Complex.Log Method
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Returns the logarithm of a complex number.
| Log(Complex) |
Returns the natural (base |
| Log(Complex, Double) |
Returns the logarithm of a specified complex number in a specified base. |
- Source:
- Complex.cs
- Source:
- Complex.cs
- Source:
- Complex.cs
Returns the natural (base e) logarithm of a specified complex number.
public:
static System::Numerics::Complex Log(System::Numerics::Complex value);public static System.Numerics.Complex Log(System.Numerics.Complex value);static member Log : System.Numerics.Complex -> System.Numerics.ComplexPublic Shared Function Log (value As Complex) As ComplexParameters
- value
- Complex
A complex number.
Returns
The natural (base e) logarithm of value.
Examples
The following example illustrates the Log method. It shows that, with some allowance for the lack of precision of the Double data type, passing the value returned by the Log method to the Exp method returns the original Complex value.
using System;
using System.Numerics;
public class Example
{
public static void Main()
{
Complex[] values = { new Complex(1.53, 9.26),
new Complex(2.53, -8.12),
new Complex(-2.81, 5.32),
new Complex(-1.09, -3.43),
new Complex(Double.MinValue/2, Double.MinValue/2) };
foreach (Complex value in values)
Console.WriteLine("Exp(Log({0}) = {1}", value,
Complex.Exp(Complex.Log(value)));
}
}
// The example displays the following output:
// Exp(Log((1.53, 9.26)) = (1.53, 9.26)
// Exp(Log((2.53, -8.12)) = (2.53, -8.12)
// Exp(Log((-2.81, 5.32)) = (-2.81, 5.32)
// Exp(Log((-1.09, -3.43)) = (-1.09, -3.43)
// Exp(Log((-8.98846567431158E+307, -8.98846567431158E+307)) = (-8.98846567431161E+307, -8.98846567431161E+307)
open System
open System.Numerics
let values =
[ Complex(1.53, 9.26)
Complex(2.53, -8.12)
Complex(-2.81, 5.32)
Complex(-1.09, -3.43)
Complex(Double.MinValue / 2.0, Double.MinValue / 2.0) ]
for value in values do
printfn $"Exp(Log({value}) = {Complex.Exp(Complex.Log(value))}"
// The example displays the following output:
// Exp(Log((1.53, 9.26)) = (1.53, 9.26)
// Exp(Log((2.53, -8.12)) = (2.53, -8.12)
// Exp(Log((-2.81, 5.32)) = (-2.81, 5.32)
// Exp(Log((-1.09, -3.43)) = (-1.09, -3.43)
// Exp(Log((-8.98846567431158E+307, -8.98846567431158E+307)) = (-8.98846567431161E+307, -8.98846567431161E+307)
Imports System.Numerics
Module Example
Public Sub Main()
Dim values() As Complex = { New Complex(1.53, 9.26),
New Complex(2.53, -8.12),
New Complex(-2.81, 5.32),
New Complex(-1.09, -3.43),
New Complex(Double.MinValue/2, Double.MinValue/2) }
For Each value As Complex In values
Console.WriteLine("Exp(Log({0}) = {1}", value,
Complex.Exp(Complex.Log(value)))
Next
End Sub
End Module
' The example displays the following output:
' Exp(Log((1.53, 9.26)) = (1.53, 9.26)
' Exp(Log((2.53, -8.12)) = (2.53, -8.12)
' Exp(Log((-2.81, 5.32)) = (-2.81, 5.32)
' Exp(Log((-1.09, -3.43)) = (-1.09, -3.43)
' Exp(Log((-8.98846567431158E+307, -8.98846567431158E+307)) = (-8.98846567431161E+307, -8.98846567431161E+307)
Remarks
The Log(Complex) method for complex numbers corresponds to the Math.Log(Double) method for real numbers.
See also
Applies to
.NET 10 and other versions
| Product | Versions |
|---|---|
| .NET | Core 1.0, Core 1.1, Core 2.0, Core 2.1, Core 2.2, Core 3.0, Core 3.1, 5, 6, 7, 8, 9, 10 |
| .NET Framework | 4.0, 4.5, 4.5.1, 4.5.2, 4.6, 4.6.1, 4.6.2, 4.7, 4.7.1, 4.7.2, 4.8, 4.8.1 |
| .NET Standard | 1.1, 1.2, 1.3, 1.4, 1.6, 2.0, 2.1 |
| UWP | 10.0 |
- Source:
- Complex.cs
- Source:
- Complex.cs
- Source:
- Complex.cs
Returns the logarithm of a specified complex number in a specified base.
public:
static System::Numerics::Complex Log(System::Numerics::Complex value, double baseValue);public static System.Numerics.Complex Log(System.Numerics.Complex value, double baseValue);static member Log : System.Numerics.Complex * double -> System.Numerics.ComplexPublic Shared Function Log (value As Complex, baseValue As Double) As ComplexParameters
- value
- Complex
A complex number.
- baseValue
- Double
The base of the logarithm.
Returns
The logarithm of value in base baseValue.
Remarks
The Log(Complex, Double) method for complex numbers corresponds to the Math.Log(Double, Double) method for real numbers.
Applies to
.NET 10 and other versions
| Product | Versions |
|---|---|
| .NET | Core 1.0, Core 1.1, Core 2.0, Core 2.1, Core 2.2, Core 3.0, Core 3.1, 5, 6, 7, 8, 9, 10 |
| .NET Framework | 4.0, 4.5, 4.5.1, 4.5.2, 4.6, 4.6.1, 4.6.2, 4.7, 4.7.1, 4.7.2, 4.8, 4.8.1 |
| .NET Standard | 1.1, 1.2, 1.3, 1.4, 1.6, 2.0, 2.1 |
| UWP | 10.0 |
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