VirtualLabAPI.Core.Numerics Namespace Reference

Classes
class	AxisRotationSequence
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class for describing a sequence of rotations about coordinate axes More...
class	CartesianCoordinateSystem
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class for right-handed Cartesian coordinate systems. More...
class	CFieldDerivative1DReal
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class derived from ComplexField, designed especially for one dimensional, real valued data. More...
class	ColorMapping
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Used to describe the color mapping between a ComplexAmplitude and a bitmap. Colors from StartColor to EndColor are linearly mapped to double values from StartValue to EndValue. Optional a third color can be inserted in the middle. All parameters are stored separately for each FieldQuantity. More...
struct	Complex
	This struct holds a complex number. Operators ( \(a+b\), \(a-b\), \(a*b\), \(a/b\) and \(a^b\)) can be used. Passing \(a\) or \(b\) as double is supported. More...
class	ComplexField
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. This class is a matrix of complex values. If no imaginary part is needed (real valued fields) one can set a special flag that indicates a real valued field (ComplexField with imaginary part zero). This different internal representations are used to optimize the computer memory and computational time. Operators ( \(a+b\), \(a-b\), \(a*b\) and \(a/b\)) can be used. Passing \(a\) or \(b\) as Complex or double is supported (Except of \(/\), only \(b\) may be a scalar). Operator \(a|b\) is used for calculation of inner product of two ComplexFields: \(a|b=\sum _{j=0}^{m}\sum _{i=0}^{n}a_{{i,j}}b_{{i,j}^{\star}}\) ( \(z^{\star}\) means conjugation of complex number.). IsComplex property is always taken from first operand. More...
class	ComplexField1DArray
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class to encapsulate an array of objects of type ComplexFieldDerivative1D. It also ensures that all entries are either complex or real valued. More...
class	ComplexFieldArray
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class to encapsulate an array of objects of type ComplexField. More...
class	ComplexFieldDerivative1D
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class derived from ComplexField, designed especially for one dimensional data. More...
class	ComplexFieldInterpolation
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. This class contains static member function to interpolate a ComplexField to another sampling grid. More...
class	ComplexFieldPointInterpolation
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. ComplexFieldPointInterpolation is a class with static members that are able to interpolated pointwise between different sampling points of a ComplexField. Additionally a non static-optimized version is supported for most interpolation methods. These functions are optimized for an interpolation on an equidistant grid. Different interpolation methods are supported. For more information see [Lehmann1999]. More...
class	CoordinateSystemBaseVectors
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class for the base vectors of a Cartesian coordinate system. This kind of triple vector is also called "trihedron". More...
class	CoordinateTransformations
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Provides static conversion functions from one coordinate system to another one, among others More...
class	DataArray1D
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class for objects that store data in C^N which are equidistant or non equidistant distributed in R^1 More...
class	DataArray2D
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class for objects that store gridded data in C^N which are equidistant or non equidistant distributed in R^2 More...
class	DataArrayBase
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Abstract class for storing a map R^M → C^N More...
class	DataArrayGridLess
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class for objects that store data in C^N which are arbitrarily distributed (i.e. not on a grid) in ℝ^M More...
class	DirectionByDirectionAngles
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. A class for defining directions by direction angles. More...
class	DirectionByRotationMatrix
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. A class for defining directions by applying a rotation matrix to a starting vector. More...
class	DirectionByRotationSequence
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. A class for defining directions by applying a sequence of axis rotations to a starting vector. More...
class	EulerAnglesSet
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Struct for Euler angles, following the Z-X'-Z'-convention. More...
class	ExtrapolationInfo
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class which holds information about extrapolation of 1D and 2D data with a finite domain of definition. The extrapolation information tells how to operate outside of the definition domain. More...
interface	IOrientationDefinition
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Interface to be implemented by all classes that describe a rotation definition More...
interface	IProvidesPositioningReferences
