complex Structure

ILNumerics Ultimate VS Documentation

ILNumerics - Technical Application Development

Floating point complex value data type of double precision.

[ILNumerics Core Module]

Namespace: ILNumerics
Assembly: ILNumerics.Core (in ILNumerics.Core.dll) Version: 5.5.0.0 (5.5.7503.3146)

Syntax

[SerializableAttribute]
public struct complex : IEquatable<complex>

<SerializableAttribute>
Public Structure complex
	Implements IEquatable(Of complex)

Dim instance As complex

The complex type exposes the following members.

Constructors

	Name	Description
	complex	Constructor creating a new complex value [ILNumerics Core Module]

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Properties

	Name	Description
	conj	Returns the complex conjugate of this complex number. [ILNumerics Core Module]
	INF	Obsolete. Positive infinity for real and imag part of complex value [ILNumerics Core Module]
	NaN	Complex quantity, marked as being "not a number" [ILNumerics Core Module]
	PositiveInfinity	Positive infinity for real and imag part of complex value [ILNumerics Core Module]
	Zero	New complex, real and imaginary parts are zero [ILNumerics Core Module]

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Methods

	Name	Description
	Abs	Magnitude of this complex instance [ILNumerics Core Module]
	Abs(complex)	Absolute value of input [ILNumerics Core Module]
	Acos	Arcus cosinus of this complex instance [ILNumerics Core Module]
	Acos(Double)	Arcus cosinus of input [ILNumerics Core Module]
	Acos(complex)	Arcus cosinus of complex input [ILNumerics Core Module]
	Angle	Phase of this complex instance [ILNumerics Core Module]
	Angle(complex)	Phase angle of complex number [ILNumerics Core Module]
	Asin	Arcus sinus of this complex instance [ILNumerics Core Module]
	Asin(Double)	Arcus sinus of complex input [ILNumerics Core Module]
	Asin(complex)	Arcus sinus of input [ILNumerics Core Module]
	Atan	Arcus tangens of complex input [ILNumerics Core Module]
	Ceiling	Round towards positive infinity [ILNumerics Core Module]
	Conjugate	Conjugates this complex number inplace. [ILNumerics Core Module]
	Conjugate(complex)	Creates the complex conjugate of the complex value a. [ILNumerics Core Module]
	Cos	Cosinus [ILNumerics Core Module]
	Cosh	Cosinus hyperbolicus [ILNumerics Core Module]
	Equals(Object)	Are obj's real and imaginary part identical to the real and imaginary parts of this fcomplex [ILNumerics Core Module] (Overrides ValueTypeEquals(Object).)
	Equals(complex)	Check if a complex number equals this complex number [ILNumerics Core Module]
	Exp	Exponential / power of base e [ILNumerics Core Module]
	Exp(complex)	Complex exponent [ILNumerics Core Module]
	Floor	Round towards negative infinity [ILNumerics Core Module]
	FromPol	Convert polar notation into cartesian notation [ILNumerics Core Module]
	GetHashCode	Hash code of this comples [ILNumerics Core Module] (Overrides ValueTypeGetHashCode.)
	IsFinite	Test if any of real or imaginary parts are finite [ILNumerics Core Module]
	IsInfinity	Test if any of real or imaginary parts are infinite [ILNumerics Core Module]
	IsNaN	Test if any of real or imaginary parts are NAN's [ILNumerics Core Module]
	IsNegativeInfinity	Test if any of real or imaginary parts are neg. infinite [ILNumerics Core Module]
	IsPositiveInfinity	Test if any of real or imaginary parts are pos.nfinite [ILNumerics Core Module]
	iszero	Test if both of real or imaginary parts are 0 [ILNumerics Core Module]
	Log	Logarithm of base e [ILNumerics Core Module]
	Log(Double)	Logarithm of real input [ILNumerics Core Module]
	Log(complex)	Complex logarithm [ILNumerics Core Module]
	Log10(Double)	Logarithm of base 10 of real input [ILNumerics Core Module]
	Log10(complex)	Logarithm of base 10 [ILNumerics Core Module]
	Log2(Double)	Logarithm of base 2 of real input [ILNumerics Core Module]
	Log2(complex)	Logarithm of base 2 [ILNumerics Core Module]
	Parse	Converts the string text containing a complex number into the complex number. [ILNumerics Core Module]
	Partition	Splits a string assumed to contain a complex number into real and imaginary parts. Removes 'i' identifiers. [ILNumerics Core Module]
	Pow(Double)	Complex power real exponent [ILNumerics Core Module]
	Pow(complex)	Complex power - complex exponent [ILNumerics Core Module]
	Pow(Double, Double)	Complex power - real basis, real exponent [ILNumerics Core Module]
	Pow(complex, complex)	Complex power - complex exponent [ILNumerics Core Module]
	Pow(complex, Double)	Complex power for real exponent [ILNumerics Core Module]
	Round(complex)	Rounds towards nearest integer. [ILNumerics Core Module]
	Round(complex, Int32)	Rounds to a specified number of fractional digits. [ILNumerics Core Module]
	Sign	Signum function [ILNumerics Core Module]
	Sin	Sinus [ILNumerics Core Module]
	Sinh	Sinus hyperbolicus [ILNumerics Core Module]
	Sqrt	Square root of this complex value [ILNumerics Core Module]
	Sqrt(Double)	Square root [ILNumerics Core Module]
	Sqrt(complex)	Square root [ILNumerics Core Module]
	Tan	Tangens [ILNumerics Core Module]
	Tanh	Tangens hyperbolicus [ILNumerics Core Module]
	ToString	Convert this complex number into a string representation. [ILNumerics Core Module] (Overrides ValueTypeToString.)
	Truncate	Truncate a floating point complex value [ILNumerics Core Module]

