BasicVector3D< T > Class Template Reference

Three-dimensional vector template, for use with integer, double, or complex components. More...

Public Member Functions
	BasicVector3D ()
	Constructs the null vector. More...
	BasicVector3D (const T x1, const T y1, const T z1)
	Constructs a vector from cartesian components. More...
double	angle (const BasicVector3D< T > &v) const
	Returns angle with respect to another vector. More...
BasicVector3D< complex_t >	complex () const
	Returns this, trivially converted to complex type. More...
BasicVector3D< T >	conj () const
	Returns complex conjugate vector. More...
double	cosTheta () const
	Returns cosine of polar angle. More...
template<class U >
auto	cross (const BasicVector3D< U > &v) const
	Returns cross product of vectors (linear in both arguments). More...
template<class U >
auto	dot (const BasicVector3D< U > &v) const
	Returns dot product of vectors (antilinear in the first [=self] argument). More...
double	mag () const
	Returns magnitude of the vector. More...
double	mag2 () const
	Returns magnitude squared of the vector. More...
double	magxy () const
	Returns distance from z axis. More...
double	magxy2 () const
	Returns squared distance from z axis. More...
template<class U >
auto	operator*= (U a)
	Multiplies this with a scalar, and returns result. More...
BasicVector3D< T > &	operator+= (const BasicVector3D< T > &v)
	Adds other vector to this, and returns result. More...
BasicVector3D< T > &	operator-= (const BasicVector3D< T > &v)
	Subtracts other vector from this, and returns result. More...
template<class U >
auto	operator/= (U a)
	Divides this by a scalar, and returns result. More...
T &	operator[] (int i)
	Sets components by index. More...
T	operator[] (int i) const
	Returns components by index. More...
double	phi () const
	Returns azimuth angle. More...
BasicVector3D< T >	project (const BasicVector3D< T > &v) const
	Returns projection of this onto other vector: (this*v)*v/|v|^2. More...
BasicVector3D< double >	real () const
	Returns real parts. More...
BasicVector3D< T >	rotated (double a, const BasicVector3D< T > &v) const
	Returns result of rotation around the axis specified by another vector. More...
BasicVector3D< T >	rotatedX (double a) const
	Returns result of rotation around x-axis. More...
BasicVector3D< T >	rotatedY (double a) const
	Returns result of rotation around y-axis. More...
BasicVector3D< T >	rotatedZ (double a) const
	Returns result of rotation around z-axis. More...
void	setX (const T &a)
	Sets x-component in cartesian coordinate system. More...
void	setY (const T &a)
	Sets y-component in cartesian coordinate system. More...
void	setZ (const T &a)
	Sets z-component in cartesian coordinate system. More...
double	sin2Theta () const
	Returns squared sine of polar angle. More...
double	theta () const
	Returns polar angle. More...
BasicVector3D< T >	unit () const
	Returns unit vector in direction of this. Throws for null vector. More...
T	x () const
	Returns x-component in cartesian coordinate system. More...
T	y () const
	Returns y-component in cartesian coordinate system. More...
T	z () const
	Returns z-component in cartesian coordinate system. More...

Private Attributes
T	v_ [3]

Related Functions
(Note that these are not member functions.)
template<class T >
bool	operator!= (const BasicVector3D< T > &a, const BasicVector3D< T > &b)
	Comparison of two vectors for inequality. More...
template<class T , class U >
auto	operator* (const BasicVector3D< T > &v, const U a)
	Multiplication vector by scalar. More...
template<class T , class U >
auto	operator* (const U a, const BasicVector3D< T > &v)
	Multiplication scalar by vector. More...
template<class T >
BasicVector3D< T >	operator+ (const BasicVector3D< T > &a, const BasicVector3D< T > &b)
	Addition of two vectors. More...
template<class T >
BasicVector3D< T >	operator+ (const BasicVector3D< T > &v)
	Unary plus. More...
template<class T >
BasicVector3D< T >	operator- (const BasicVector3D< T > &a, const BasicVector3D< T > &b)
	Subtraction of two vectors. More...
template<class T >
BasicVector3D< T >	operator- (const BasicVector3D< T > &v)
	Unary minus. More...
template<class T , class U >
BasicVector3D< T >	operator/ (const BasicVector3D< T > &v, U a)
	Division vector by scalar. More...
template<class T >
std::ostream &	operator<< (std::ostream &os, const BasicVector3D< T > &a)
	Output to stream. More...
template<class T >
bool	operator== (const BasicVector3D< T > &a, const BasicVector3D< T > &b)
	Comparison of two vectors for equality. More...