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Interface to be implemented by all classes that contain coordinate systems that can serve as positioning references More...
interface	IRegion1D2D
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Interface to connect 1D and 2D regions. More...
class	MathFunctions
	This class contains various mathematical functions and constants. More...
class	Matrix3x3C
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. This class defines a 3x3 Matrix of complex numbers. Operators ( \(a+b\), \(a-b\)). Operator ( \(a*b\)) supports \(b\) as complex or Vector3C as well. More...
class	Matrix3x3D
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. This class defines a 3x3 Matrix of double numbers. Operators ( \(a+b\), \(a-b\)). Operator ( \(a*b\)) supports \(b\) as double or VectorD as well. More...
class	OrientationByCartesianAngles
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. A class for defining orientations by Cartesian angles, i.e. the angles between the projection of the direction to be defined onto the x-z-plane and the z-axis (alpha), and between the projection of the direction to be defined onto the y-z-plane and the z-axis (beta). More...
class	OrientationByDirectionAngles
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. A class for defining orientations by direction angles, i.e. the angles between the direction to be defined and each of the Cartesian axis respectively. More...
class	OrientationByEulerAngles
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. A class for defining orientations by Euler angles. More...
class	OrientationByMatrix
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. A class for defining orientations via rotation matrix. More...
class	OrientationBySphereAngles
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. A class for defining orientations by sphere angles. More...
class	OrientationDefinitionBase
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Base for all classes that describe a rotation definition. More...
class	OrientedPlane
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class for objects that describe planes with a right-hand orientation. Data are stored in parametrized form, i.e. as one point and two vectors. The third base vector gives the orientated normal vector. More...
class	PhysicalUnit
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Association between unit string and corresponding factor. More...
class	PhysicalValue
	class for a double value with a physical unit. More...
class	PhysicalValueBase
	Base class for a complex or double value with a physical unit. More...
class	PhysicalValuePair
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class for a pair of physical values. More...
class	PhysicalValueRange
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class for a range of physical values. More...
class	Position
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class to describe a position object, that is a point in R^3, with reference information added. More...
class	PositionedLine
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class for objects that describe positioned lines in space More...
class	SamplingParameters
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. This class contains parameters for proper sampling of a complex field. More...
class	SimpleRotation
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Class for describing a rotation about one of the coordinate axes or by a certain predefined angle More...
class	Transformations
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Contains static functions that perform transformations of one or two ComplexField like Fourier Transform of Convolution. More...
struct	Vector
	This struct defines a two-dimensional vector of integer numbers. Operators \(a+b\), \(a-b\) and \(a|b\) (Scalar product) can be used. One operand on \(a*b\) and \(a/b\) can be an integer too. Implicit casting to System.Drawing.Point and System.Drawing.Size is supported. More...
struct	Vector3C
	This class defines 3-dimensional vectors of complex numbers. The class saves the x,y and z coordinates. More...
struct	Vector3D
	This struct defines a three dimensional vector of double numbers. Operators \(a+b\), \(a-b\) and \(a|b\) (Scalar product) can be used. Second operand on \(a*b\), \(a/b\) and \(a^b\) (applied separate on components) can be a double too. More...
struct	VectorB
	This struct defines a two-dimensional vector of boolean values. More...
struct	VectorC
	This struct defines a two-dimensional vector of complex numbers. Operators \(a+b\), \(a-b\) and \(a|b\) (Scalar product) can be used. One operand on \(a*b\), \(a/b\) (applied separate on components) can also be a Complex. Implicit casting from Vector is supported. More...
struct	VectorD
	This struct defines a two-dimensional vector of double numbers. Operators \(a+b\), \(a-b\) and \(a|b\) (Scalar product) can be used. One operand on \(a*b\), \(a/b\) (applied separate on components) can be also a double. It is also possible to raise a VectorD to a given power ( \(a^b\)). Implicit casting from Vector is supported. More...
struct	VectorL
	This struct defines a two-dimensional vector of long numbers. Operators \(a+b\), \(a-b\) and \(a|b\) (Scalar product) can be used. One operand on \(a*b\) and \(a/b\) can be an long too. More...