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Operators

	Name	Description
	Addition(Byte, complex)	Add two complex values [ILNumerics Core Module]
	Addition(Double, complex)	Add two complex values [ILNumerics Core Module]
	Addition(Int32, complex)	Add two complex values [ILNumerics Core Module]
	Addition(Int64, complex)	Add two complex values [ILNumerics Core Module]
	Addition(Single, complex)	Add two complex values [ILNumerics Core Module]
	Addition(complex, complex)	Add two complex numbers [ILNumerics Core Module]
	Addition(complex, fcomplex)	Add two complex numbers [ILNumerics Core Module]
	Addition(complex, Byte)	Add two complex numbers [ILNumerics Core Module]
	Addition(complex, Double)	Add two complex numbers [ILNumerics Core Module]
	Addition(complex, Int32)	Add two complex numbers [ILNumerics Core Module]
	Addition(complex, Int64)	Add two complex numbers [ILNumerics Core Module]
	Addition(complex, Single)	Add two complex numbers [ILNumerics Core Module]
	Division(Byte, complex)	Divide two values [ILNumerics Core Module]
	Division(Double, complex)	Divide two values [ILNumerics Core Module]
	Division(Int32, complex)	Divide two values [ILNumerics Core Module]
	Division(Int64, complex)	Divide two values [ILNumerics Core Module]
	Division(Single, complex)	Divide two values [ILNumerics Core Module]
	Division(complex, complex)	Divide two numbers [ILNumerics Core Module]
	Division(complex, fcomplex)	Divide two numbers [ILNumerics Core Module]
	Division(complex, Byte)	Divide two numbers [ILNumerics Core Module]
	Division(complex, Double)	Divide two numbers [ILNumerics Core Module]
	Division(complex, Int32)	Divide two numbers [ILNumerics Core Module]
	Division(complex, Int64)	Divide two numbers [ILNumerics Core Module]
	Division(complex, Single)	Divide two numbers [ILNumerics Core Module]
	Equality(Byte, complex)	Equality comparison for complex numbers [ILNumerics Core Module]
	Equality(Double, complex)	Equality comparison for complex numbers [ILNumerics Core Module]
	Equality(Int32, complex)	Equality comparison for complex numbers [ILNumerics Core Module]
	Equality(Int64, complex)	Equality comparison for complex numbers [ILNumerics Core Module]
	Equality(Single, complex)	Equality comparison for complex numbers [ILNumerics Core Module]
	Equality(complex, complex)	Equality comparison for complex numbers [ILNumerics Core Module]
	Equality(complex, fcomplex)	Equality comparison for complex numbers [ILNumerics Core Module]
	Equality(complex, Byte)	Equality comparison for complex numbers [ILNumerics Core Module]
	Equality(complex, Double)	Equality comparison for complex numbers [ILNumerics Core Module]
	Equality(complex, Int32)	Equality comparison for complex numbers [ILNumerics Core Module]
	Equality(complex, Int64)	Equality comparison for complex numbers [ILNumerics Core Module]
	Equality(complex, Single)	Equality comparison for complex numbers [ILNumerics Core Module]
	(complex to Double)	Cast value from complex number [ILNumerics Core Module]
	(complex to Single)	Cast value from complex number [ILNumerics Core Module]
	(complex to fcomplex)	Cast value from complex number [ILNumerics Core Module]
	(complex to Byte)	Cast value from complex number [ILNumerics Core Module]
	(complex to SByte)	Cast value from complex number [ILNumerics Core Module]
	(complex to Int16)	Cast value from complex number [ILNumerics Core Module]
	(complex to UInt16)	Cast value from complex number [ILNumerics Core Module]
	(complex to Int32)	Cast value from complex number [ILNumerics Core Module]
	(complex to UInt32)	Cast value from complex number [ILNumerics Core Module]
	(complex to Int64)	Cast value from complex number [ILNumerics Core Module]
	(complex to UInt64)	Cast value from complex number [ILNumerics Core Module]
