDeltasFromLeader(), TechDraw::DrawViewDimension::getDimValue(), MeshCoreFit::CylinderFit::GetDistanceToCylinder(), MeshCoreFit::SphereFit::GetDistanceToSphere(), Mesh::MeshObject::getEigenSystem(), MeshCore::MeshKernel::GetGravityPoint(), MeshCore::CylinderFit::GetInitialAxisFromNormals(), TechDrawGui::QGIWeldSymbol::getKinkPoint(), MeshCore::PlaneFit::GetLocalPoints(), Part::Feature::getLocation(), Part::FeatureReference::getLocation(), MeshGui::PlaneFitParameter::getParameter(), MeshGui::CylinderFitParameter::getParameter(), TechDraw::LineSet::getPatternStartPoint(), Mesh::MeshObject::getPoint(), Mesh::MeshObject::getPointNormal(), Mesh::MeshObject::getPointNormals(), Mesh::MeshObject::getPoints(), TechDraw::DrawViewPart::getProjectionCS(), Base::Rotation::getRawValue(), PartDesignGui::ViewProviderDatum::getRelevantBoundBox(), TechDraw::DrawViewSection::getSectionCS(), TechDrawGui::QGIWeldSymbol::getTailPoint(), TechDrawGui::QGIWeldSymbol::getTileOrigin(), PartDesign::Mirrored::getTransformations(), PartDesign::LinearPattern::getTransformations(), PartDesign::PolarPattern::getTransformations(), MeshCore::AbstractPolygonTriangulator::GetTransformToFitPlane(), Gui::LocationWidget::getUserDirection(), Gui::LocationDialog::getUserDirection(), Base::Rotation::getValue(), TechDraw::getViewAxis(), TechDraw::DrawProjGroupItem::getViewAxis(), Fem::FemMesh::getVolume(), MeshCore::MeshKernel::GetVolume(), Base::VectorPy::getx(), Base::Matrix4D::Hat(), Part::BSplineCurvePy::interpolate(), Part::BSplineSurfacePy::interpolate(), Mesh::FacetPy::intersect(), TechDraw::DrawUtil::Intersect2d(), MeshCore::MeshGeomEdge::IntersectBoundingBox(), MeshCore::MeshGeomFacet::IntersectBoundingBox(), TechDraw::AOC::intersectsArc(), TechDraw::BSpline::intersectsArc(), MeshCore::MeshGeomFacet::IntersectWithFacet(), MeshCore::MeshGeomFacet::IntersectWithPlane(), Gui::ViewVolumeProjection::inverse(), cSimTool::isInside(), Part::TopoShapePy::isInside(), TechDraw::DrawViewPart::isIso(), Sketcher::SketchObject::isPointOnCurve(), TechDraw::DrawWeldSymbol::isTailRightSide(), TechDraw::legacyViewAxis1(), Mod.PartDesign.Scripts.FilletArc.Vector::length(), Points::PointsAlgos::LoadAscii(), MeshCore::MeshInput::LoadInventor(), MeshCore::MeshInput::LoadPLY(), TechDraw::DrawGeomHatch::makeEdgeOverlay(), TechDrawGui::QGIArrow::makeFilledTriangle(), TechDrawGui::QGIArrow::makeForkArrow(), Part::TopoShapeShellPy::makeHalfSpace(), Part::TopoShapeFacePy::makeHalfSpace(), TechDrawGui::QGIArrow::makeHashMark(), TechDrawGui::QGIArrow::makeOpenArrow(), TechDrawGui::QGIArrow::makePyramid(), Base::Rotation::makeRotationByAxes(), TechDrawGui::QGISectionLine::makeSymbolsISO(), TechDrawGui::QGISectionLine::makeSymbolsTrad(), SketcherGui::makeTangentToArcOfEllipseviaNewPoint(), SketcherGui::makeTangentToArcOfHyperbolaviaNewPoint(), SketcherGui::makeTangentToArcOfParabolaviaNewPoint(), SketcherGui::makeTangentToEllipseviaNewPoint(), Part::GeometryPy::mirror(), Part::TopoShapePy::mirror(), TechDraw::mirrorShapeVec(), DrawSketchHandlerLineSet::mouseMove(), DrawSketchHandlerExtend::mouseMove(), Base::Matrix4D::move(), SketcherGui::ViewProviderSketch::moveConstraint(), Sketcher::Sketch::movePoint(), TechDraw::moveShape(), Mod.PartDesign.Scripts.FilletArc.Vector::mult(), Mod.PartDesign.Scripts.FilletArc.Vector::norm(), Gui::Dialog::Transform::on_applyButton_clicked(), PathGui::ViewProviderPath::onChanged(), Gui::ViewProviderOrigin::onChanged(), Fem::FemPostDataAlongLineFilter::onChanged(), PathGui::PathSelectionObserver::onSelectionChanged(), PathScripts.PathDressupHoldingTags.Tag::originAt(), DrawingGui::orthoview::orthoview(), Base::Matrix4D::Outer(), MeshCore::PlaneSurfaceFit::Parameters(), MeshCore::CylinderSurfaceFit::Parameters(), MeshGui::SoFCMeshPickNode::pick(), Attacher::AttachEngine::placementFactory(), DraftGui.DraftToolBar::pointUi(), MeshCore::SurfaceFit::PolynomFit(), Points::PointsGrid::Pos(), Inspection::MeshInspectGrid::Pos(), MeshCore::MeshFacetGrid::Pos(), MeshCore::MeshPointGrid::Pos(), Points::PointsGrid::Position(), MeshCore::MeshGrid::Position(), MeshCore::MeshFacetGrid::PosWithCheck(), Reen::ParameterCorrection::ProjectControlPointsOnPlane(), MeshPart::CurveProjectorShape::projectCurve(), MeshPart::CurveProjectorSimple::projectCurve(), MeshPart::MeshProjection::projectEdgeToEdge(), TechDraw::LandmarkDimension::projectPoint(), TechDraw::DrawViewPart::projectPoint(), MeshCoreFit::SphereFit::ProjectToSphere(), CDxfWrite::putArrow(), CDxfWrite::putText(), Part::ConePy::PyInit(), Part::SurfaceOfExtrusionPy::PyInit(), Part::OffsetCurvePy::PyInit(), Part::ParabolaPy::PyInit(), Part::SurfaceOfRevolutionPy::PyInit(), Part::TopoShapeVertexPy::PyInit(), Attacher::AttachEngine::readLinks(), SketcherGui::ViewProviderSketch::rebuildConstraintsVisual(), Sketcher::SketchObject::rebuildExternalGeometry(), Path::Toolpath::recalculate(), PathGui::ViewProviderPath::recomputeBoundingBox(), Part::TopoShapePy::reflectLines(), DrawSketchHandlerExtend::releaseButton(), Robot::Robot6AxisPy::representation(), Base::AxisPy::representation(), Base::PlacementPy::representation(), Base::VectorPy::representation(), TechDraw::CosmeticVertex::Restore(), Part::Box::Restore(), TechDraw::Circle::Restore(), TechDraw::CenterLine::Restore(), TechDraw::AOC::Restore(), TechDraw::Generic::Restore(), TechDraw::Vertex::Restore(), Part::TopoShapePy::revolve(), Part::GeometryPy::rotate(), TechDraw::DrawViewSection::rotateCSArbitrary(), Base::Vector3< float >::RotateY(), Base::Vector3< float >::RotateZ(), Base::Matrix4D::rotLine(), Robot::Robot6Axis::Save(), TechDraw::CosmeticVertex::Save(), Robot::Waypoint::Save(), TechDraw::Circle::Save(), TechDraw::CenterLine::Save(), TechDraw::AOC::Save(), TechDraw::Vertex::Save(), App::PropertyPlacement::Save(), Part::GeomLine::Save(), Part::GeomLineSegment::Save(), MeshCore::MeshOutput::SaveAsciiPLY(), MeshCore::MeshOutput::SaveAsciiSTL(), MeshCore::MeshOutput::SaveBinaryPLY(), MeshCore::MeshOutput::SaveBinarySTL(), MeshCore::MeshOutput::SaveIDTF(), MeshCore::MeshOutput::SaveMeshNode(), MeshCore::MeshOutput::SaveNastran(), MeshCore::MeshOutput::SaveOBJ(), MeshCore::MeshOutput::SaveOFF(), Import::ExportOCAF::saveShape(), MeshCore::MeshOutput::SaveSMF(), MeshCore::MeshOutput::SaveVRML(), MeshCore::MeshOutput::SaveX3D(), MeshCore::MeshOutput::SaveXML(), Base::Matrix4D::scale(), Part::TopoShapePy::scale(), TechDraw::CenterLine::scaledGeometry(), MeshCore::MeshAlgorithm::SearchFacetsFromPolyline(), MeshCore::MeshFacetGrid::SearchNearestFromPoint(), TechDraw::DrawViewSection::sectionExec(), SketcherGui::DrawSketchHandler::seekAutoConstraint(), SketcherGui::ViewProviderSketch::seekConstraintPosition(), Part::Part2DObject::seekTrimPoints(), Part::CylinderPy::setCenter(), Part::ToroidPy::setCenter(), Part::SpherePy::setCenter(), Part::ConePy::setCenter(), Part::GeomConic::setCenter(), Part::GeomArcOfConic::setCenter(), PartGui::ViewProviderCrossSections::setCoords(), MeshPartGui::ViewProviderCrossSections::setCoords(), PartGui::DlgExtrusion::setDir(), Gui::LocationWidget::setDirection(), Part::SurfaceOfRevolutionPy::setDirection(), Part::SurfaceOfExtrusionPy::setDirection(), PartGui::DlgRevolution::setDirection(), Gui::LocationUi< Ui >::setDirection(), Gui::LocationImpUi< Ui >::setDirection(), RobotGui::ViewProviderRobotObject::setDragger(), Path::Command::setFromPlacement(), Base::VectorPy::setLength(), Part::GeomLine::setLine(), Part::SurfaceOfRevolutionPy::setLocation(), Part::GeomConic::setLocation(), Part::GeomArcOfConic::setLocation(), Part::GeomEllipse::setMajorAxisDir(), Part::GeomArcOfEllipse::setMajorAxisDir(), Part::GeomArcOfHyperbola::setMajorAxisDir(), Part::OffsetCurvePy::setOffsetDirection(), TechDraw::DrawViewBalloon::setOrigin(), Part::TopoShape::setPlacement(), Part::BezierSurfacePy::setPole(), Part::BezierCurvePy::setPoles(), App::PropertyVector::setPyObject(), Gui::Dialog::Transform::setTransformStrategy(), TechDrawGui::TaskSectionView::setUiEdit(), TechDrawGui::TaskDetail::setUiFromFeat(), TechDrawGui::TaskSectionView::setUiPrimary(), PartDesign::Pipe::setupAlgorithm(), MeshCoreFit::SphereFit::setupObservation(), MeshCoreFit::CylinderFit::setupObservation(), Base::Rotation::setValue(), Gui::PropertyEditor::PropertyPlacementItem::setValue(), Gui::ManualAlignment::setViewingDirections(), Base::VectorPy::setx(), Part::GeomArcOfConic::setXAxisDir(), MeshGui::ViewProviderMeshOrientation::showDefects(), MeshGui::ViewProviderMeshNonManifolds::showDefects(), MeshGui::ViewProviderMeshNonManifoldPoints::showDefects(), MeshGui::ViewProviderMeshDuplicatedFaces::showDefects(), MeshGui::ViewProviderMeshDegenerations::showDefects(), MeshGui::ViewProviderMeshDuplicatedPoints::showDefects(), MeshGui::ViewProviderMeshIndices::showDefects(), MeshGui::ViewProviderMeshFolds::showDefects(), MeshGui::ViewProviderMeshNode::showOpenEdges(), Part::TopoShape::slice(), Part::TopoShape::slices(), MeshCore::PlaneFitSmoothing::Smooth(), MeshCore::PlaneFitSmoothing::SmoothPoints(), Mod.PartDesign.Scripts.FilletArc.Vector::sub(), Part::suggestFilletRadius(), FemGui::TaskPostDataAlongLine::TaskPostDataAlongLine(), DraftGui.DraftToolBar::taskUi(), Base::Matrix4D::toAxisAngle(), Gui::View3DInventorViewer::toggleClippingPlane(), Gui::PropertyEditor::PropertyPlacementItem::toolTip(), PartGui::Location::toPlacement(), TechDraw::DrawUtil::toR3(), TechDraw::CosmeticVertex::toString(), TechDraw::Circle::toString(), TechDraw::CenterLine::toString(), TechDraw::AOC::toString(), Gui::PropertyEditor::PropertyPlacementItem::toString(), Path::Command::transform(), MeshCore::SurfaceFit::Transform(), Sketcher::SketchObject::trim(), PartDesign::Groove::updateAxis(), PartDesign::Revolution::updateAxis(), RobotGui::ViewProviderRobotObject::updateData(), FemGui::ViewProviderFemConstraintGear::updateData(), FemGui::ViewProviderFemConstraintForce::updateData(), FemGui::ViewProviderFemConstraintFluidBoundary::updateData(), FemGui::ViewProviderFemConstraintPulley::updateData(), FemGui::ViewProviderFemConstraintTransform::updateData(), FemGui::ViewProviderFemPostPlaneFunction::updateData(), FemGui::ViewProviderFemPostSphereFunction::updateData(), DraftGui.DraftToolBar::updateSnapper(), Gui::ViewProviderDragger::updateTransform(), DrawSketchHandlerLineSet::updateTransitionData(), DraftGui.DraftToolBar::validatePoint(), Gui::PropertyEditor::PropertyPlacementItem::value(), MeshGui::ViewProviderMeshTransformDemolding::valueChangedCallback(), Path::PathSegmentWalker::walk(), automotive_design.right_angular_wedge::wr1(), Points::PlyWriter::write(), Points::PcdWriter::write(), CDxfWrite::writeAngularDimBlock(), CDxfWrite::writeDiametricDimBlock(), PartGui::DlgExtrusion::writeParametersToFeature(), CDxfWrite::writeRadialDimBlock(), and TechDraw::Vertex::~Vertex().