Enumerations
enum	AxisDirection { X , Y , Z }
	These enum flags are used to indicate different directions. More...
enum	ComplexPart {   ExtractPhase , ExtractAmplitude , ExtractImaginary , ExtractReal ,   ExtractSquaredAmplitude , ShiftRealToPhase , ShiftImaginaryToReal , ShiftRealToImaginary ,   ShiftPhaseToReal , SwapRealImaginary , NoChangings }
	This enum lists actions a function can perform on the ComplexPart of a Complex number like extracting, shifting and swapping. More...
enum	ComplexToStringConversionFormat { RealImaginary , AmplitudePhase , PTF , Matlab }
	Output formats which are supported by the Complex.ToString() method and by the Complex.Parse() method. More...
enum	DirectionDefinitionType {   Vector , SphericalAngles , DirectionAngles , CartesianAngles ,   AxisRotationSequence , RotationMatrix }
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Enum for different types of definition for directions More...
enum	ExtrapolationType { Constant , BorderContinuation , Periodic }
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Enum for the mode of extrapolation, applied to a ComplexField if coordinates outside its definition area are needed. More...
enum	FieldQuantity {   RealPart , ImaginaryPart , Amplitude , Phase ,   SquaredAmplitude , SummedSquaredAmplitudes }
	Enumerator containing the distinct components of a Complex number. More...
enum	IndependentDirectionAngles { RhoSigma , SigmaTau , TauRho }
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Enum to differentiate possible combinations of independent direction angles. More...
enum	InterpolationMethod {   SincFFT , SincPointwise , TruncatedSinc , Linear_AmplitudeAndPhase ,   Nearest , Cubic4P , Cubic6P , Cubic8P ,   WindowedSinc , Combined , AcceleratedSinc , Linear_RealAndImaginaryPart }
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Enumeration of constants for different interpolation types. (See manual for details) More...
enum	InterpolationMethodForNonequidistantData { ConstantInterval , LinearOnRealAndImaginaryPart , LinearOnAmplitudeAndPhase }
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Enum for the different methods of interpolation for non equidistant data More...
enum	OrientationDefinitionType {   SphericalAngles , DirectionAngles , CartesianAngles , EulerAngles ,   AxisRotationSequence , RotationMatrix }
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Enum for different types of definition for rotations of vectors, planes or solids More...
enum	PhysicalProperty {   NoUnit , Length , AngleRad , AngleDeg ,   Time , WaveNumber , AbsorptionCoefficient , Percentage ,   Power , ElectricalField , TemporalFrequency , PowerPerArea ,   PowerPerVolume , AreaPerEnergy , VolumePerEnergy , AreaPerEnergySquared ,   VolumePerEnergySquared , EnergyPerArea , EnergyPerVolume , PowerPerSolidAngle ,   PowerPerSolidAngleAndArea , Illuminance , Luminance , LuminousIntensity ,   ArbitraryUnit , LogarithmicLevel , ElectricFieldStrengthSquared , MagneticFieldStrength ,   MagneticFieldStrengthSquared , PowerPerAreaSquared , PerVolume , Energy ,   Temperature , Pressure , ResolvingCapacity , ElectricFieldStrengthSpectral ,   MagneticFieldStrengthSpectral , ElectricFieldStrengthSpectralSquared , MagneticFieldStrengthSpectralSquared , SpectralRadiantFlux ,   SpectralRadiantEnergyDensity , SpectralRadiantIntensity , LuminousEnergyDensity , EnergyJoule ,   LuminousFlux , SpectralRadiantEnergy , LuminousEnergy , Information_Binary ,   Information_Decimal , TemperatureKelvin , UserDefined }
	Supported physical units. More...
enum	PositionRelationOfGeometricalObjects { Parallel , Intersecting , Containedness , SkewLines }
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Enum for the types of position relations of lines and planes More...
enum	PrecisionMode { Double , Float , Short , Long }
	This enumerator lists precisions of the internal complex number representation of the ComplexField class supported by VirtualLab. Different internal representations are used to save computer memory and to increase the calculation speed in case of calculations that need not such a high accuracy. More...
enum	RotationAxisOrAngleName {   EulerAnglePhi , EulerAngleTheta , EulerAnglePsi , SphereAnglePhi ,   SphereAngleTheta , DirectionAngleRho , DirectionAngleSigma , DirectionAngleTau ,   CartesianAngleAlpha , CartesianAngleBeta , AxisRotationX , AxisRotationY ,   AxisRotationZ }
	This class is subject to change. Programs using this class may require changes with a new version of VirtualLab. Enum for all kinds of angles that are to be used within classes implementing IOrientationDefinition. More...

