BasicVector3D< T > Class Template Reference

Collaboration diagram for BasicVector3D< T >:

Public Member Functions
	BasicVector3D ()
	BasicVector3D (const T x1, const T y1, const T z1)
T	operator[] (int i) const
T &	operator[] (int i)
T	x () const
T	y () const
T	z () const
void	setX (const T &a)
void	setY (const T &a)
void	setZ (const T &a)
BasicVector3D< T > &	operator+= (const BasicVector3D< T > &v)
BasicVector3D< T > &	operator-= (const BasicVector3D< T > &v)
template<class U >
auto	operator*= (U a)
template<class U >
auto	operator/= (U a)
BasicVector3D< T >	conj () const
double	mag2 () const
double	mag () const
double	magxy2 () const
double	magxy () const
double	phi () const
double	theta () const
double	cosTheta () const
double	sin2Theta () const
BasicVector3D< T >	unit () const
BasicVector3D< std::complex< double > >	complex () const
BasicVector3D< double >	real () const
template<class U >
auto	dot (const BasicVector3D< U > &v) const
template<class U >
auto	cross (const BasicVector3D< U > &v) const
double	angle (const BasicVector3D< T > &v) const
BasicVector3D< T >	project (const BasicVector3D< T > &v) const
BasicVector3D< T >	rotatedX (double a) const
BasicVector3D< T >	rotatedY (double a) const
BasicVector3D< T >	rotatedZ (double a) const
BasicVector3D< T >	rotated (double a, const BasicVector3D< T > &v) const
BasicVector3D< complex_t >	conj () const
BasicVector3D< double >	real () const
BasicVector3D< complex_t >	unit () const

Private Attributes
T	v_ [3]

Related Functions
(Note that these are not member functions.)
template<class T >
std::ostream &	operator<< (std::ostream &os, const BasicVector3D< T > &a)
template<class T >
BasicVector3D< T >	operator+ (const BasicVector3D< T > &v)
template<class T >
BasicVector3D< T >	operator- (const BasicVector3D< T > &v)
template<class T >
BasicVector3D< T >	operator+ (const BasicVector3D< T > &a, const BasicVector3D< T > &b)
template<class T >
BasicVector3D< T >	operator- (const BasicVector3D< T > &a, const BasicVector3D< T > &b)
template<class T , class U >
auto	operator* (const BasicVector3D< T > &v, const U a)
template<class T , class U >
auto	operator* (const U a, const BasicVector3D< T > &v)
template<class T , class U >
BasicVector3D< T >	operator/ (const BasicVector3D< T > &v, U a)
template<class T >
bool	operator== (const BasicVector3D< T > &a, const BasicVector3D< T > &b)
template<class T >
bool	operator!= (const BasicVector3D< T > &a, const BasicVector3D< T > &b)

Detailed Description

template<class T>
class BasicVector3D< T >

Forked from CLHEP/Geometry by E.

Chernyaev Evgue.nosp@m.ni.T.nosp@m.chern.nosp@m.iaev.nosp@m.@cern.nosp@m..ch, then reworked beyond recognition. Removed split of point and vector semantics. Transforms are relegated to a separate class Transform3D. 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

Default constructor.

Definition at line 38 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

Constructor from cartesian components.

Definition at line 46 of file BasicVector3D.h.

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

References BasicVector3D< T >::v_.

Member Function Documentation

operator[]() [1/2]

template<class T >

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

inline

Returns components by index.

Definition at line 58 of file BasicVector3D.h.

{ return v_[i]; }

References BasicVector3D< T >::v_.

operator[]() [2/2]

template<class T >

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

inline

Sets components by index.

Definition at line 61 of file BasicVector3D.h.

{ return v_[i]; }

References BasicVector3D< T >::v_.

x()

template<class T >

T BasicVector3D< T >::x ( ) const

inline

Returns x-component in cartesian coordinate system.

