Complex |
Various mathematical functions for complex numbers.
Inheritance HierarchyNamespace: Altaxo.Calc
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public static class ComplexMath
The ComplexMath type exposes the following members.
Methods| Name | Description | |
|---|---|---|
  | Abs | The absolute value (modulus) of complex number. |
| Abs2 | The squared modulus (length^2) of the complex number |
| Absolute(Complex) | Return the absolute value of a complex type calculated as the euclidean norm |
| Absolute(Complex32) | Return the absolute value of a complex type calculated as the euclidean norm |
| Acos(Complex) | This function returns the complex arccosine of the complex number a, arccos(a). The branch cuts are on the real axis, less than -1 and greater than 1. |
| Acos(Complex32) | This function returns the complex arccosine of the complex number a, arccos(a). The branch cuts are on the real axis, less than -1 and greater than 1. |
| Acos(Double) | This function returns the complex arccosine of the real number a, arccos(a). |
| Acosh(Complex) | This function returns the complex hyperbolic arccosine of the complex number a, arccosh(a). The branch cut is on the real axis, less than 1. |
| Acosh(Complex32) | This function returns the complex hyperbolic arccosine of the complex number a, arccosh(a). The branch cut is on the real axis, less than 1. |
| Acosh(Double) | This function returns the complex hyperbolic arccosine of the real number a, arccosh(a). |
| Acot | This function returns the complex arccotangent of the complex number a, arccot(a) = arctan(1/a). |
| Acoth | This function returns the complex hyperbolic arccotangent of the complex number a, arccoth(a) = arctanh(1/a). |
| Acsc(Complex) | This function returns the complex arccosecant of the complex number a, arccsc(a) = arcsin(1/a). |
| Acsc(Double) | This function returns the complex arccosecant of the real number a, arccsc(a) = arcsin(1/a). |
| Acsch | This function returns the complex hyperbolic arccosecant of the complex number a, arccsch(a) = arcsin(1/a). |
| Arg(Complex) | The argument value (also called phase) of a complex number. |
| Arg(Complex32) | The argument value (also called phase) of a complex number. |
| Argument(Complex) | Calculate the complex argument of a complex type. Also commonly refered to as the phase. |
| Argument(Complex32) | Calculate the complex argument of a complex type. Also commonly refered to as the phase. |
| Argument2(Complex) | Calculate the 2-argument of a complex type. |
| Argument2(Complex32) | Calculate the 2-argument of a complex type. |
| Asec(Complex) | This function returns the complex arcsecant of the complex number a, arcsec(a) = arccos(1/a). |
| Asec(Double) | This function returns the complex arcsecant of the real number a, arcsec(a) = arccos(1/a). |
| Asech | This function returns the complex hyperbolic arcsecant of the complex number a, arcsech(a) = arccosh(1/a). |
| Asin(Complex) | This function returns the complex arcsine of the complex number a, arcsin(a)}. The branch cuts are on the real axis, less than -1 and greater than 1. |
| Asin(Complex32) | This function returns the complex arcsine of the complex number a, arcsin(a)}. The branch cuts are on the real axis, less than -1 and greater than 1. |
| Asin(Double) | This function returns the complex arcsine of the real number a, arcsin(a). |
| Asinh(Complex) | This function returns the complex hyperbolic arcsine of the complex number a, arcsinh(a). The branch cuts are on the imaginary axis, below -i and above i. |
| Asinh(Complex32) | This function returns the complex hyperbolic arcsine of the complex number a, arcsinh(a). The branch cuts are on the imaginary axis, below -i and above i. |
| Atan(Complex) | This function returns the complex arctangent of the complex number a, arctan(a)}. The branch cuts are on the imaginary axis, below -i and above i . |
| Atan(Complex32) | This function returns the complex arctangent of the complex number a, arctan(a)}. The branch cuts are on the imaginary axis, below -i and above i . |
| Atanh(Complex) | This function returns the complex hyperbolic arctangent of the complex number a, arctanh(a). The branch cuts are on the real axis, less than -1 and greater than 1. |
| Atanh(Complex32) | This function returns the complex hyperbolic arctangent of the complex number a, arctanh(a). The branch cuts are on the real axis, less than -1 and greater than 1. |