Functions
double[]	BivariateFunction (double parameter1, double parameter2)
	Delegate for a real valued function(s) which depend(s) on two variables.
Complex	ComplexFunction (double x, double y)
	This is intended for callbacks to a function from ℝ² to ℂ.
double	RealFunction (double x, double y)
	This is intended for callbacks to a function from ℝ² to ℝ.
double	RealFunctionIntersection (Vector3D startPosition, Vector3D direction, double distanceOnRay)
	Delegate for a function which returns a real value (distance to surface) for a specific distance on the ray (starting at the start position with the given direction).
double	RealFunctionWithSingleArgument (double x)
	Delegate for computing integrals of real functions from ℝ to ℝ;
VectorD	RealVectorDFunction (double x, double y)
	This is intended for callbacks to a function from ℝ² to ℝ².

Enumeration Type Documentation

AxisDirection

enum AxisDirection

These enum flags are used to indicate different directions.

Enumerator
X	If this flag is set it indicates a x-direction.
Y	If this flag is set it indicates a y-direction.
Z	If this flag is set it indicates a z-direction.

ComplexPart

enum ComplexPart

This enum lists actions a function can perform on the ComplexPart of a Complex number like extracting, shifting and swapping.

Enumerator
ExtractPhase	Sets the amplitude to one.
ExtractAmplitude	Extract amplitude and move it to real part. Real part is set to zero.
ExtractImaginary	Extract the imaginary part by setting real part to zero.
ExtractReal	Extract real part by setting imaginary part to zero.
ExtractSquaredAmplitude	Extract squared amplitude and shift it to real part.
ShiftRealToPhase	// Extract squared norm (the amplitude to the power of 4) and shift it to real part. // Shift real part to phase part. Amplitude is set to one.
ShiftImaginaryToReal	Shift imaginary part to real part. Imaginary part is set to zero.
ShiftRealToImaginary	Shift real part to imaginary part. Real part is set to zero.
ShiftPhaseToReal	Shift phase to real part. Imaginary part is set to zero.
SwapRealImaginary	Swap real and imaginary part.
NoChangings	Do nothing.

ComplexToStringConversionFormat

enum ComplexToStringConversionFormat

Output formats which are supported by the Complex.ToString() method and by the Complex.Parse() method.

Enumerator
RealImaginary	Complex Number Representation of Real and Imaginary part: {Real} + i{Imaginary}.
AmplitudePhase	Complex Number Representation of Amplitude and Phase: {Amplitude} \(\cdot\) exp(i \(\cdot\){Phase})
PTF	The format as used for PTF export: ({Real}, {Imaginary})
Matlab	The format used by MATLAB: {Real}+{Imaginary}i.

