Decimal.Round 方法
定義
重要
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將值捨入至最接近的整數或是指定的小數位數數字。
多載
Round(Decimal, Int32, MidpointRounding) |
使用指定的進位策略,將十進位值四捨五入至指定的有效位數。 |
Round(Decimal, MidpointRounding) |
使用指定的進位策略,將十進位值四捨五入為整數。 |
Round(Decimal) |
將十進位值四捨五入為最接近的整數。 |
Round(Decimal, Int32) |
將 Decimal 值捨入為指定的小數位數。 |
Round(Decimal, Int32, MidpointRounding)
- 來源:
- Decimal.cs
- 來源:
- Decimal.cs
- 來源:
- Decimal.cs
使用指定的進位策略,將十進位值四捨五入至指定的有效位數。
public:
static System::Decimal Round(System::Decimal d, int decimals, MidpointRounding mode);
public:
static System::Decimal Round(System::Decimal d, int decimals, MidpointRounding mode) = System::Numerics::IFloatingPoint<System::Decimal>::Round;
public static decimal Round (decimal d, int decimals, MidpointRounding mode);
static member Round : decimal * int * MidpointRounding -> decimal
Public Shared Function Round (d As Decimal, decimals As Integer, mode As MidpointRounding) As Decimal
參數
- d
- Decimal
要捨入的十進位數字。
- decimals
- Int32
在傳回值中的有效小數位數 (精確度)。
- mode
- MidpointRounding
其中一個列舉值,指定要使用哪一個進位策略。
傳回
使用mode
捨入策略和精確度decimals
為的四捨五入的數位d
。 如果 d
的精確度少於 decimals
,則 d
傳回時不會變更。
實作
例外狀況
decimals
小於 0 或大於 28。
mode
不是 MidpointRounding 值。
結果超出 Decimal 物件的範圍。
範例
下列範例示範如何使用 Round(Decimal, Int32, MidpointRounding) 方法搭配 MidpointRounding 列舉。
decimal result;
// Round a positive value using different strategies.
// The precision of the result is 1 decimal place.
result = Math.Round(3.45m, 1, MidpointRounding.ToEven);
Console.WriteLine($"{result} = Math.Round({3.45m}, 1, MidpointRounding.ToEven)");
result = Math.Round(3.45m, 1, MidpointRounding.AwayFromZero);
Console.WriteLine($"{result} = Math.Round({3.45m}, 1, MidpointRounding.AwayFromZero)");
result = Math.Round(3.47m, 1, MidpointRounding.ToZero);
Console.WriteLine($"{result} = Math.Round({3.47m}, 1, MidpointRounding.ToZero)\n");
// Round a negative value using different strategies.
// The precision of the result is 1 decimal place.
result = Math.Round(-3.45m, 1, MidpointRounding.ToEven);
Console.WriteLine($"{result} = Math.Round({-3.45m}, 1, MidpointRounding.ToEven)");
result = Math.Round(-3.45m, 1, MidpointRounding.AwayFromZero);
Console.WriteLine($"{result} = Math.Round({-3.45m}, 1, MidpointRounding.AwayFromZero)");
result = Math.Round(-3.47m, 1, MidpointRounding.ToZero);
Console.WriteLine($"{result} = Math.Round({-3.47m}, 1, MidpointRounding.ToZero)\n");
/*
This code example produces the following results:
3.4 = Math.Round(3.45, 1, MidpointRounding.ToEven)
3.5 = Math.Round(3.45, 1, MidpointRounding.AwayFromZero)
3.4 = Math.Round(3.47, 1, MidpointRounding.ToZero)
-3.4 = Math.Round(-3.45, 1, MidpointRounding.ToEven)
-3.5 = Math.Round(-3.45, 1, MidpointRounding.AwayFromZero)
-3.4 = Math.Round(-3.47, 1, MidpointRounding.ToZero)
*/
// Round a positive value using different strategies.
// The precision of the result is 1 decimal place.
let result = Math.Round(3.45m, 1, MidpointRounding.ToEven)
printfn $"{result} = Math.Round({3.45m}, 1, MidpointRounding.ToEven)"
let result = Math.Round(3.45m, 1, MidpointRounding.AwayFromZero)
printfn $"{result} = Math.Round({3.45m}, 1, MidpointRounding.AwayFromZero)"
let result = Math.Round(3.47m, 1, MidpointRounding.ToZero)
printfn $"{result} = Math.Round({3.47m}, 1, MidpointRounding.ToZero)\n"
// Round a negative value using different strategies.
