Math.Pow(Double, Double) Method
Definition
Important
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Returns a specified number raised to the specified power.
public:
static double Pow(double x, double y);public static double Pow (double x, double y);static member Pow : double * double -> doublePublic Shared Function Pow (x As Double, y As Double) As DoubleParameters
- x
- Double
A double-precision floating-point number to be raised to a power.
- y
- Double
A double-precision floating-point number that specifies a power.
Returns
The number x raised to the power y.
Examples
The following example uses the Pow method to calculate the value that results from raising 2 to a power ranging from 0 to 32.
int value = 2;
for (int power = 0; power <= 32; power++)
Console.WriteLine($"{value}^{power} = {(long)Math.Pow(value, power):N0} (0x{(long)Math.Pow(value, power):X})");
// The example displays the following output:
// 2^0 = 1 (0x1)
// 2^1 = 2 (0x2)
// 2^2 = 4 (0x4)
// 2^3 = 8 (0x8)
// 2^4 = 16 (0x10)
// 2^5 = 32 (0x20)
// 2^6 = 64 (0x40)
// 2^7 = 128 (0x80)
// 2^8 = 256 (0x100)
// 2^9 = 512 (0x200)
// 2^10 = 1,024 (0x400)
// 2^11 = 2,048 (0x800)
// 2^12 = 4,096 (0x1000)
// 2^13 = 8,192 (0x2000)
// 2^14 = 16,384 (0x4000)
// 2^15 = 32,768 (0x8000)
// 2^16 = 65,536 (0x10000)
// 2^17 = 131,072 (0x20000)
// 2^18 = 262,144 (0x40000)
// 2^19 = 524,288 (0x80000)
// 2^20 = 1,048,576 (0x100000)
// 2^21 = 2,097,152 (0x200000)
// 2^22 = 4,194,304 (0x400000)
// 2^23 = 8,388,608 (0x800000)
// 2^24 = 16,777,216 (0x1000000)
// 2^25 = 33,554,432 (0x2000000)
// 2^26 = 67,108,864 (0x4000000)
// 2^27 = 134,217,728 (0x8000000)
// 2^28 = 268,435,456 (0x10000000)
// 2^29 = 536,870,912 (0x20000000)
// 2^30 = 1,073,741,824 (0x40000000)
// 2^31 = 2,147,483,648 (0x80000000)
// 2^32 = 4,294,967,296 (0x100000000)
open System
let value = 2
for power = 0 to 32 do
printfn $"{value}^{power} = {Math.Pow(value, power) |> int64:N0} (0x{Math.Pow(value, power) |> int64:X})"
// The example displays the following output:
// 2^0 = 1 (0x1)
// 2^1 = 2 (0x2)
// 2^2 = 4 (0x4)
// 2^3 = 8 (0x8)
// 2^4 = 16 (0x10)
// 2^5 = 32 (0x20)
// 2^6 = 64 (0x40)
// 2^7 = 128 (0x80)
// 2^8 = 256 (0x100)
// 2^9 = 512 (0x200)
// 2^10 = 1,024 (0x400)
// 2^11 = 2,048 (0x800)
// 2^12 = 4,096 (0x1000)
// 2^13 = 8,192 (0x2000)
// 2^14 = 16,384 (0x4000)
// 2^15 = 32,768 (0x8000)
// 2^16 = 65,536 (0x10000)
// 2^17 = 131,072 (0x20000)
// 2^18 = 262,144 (0x40000)
// 2^19 = 524,288 (0x80000)
// 2^20 = 1,048,576 (0x100000)
// 2^21 = 2,097,152 (0x200000)
// 2^22 = 4,194,304 (0x400000)
// 2^23 = 8,388,608 (0x800000)
// 2^24 = 16,777,216 (0x1000000)
// 2^25 = 33,554,432 (0x2000000)
// 2^26 = 67,108,864 (0x4000000)
// 2^27 = 134,217,728 (0x8000000)
// 2^28 = 268,435,456 (0x10000000)
// 2^29 = 536,870,912 (0x20000000)
// 2^30 = 1,073,741,824 (0x40000000)
// 2^31 = 2,147,483,648 (0x80000000)
// 2^32 = 4,294,967,296 (0x100000000)
Public Module Example
Public Sub Main
Dim value As Integer = 2