Detailed Description

template<class T>
class BasicVector3D< T >

Three-dimensional vector template, for use with integer, double, or complex components.

Definition at line 27 of file BasicVector3D.h.

Constructor & Destructor Documentation

BasicVector3D() [1/2]

template<class T >

BasicVector3D< T >::BasicVector3D ( )

inline

Constructs the null vector.

Definition at line 37 of file BasicVector3D.h.

    {
        v_[0] = 0.0;
        v_[1] = 0.0;
        v_[2] = 0.0;
    }

References BasicVector3D< T >::v_.

BasicVector3D() [2/2]

template<class T >

BasicVector3D< T >::BasicVector3D ( const T  x1, const T  y1, const T  z1  )

inline

Constructs a vector from cartesian components.

Definition at line 45 of file BasicVector3D.h.

    {
        v_[0] = x1;
        v_[1] = y1;
        v_[2] = z1;
    }

References BasicVector3D< T >::v_.

Member Function Documentation

angle()

template<class T >

double BasicVector3D< T >::angle

(

const BasicVector3D< T > &

v

)

const

Returns angle with respect to another vector.

complex()

template<class T >

BasicVector3D<complex_t> BasicVector3D< T >::complex

(

)

const

Returns this, trivially converted to complex type.

Referenced by Bin1DCVector::Bin1DCVector(), FormFactorCrystal::evaluate(), and FormFactorCrystal::evaluatePol().

conj()

template<class T >

BasicVector3D<T> BasicVector3D< T >::conj

(

)

const

Returns complex conjugate vector.

cosTheta()

template<class T >

double BasicVector3D< T >::cosTheta

(

)

const

Returns cosine of polar angle.

cross()

template<class T >

template<class U >

auto BasicVector3D< T >::cross ( const BasicVector3D< U > &  v ) const

inline

Returns cross product of vectors (linear in both arguments).

Returns cross product of (complex) vectors.

Definition at line 312 of file BasicVector3D.h.

{
    return BasicVector3D<decltype(this->x() * v.x())>(
        y() * v.z() - v.y() * z(), z() * v.x() - v.z() * x(), x() * v.y() - v.x() * y());
}

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

Referenced by Lattice3D::computeReciprocalVectors(), PolyhedralFace::edge_sum_ff(), MisesFisherGaussPeakShape::evaluate(), MisesGaussPeakShape::evaluate(), PolyhedralFace::ff_n_core(), RectangularDetector::initUandV(), and Lattice3D::unitCellVolume().

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dot()

template<class T >

template<class U >

auto BasicVector3D< T >::dot ( const BasicVector3D< U > &  v ) const

inline

Returns dot product of vectors (antilinear in the first [=self] argument).

Returns dot product of (complex) vectors (antilinear in the first [=self] argument).

Definition at line 301 of file BasicVector3D.h.