Definition at line 64 of file BasicVector3D.h.

{ return v_[0]; }

References BasicVector3D< T >::v_.

Referenced by DetectionProperties::analyzerOperator(), SpecularMagneticStrategy::calculateTR(), MatrixRTCoefficients_v3::computeDeltaMatrix(), Lattice::computeInverseVectors(), SpecularMagneticNewNCStrategy::computeRoughnessMatrices(), BasicVector3D< T >::cross(), SimulationToPython::defineDetectorPolarizationAnalysis(), SampleToPython::defineLattices(), 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(), FormFactorDWBAPol::evaluatePol(), someff::ffSphere(), LayerRoughness::getCorrFun(), Beam::getPolarization(), LayerRoughness::getSpectralFun(), InterferenceFunction1DLattice::iff_without_dw(), InterferenceFunction2DLattice::iff_without_dw(), InterferenceFunction2DParaCrystal::iff_without_dw(), InterferenceFunction2DSuperLattice::iff_without_dw(), InterferenceFunctionFinite2DLattice::iff_without_dw(), InterferenceFunctionHardDisk::iff_without_dw(), InterferenceFunctionRadialParaCrystal::iff_without_dw(), FormFactorCone::Integrand(), FormFactorHemiEllipsoid::Integrand(), FormFactorTruncatedSphere::Integrand(), FormFactorTruncatedSpheroid::Integrand(), anonymous_namespace{SimulationToPython.cpp}::isDefaultDirection(), SpecularMagneticStrategy::nullifyBottomReflection(), BasicVector3D< T >::operator!=(), BasicVector3D< T >::operator*(), BasicVector3D< T >::operator+(), BasicVector3D< T >::operator-(), BasicVector3D< T >::operator/(), BasicVector3D< T >::operator<<(), BasicVector3D< T >::operator==(), MatrixRTCoefficients_v3::pMatrixHelper(), pyfmt::printKvector(), BasicVector3D< T >::rotatedZ(), SampleToPython::setPositionInformation(), IParameterized::setVectorValue(), MatrixRTCoefficients_v3::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 66 of file BasicVector3D.h.

{ return v_[1]; }

References BasicVector3D< T >::v_.

Referenced by DetectionProperties::analyzerOperator(), SpecularMagneticStrategy::calculateTR(), MatrixRTCoefficients_v3::computeDeltaMatrix(), Lattice::computeInverseVectors(), BasicVector3D< T >::cross(), SimulationToPython::defineDetectorPolarizationAnalysis(), SampleToPython::defineLattices(), 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(), FormFactorDWBAPol::evaluatePol(), someff::ffSphere(), LayerRoughness::getCorrFun(), Beam::getPolarization(), LayerRoughness::getSpectralFun(), InterferenceFunction1DLattice::iff_without_dw(), InterferenceFunction2DLattice::iff_without_dw(), InterferenceFunction2DParaCrystal::iff_without_dw(), InterferenceFunction2DSuperLattice::iff_without_dw(), InterferenceFunctionFinite2DLattice::iff_without_dw(), InterferenceFunctionHardDisk::iff_without_dw(), InterferenceFunctionRadialParaCrystal::iff_without_dw(), FormFactorCone::Integrand(), FormFactorHemiEllipsoid::Integrand(), FormFactorTruncatedSphere::Integrand(), FormFactorTruncatedSpheroid::Integrand(), anonymous_namespace{SimulationToPython.cpp}::isDefaultDirection(), SpecularMagneticStrategy::nullifyBottomReflection(), BasicVector3D< T >::operator!=(), BasicVector3D< T >::operator*(), BasicVector3D< T >::operator+(), BasicVector3D< T >::operator-(), BasicVector3D< T >::operator/(), BasicVector3D< T >::operator<<(), BasicVector3D< T >::operator==(), MatrixRTCoefficients_v3::pMatrixHelper(), pyfmt::printKvector(), BasicVector3D< T >::rotatedZ(), SampleToPython::setPositionInformation(), IParameterized::setVectorValue(), MatrixRTCoefficients_v3::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 68 of file BasicVector3D.h.