◆ y

template<class _Precision >

_Precision Base::Vector3< _Precision >::y

y-coordinate

◆ z

template<class _Precision >

_Precision Base::Vector3< _Precision >::z

z-coordinate

Referenced by PartGui::DlgRevolution::accept(), ReenGui::FitBSplineSurfaceWidget::accept(), PartGui::TaskDlgAttacher::accept(), CmdSketcherConstrainAngle::activated(), Mod.PartDesign.Scripts.FilletArc.Vector::add(), Base::InventorBuilder::addBoundingBox(), Mesh::MeshPy::addFacet(), MeshCore::MeshFastBuilder::AddFacet(), Points::PointsGrid::AddPoint(), MeshCore::MeshPointGrid::AddPoint(), Points::PointsPy::addPoints(), Gui::SelectionSingleton::addSelection(), Base::Builder3D::addSingleArrow(), Base::InventorBuilder::addSingleArrow(), Base::Builder3D::addSingleLine(), Base::InventorBuilder::addSingleLine(), Base::InventorBuilder::addSinglePlane(), Base::Builder3D::addSingleTriangle(), Base::InventorBuilder::addSingleTriangle(), Base::Builder3D::addTransformation(), Base::InventorBuilder::addTransformation(), MeshCore::MeshTopoAlgorithm::AdjustEdgesToCurvatureDirection(), CmdSketcherConstrainAngle::applyConstraint(), FemGui::ViewProviderFemMesh::applyDisplacementToNodes(), Part::BSplineSurfacePy::approximate(), automotive_design.revolved_area_solid::axis_line(), automotive_design.surface_of_revolution::axis_line(), automotive_design.revolved_face_solid::axis_line(), ifc4.ifcrevolvedareasolid::axisdirectioninxy(), ifc2x3.ifcsurfaceofrevolution::axisline(), ifc4.ifcsurfaceofrevolution::axisline(), ifc2x3.ifcrevolvedareasolid::axisline(), ifc4.ifcrevolvedareasolid::axisline(), PathScripts.PathDressupHoldingTags.Tag::bottom(), Part::BSplineCurvePy::buildFromPoles(), Part::BSplineCurvePy::buildFromPolesMultsKnots(), Part::BSplineSurfacePy::buildFromPolesMultsKnots(), TechDraw::CenterLine::calcEndPoints2Points(), MeshGui::ViewProviderMeshTransformDemolding::calcNormalVector(), Attacher::AttachEngine3D::calculateAttachedPlacement(), Attacher::AttachEngineLine::calculateAttachedPlacement(), TechDraw::CenterLine::CenterLine(), MeshCore::MeshGeomFacet::CenterOfCircumCircle(), MeshCore::MeshGeomFacet::CenterOfInscribedCircle(), DraftGui.DraftToolBar::changeAngleValue(), DraftGui.DraftToolBar::changeZValue(), MeshCore::MeshGrid::CheckPosition(), DraftGui.DraftToolBar::checkSpecialChars(), PathScripts.PathDressupTag.TagSolid::cloneAt(), Part::ParabolaPy::compute(), Part::Extrusion::computeFinalParameters(), MeshCore::MeshCurvature::ComputePerVertex(), TechDraw::CosmeticEdge::CosmeticEdge(), Import::ExportOCAF::createNode(), PathScripts.PathDressupHoldingTags.Tag::createSolidsAt(), Mod.PartDesign.Scripts.FilletArc.Vector::cross(), cSimTool::cSimTool(), MeshCore::MeshInfo::DetailedEdgeInfo(), TechDraw::DrawViewDetail::detailExec(), Base::CoordinateSystem::displacement(), MeshCore::MeshGeomFacet::DistanceToLineSegment(), MeshCore::MeshGeomFacet::DistanceToPoint(), Mod.PartDesign.Scripts.FilletArc.Vector::dot(), SketcherGui::ViewProviderSketch::drawConstraintIcons(), TechDraw::GeometryUtils::edgeFromGeneric(), Drawing::ProjectionAlgos::execute(), PartDesign::Hole::execute(), Part::Mirroring::execute(), PartDesign::Pocket::execute(), PartDesign::Pad::execute(), Import::ImpExpDxfWrite::exportAngularDim(), Import::ImpExpDxfWrite::exportDiametricDim(), Import::ImpExpDxfWrite::exportLinearDim(), Import::ImpExpDxfWrite::exportRadialDim(), Import::ImpExpDxfWrite::exportText(), Mesh::Facet::Facet(), Fem::FemPostDataAlongLineFilter::FemPostDataAlongLineFilter(), Sketcher::SketchObject::fillet(), MeshCoreFit::CylinderFit::findBestSolDirection(), MeshCore::CylinderFit::Fit(), PartDesignGui::fixSketchSupport(), VisualPathSegmentVisitor::g38(), Part::GeomLine::GeomLine(), PartDesign::ProfileBased::getAxis(), Fem::Constraint::getBasePoint(), Part::BSplineCurvePy::getCardinalSplineTangents(), TechDraw::DrawViewSection::getCSFromBase(), Path::Toolpath::getCycleTime(), MeshCoreFit::CylinderFit::GetDistanceToCylinder(), MeshCoreFit::SphereFit::GetDistanceToSphere(), Mesh::MeshObject::getEigenSystem(), MeshCore::MeshKernel::GetGravityPoint(), MeshCore::CylinderFit::GetInitialAxisFromNormals(), MeshCore::PlaneFit::GetLocalPoints(), Part::Feature::getLocation(), Part::FeatureReference::getLocation(), MeshGui::PlaneFitParameter::getParameter(), MeshGui::CylinderFitParameter::getParameter(), Mesh::MeshObject::getPoint(), Mesh::MeshObject::getPointNormal(), Mesh::MeshObject::getPointNormals(), Mesh::MeshObject::getPoints(), TechDraw::DrawViewPart::getProjectionCS(), Base::Rotation::getRawValue(), PartDesignGui::ViewProviderDatum::getRelevantBoundBox(), TechDraw::DrawViewSection::getSectionCS(), PartDesign::Mirrored::getTransformations(), PartDesign::LinearPattern::getTransformations(), PartDesign::PolarPattern::getTransformations(), MeshCore::AbstractPolygonTriangulator::GetTransformToFitPlane(), Gui::LocationWidget::getUserDirection(), Gui::LocationDialog::getUserDirection(), Base::Rotation::getValue(), TechDraw::getViewAxis(), TechDraw::DrawProjGroupItem::getViewAxis(), Fem::FemMesh::getVolume(), MeshCore::MeshKernel::GetVolume(), Base::VectorPy::getz(), Base::Matrix4D::Hat(), Part::BSplineCurvePy::interpolate(), Part::BSplineSurfacePy::interpolate(), Mesh::FacetPy::intersect(), MeshCore::MeshGeomEdge::IntersectBoundingBox(), MeshCore::MeshGeomFacet::IntersectBoundingBox(), TechDraw::AOC::intersectsArc(), TechDraw::BSpline::intersectsArc(), MeshCore::MeshGeomFacet::IntersectWithFacet(), MeshCore::MeshGeomFacet::IntersectWithPlane(), Gui::ViewVolumeProjection::inverse(), cSimTool::isInside(), Part::TopoShapePy::isInside(), TechDraw::DrawViewPart::isIso(), Part::Geom2dConic::isReversed(), Part::Geom2dArcOfConic::isReversed(), TechDraw::legacyViewAxis1(), Mod.PartDesign.Scripts.FilletArc.Vector::length(), Points::PointsAlgos::LoadAscii(), MeshCore::MeshInput::LoadInventor(), MeshCore::MeshInput::LoadPLY(), Part::TopoShapeShellPy::makeHalfSpace(), Part::TopoShapeFacePy::makeHalfSpace(), Base::Rotation::makeRotationByAxes(), Part::GeometryPy::mirror(), Part::TopoShapePy::mirror(), TechDraw::mirrorShapeVec(), Base::Matrix4D::move(), TechDraw::moveShape(), Mod.PartDesign.Scripts.FilletArc.Vector::mult(), Mod.PartDesign.Scripts.FilletArc.Vector::norm(), MeshPart::MeshAlgos::offsetSpecial(), Mesh::MeshObject::offsetSpecial(), Gui::Dialog::Transform::on_applyButton_clicked(), PathGui::ViewProviderPath::onChanged(), Gui::ViewProviderOrigin::onChanged(), Fem::FemPostDataAlongLineFilter::onChanged(), PathGui::PathSelectionObserver::onSelectionChanged(), DrawingGui::orthoview::orthoview(), Base::Matrix4D::Outer(), MeshCore::PlaneSurfaceFit::Parameters(), MeshCore::CylinderSurfaceFit::Parameters(), MeshGui::SoFCMeshPickNode::