// The precision of the result is 1 decimal place.
let result = Math.Round(-3.45m, 1, MidpointRounding.ToEven)
printfn $"{result} = Math.Round({-3.45m}, 1, MidpointRounding.ToEven)"
let result = Math.Round(-3.45m, 1, MidpointRounding.AwayFromZero)
printfn $"{result} = Math.Round({-3.45m}, 1, MidpointRounding.AwayFromZero)"
let result = Math.Round(-3.47m, 1, MidpointRounding.ToZero)
printfn $"{result} = Math.Round({-3.47m}, 1, MidpointRounding.ToZero)\n"
// This code example produces the following results:
// 3.4 = Math.Round(3.45, 1, MidpointRounding.ToEven)
// 3.5 = Math.Round(3.45, 1, MidpointRounding.AwayFromZero)
// 3.4 = Math.Round(3.47, 1, MidpointRounding.ToZero)
// -3.4 = Math.Round(-3.45, 1, MidpointRounding.ToEven)
// -3.5 = Math.Round(-3.45, 1, MidpointRounding.AwayFromZero)
// -3.4 = Math.Round(-3.47, 1, MidpointRounding.ToZero)
Dim result As Decimal = 0D
Dim posValue As Decimal = 3.45D
Dim negValue As Decimal = -3.45D
' Round a positive value using different strategies.
' The precision of the result is 1 decimal place.
result = Math.Round(posValue, 1, MidpointRounding.ToEven)
Console.WriteLine("{0,4} = Math.Round({1,5}, 1, MidpointRounding.ToEven)",
result, posValue)
result = Math.Round(posValue, 1, MidpointRounding.AwayFromZero)
Console.WriteLine("{0,4} = Math.Round({1,5}, 1, MidpointRounding.AwayFromZero)",
result, posValue)
result = Math.Round(posValue, 1, MidpointRounding.ToZero)
Console.WriteLine("{0,4} = Math.Round({1,5}, 1, MidpointRounding.ToZero)",
result, posValue)
Console.WriteLine()
' Round a negative value using different strategies.
' The precision of the result is 1 decimal place.
result = Math.Round(negValue, 1, MidpointRounding.ToEven)
Console.WriteLine("{0,4} = Math.Round({1,5}, 1, MidpointRounding.ToEven)",
result, negValue)
result = Math.Round(negValue, 1, MidpointRounding.AwayFromZero)
Console.WriteLine("{0,4} = Math.Round({1,5}, 1, MidpointRounding.AwayFromZero)",
result, negValue)
result = Math.Round(negValue, 1, MidpointRounding.ToZero)
Console.WriteLine("{0,4} = Math.Round({1,5}, 1, MidpointRounding.ToZero)",
result, negValue)
Console.WriteLine()
'This code example produces the following results:
'
' 3.4 = Math.Round(3.45, 1, MidpointRounding.ToEven)
' 3.5 = Math.Round(3.45, 1, MidpointRounding.AwayFromZero)
' 3.4 = Math.Round(3.45, 1, MidpointRounding.ToZero)
'
' -3.4 = Math.Round(-3.45, 1, MidpointRounding.ToEven)
' -3.5 = Math.Round(-3.45, 1, MidpointRounding.AwayFromZero)
' -3.4 = Math.Round(-3.45, 1, MidpointRounding.ToZero)
'
備註
參數 decimals
會指定傳回值中的有效小數字數數目,範圍從 0 到 28。 如果 decimals
為零,則會傳回整數。
如果您指定 ToEven 或 AwayFromZero 參數 mode
,這些捨入策略只會套用至中間點值,也就是最小有效位數為 5 的值。
另請參閱
適用於
Round(Decimal, MidpointRounding)
- 來源:
- Decimal.cs
- 來源:
- Decimal.cs
- 來源:
- Decimal.cs
使用指定的進位策略,將十進位值四捨五入為整數。
public:
static System::Decimal Round(System::Decimal d, MidpointRounding mode);
public:
static System::Decimal Round(System::Decimal d, MidpointRounding mode) = System::Numerics::IFloatingPoint<System::Decimal>::Round;
public static decimal Round (decimal d, MidpointRounding mode);
static member Round : decimal * MidpointRounding -> decimal
Public Shared Function Round (d As Decimal, mode As MidpointRounding) As Decimal
參數
- d
- Decimal
要捨入的十進位數字。
- mode
- MidpointRounding
其中一個列舉值,指定要使用哪一個進位策略。
傳回
使用捨入策略四捨五入的mode
整數d
。
實作
例外狀況
mode
不是 MidpointRounding 值。
結果超出 Decimal 物件的範圍。
範例
下列範例會顯示方法傳 Round(Decimal, MidpointRounding) 回的值,其中包含不同的 mode
自變數。
Console.WriteLine($"{"Value",-10} {"Default",-10} {"ToEven",-10} {"AwayFromZero",-15} {"ToZero",-15}");
for (decimal value = 12.0m; value <= 13.0m; value += 0.1m)
Console.WriteLine($"{value,-10} {Math.Round(value),-10} " +
$"{Math.Round(value, MidpointRounding.ToEven),-10} " +
$"{Math.Round(value, MidpointRounding.AwayFromZero),-15} " +
$"{Math.Round(value, MidpointRounding.ToZero),-15}");
// The example displays the following output:
// Value Default ToEven AwayFromZero ToZero
// 12.0 12 12 12 12
// 12.1 12 12 12 12
// 12.2 12 12 12 12
// 12.3 12 12 12 12
// 12.4 12 12 12 12
// 12.5 12 12 13 12
// 12.6 13 13 13 12
// 12.7 13 13 13 12
// 12.8 13 13 13 12
// 12.9 13 13 13 12
// 13.0 13 13 13 13
printfn $"""{"Value",-10} {"Default",-10} {"ToEven",-10} {"AwayFromZero",-15} {"ToZero",-15}"""
for value in 12m .. 0.1m .. 13m do
printfn "%-10O %-10O %-10O %-15O %-15O"
value
(Math.Round value)
(Math.Round(value, MidpointRounding.ToEven))
(Math.Round(value, MidpointRounding.AwayFromZero))
(Math.Round(value, MidpointRounding.ToZero))
// The example displays the following output:
// Value Default ToEven AwayFromZero ToZero
// 12.0 12 12 12 12
// 12.1 12 12 12 12
// 12.2 12 12 12 12
// 12.3 12 12 12 12
// 12.4 12 12 12 12
// 12.5 12 12 13 12
// 12.6 13 13 13 12
// 12.7 13 13 13 12
// 12.8 13 13 13 12
// 12.9 13 13 13 12
// 13.0 13 13 13 13
Console.WriteLine("{0,-10} {1,-10} {2,-10} {3,-15} {4,-15}", "Value", "Default",
"ToEven", "AwayFromZero", "ToZero")
For value As Decimal = 12D To 13D Step 0.1D
Console.WriteLine("{0,-10} {1,-10} {2,-10} {3,-15} {4,-15}",
value, Math.Round(value),
Math.Round(value, MidpointRounding.ToEven),
Math.Round(value, MidpointRounding.AwayFromZero),
Math.Round(value, MidpointRounding.ToZero))
Next
' The example displays the following output:
' Value Default ToEven AwayFromZero ToZero
' 12 12 12 12 12
' 12.1 12 12 12 12
' 12.2 12 12 12 12
' 12.3 12 12 12 12
' 12.4 12 12 12 12
' 12.5 12 12 13 12
' 12.6 13 13 13 12
' 12.7 13 13 13 12
' 12.8 13 13 13 12
' 12.9 13 13 13 12
' 13.0 13 13 13 13
備註
如果您指定 ToEven 或 AwayFromZero 參數 mode
,這些捨入策略只會套用至中間點值,也就是最小有效位數為 5 的值。
另請參閱
適用於
Round(Decimal)
- 來源:
- Decimal.cs
- 來源:
- Decimal.cs
- 來源:
- Decimal.cs
將十進位值四捨五入為最接近的整數。
public:
static System::Decimal Round(System::Decimal d);
public:
static System::Decimal Round(System::Decimal d) = System::Numerics::IFloatingPoint<System::Decimal>::Round;