{
    BasicVector3D<T> left_star = this->conj();
    return left_star.x() * v.x() + left_star.y() * v.y() + left_star.z() * v.z();
}

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

Referenced by PolyhedralFace::PolyhedralFace(), RectangularPixel::calculateSolidAngle(), Lattice3D::computeReciprocalVectors(), PolyhedralEdge::contrib(), PolyhedralFace::decompose_q(), PolyhedralFace::edge_sum_ff(), GaussFisherPeakShape::evaluate(), LorentzFisherPeakShape::evaluate(), MisesFisherGaussPeakShape::evaluate(), MisesGaussPeakShape::evaluate(), PolyhedralFace::ff_2D(), PolyhedralFace::ff_n(), PolyhedralFace::ff_n_core(), Lattice3D::getNearestReciprocalLatticeVectorCoordinates(), FormFactorDecoratorPositionFactor::getPositionFactor(), InterferenceFunctionTwin::iff_without_dw(), InterferenceFunctionFinite3DLattice::iff_without_dw(), RectangularDetector::indexOfSpecular(), RectangularDetector::initUandV(), MisesFisherGaussPeakShape::integrand(), RectangularPixel::integrationFactor(), PolyhedralFace::normalProjectionConj(), BasicVector3D< T >::project(), PolyhedralEdge::qE(), PolyhedralEdge::qR(), and Lattice3D::unitCellVolume().

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mag()

template<class T >

double BasicVector3D< T >::mag ( ) const

inline

Returns magnitude of the vector.

Definition at line 131 of file BasicVector3D.h.

{ return sqrt(mag2()); }

References BasicVector3D< T >::mag2().

Referenced by MatrixRTCoefficients::MatrixRTCoefficients(), DetectionProperties::analyzerOperator(), FormFactorCrystal::calculateLargestReciprocalDistance(), RectangularPixel::calculateSolidAngle(), SpecularMagneticStrategy_v2::calculateTR(), DetectionProperties::checkAnalyzerProperties(), MatrixRTCoefficients::computeDeltaMatrix(), KzComputation::computeReducedKz(), SpecularMagneticStrategy_v2::computeTR(), DetectorItem::createDetector(), PolyhedralFace::decompose_q(), GaussFisherPeakShape::evaluate(), LorentzFisherPeakShape::evaluate(), MisesFisherGaussPeakShape::evaluate(), MisesGaussPeakShape::evaluate(), Polyhedron::evaluate_centered(), FormFactorCone::evaluate_for_q(), FormFactorHemiEllipsoid::evaluate_for_q(), FormFactorTruncatedSphere::evaluate_for_q(), FormFactorTruncatedSpheroid::evaluate_for_q(), PolyhedralFace::ff(), PolyhedralFace::ff_2D(), PolyhedralFace::ff_n(), InterferenceFunction3DLattice::initRecRadius(), RectangularDetector::initUandV(), RectangularPixel::integrationFactor(), SpecularMagneticStrategy_v2::nullifyBottomReflection(), Slice::polarizedReducedPotential(), Lattice3D::reciprocalLatticeVectorsWithinRadius(), Slice::scalarReducedPotential(), DetectionProperties::setAnalyzerProperties(), Beam::setPolarization(), RectangularDetector::setPosition(), and MatrixRTCoefficients::TransformationMatrix().

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mag2()

template<class T >

double BasicVector3D< T >::mag2 ( ) const

inline

Returns magnitude squared of the vector.

Definition at line 128 of file BasicVector3D.h.

{ return std::norm(v_[0]) + std::norm(v_[1]) + std::norm(v_[2]); }

References BasicVector3D< T >::v_.

Referenced by InterferenceFunctionTwin::InterferenceFunctionTwin(), PolyhedralEdge::PolyhedralEdge(), PolyhedralFace::PolyhedralFace(), KzComputation::computeKzFromRefIndices(), FormFactorCrystal::debyeWallerFactor(), IInterferenceFunction::DWfactor(), IsotropicGaussPeakShape::evaluate(), IsotropicLorentzPeakShape::evaluate(), MisesFisherGaussPeakShape::evaluate(), MisesGaussPeakShape::evaluate(), Polyhedron::evaluate_centered(), PolyhedralFace::expansion(), PolyhedralFace::ff(), PolyhedralFace::ff_2D_direct(), PolyhedralFace::ff_n(), ScalarFresnelMap::getCoefficientsFromCache(), BasicVector3D< T >::mag(), MaterialUtils::PolarizedReducedPotential(), and BasicVector3D< T >::project().

magxy()

template<class T >

double BasicVector3D< T >::magxy ( ) const

inline

Returns distance from z axis.