DirectionDefinitionType

enum DirectionDefinitionType

This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
Enum for different types of definition for directions

Enumerator
Vector	Direction is defined by a direction vector.
SphericalAngles	Direction is defined by inclining a reference vector using the sphere angles phi and theta.
DirectionAngles	Direction is defined by inclining a reference vector using the directions angles rho, sigma, and tau.
CartesianAngles	Direction is defined by inclining a reference vector using the Cartesian angles alpha and beta.
AxisRotationSequence	Direction is defined by inclining a reference vector using a sequence of rotations about the coordinate axes.
RotationMatrix	Direction is defined by inclining a reference vector using a rotation matrix.

ExtrapolationType

enum ExtrapolationType

This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
Enum for the mode of extrapolation, applied to a ComplexField if coordinates outside its definition area are needed.

Enumerator
Constant	All values outside of the domain of definition have a fix, constant value.
BorderContinuation	Each value outside of the domain of definition has the value of its closest border point.
Periodic	The data are periodic.

FieldQuantity

enum FieldQuantity

Enumerator containing the distinct components of a Complex number.

Enumerator
RealPart	Real part.
ImaginaryPart	Imaginary part.
Amplitude	Amplitude ( \(\sqrt{Re(x)^2 + Im(x)^2}\)).
Phase	Phase.
SquaredAmplitude	Squared Amplitude ( \(Re(x)^2 + Im(x)^2\)).
SummedSquaredAmplitudes	Squared Sum of Amplitudes ( \(|E_x|^2 + |E_y|^2\)).

IndependentDirectionAngles

enum IndependentDirectionAngles

This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
Enum to differentiate possible combinations of independent direction angles.

Enumerator
RhoSigma	The direction angles rho and sigma are independent, tau is calculated by \(\arccos(\sqrt{1 - \cos^2 \rho + \cos^2 \sigma})\).
SigmaTau	The direction angles sigma and tau are independent, rho is calculated by \(\arccos(\sqrt{1 - \cos^2 \sigma + \cos^2 \tau})\).
TauRho	The direction angles tau and rho are independent, sigma is calculated by \(\arccos(\sqrt{1 - \cos^2 \tau + \cos^2 \rho})\).

InterpolationMethod

enum InterpolationMethod

This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
Enumeration of constants for different interpolation types. (See manual for details)

Enumerator
SincFFT	FFT based sinc interpolation.
SincPointwise	Pointwise sinc interpolation.
TruncatedSinc	Truncated sinc interpolation.
Linear_AmplitudeAndPhase	Linear interpolation. Phase and amplitude interpolated separately.
Nearest	Nearest neighbour interpolation.
Cubic4P	Cubic 4 point interpolation.
Cubic6P	Cubic 6 point interpolation.
Cubic8P	Cubic 8 Point interpolation.
WindowedSinc	Windowed sinc interpolation.
Combined	Combines windowed sinc interpolation and cubic 4 point interpolation.
AcceleratedSinc	Sinc Refinement, possibly after region extraction with a guarding frame, then Cubic 8P.
Linear_RealAndImaginaryPart	Linear interpolation. Real part and imaginary part interpolated separately.

InterpolationMethodForNonequidistantData

enum InterpolationMethodForNonequidistantData

This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
Enum for the different methods of interpolation for non equidistant data

Enumerator
ConstantInterval	Assume constant values from one data point's coordinate to the next point's coordinate. For this method the data are assumed to be constant in each interval which is given by [coordinate(i), coordinate(i+1)[, where i is the data point index. So the width of the last interval has to be defined separately by [coordinate(NoOfDataPoints-1), CoordinateOfLastIntervalsUpperLimit[.
LinearOnRealAndImaginaryPart	Linear interpolation (on real and imaginary part) between two data point's coordinates.
LinearOnAmplitudeAndPhase	Linear interpolation (on amplitude and phase) between two data point's coordinates.