	GreaterThan(Byte, complex)	Greater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThan(Double, complex)	Greater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThan(Int32, complex)	Greater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThan(Int64, complex)	Greater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThan(Single, complex)	Greater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThan(complex, complex)	Greater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThan(complex, fcomplex)	Greater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThan(complex, Byte)	Freater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThan(complex, Double)	Freater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThan(complex, Int32)	Freater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThan(complex, Int64)	Freater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThan(complex, Single)	Freater than comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(Byte, complex)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(Double, complex)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(Int32, complex)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(Int64, complex)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(Single, complex)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(complex, complex)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(complex, fcomplex)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(complex, Byte)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(complex, Double)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(complex, Int32)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(complex, Int64)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	GreaterThanOrEqual(complex, Single)	Greater than or equal to comparison for complex numbers [ILNumerics Core Module]
	(Double to complex)	Cast value to complex number [ILNumerics Core Module]
	(Complex to complex)	Implicitly converts a System.Numerics.Complex type to an ILNumerics.complex. [ILNumerics Core Module]
	(fcomplex to complex)	Cast value to complex number [ILNumerics Core Module]
	Inequality(Byte, complex)	Unequality comparison for complex numbers [ILNumerics Core Module]
	Inequality(Double, complex)	Unequality comparison for complex numbers [ILNumerics Core Module]
	Inequality(Int32, complex)	Unequality comparison for complex numbers [ILNumerics Core Module]
	Inequality(Int64, complex)	Unequality comparison for complex numbers [ILNumerics Core Module]
	Inequality(Single, complex)	Unequality comparison for complex numbers [ILNumerics Core Module]
	Inequality(complex, complex)	Unequality comparison for complex numbers [ILNumerics Core Module]
	Inequality(complex, fcomplex)	Unequality comparison for complex numbers [ILNumerics Core Module]
	Inequality(complex, Byte)	Unequality comparison for complex numbers [ILNumerics Core Module]
	Inequality(complex, Double)	Unequality comparison for complex numbers [ILNumerics Core Module]
	Inequality(complex, Int32)	Unequality comparison for complex numbers [ILNumerics Core Module]
	Inequality(complex, Int64)	Unequality comparison for complex numbers [ILNumerics Core Module]
	Inequality(complex, Single)	Unequality comparison for complex numbers [ILNumerics Core Module]
	LessThan(Byte, complex)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThan(Double, complex)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThan(Int32, complex)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThan(Int64, complex)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThan(Single, complex)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThan(complex, complex)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThan(complex, fcomplex)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThan(complex, Byte)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThan(complex, Double)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThan(complex, Int32)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThan(complex, Int64)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThan(complex, Single)	