Definition at line 137 of file BasicVector3D.h.

{ return sqrt(magxy2()); }

References BasicVector3D< T >::magxy2().

Referenced by SSCApproximationStrategy::polarizedCalculation(), and SSCApproximationStrategy::scalarCalculation().

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magxy2()

template<class T >

double BasicVector3D< T >::magxy2 ( ) const

inline

Returns squared distance from z axis.

Definition at line 134 of file BasicVector3D.h.

{ return std::norm(v_[0]) + std::norm(v_[1]); }

References BasicVector3D< T >::v_.

Referenced by BasicVector3D< T >::magxy().

operator*=()

template<class T >

template<class U >

auto BasicVector3D< T >::operator*= ( U  a )

inline

Multiplies this with a scalar, and returns result.

Definition at line 100 of file BasicVector3D.h.

    {
        v_[0] *= a;
        v_[1] *= a;
        v_[2] *= a;
        return *this;
    }

References BasicVector3D< T >::v_.

operator+=()

template<class T >

BasicVector3D<T>& BasicVector3D< T >::operator+= ( const BasicVector3D< T > &  v )

inline

Adds other vector to this, and returns result.

Definition at line 81 of file BasicVector3D.h.

    {
        v_[0] += v.v_[0];
        v_[1] += v.v_[1];
        v_[2] += v.v_[2];
        return *this;
    }

References BasicVector3D< T >::v_.

operator-=()

template<class T >

BasicVector3D<T>& BasicVector3D< T >::operator-= ( const BasicVector3D< T > &  v )

inline

Subtracts other vector from this, and returns result.

Definition at line 90 of file BasicVector3D.h.

    {
        v_[0] -= v.v_[0];
        v_[1] -= v.v_[1];
        v_[2] -= v.v_[2];
        return *this;
    }

References BasicVector3D< T >::v_.

operator/=()

template<class T >

template<class U >

auto BasicVector3D< T >::operator/= ( U  a )

inline

Divides this by a scalar, and returns result.

Definition at line 111 of file BasicVector3D.h.

    {
        v_[0] /= a;
        v_[1] /= a;
        v_[2] /= a;
        return *this;
    }

References BasicVector3D< T >::v_.

operator[]() [1/2]

template<class T >

T& BasicVector3D< T >::operator[] ( int  i )

inline

Sets components by index.

Definition at line 60 of file BasicVector3D.h.

{ return v_[i]; }

References BasicVector3D< T >::v_.

operator[]() [2/2]

template<class T >

T BasicVector3D< T >::operator[] ( int  i ) const

inline

Returns components by index.

Definition at line 57 of file BasicVector3D.h.

{ return v_[i]; }

References BasicVector3D< T >::v_.

phi()

template<class T >

double BasicVector3D< T >::phi

(

)

const

Returns azimuth angle.

Referenced by RectangularConverter::axisAngle(), and SimulationElement::getPhi().

project()

template<class T >

BasicVector3D<T> BasicVector3D< T >::project ( const BasicVector3D< T > &  v ) const

inline

Returns projection of this onto other vector: (this*v)*v/|v|^2.

Definition at line 178 of file BasicVector3D.h.

    {
        return dot(v) * v / v.mag2();
    }

References BasicVector3D< T >::dot(), and BasicVector3D< T >::mag2().

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real()

template<class T >

BasicVector3D<double> BasicVector3D< T >::real

(

)

const

Returns real parts.

Referenced by FormFactorCrystal::evaluate(), and FormFactorCrystal::evaluatePol().

rotated()

template<class T >

BasicVector3D<T> BasicVector3D< T >::rotated	(	double	a,
		const BasicVector3D< T > &	v
	)		const

Returns result of rotation around the axis specified by another vector.

rotatedX()

template<class T >

BasicVector3D<T> BasicVector3D< T >::rotatedX

(

double

a

)

const

Returns result of rotation around x-axis.

rotatedY()

template<class T >

BasicVector3D<T> BasicVector3D< T >::rotatedY

(

double

a

)

const

Returns result of rotation around y-axis.

rotatedZ()

template<class T >

BasicVector3D<T> BasicVector3D< T >::rotatedZ ( double  a ) const

inline

Returns result of rotation around z-axis.