OrientationDefinitionType

enum OrientationDefinitionType

This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
Enum for different types of definition for rotations of vectors, planes or solids

Enumerator
SphericalAngles	Orientation is defined by the sphere angles phi and theta, completed by zeta. This corresponds to using an object of type OrientationBySphereAngles.
DirectionAngles	Orientation is defined by the directions angles alpha, beta, and gamma, completed by zeta. This corresponds to using an object of type OrientationByDirectionAngles.
CartesianAngles	Orientation is defined by the Cartesian angles alpha and beta, completed by zeta. This corresponds to using an object of type OrientationByCartesianAngles.
EulerAngles	Orientation is defined by the Euler angles phi, psi, and theta. This corresponds to using an object of type OrientationByEulerAngles.
AxisRotationSequence	Orientation is defined by a sequence of rotations about the coordinate axes. This corresponds to using an object of type AxisRotationSequence.
RotationMatrix	Orientation is defined by a rotation matrix. This corresponds to using an object of type OrientationByMatrix.

PhysicalProperty

enum PhysicalProperty

Supported physical units.

Enumerator
NoUnit	No physical unit.
Length	Length units. Default unit is meter (m).
AngleRad	Angular units. Default unit is radians (rad).
AngleDeg	Angular units. Default unit is °.
Time	Time units. Default unit is second (s).
WaveNumber	Wave number units. Default unit is 1/m.
AbsorptionCoefficient	Absorption Coefficient. Default unit is 1/m.
Percentage	Value given in percent.
Power	Power units. Default unit is watt (W).
ElectricalField	Electrical field. Default unit is V/m.
TemporalFrequency	Temporal Frequency. Default unit is hertz (Hz).
PowerPerArea	Power per area.
PowerPerVolume	Power per volume.
AreaPerEnergy	Area per Energy.
VolumePerEnergy	Volume per Energy.
AreaPerEnergySquared	(Area per Energy)²
VolumePerEnergySquared	(Volume per Energy)²
EnergyPerArea	Energy per area.
EnergyPerVolume	Energy per volume.
PowerPerSolidAngle	Power per Solid Angle.
PowerPerSolidAngleAndArea	Power per Solid Angle and per Area.
Illuminance	Illuminance = Luminous Flux per Area (1 lx = 1 lm / m² = 1 cd ⋅ sr / m²)
Luminance	Luminance = Luminous Flux per Solid Angle and Area (1 lm / (1 sr ⋅ 1 m²) = 1 cd / 1 m²)
LuminousIntensity	Luminous Intensity = Luminous Flux per Solid Angle (1 cd = 1 lm / 1 sr)
ArbitraryUnit	Arbitrary Unit; used for unspecified units.
LogarithmicLevel	Logarithmic level \(\log\frac{P_2}{P_1}\) in decibels.
ElectricFieldStrengthSquared	Squared electric field strength. Default unit is V²/m².
MagneticFieldStrength	Magnetic field strength. Default unit is A/m.
MagneticFieldStrengthSquared	Squared magnetic field strength. Default unit is A²/m².
PowerPerAreaSquared	Power per Area Squared.
PerVolume	Density (objects per volume unit). Default unit is 1/m³.
Energy	Energy. Default unit is eV.
Temperature	Temperature. Default unit is degree centigrade (°C).
Pressure	Pressure. Default unit is pascal (Pa).
ResolvingCapacity	The line density in cycles per millimeter.
ElectricFieldStrengthSpectral	Electric field strength for spectral fields. Default unit is V⋅m.
MagneticFieldStrengthSpectral	Magnetic field strength for spectral fields. Default unit is A⋅m.
ElectricFieldStrengthSpectralSquared	Squared electric field strength for spectral fields. Default unit is (V⋅m)².
MagneticFieldStrengthSpectralSquared	Squared magnetic field strength for spectral fields. Default unit is (A⋅m)².
SpectralRadiantFlux	Spectral Radiant Flux.
SpectralRadiantEnergyDensity	Spectral Radiant Energy Density.
SpectralRadiantIntensity	Spectral Radiant Intensity.
LuminousEnergyDensity	Luminous Energy Density.
EnergyJoule	Energy. Default unit is J.
LuminousFlux	Luminous Flux.
SpectralRadiantEnergy	Spectral (Radiant) Energy.
LuminousEnergy	Luminous Energy.
Information_Binary	The measured quantity "information" (with binary units like mebibytes used as output).
Information_Decimal	The measured quantity "information" (with decimal units like megabytes used as output).
TemperatureKelvin	The measured quantity "temperature" using kelvins as base unit.
UserDefined	A user-defined measured quantity.