| Atanh(Double) | This function returns the complex hyperbolic arctangent of the real number a, arctanh(a). |
| Conjugate(Complex) | Return the complex conjugate of a complex type |
| Conjugate(Complex32) | Return the complex conjugate of a complex type |
| Cos(Complex) | Returns the cosine of the specified complex function argument z. |
| Cos(Complex32) | Returns the cosine of the specified complex function argument z. |
| Cosh(Complex) | This function returns the complex hyperbolic cosine of the complex number a, cosh(a) = (exp(a) + exp(-z))/2. |
| Cosh(Complex32) | This function returns the complex hyperbolic cosine of the complex number a, cosh(a) = (exp(a) + exp(-z))/2. |
| Cot | Returns the complex cotangent of the complex number z, i.e. 1/Sin(z). |
| Coth | This function returns the complex hyperbolic cotangent of the complex number a, coth(a) = 1/tanh(a)}. |
| Csc | Returns the complex cosecant of the complex number z, i.e. 1/Sin(z). |
| Csch | This function returns the complex hyperbolic cosecant of the complex number a, csch(a) = 1/sinh(a)}. |
| Exp(Complex) | Returns the exponential function of the complex function argument. |
| Exp(Complex32) | Returns the exponential function of the complex function argument. |
| Inverse | Returns the inverse of the argument z, i.e. 1/z |
| Log(Complex) | Returns the natural (base e) logarithm of the complex function argument. |
| Log(Complex32) | Returns the natural (base e) logarithm of the complex function argument. |
| Log10 | Returns the base 10 logarithm of the complex function argument. |
| LogAbs | Return log |z|. |
| Max(Complex, Complex) | Given two complex types return the one with the maximum norm |
| Max(Complex32, Complex32) | Given two complex types return the one with the maximum norm |
| MultiplyImaginaryNumber | This function returns the product of the complex number a and the imaginary number iy, z=a*(iy). |
| MultiplyRealNumber | This function returns the product of the complex number a and the real number x, z=ax. |
| Norm(Complex) | Return the euclidean norm of a complex type |
| Norm(Complex32) | Return the euclidean norm of a complex type |
| Polar(Complex) | Return the polar representation of a complex type |
| Polar(Complex32) | Return the polar representation of a complex type |
| Polar(Double, Double) | Create a complex number from a modulus (length) and an argument (radian) |
| Pow(Complex, Double) | Calculate the power of a complex number. |
| Pow(Complex, Int32) | Calculates x^n by repeated multiplications. The algorithm takes ld(n) multiplications. This algorithm can also be used with negative n. |
| Pow(Complex, Complex) | Returns a specified (complex valued) number raised to the specified (complex valued) power. |
| Pow(Complex32, Double) | Calculate the power of a complex number |
| Pow(Double, Complex) | Returns a specified (real valued) number raised to the specified (complex valued) power. |
| Pow2 | Returns the square of the complex number. |
| Pow3 | Returns the 3rd power of the complex number. |
 | Pow4 | |
| Pow5 | |
| Pow6 | |
| Pow7 | |
| Pow8 | |
| Pow9 | |
| Sec | Returns the complex secant of the argument z, i.e. 1/Cos(z) |
| Sech | This function returns the complex hyperbolic secant of the complex number a, sech(a) = 1/cosh(a). |
| Sin(Complex) | Returns the sine of the specified complex function argument z. |
| Sin(Complex32) | Returns the sine of the specified complex function argument z. |
| Sinh(Complex) | This function returns the complex hyperbolic sine of the complex number a, sinh(a) = (exp(a) - exp(-a))/2. |
| Sinh(Complex32) | This function returns the complex hyperbolic sine of the complex number a, sinh(a) = (exp(a) - exp(-a))/2. |
| Sqrt(Complex) | Calculate the square root of the complex number c. |
| Sqrt(Complex32) | Calculate the square root of the complex number c. |
| Sqrt(Double) | Calculate the square root of the real number x. |
| Swap(Complex, Complex) | Swap two complex numbers |
| Swap(Complex32, Complex32) | Swap two complex numbers |
| Tan(Complex) | Returns the tangent of the specified complex function argument z. |
| Tan(Complex32) | Returns the tangent of the specified complex function argument z. |
| Tanh(Complex) | This function returns the complex hyperbolic tangent of the complex number a, tanh(a) = sinh(a)/cosh(a). |
| Tanh(Complex32) | This function returns the complex hyperbolic tangent of the complex number a, tanh(a) = sinh(a)/cosh(a). |
See Also