public static decimal Round (decimal d);
static member Round : decimal -> decimal
Public Shared Function Round (d As Decimal) As Decimal
參數
- d
- Decimal
要捨入的十進位數字。
傳回
最接近 d
參數的整數。 如果 d
介於兩個整數中間,一個為偶數,一個為奇數,則會傳回偶數。
實作
例外狀況
結果超出 Decimal 值的範圍。
範例
下列範例會將介於100到102之間的值範圍 Decimal 四捨五入至最接近的整數。 因為方法使用銀行者的捨入,所以 100.5 捨入至 100,而 101.5 捨入為 102。
using System;
public class Example
{
public static void Main()
{
for (decimal value = 100m; value <= 102m; value += .1m)
Console.WriteLine("{0} --> {1}", value, Decimal.Round(value));
}
}
// The example displays the following output:
// 100 --> 100
// 100.1 --> 100
// 100.2 --> 100
// 100.3 --> 100
// 100.4 --> 100
// 100.5 --> 100
// 100.6 --> 101
// 100.7 --> 101
// 100.8 --> 101
// 100.9 --> 101
// 101.0 --> 101
// 101.1 --> 101
// 101.2 --> 101
// 101.3 --> 101
// 101.4 --> 101
// 101.5 --> 102
// 101.6 --> 102
// 101.7 --> 102
// 101.8 --> 102
// 101.9 --> 102
// 102.0 --> 102
open System
for value in 100m .. 0.1m .. 102m do
printfn $"{value} --> {Decimal.Round value}"
// The example displays the following output:
// 100 --> 100
// 100.1 --> 100
// 100.2 --> 100
// 100.3 --> 100
// 100.4 --> 100
// 100.5 --> 100
// 100.6 --> 101
// 100.7 --> 101
// 100.8 --> 101
// 100.9 --> 101
// 101.0 --> 101
// 101.1 --> 101
// 101.2 --> 101
// 101.3 --> 101
// 101.4 --> 101
// 101.5 --> 102
// 101.6 --> 102
// 101.7 --> 102
// 101.8 --> 102
// 101.9 --> 102
// 102.0 --> 102
Module Example
Public Sub Main()
For value As Decimal = 100d To 102d Step .1d
Console.WriteLine("{0} --> {1}", value, Decimal.Round(value))
Next
End Sub
End Module
' The example displays the following output:
' 100 --> 100
' 100.1 --> 100
' 100.2 --> 100
' 100.3 --> 100
' 100.4 --> 100
' 100.5 --> 100
' 100.6 --> 101
' 100.7 --> 101
' 100.8 --> 101
' 100.9 --> 101
' 101.0 --> 101
' 101.1 --> 101
' 101.2 --> 101
' 101.3 --> 101
' 101.4 --> 101
' 101.5 --> 102
' 101.6 --> 102
' 101.7 --> 102
' 101.8 --> 102
' 101.9 --> 102
' 102.0 --> 102
備註
此方法的行為遵循 IEEE Standard 754 第 4 節。 這種捨入有時稱為四捨五入 到偶 數或 銀行者的捨入。 它會將單一方向中點值持續四捨五入所產生的進位錯誤降到最低。 它相當於使用 mode
的MidpointRounding.ToEven自變數呼叫 Round(Decimal, MidpointRounding) 方法。
另請參閱
適用於
Round(Decimal, Int32)
- 來源:
- Decimal.cs
- 來源:
- Decimal.cs
- 來源:
- Decimal.cs
將 Decimal 值捨入為指定的小數位數。
public:
static System::Decimal Round(System::Decimal d, int decimals);
public:
static System::Decimal Round(System::Decimal d, int decimals) = System::Numerics::IFloatingPoint<System::Decimal>::Round;
public static decimal Round (decimal d, int decimals);
static member Round : decimal * int -> decimal
Public Shared Function Round (d As Decimal, decimals As Integer) As Decimal
參數
- d
- Decimal
要捨入的十進位數字。
- decimals
- Int32
從 0 到 28 的值,這個值指定要捨入到的小數位數。
傳回
等於四捨五 d
入至 decimals
小數位數的小數字數。
實作
例外狀況
decimals
不是從 0 到 28 的值。
範例
下列範例會使用 Round
方法,將數個值四捨五Decimal
入至指定的小數字數。
using System;
class Example12
{
public static void Main()
{
// Define a set of Decimal values.
