Math.Pow(Double, Double) 方法
定義
重要
部分資訊涉及發行前產品,在發行之前可能會有大幅修改。 Microsoft 對此處提供的資訊,不做任何明確或隱含的瑕疵擔保。
回傳一個指定數字,提升至指定冪次方。
public:
static double Pow(double x, double y);
public static double Pow(double x, double y);
static member Pow : double * double -> double
Public Shared Function Pow (x As Double, y As Double) As Double
參數
- x
- Double
一個雙精度浮點數,需提升為冪次方。
- y
- Double
一個雙精度浮點數,指定冪次。
傳回
x數字被提升為 的冪次y方。
範例
以下範例使用此 Pow 方法計算將 2 提升至 0 至 32 的冪次方所得到的值。
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)
備註
下表顯示當 和 參數指定xy各種值或值範圍時的回傳值。 如需詳細資訊,請參閱Double.PositiveInfinity、Double.NegativeInfinity及 Double.NaN。
| x | y | 返回值 |
|---|---|---|
除了 NaN |
± | 1 |
NaN |
± | 1* |
NaN |
除了 0 以外的任何值 | NaN* |
| ± | < 0 和奇整數 |
NegativeInfinity 或 PositiveInfinity |
| ± | NegativeInfinity |
PositiveInfinity |
| ± | PositiveInfinity |
+0 |
| ± | > 0 和奇整數 | ± |
| -1 |
NegativeInfinity 或 PositiveInfinity |
1 |
| +1 | 除了 NaN |
1 |
| +1 | NaN |
1* |
| 除了 1 以外的任何值 | NaN |
NaN* |
| -1 < x < 1 | PositiveInfinity |
+0 |
| < -1 或 > 1 | PositiveInfinity |
PositiveInfinity |
| -1 < x < 1 | NegativeInfinity |
PositiveInfinity |
| < -1 或 > 1 | NegativeInfinity |
+0 |
PositiveInfinity |
< 0 | +0 |
PositiveInfinity |
> 0 | PositiveInfinity |
NegativeInfinity |
< 0 和有限,奇數 | 0- |
NegativeInfinity |
> 0 和有限,奇數 | NegativeInfinity |
NegativeInfinity |
< 0 且有限,且非奇整數 | +0 |
NegativeInfinity |
> 0 且有限,且非奇整數 | PositiveInfinity |
| ± | < 0 且有限,且非奇整數 | PositiveInfinity |
| ± | > 0 且有限,且非奇整數 | +0 |
< 0,但又不是 NegativeInfinity |
有限非整數 | NaN |
* 這些列不會出現在 pow定義的完整規則中。 之所以收錄這些,是因為.NET 禁用了 IEEE 754 浮點例外,因此無法區分 qNaN(安靜的 NaN)與 sNaN(訊號 NaN)。
IEEE 754 規範允許此例外停用。
此方法會呼叫底層的 C 執行時,且不同作業系統或架構間的精確結果或有效輸入範圍可能有所不同。