For power As Integer = 0 To 32
Console.WriteLine("{0}^{1} = {2:N0} (0x{2:X})", _
value, power, CLng(Math.Pow(value, power)))
Next
End Sub
End Module
' The example displays the following output:
' 2^0 = 1 (0x1)
' 2^1 = 2 (0x2)
' 2^2 = 4 (0x4)
' 2^3 = 8 (0x8)
' 2^4 = 16 (0x10)
' 2^5 = 32 (0x20)
' 2^6 = 64 (0x40)
' 2^7 = 128 (0x80)
' 2^8 = 256 (0x100)
' 2^9 = 512 (0x200)
' 2^10 = 1,024 (0x400)
' 2^11 = 2,048 (0x800)
' 2^12 = 4,096 (0x1000)
' 2^13 = 8,192 (0x2000)
' 2^14 = 16,384 (0x4000)
' 2^15 = 32,768 (0x8000)
' 2^16 = 65,536 (0x10000)
' 2^17 = 131,072 (0x20000)
' 2^18 = 262,144 (0x40000)
' 2^19 = 524,288 (0x80000)
' 2^20 = 1,048,576 (0x100000)
' 2^21 = 2,097,152 (0x200000)
' 2^22 = 4,194,304 (0x400000)
' 2^23 = 8,388,608 (0x800000)
' 2^24 = 16,777,216 (0x1000000)
' 2^25 = 33,554,432 (0x2000000)
' 2^26 = 67,108,864 (0x4000000)
' 2^27 = 134,217,728 (0x8000000)
' 2^28 = 268,435,456 (0x10000000)
' 2^29 = 536,870,912 (0x20000000)
' 2^30 = 1,073,741,824 (0x40000000)
' 2^31 = 2,147,483,648 (0x80000000)
' 2^32 = 4,294,967,296 (0x100000000)
Remarks
The following table indicates the return value when various values or ranges of values are specified for the x and y parameters. For more information, see Double.PositiveInfinity, Double.NegativeInfinity, and Double.NaN.
| x | y | Return value |
|---|---|---|
Any value except NaN |
±0 | 1 |
NaN |
±0 | 1 (NaN on .NET Framework)* |
NaN |
Any value except 0 | NaN* |
| ±0 | < 0 and an odd integer | NegativeInfinity or PositiveInfinity |
| ±0 | NegativeInfinity |
PositiveInfinity |
| ±0 | PositiveInfinity |
+0 |
| ±0 | > 0 and an odd integer | ±0 |
| -1 | NegativeInfinity or PositiveInfinity |
1 |
| +1 | Any value except NaN |
1 |
| +1 | NaN |
1 (NaN on .NET Framework)* |
| Any value except 1 | NaN |
NaN* |
| -1 < x < 1 | PositiveInfinity |
+0 |
| < -1 or > 1 | PositiveInfinity |
PositiveInfinity |
| -1 < x < 1 | NegativeInfinity |
PositiveInfinity |
| < -1 or > 1 | NegativeInfinity |
+0 |
PositiveInfinity |
< 0 | +0 |
PositiveInfinity |
> 0 | PositiveInfinity |
NegativeInfinity |
< 0 and finite and odd integer | -0 |
NegativeInfinity |
> 0 and finite and odd integer | NegativeInfinity |
NegativeInfinity |
< 0 and finite and not an odd integer | +0 |
NegativeInfinity |
> 0 and finite and not an odd integer | PositiveInfinity |
| ±0 | < 0 and finite and not an odd integer | PositiveInfinity |
| ±0 | > 0 and finite and not an odd integer | +0 |
< 0 but not NegativeInfinity |
Finite non-integer | NaN |
* These rows don't appear in the full set of rules for pow as defined by the IEEE Standard for Floating-Point Arithmetic. They're included here because .NET disables IEEE 754 floating-point exceptions and thus doesn't differentiate between qNaN (quiet NaN) and sNaN (signalling NaN). The IEEE 754 specification allows this exception disablement.
This method calls into the underlying C runtime, and the exact result or valid input range may differ between different operating systems or architectures.