Lower than comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(Byte, complex)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(Double, complex)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(Int32, complex)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(Int64, complex)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(Single, complex)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(complex, complex)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(complex, fcomplex)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(complex, Byte)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(complex, Double)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(complex, Int32)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(complex, Int64)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	LessThanOrEqual(complex, Single)	Lower than or equal to comparison for complex numbers [ILNumerics Core Module]
	Multiply(Byte, complex)	Multiply two values [ILNumerics Core Module]
	Multiply(Double, complex)	Multiply two values [ILNumerics Core Module]
	Multiply(Int32, complex)	Multiply two values [ILNumerics Core Module]
	Multiply(Int64, complex)	Multiply two values [ILNumerics Core Module]
	Multiply(Single, complex)	Multiply two values [ILNumerics Core Module]
	Multiply(complex, complex)	Multiply two complex values [ILNumerics Core Module]
	Multiply(complex, fcomplex)	Multiply two complex values [ILNumerics Core Module]
	Multiply(complex, Byte)	Multiply two values [ILNumerics Core Module]
	Multiply(complex, Double)	Multiply two values [ILNumerics Core Module]
	Multiply(complex, Int32)	Multiply two values [ILNumerics Core Module]
	Multiply(complex, Int64)	Multiply two values [ILNumerics Core Module]
	Multiply(complex, Single)	Multiply two values [ILNumerics Core Module]
	Subtraction(Byte, complex)	Subtract two values [ILNumerics Core Module]
	Subtraction(Double, complex)	Subtract two values [ILNumerics Core Module]
	Subtraction(Int32, complex)	Subtract two values [ILNumerics Core Module]
	Subtraction(Int64, complex)	Subtract two values [ILNumerics Core Module]
	Subtraction(Single, complex)	Subtract two values [ILNumerics Core Module]
	Subtraction(complex, complex)	Subtract two complex values [ILNumerics Core Module]
	Subtraction(complex, fcomplex)	Subtract two complex values [ILNumerics Core Module]
	Subtraction(complex, Byte)	Subtract two values [ILNumerics Core Module]
	Subtraction(complex, Double)	Subtract two values [ILNumerics Core Module]
	Subtraction(complex, Int32)	Subtract two values [ILNumerics Core Module]
	Subtraction(complex, Int64)	Subtract two values [ILNumerics Core Module]
	Subtraction(complex, Single)	Subtract two values [ILNumerics Core Module]
	UnaryNegation	Unary minus operator [ILNumerics Core Module]

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Fields

	Name	Description
	i	Imaginary unit
	imag	Imaginary part of this complex number
	real	Real part of this complex number

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Remarks

This class extends the system value types for real numbers to complex double values. Besides the publicly available members 'real' and 'imag' it provides all the basic functionality floating point type system.double brings (abs, log, sqrt, tan etc.). Further it overrides basic unary and binary operators for all common system value types including rarely used types (e.g. UInt16). This includes the basic numerical operations like '+','-','/','*' and the relational operators: '==','>','>=' etc. Also, some explicit and some implicit casting operators from / to complex value into system value types exist.

[ILNumerics Core Module]

Reference

ILNumerics Namespace