Definition at line 192 of file BasicVector3D.h.

    {
        return BasicVector3D<T>(cos(a) * x() + sin(a) * y(), -sin(a) * x() + cos(a) * y(), z());
    }

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

Referenced by InterferenceFunction2DSuperLattice::interferenceForXi().

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setX()

template<class T >

void BasicVector3D< T >::setX ( const T &  a )

inline

Sets x-component in cartesian coordinate system.

Definition at line 70 of file BasicVector3D.h.

{ v_[0] = a; }

References BasicVector3D< T >::v_.

setY()

template<class T >

void BasicVector3D< T >::setY ( const T &  a )

inline

Sets y-component in cartesian coordinate system.

Definition at line 72 of file BasicVector3D.h.

{ v_[1] = a; }

References BasicVector3D< T >::v_.

setZ()

template<class T >

void BasicVector3D< T >::setZ ( const T &  a )

inline

Sets z-component in cartesian coordinate system.

Definition at line 74 of file BasicVector3D.h.

{ v_[2] = a; }

References BasicVector3D< T >::v_.

Referenced by IBornFF::computeSlicingEffects(), IInterferenceFunction::DWfactor(), ComputeDWBA::evaluate(), ComputeDWBAPol::evaluatePol(), Slice::initBField(), and RectangularDetector::initNormalVector().

sin2Theta()

template<class T >

double BasicVector3D< T >::sin2Theta

(

)

const

Returns squared sine of polar angle.

Referenced by MaterialUtils::ScalarReducedPotential().

theta()

template<class T >

double BasicVector3D< T >::theta

(

)

const

Returns polar angle.

Referenced by RectangularConverter::axisAngle(), SimulationElement::getAlpha(), and ScalarFresnelMap::getCoefficientsFromCache().

unit()

template<class T >

BasicVector3D<T> BasicVector3D< T >::unit

(

)

const

Returns unit vector in direction of this. Throws for null vector.

Referenced by PolyhedralFace::PolyhedralFace(), MisesFisherGaussPeakShape::evaluate(), MisesGaussPeakShape::evaluate(), Lattice3D::getMillerDirection(), InterferenceFunctionTwin::iff_without_dw(), RectangularDetector::indexOfSpecular(), RectangularDetector::initNormalVector(), RectangularDetector::initUandV(), RectangularPixel::normalizeLength(), RectangularConverter::normalizeToWavelength(), and DetectionProperties::setAnalyzerProperties().

x()

template<class T >

T BasicVector3D< T >::x ( ) const

inline

Returns x-component in cartesian coordinate system.

Definition at line 63 of file BasicVector3D.h.

{ return v_[0]; }

References BasicVector3D< T >::v_.