pick(), Attacher::AttachEngine::placementFactory(), DraftGui.DraftToolBar::pointUi(), MeshCore::SurfaceFit::PolynomFit(), Points::PointsGrid::Pos(), Inspection::MeshInspectGrid::Pos(), MeshCore::MeshFacetGrid::Pos(), MeshCore::MeshPointGrid::Pos(), Points::PointsGrid::Position(), MeshCore::MeshGrid::Position(), MeshCore::MeshFacetGrid::PosWithCheck(), Reen::ParameterCorrection::ProjectControlPointsOnPlane(), MeshPart::CurveProjectorShape::projectCurve(), MeshPart::CurveProjectorSimple::projectCurve(), MeshPart::MeshProjection::projectEdgeToEdge(), TechDraw::LandmarkDimension::projectPoint(), TechDraw::DrawViewPart::projectPoint(), MeshCoreFit::SphereFit::ProjectToSphere(), MeshCore::SphereFit::ProjectToSphere(), CDxfWrite::putArrow(), CDxfWrite::putText(), Part::TopoShapeVertexPy::PyInit(), Part::ConePy::PyInit(), Part::OffsetCurvePy::PyInit(), Part::ParabolaPy::PyInit(), Part::SurfaceOfExtrusionPy::PyInit(), Part::SurfaceOfRevolutionPy::PyInit(), Attacher::AttachEngine::readLinks(), SketcherGui::ViewProviderSketch::rebuildConstraintsVisual(), Sketcher::SketchObject::rebuildExternalGeometry(), Path::Toolpath::recalculate(), PathGui::ViewProviderPath::recomputeBoundingBox(), Part::TopoShapePy::reflectLines(), Robot::Robot6AxisPy::representation(), Base::AxisPy::representation(), Base::PlacementPy::representation(), Base::VectorPy::representation(), TechDraw::CosmeticVertex::Restore(), Part::Box::Restore(), TechDraw::Circle::Restore(), TechDraw::CenterLine::Restore(), TechDraw::AOC::Restore(), TechDraw::Vertex::Restore(), Part::TopoShapePy::revolve(), Part::GeometryPy::rotate(), TechDraw::DrawViewSection::rotateCSArbitrary(), Base::Vector3< float >::RotateX(), Base::Vector3< float >::RotateY(), Base::Matrix4D::rotLine(), Robot::Robot6Axis::Save(), TechDraw::CosmeticVertex::Save(), Robot::Waypoint::Save(), TechDraw::Circle::Save(), TechDraw::CenterLine::Save(), TechDraw::AOC::Save(), TechDraw::Vertex::Save(), App::PropertyPlacement::Save(), Part::GeomLine::Save(), Part::GeomLineSegment::Save(), MeshCore::MeshOutput::SaveAsciiPLY(), MeshCore::MeshOutput::SaveAsciiSTL(), MeshCore::MeshOutput::SaveBinaryPLY(), MeshCore::MeshOutput::SaveBinarySTL(), MeshCore::MeshOutput::SaveIDTF(), MeshCore::MeshOutput::SaveMeshNode(), MeshCore::MeshOutput::SaveNastran(), MeshCore::MeshOutput::SaveOBJ(), MeshCore::MeshOutput::SaveOFF(), Import::ExportOCAF::saveShape(), MeshCore::MeshOutput::SaveSMF(), MeshCore::MeshOutput::SaveVRML(), MeshCore::MeshOutput::SaveX3D(), MeshCore::MeshOutput::SaveXML(), Base::Matrix4D::scale(), Part::TopoShapePy::scale(), TechDraw::CenterLine::scaledGeometry(), MeshCore::MeshAlgorithm::SearchFacetsFromPolyline(), MeshCore::MeshFacetGrid::SearchNearestFromPoint(), TechDraw::DrawViewSection::sectionExec(), Part::CylinderPy::setCenter(), Part::ToroidPy::setCenter(), Part::SpherePy::setCenter(), Part::ConePy::setCenter(), Part::GeomConic::setCenter(), Part::GeomArcOfConic::setCenter(), PartGui::ViewProviderCrossSections::setCoords(), MeshPartGui::ViewProviderCrossSections::setCoords(), PartGui::DlgExtrusion::setDir(), Gui::LocationWidget::setDirection(), Part::SurfaceOfRevolutionPy::setDirection(), Part::SurfaceOfExtrusionPy::setDirection(), PartGui::DlgRevolution::setDirection(), Gui::LocationUi< Ui >::setDirection(), Gui::LocationImpUi< Ui >::setDirection(), RobotGui::ViewProviderRobotObject::setDragger(), Path::Command::setFromPlacement(), Base::VectorPy::setLength(), Part::GeomLine::setLine(), Part::SurfaceOfRevolutionPy::setLocation(), Part::GeomConic::setLocation(), Part::GeomArcOfConic::setLocation(), Part::GeomEllipse::setMajorAxisDir(), Part::GeomArcOfEllipse::setMajorAxisDir(), Part::GeomArcOfHyperbola::setMajorAxisDir(), Part::OffsetCurvePy::setOffsetDirection(), Part::TopoShape::setPlacement(), Part::BezierSurfacePy::setPole(), Part::BezierCurvePy::setPoles(), App::PropertyVector::setPyObject(), Gui::Dialog::Transform::setTransformStrategy(), TechDrawGui::TaskSectionView::setUiEdit(), TechDrawGui::TaskSectionView::setUiPrimary(), PartDesign::Pipe::setupAlgorithm(), MeshCoreFit::SphereFit::setupObservation(), MeshCoreFit::CylinderFit::setupObservation(), Base::Rotation::setValue(), Gui::PropertyEditor::PropertyPlacementItem::setValue(), Gui::ManualAlignment::setViewingDirections(), Part::GeomArcOfConic::setXAxisDir(), Base::VectorPy::setz(), MeshGui::ViewProviderMeshOrientation::showDefects(), MeshGui::ViewProviderMeshNonManifolds::showDefects(), MeshGui::ViewProviderMeshNonManifoldPoints::showDefects(), MeshGui::ViewProviderMeshDuplicatedFaces::showDefects(), MeshGui::ViewProviderMeshDegenerations::showDefects(), MeshGui::ViewProviderMeshDuplicatedPoints::showDefects(), MeshGui::ViewProviderMeshIndices::showDefects(), MeshGui::ViewProviderMeshFolds::showDefects(), MeshGui::ViewProviderMeshNode::showOpenEdges(), Part::TopoShape::slice(), Part::TopoShape::slices(), MeshCore::PlaneFitSmoothing::Smooth(), MeshCore::PlaneFitSmoothing::SmoothPoints(), importSH3D.SH3DHandler::startElement(), Mod.PartDesign.Scripts.FilletArc.Vector::sub(), FemGui::TaskPostDataAlongLine::TaskPostDataAlongLine(), DraftGui.DraftToolBar::taskUi(), Base::Matrix4D::toAxisAngle(), Gui::View3DInventorViewer::toggleClippingPlane(), Gui::PropertyEditor::PropertyPlacementItem::toolTip(), PathScripts.PathDressupHoldingTags.Tag::top(), PartGui::Location::toPlacement(), TechDraw::DrawUtil::toR3(), TechDraw::CosmeticVertex::toString(), TechDraw::Circle::toString(), TechDraw::CenterLine::toString(), TechDraw::AOC::toString(), Gui::PropertyEditor::PropertyPlacementItem::toString(), Path::Command::transform(), MeshCore::SurfaceFit::Transform(), PartDesign::Groove::updateAxis(), PartDesign::Revolution::updateAxis(), RobotGui::ViewProviderRobotObject::updateData(), FemGui::ViewProviderFemConstraintForce::updateData(), FemGui::ViewProviderFemConstraintPulley::updateData(), FemGui::ViewProviderFemConstraintGear::updateData(), FemGui::ViewProviderFemConstraintFluidBoundary::updateData(), FemGui::ViewProviderFemConstraintTransform::updateData(), FemGui::ViewProviderFemPostPlaneFunction::updateData(), FemGui::ViewProviderFemPostSphereFunction::updateData(), DraftGui.DraftToolBar::updateSnapper(), Gui::ViewProviderDragger::updateTransform(), DraftGui.DraftToolBar::validatePoint(), Gui::PropertyEditor::PropertyPlacementItem::value(), MeshGui::ViewProviderMeshTransformDemolding::valueChangedCallback(), Path::PathSegmentWalker::walk(), ifc2x3.ifcrevolvedareasolid::wr32(), Points::PlyWriter::write(), Points::PcdWriter::write(), CDxfWrite::writeAngularDimBlock(), CDxfWrite::writeDiametricDimBlock(), PartGui::DlgExtrusion::writeParametersToFeature(), and CDxfWrite::writeRadialDimBlock().