{ return v_[2]; }

References BasicVector3D< T >::v_.

Referenced by DetectionProperties::analyzerOperator(), FormFactorFullSphere::bottomZ(), FormFactorDecoratorPositionFactor::bottomZ(), anonymous_namespace{SpecularMagneticOldStrategy.cpp}::CalculateEigenvalues(), SpecularMagneticStrategy::calculateTR(), MatrixRTCoefficients_v3::computeDeltaMatrix(), Lattice::computeInverseVectors(), KzComputation::computeKzFromRefIndices(), KzComputation::computeReducedKz(), IFormFactorBorn::computeSlicingEffects(), BasicVector3D< T >::cross(), SimulationToPython::defineDetectorPolarizationAnalysis(), SampleToPython::defineLattices(), SampleToPython::defineMaterials(), BasicVector3D< T >::dot(), FormFactorDWBA::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(), anonymous_namespace{SimulationToPython.cpp}::isDefaultDirection(), SpecularMagneticStrategy::nullifyBottomReflection(), BasicVector3D< T >::operator!=(), BasicVector3D< T >::operator*(), BasicVector3D< T >::operator+(), BasicVector3D< T >::operator-(), BasicVector3D< T >::operator/(), BasicVector3D< T >::operator<<(), BasicVector3D< T >::operator==(), MatrixRTCoefficients_v3::pMatrixHelper(), pyfmt::printKvector(), BasicVector3D< T >::rotatedZ(), SampleToPython::setPositionInformation(), IParameterized::setVectorValue(), anonymous_namespace{IFormFactor.cpp}::ShapeIsContainedInLimits(), anonymous_namespace{IFormFactor.cpp}::ShapeOutsideLimits(), FormFactorFullSphere::topZ(), FormFactorDecoratorPositionFactor::topZ(), MatrixRTCoefficients_v3::TransformationMatrix(), Transform3D::transformed(), and Transform3D::transformedInverse().

setX()

template<class T >

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

inline

Sets x-component in cartesian coordinate system.

Definition at line 71 of file BasicVector3D.h.

{ v_[0] = a; }

References BasicVector3D< T >::v_.

Referenced by Lattice::computeInverseVectors().

setY()

template<class T >

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

inline

Sets y-component in cartesian coordinate system.

Definition at line 73 of file BasicVector3D.h.

{ v_[1] = a; }

References BasicVector3D< T >::v_.

Referenced by Lattice::computeInverseVectors().

setZ()

template<class T >

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

inline

Sets z-component in cartesian coordinate system.

Definition at line 75 of file BasicVector3D.h.

{ v_[2] = a; }

References BasicVector3D< T >::v_.

Referenced by Lattice::computeInverseVectors(), IFormFactorBorn::computeSlicingEffects(), IInterferenceFunction::DWfactor(), FormFactorDWBA::evaluate(), FormFactorDWBAPol::evaluatePol(), Slice::initBField(), and RectangularDetector::initNormalVector().

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 82 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 91 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

Multiplies this with a scalar, and returns result.

Definition at line 101 of file BasicVector3D.h.

    {
        v_[0] *= a;
        v_[1] *= a;
        v_[2] *= a;
        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 112 of file BasicVector3D.h.

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

References BasicVector3D< T >::v_.

conj() [1/2]

template<class T >

BasicVector3D<T> BasicVector3D< T >::conj

(

)

const

Returns complex conjugate vector.

mag2()

template<class T >

double BasicVector3D< T >::mag2 ( ) const

inline

Returns magnitude squared of the vector.

Definition at line 129 of file BasicVector3D.h.

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

References BasicVector3D< T >::v_.