Referenced by DetectionProperties::analyzerOperator(), RealSpaceBuilderUtils::applyParticleCoreShellTransformations(), RealSpaceBuilderUtils::applyParticleTransformations(), SpecularMagneticStrategy_v2::calculateTR(), MatrixRTCoefficients::computeDeltaMatrix(), SpecularMagneticNCStrategy::computeRoughnessMatrices(), BasicVector3D< T >::cross(), SampleToPython::defineLattices3D(), SampleToPython::defineMaterials(), BasicVector3D< T >::dot(), InterferenceFunction2DSuperLattice::evaluate(), Prism::evaluate_for_q(), FormFactorBox::evaluate_for_q(), FormFactorCylinder::evaluate_for_q(), FormFactorEllipsoidalCylinder::evaluate_for_q(), FormFactorFullSpheroid::evaluate_for_q(), FormFactorHollowSphere::evaluate_for_q(), FormFactorLongBoxGauss::evaluate_for_q(), FormFactorLongBoxLorentz::evaluate_for_q(), IProfileRipple::evaluate_for_q(), FormFactorGaussSphere::evaluate_for_q(), FormFactorSphereGaussianRadius::evaluate_for_q(), ComputeDWBAPol::evaluatePol(), someff::ffSphere(), LayerRoughness::getCorrFun(), Beam::getPolarization(), LayerRoughness::getSpectralFun(), InterferenceFunctionRadialParaCrystal::iff_without_dw(), InterferenceFunction1DLattice::iff_without_dw(), InterferenceFunction2DLattice::iff_without_dw(), InterferenceFunction2DParaCrystal::iff_without_dw(), InterferenceFunction2DSuperLattice::iff_without_dw(), InterferenceFunctionFinite2DLattice::iff_without_dw(), InterferenceFunctionHardDisk::iff_without_dw(), FormFactorCone::Integrand(), FormFactorHemiEllipsoid::Integrand(), FormFactorTruncatedSphere::Integrand(), FormFactorTruncatedSpheroid::Integrand(), SpecularMagneticStrategy_v2::nullifyBottomReflection(), BasicVector3D< T >::operator!=(), BasicVector3D< T >::operator*(), BasicVector3D< T >::operator+(), BasicVector3D< T >::operator-(), BasicVector3D< T >::operator/(), BasicVector3D< T >::operator<<(), BasicVector3D< T >::operator==(), MatrixRTCoefficients::pMatrixHelper(), RealSpaceMesoCrystal::populateMesoCrystal(), pyfmt::printKvector(), BasicVector3D< T >::rotatedZ(), TransformToDomain::setPositionInfo(), VectorItem::setVector(), IParametricComponent::setVectorValue(), MatrixRTCoefficients::TransformationMatrix(), Transform3D::transformed(), and Transform3D::transformedInverse().

y()

template<class T >

T BasicVector3D< T >::y ( ) const

inline

Returns y-component in cartesian coordinate system.

Definition at line 65 of file BasicVector3D.h.

{ return v_[1]; }

References BasicVector3D< T >::v_.

Referenced by DetectionProperties::analyzerOperator(), RealSpaceBuilderUtils::applyParticleCoreShellTransformations(), RealSpaceBuilderUtils::applyParticleTransformations(), SpecularMagneticStrategy_v2::calculateTR(), MatrixRTCoefficients::computeDeltaMatrix(), BasicVector3D< T >::cross(), SampleToPython::defineLattices3D(), SampleToPython::defineMaterials(), BasicVector3D< T >::dot(), InterferenceFunction2DSuperLattice::evaluate(), Prism::evaluate_for_q(), FormFactorBox::evaluate_for_q(), FormFactorCylinder::evaluate_for_q(), FormFactorEllipsoidalCylinder::evaluate_for_q(), FormFactorFullSpheroid::evaluate_for_q(), FormFactorHollowSphere::evaluate_for_q(), FormFactorLongBoxGauss::evaluate_for_q(), FormFactorLongBoxLorentz::evaluate_for_q(), IProfileRipple::evaluate_for_q(), FormFactorGaussSphere::evaluate_for_q(), FormFactorSphereGaussianRadius::evaluate_for_q(), ComputeDWBAPol::evaluatePol(), someff::ffSphere(), LayerRoughness::getCorrFun(), Beam::getPolarization(), LayerRoughness::getSpectralFun(), InterferenceFunctionRadialParaCrystal::iff_without_dw(), InterferenceFunction1DLattice::iff_without_dw(), InterferenceFunction2DLattice::iff_without_dw(), InterferenceFunction2DParaCrystal::iff_without_dw(), InterferenceFunction2DSuperLattice::iff_without_dw(), InterferenceFunctionFinite2DLattice::iff_without_dw(), InterferenceFunctionHardDisk::iff_without_dw(), FormFactorCone::Integrand(), FormFactorHemiEllipsoid::Integrand(), FormFactorTruncatedSphere::Integrand(), FormFactorTruncatedSpheroid::Integrand(), SpecularMagneticStrategy_v2::nullifyBottomReflection(), BasicVector3D< T >::operator!=(), BasicVector3D< T >::operator*(), BasicVector3D< T >::operator+(), BasicVector3D< T >::operator-(), BasicVector3D< T >::operator/(), BasicVector3D< T >::operator<<(), BasicVector3D< T >::operator==(), MatrixRTCoefficients::pMatrixHelper(), RealSpaceMesoCrystal::populateMesoCrystal(), pyfmt::printKvector(), BasicVector3D< T >::rotatedZ(), TransformToDomain::setPositionInfo(), VectorItem::setVector(), IParametricComponent::setVectorValue(), MatrixRTCoefficients::TransformationMatrix(), Transform3D::transformed(), and Transform3D::transformedInverse().