PositionRelationOfGeometricalObjects

enum PositionRelationOfGeometricalObjects

This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
Enum for the types of position relations of lines and planes

Enumerator
Parallel	Two lines, two planes or a line and a plane are parallel.
Intersecting	Two lines, two planes or a line and a plane intersect, but are not in a containedness relation.
Containedness	Two lines or two planes are identical, or a line is contained in a plane.
SkewLines	Two lines do not intersect and are not parallel.

PrecisionMode

enum PrecisionMode

This enumerator lists precisions of the internal complex number representation of the ComplexField class supported by VirtualLab. Different internal representations are used to save computer memory and to increase the calculation speed in case of calculations that need not such a high accuracy.

Enumerator
Double	64bit floating point precision representation.
Float	32bit floating point precision representation.
Short	16bit integer precision representation.
Long	64bit integer precision representation.

RotationAxisOrAngleName

enum RotationAxisOrAngleName

This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
Enum for all kinds of angles that are to be used within classes implementing IOrientationDefinition.

Enumerator
EulerAnglePhi	Euler angle phi.
EulerAngleTheta	Euler angle theta.
EulerAnglePsi	Euler angle psi.
SphereAnglePhi	Spherical angle phi.
SphereAngleTheta	Spherical angle theta.
DirectionAngleRho	Direction angle rho.
DirectionAngleSigma	Direction angle sigma.
DirectionAngleTau	Direction angle tau.
CartesianAngleAlpha	Cartesian angle alpha.
CartesianAngleBeta	Cartesian angle beta.
AxisRotationX	Angle for rotation about the x-axis.
AxisRotationY	Angle for rotation about the y-axis.
AxisRotationZ	Angle for rotation about the z-axis.

Function Documentation

BivariateFunction()

double[] BivariateFunction	(	double	parameter1,
		double	parameter2
	)

Delegate for a real valued function(s) which depend(s) on two variables.

Parameters

parameter1	First independent variable.
parameter2	Second independent variable.

Returns

The real valued value(s) of the function for the parameters 1 and 2.

ComplexFunction()

Complex ComplexFunction	(	double	x,
		double	y
	)

This is intended for callbacks to a function from ℝ² to ℂ.

Parameters

x	The x-coordinate.
y	The y-coordinate.

Returns

The complex-valued result at the given position.

RealFunction()

double RealFunction	(	double	x,
		double	y
	)

This is intended for callbacks to a function from ℝ² to ℝ.

Parameters

x	The x-coordinate.
y	The y-coordinate.

Returns

The result at the given position.

RealFunctionIntersection()

double RealFunctionIntersection	(	Vector3D	startPosition,
		Vector3D	direction,
		double	distanceOnRay
	)

Delegate for a function which returns a real value (distance to surface) for a specific distance on the ray (starting at the start position with the given direction).

Parameters

startPosition	The 3D start position
direction	The 3D direction
distanceOnRay	The distance on the ray.

Returns

function value from start point in direction.

RealFunctionWithSingleArgument()

double RealFunctionWithSingleArgument

(

double

x

)

Delegate for computing integrals of real functions from ℝ to ℝ;

Parameters

x

abscissa

Returns

function value from abscissa

RealVectorDFunction()

VectorD RealVectorDFunction	(	double	x,
		double	y
	)

This is intended for callbacks to a function from ℝ² to ℝ².

Parameters

x	The x-coordinate.
y	The y-coordinate.

Returns

The two-dimensional result at the given position.