Complex Structure |
This structure implements complex number calculations.
Inheritance HierarchyNamespace: RelaxIS_SDK.libMath
Assembly: RelaxIS SDK (in RelaxIS SDK.dll) Version: 3.0.23.63
SyntaxThe Complex type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | Complex(Complex) | Creates a new instance of the Complex structure. |
| Complex(Double) | Creates a new instance of the Complex structure. |
| Complex(Double, Double) | Creates a new instance of the Complex structure. |
Properties| Name | Description | |
|---|---|---|
 | Argument | The argument of the complex number, aka Atan2(Im/Re) |
 | ComplexE | Defines E in the context of the complex structure |
| ComplexInfinity | Defines an infinitly high complex number |
| ComplexPI | Defines PI in the context of the complex structure |
| Imaginary | The imaginary value of the complex number |
| ImaginaryOne | Defines the imaginary number in the context of the complex structure Equivalent to Complex.I |
| Magnitude | The magnitude of the complex number, aka (Re^2 + Im^2)^0.5 |
| Real | The real value of the complex number |
Methods| Name | Description | |
|---|---|---|
| ACosh(Complex) | Calculates the Arcus Kosinus Hyperbolicus of the complex number |
| ACosh(Double) | Calculates the Arcus Kosinus Hyperbolicus of the real number |
| Add(Complex, Complex) | Calculates the sum of the two numbers |
| Add(Complex, Double) | Calculates the sum of the two numbers |
| Add(Double, Complex) | Calculates the sum of the two numbers |
| ArcCos(Complex) | Calculates the Arcus Kosinus of the complex number |
| ArcCos(Double) | Calculates the Arcus Kosinus of the real number |
| ArcSin(Complex) | Calculates the Arcus Sinus of the complex number |
| ArcSin(Double) | Calculates the Arcus Sinus of the real number |
| ArcTan(Complex) | Calculates the Arcus Tangens of the complex number |
| ArcTan(Double) | Calculates the Arcus Tangens of the real number |
| Arg | Calculates the argument of the complex number |
| ASinh(Complex) | Calculates the Arcus Sinus Hyperbolicus of the complex number |
| ASinh(Double) | Calculates the Arcus Sinus Hyperbolicus of the real number |
| ATanh(Complex) | Calculates the Arcus Tangens Hyperbolicus of the complex number |
| ATanh(Double) | Calculates the Arcus Tangens Hyperbolicus of the real number |
| Cos(Complex) | Calculates the Cosinus of the complex number |
| Cos(Double) | Calculates the Cosinus of the real number |
| Cosh(Complex) | Calculates the Kosinus Hyperbolicus of the complex number |
| Cosh(Double) | Calculates the Kosinus Hyperbolicus of the real number |
| Coth(Complex) | Calculates the Cotangens Hyperbolicus of the complex number |
| Coth(Double) | Calculates the Cotangens Hyperbolicus of the real number |
| Divide(Complex, Complex) | Calculates the quotient of the two numbers |
| Divide(Complex, Double) | Calculates the quotient of the two numbers |
| Divide(Double, Complex) | Calculates the quotient of the two numbers |
| Exp(Complex) | Calculates the exponential function of the complex number (E^c) |
| Exp(Double) | Calculates the exponential function of the real number (E^d) |
| FromMagAndArg | Creates a new instance of the Complex structure from Magnitude and Argument |
| IsInfinity | Checks if the given complex number is infinity |
| Log(Complex) | Calculates the natural logarithm function of the complex number |
| Log(Double) | Calculates the natural logarithm function of the real number |
| Log10(Complex) | Calculates the base-10 logarithm function of the complex number |
| Log10(Double) | Calculates the base-10 logarithm function of the real number |
| Multiply(Complex, Complex) | Calculates the product of the two numbers |
| Multiply(Complex, Double) | Calculates the product of the two numbers |
| Multiply(Double, Complex) | Calculates the product of the two numbers |
| Pow(Complex, Complex) | Calculates the first number to the power of the second number |
| Pow(Complex, Double) | Calculates the first number to the power of the second number |
| Pow(Double, Complex) | Calculates the first number to the power of the second number |
| Pow(Double, Double) | Calculates the first number to the power of the second number |
| Sin(Complex) | Calculates the Sinus of the complex number |
| Sin(Double) | Calculates the Sinus of the real number |
| Sinh(Complex) | Calculates the Sinus Hyperbolicus of the complex number |
| Sinh(Double) | Calculates the Sinus Hyperbolicus of the real number |
| Sqrt(Complex) | Calculates the square-root of the complex number |
| Sqrt(Double) | Calculates the square-root of the real number |
| Square | Calculates the square of the complex number |
| Subtract(Complex, Complex) | Calculates the difference of the two numbers |
| Subtract(Complex, Double) | Calculates the difference of the two numbers |
| Subtract(Double, Complex) | Calculates the difference of the two numbers |
| Tan(Complex) | Calculates the Tangens of the complex number |
| Tan(Double) | Calculates the Tangens of the real number |
| Tanh(Complex) | Calculates the Tangens Hyperbolicus of the complex number |
| Tanh(Double) | Calculates the Tangens Hyperbolicus of the real number |
| ToMathematica | Returns the complex number in a string compatible with the Wolfram Mathematica software |
| ToString |
Returns a string representation of the complex number
(Overrides ValueTypeToString) |
Operators| Name | Description | |
|---|---|---|
 | Addition(Complex, Complex) | Calculates the sum of the two numbers |
| Addition(Complex, Double) | Calculates the sum of the two numbers |
| Addition(Double, Complex) | Calculates the sum of the two numbers |
| Division(Complex, Complex) | Calculates the quotient of the two numbers |
| Division(Complex, Double) | Calculates the quotient of the two numbers |
| Division(Double, Complex) | Calculates the quotient of the two numbers |
| Exponent(Complex, Complex) | Calculates the first number to the power of the second number |
| Exponent(Complex, Double) | Calculates the first number to the power of the second number |
| Exponent(Double, Complex) | Calculates the first number to the power of the second number |
| (Double to Complex) | Converts the given double value into a complex value by setting the Real part to the value and imaginary part to zero |
| Multiply(Complex, Complex) | Calculates the product of the two numbers |
| Multiply(Complex, Double) | Calculates the product of the two numbers |
| Multiply(Double, Complex) | Calculates the product of the two numbers |
| Subtraction(Complex, Complex) | Calculates the difference of the two numbers |
| Subtraction(Complex, Double) | Calculates the difference of the two numbers |
| Subtraction(Double, Complex) | Calculates the difference of the two numbers |
Fields
RemarksWhile similar to the System.Numerics.Complex implementation, there is a crucial difference:
Dividing by 0 leads to +Inf instead of Ind and dividing by Inf leads to 0 instead of Ind. The reason
is, that these operations are often needed in intermediary steps for equivalent circuit calculations
and provide the correct end result, even though it is mathematically not completely sound.
The struct implements all common mathematical functions.
See Also