z()

template<class T >

T BasicVector3D< T >::z ( ) const

inline

Returns z-component in cartesian coordinate system.

Definition at line 67 of file BasicVector3D.h.

{ return v_[2]; }

References BasicVector3D< T >::v_.

Referenced by DetectionProperties::analyzerOperator(), RealSpaceBuilderUtils::applyParticleCoreShellTransformations(), RealSpaceBuilderUtils::applyParticleTransformations(), FormFactorFullSphere::bottomZ(), FormFactorDecoratorPositionFactor::bottomZ(), SpecularMagneticStrategy_v2::calculateTR(), MatrixRTCoefficients::computeDeltaMatrix(), KzComputation::computeKzFromRefIndices(), KzComputation::computeReducedKz(), IBornFF::computeSlicingEffects(), BasicVector3D< T >::cross(), SampleToPython::defineLattices3D(), SampleToPython::defineMaterials(), BasicVector3D< T >::dot(), ComputeDWBA::evaluate(), Polyhedron::evaluate_for_q(), Prism::evaluate_for_q(), FormFactorBox::evaluate_for_q(), FormFactorCylinder::evaluate_for_q(), FormFactorEllipsoidalCylinder::evaluate_for_q(), FormFactorFullSphere::evaluate_for_q(), FormFactorFullSpheroid::evaluate_for_q(), FormFactorHollowSphere::evaluate_for_q(), FormFactorLongBoxGauss::evaluate_for_q(), FormFactorLongBoxLorentz::evaluate_for_q(), FormFactorTruncatedSphere::evaluate_for_q(), FormFactorTruncatedSpheroid::evaluate_for_q(), IProfileRipple::evaluate_for_q(), FormFactorGaussSphere::evaluate_for_q(), FormFactorSphereGaussianRadius::evaluate_for_q(), someff::ffSphere(), Beam::getPolarization(), ProcessedSample::initBFields(), RectangularDetector::initNormalVector(), FormFactorCone::Integrand(), FormFactorHemiEllipsoid::Integrand(), FormFactorTruncatedSphere::Integrand(), FormFactorTruncatedSpheroid::Integrand(), SpecularMagneticStrategy_v2::nullifyBottomReflection(), BasicVector3D< T >::operator!=(), BasicVector3D< T >::operator*(), BasicVector3D< T >::operator+(), BasicVector3D< T >::operator-(), BasicVector3D< T >::operator/(), BasicVector3D< T >::operator<<(), BasicVector3D< T >::operator==(), MatrixRTCoefficients::pMatrixHelper(), RealSpaceMesoCrystal::populateMesoCrystal(), pyfmt::printKvector(), BasicVector3D< T >::rotatedZ(), TransformToDomain::setPositionInfo(), VectorItem::setVector(), IParametricComponent::setVectorValue(), FormFactorFullSphere::topZ(), FormFactorDecoratorPositionFactor::topZ(), MatrixRTCoefficients::TransformationMatrix(), Transform3D::transformed(), and Transform3D::transformedInverse().