Referenced by KzComputation::computeKzFromRefIndices(), FormFactorCrystal::debyeWallerFactor(), IInterferenceFunction::DWfactor(), IsotropicGaussPeakShape::evaluate(), IsotropicLorentzPeakShape::evaluate(), MisesFisherGaussPeakShape::evaluate(), MisesGaussPeakShape::evaluate(), Polyhedron::evaluate_centered(), PolyhedralFace::expansion(), PolyhedralFace::ff(), PolyhedralFace::ff_2D(), PolyhedralFace::ff_n(), ScalarFresnelMap::getCoefficientsFromCache(), InterferenceFunctionTwin::InterferenceFunctionTwin(), BasicVector3D< T >::mag(), anonymous_namespace{MagneticMaterialImpl.cpp}::OrthogonalToBaseVector(), MaterialUtils::PolarizedReducedPotential(), PolyhedralEdge::PolyhedralEdge(), PolyhedralFace::PolyhedralFace(), and BasicVector3D< T >::project().

mag()

template<class T >

double BasicVector3D< T >::mag ( ) const

inline

Returns magnitude of the vector.

Definition at line 132 of file BasicVector3D.h.

{ return sqrt(mag2()); }

References BasicVector3D< T >::mag2().

Referenced by DetectionProperties::analyzerOperator(), anonymous_namespace{SpecularMagneticOldStrategy.cpp}::CalculateEigenvalues(), FormFactorCrystal::calculateLargestReciprocalDistance(), RectangularPixel::calculateSolidAngle(), SpecularMagneticStrategy::calculateTR(), DetectionProperties::checkAnalyzerProperties(), MatrixRTCoefficients_v3::computeDeltaMatrix(), KzComputation::computeReducedKz(), SpecularMagneticStrategy::computeTR(), PolyhedralFace::decompose_q(), SimulationToPython::defineDetectorPolarizationAnalysis(), 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(), RectangularPixel::getIntegrationFactor(), InterferenceFunction3DLattice::iff_without_dw(), InterferenceFunction3DLattice::initRecRadius(), RectangularDetector::initUandV(), anonymous_namespace{SpecularMagneticNewStrategy.cpp}::magneticSLD(), MatrixRTCoefficients_v3::MatrixRTCoefficients_v3(), SpecularMagneticStrategy::nullifyBottomReflection(), Slice::polarizedReducedPotential(), Slice::scalarReducedPotential(), DetectionProperties::setAnalyzerProperties(), Beam::setPolarization(), RectangularDetector::setPosition(), MatrixRTCoefficients_v3::TransformationMatrix(), and Lattice::vectorsWithinRadius().

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magxy2()

template<class T >

double BasicVector3D< T >::magxy2 ( ) const

inline

Returns squared distance from z axis.

Definition at line 135 of file BasicVector3D.h.

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

References BasicVector3D< T >::v_.

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

magxy()

template<class T >

double BasicVector3D< T >::magxy ( ) const

inline

Returns distance from z axis.

Definition at line 138 of file BasicVector3D.h.

{ return sqrt(magxy2()); }

References BasicVector3D< T >::magxy2().

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

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phi()

template<class T >

double BasicVector3D< T >::phi

(

)

const

Returns azimuth angle.

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

theta()

template<class T >

double BasicVector3D< T >::theta

(

)

const

Returns polar angle.

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

cosTheta()

template<class T >

double BasicVector3D< T >::cosTheta

(

)

const

Returns cosine of polar angle.

sin2Theta()

template<class T >

double BasicVector3D< T >::sin2Theta

(

)

const

Returns squared sine of polar angle.

Referenced by MaterialUtils::ScalarReducedPotential().

unit() [1/2]

template<class T >

BasicVector3D<T> BasicVector3D< T >::unit

(

)

const

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

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

complex()

template<class T >

BasicVector3D<std::complex<double> > BasicVector3D< T >::complex

(

)

const

Returns this, trivially converted to complex type.