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

src/Base/Vector3D.h
src/Base/Vector3D.cpp

Public Types

Public Member Functions

Static Public Member Functions

Public data members

Detailed Description

template<class _Precision> class Base::Vector3< _Precision >

Member Typedef Documentation

◆ num_type

◆ traits_type

Constructor & Destructor Documentation

◆ Vector3() [1/2]

◆ Vector3() [2/2]

Member Function Documentation

◆ Cross()

◆ DistanceToLine()

◆ DistanceToLineSegment()

◆ DistanceToPlane()

◆ Dot()

◆ epsilon()

◆ GetAngle()

◆ IsEqual()

◆ IsOnLineSegment()

◆ Length()

◆ Move()

◆ MoveX()

◆ MoveY()

◆ MoveZ()

◆ Normalize()

◆ operator!=()

◆ operator%()

◆ operator&()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator=()

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ Perpendicular()

◆ ProjectToLine()

◆ ProjectToPlane() [1/2]

◆ ProjectToPlane() [2/2]

◆ RotateX()

◆ RotateY()

◆ RotateZ()

◆ Scale()

◆ ScaleX()

◆ ScaleY()

◆ ScaleZ()

◆ Set()

◆ Sqr()

◆ TransformToCoordinateSystem()

Member Data Documentation

◆ x

◆ y

◆ z

template<class _Precision>
class Base::Vector3< _Precision >