Friends And Related Function Documentation

operator!=()

template<class T >

bool operator!= ( const BasicVector3D< T > &  a, const BasicVector3D< T > &  b  )

related

Comparison of two vectors for inequality.

Definition at line 288 of file BasicVector3D.h.

{
    return (a.x() != b.x() || a.y() != b.y() || a.z() != b.z());
}

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

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operator*() [1/2]

template<class T , class U >

auto operator* ( const BasicVector3D< T > &  v, const U  a  )

related

Multiplication vector by scalar.

Definition at line 252 of file BasicVector3D.h.

{
    return BasicVector3D<decltype(v.x() * a)>(v.x() * a, v.y() * a, v.z() * a);
}

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

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operator*() [2/2]

template<class T , class U >

auto operator* ( const U  a, const BasicVector3D< T > &  v  )

related

Multiplication scalar by vector.

Definition at line 261 of file BasicVector3D.h.

{
    return BasicVector3D<decltype(a * v.x())>(a * v.x(), a * v.y(), a * v.z());
}

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

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operator+() [1/2]

template<class T >

BasicVector3D< T > operator+ ( const BasicVector3D< T > &  a, const BasicVector3D< T > &  b  )

related

Addition of two vectors.

Definition at line 236 of file BasicVector3D.h.

{
    return BasicVector3D<T>(a.x() + b.x(), a.y() + b.y(), a.z() + b.z());
}

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

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operator+() [2/2]

template<class T >

BasicVector3D< T > operator+ ( const BasicVector3D< T > &  v )

related

Unary plus.

Definition at line 217 of file BasicVector3D.h.

{
    return v;
}

operator-() [1/2]

template<class T >

BasicVector3D< T > operator- ( const BasicVector3D< T > &  a, const BasicVector3D< T > &  b  )

related

Subtraction of two vectors.

Definition at line 244 of file BasicVector3D.h.

{
    return BasicVector3D<T>(a.x() - b.x(), a.y() - b.y(), a.z() - b.z());
}

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

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operator-() [2/2]

template<class T >

BasicVector3D< T > operator- ( const BasicVector3D< T > &  v )

related

Unary minus.

Definition at line 224 of file BasicVector3D.h.

{
    return BasicVector3D<T>(-v.x(), -v.y(), -v.z());
}

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

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operator/()

template<class T , class U >

BasicVector3D< T > operator/ ( const BasicVector3D< T > &  v, U  a  )

related

Division vector by scalar.

Definition at line 274 of file BasicVector3D.h.

{
    return BasicVector3D<T>(v.x() / a, v.y() / a, v.z() / a);
}

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

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operator<<()

template<class T >

std::ostream & operator<< ( std::ostream &  os, const BasicVector3D< T > &  a  )

related

Output to stream.

Definition at line 206 of file BasicVector3D.h.

{
    return os << "(" << a.x() << "," << a.y() << "," << a.z() << ")";
}

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

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operator==()

template<class T >

bool operator== ( const BasicVector3D< T > &  a, const BasicVector3D< T > &  b  )

related

Comparison of two vectors for equality.

Definition at line 281 of file BasicVector3D.h.

{
    return (a.x() == b.x() && a.y() == b.y() && a.z() == b.z());
}

References BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

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Member Data Documentation

v_

template<class T >

T BasicVector3D< T >::v_[3]

private

Definition at line 29 of file BasicVector3D.h.

Referenced by BasicVector3D< T >::BasicVector3D(), BasicVector3D< T >::mag2(), BasicVector3D< T >::magxy2(), BasicVector3D< T >::operator*=(), BasicVector3D< T >::operator+=(), BasicVector3D< T >::operator-=(), BasicVector3D< T >::operator/=(), BasicVector3D< T >::operator[](), BasicVector3D< T >::setX(), BasicVector3D< T >::setY(), BasicVector3D< T >::setZ(), BasicVector3D< T >::x(), BasicVector3D< T >::y(), and BasicVector3D< T >::z().

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

• /home/www/ba/Base/Vector/BasicVector3D.h