Referenced by Bin1DCVector::Bin1DCVector(), FormFactorCrystal::evaluate(), FormFactorCrystal::evaluatePol(), and anonymous_namespace{MagneticMaterialImpl.cpp}::OrthogonalToBaseVector().

real() [1/2]

template<class T >

BasicVector3D<double> BasicVector3D< T >::real

(

)

const

Returns real parts.

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

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 310 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 RectangularPixel::calculateSolidAngle(), Lattice::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(), RectangularPixel::getIntegrationFactor(), Lattice::getNearestLatticeVectorCoordinates(), Lattice::getNearestReciprocalLatticeVectorCoordinates(), FormFactorDecoratorPositionFactor::getPositionFactor(), InterferenceFunctionFinite3DLattice::iff_without_dw(), InterferenceFunctionTwin::iff_without_dw(), RectangularDetector::indexOfSpecular(), RectangularDetector::initUandV(), MisesFisherGaussPeakShape::integrand(), PolyhedralFace::normalProjectionConj(), anonymous_namespace{MagneticMaterialImpl.cpp}::OrthogonalToBaseVector(), PolyhedralFace::PolyhedralFace(), BasicVector3D< T >::project(), PolyhedralEdge::qE(), PolyhedralEdge::qR(), and Lattice::volume().

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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 321 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 Lattice::computeReciprocalVectors(), PolyhedralFace::edge_sum_ff(), MisesFisherGaussPeakShape::evaluate(), MisesGaussPeakShape::evaluate(), PolyhedralFace::ff_n_core(), RectangularDetector::initUandV(), RectangularPixel::RectangularPixel(), and Lattice::volume().

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angle()

template<class T >

double BasicVector3D< T >::angle

(

const BasicVector3D< T > &

v

)

const

Returns angle with respect to another vector.

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 179 of file BasicVector3D.h.

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

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

Referenced by MillerIndexOrientation::transformationMatrix().

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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 193 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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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.

conj() [2/2]

BasicVector3D< complex_t > BasicVector3D< complex_t >::conj

(

)

const

Definition at line 42 of file BasicVector3D.cpp.

{
    return BasicVector3D<complex_t>(std::conj(v_[0]), std::conj(v_[1]), std::conj(v_[2]));
}

real() [2/2]

BasicVector3D< double > BasicVector3D< complex_t >::real

(

)

const

Definition at line 83 of file BasicVector3D.cpp.

{
    return BasicVector3D<double>(v_[0].real(), v_[1].real(), v_[2].real());
}

unit() [2/2]

BasicVector3D< complex_t > BasicVector3D< complex_t >::unit

(

)

const

Definition at line 97 of file BasicVector3D.cpp.

{
    double len = mag();
    if (len == 0.0)
        throw Exceptions::DivisionByZeroException("Cannot normalize zero vector");
    return BasicVector3D<complex_t>(x() / len, y() / len, z() / len);
}

Friends And Related Function Documentation

operator<<()

template<class T >

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

related

Output to stream.

Definition at line 207 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+() [1/2]

template<class T >

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

related

Unary plus.

Definition at line 218 of file BasicVector3D.h.

{
    return v;
}

operator-() [1/2]

template<class T >

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

related

Unary minus.

Definition at line 225 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+() [2/2]

template<class T >

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

related

Addition of two vectors.

Definition at line 237 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 > &  a, const BasicVector3D< T > &  b  )

related

Subtraction of two vectors.

Definition at line 245 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*() [1/2]

template<class T , class U >

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

related

Multiplication vector by scalar.

Definition at line 253 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 262 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/()

template<class T , class U >

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

related

Division vector by scalar.

Definition at line 275 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 >

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

related

Comparison of two vectors for equality.

Definition at line 282 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!=()

template<class T >

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

related

Comparison of two vectors for inequality.

Definition at line 289 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 30 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