decimal[] values = { 1.45m, 1.55m, 123.456789m, 123.456789m,
123.456789m, -123.456m,
new Decimal(1230000000, 0, 0, true, 7 ),
new Decimal(1230000000, 0, 0, true, 7 ),
-9999999999.9999999999m,
-9999999999.9999999999m };
// Define a set of integers to for decimals argument.
int[] decimals = { 1, 1, 4, 6, 8, 0, 3, 11, 9, 10};
Console.WriteLine("{0,26}{1,8}{2,26}",
"Argument", "Digits", "Result" );
Console.WriteLine("{0,26}{1,8}{2,26}",
"--------", "------", "------" );
for (int ctr = 0; ctr < values.Length; ctr++)
Console.WriteLine("{0,26}{1,8}{2,26}",
values[ctr], decimals[ctr],
Decimal.Round(values[ctr], decimals[ctr]));
}
}
// The example displays the following output:
// Argument Digits Result
// -------- ------ ------
// 1.45 1 1.4
// 1.55 1 1.6
// 123.456789 4 123.4568
// 123.456789 6 123.456789
// 123.456789 8 123.456789
// -123.456 0 -123
// -123.0000000 3 -123.000
// -123.0000000 11 -123.0000000
// -9999999999.9999999999 9 -10000000000.000000000
// -9999999999.9999999999 10 -9999999999.9999999999
open System
// Define a set of Decimal values.
let values =
[ 1.45m; 1.55m; 123.456789m; 123.456789m
123.456789m; -123.456m
Decimal(1230000000, 0, 0, true, 7uy)
Decimal(1230000000, 0, 0, true, 7uy)
-9999999999.9999999999m
-9999999999.9999999999m ]
// Define a set of integers to for decimals argument.
let decimals =
[ 1; 1; 4; 6; 8; 0; 3; 11; 9; 10 ]
printfn $"""{"Argument",26}{"Digits",8}{"Result",26}"""
printfn $"""{"--------",26}{"------",8}{"------",26}"""
for i = 0 to values.Length - 1 do
printfn $"{values[i],26}{decimals[i],8}{Decimal.Round(values[i], decimals[i]),26}"
// The example displays the following output:
// Argument Digits Result
// -------- ------ ------
// 1.45 1 1.4
// 1.55 1 1.6
// 123.456789 4 123.4568
// 123.456789 6 123.456789
// 123.456789 8 123.456789
// -123.456 0 -123
// -123.0000000 3 -123.000
// -123.0000000 11 -123.0000000
// -9999999999.9999999999 9 -10000000000.000000000
// -9999999999.9999999999 10 -9999999999.9999999999
Public Module Example
Public Sub Main()
' Define a set of Decimal values.
Dim values() As Decimal = { 1.45d, 1.55d, 123.456789d, 123.456789d,
123.456789d, -123.456d,
New Decimal(1230000000, 0, 0, true, 7 ),
New Decimal(1230000000, 0, 0, true, 7 ),
-9999999999.9999999999d,
-9999999999.9999999999d }
' Define a set of integers to for decimals argument.
Dim decimals() As Integer = { 1, 1, 4, 6, 8, 0, 3, 11, 9, 10}
Console.WriteLine("{0,26}{1,8}{2,26}",
"Argument", "Digits", "Result" )
Console.WriteLine("{0,26}{1,8}{2,26}",
"--------", "------", "------" )
For ctr As Integer = 0 To values.Length - 1
Console.WriteLine("{0,26}{1,8}{2,26}",
values(ctr), decimals(ctr),
Decimal.Round(values(ctr), decimals(ctr)))
Next
End Sub
End Module
' The example displays the following output:
' Argument Digits Result
' -------- ------ ------
' 1.45 1 1.4
' 1.55 1 1.6
' 123.456789 4 123.4568
' 123.456789 6 123.456789
' 123.456789 8 123.456789
' -123.456 0 -123
' -123.0000000 3 -123.000
' -123.0000000 11 -123.0000000
' -9999999999.9999999999 9 -10000000000.000000000
' -9999999999.9999999999 10 -9999999999.9999999999
備註
這個方法相當於使用 mode
的MidpointRounding.ToEven自變數呼叫 Round(Decimal, Int32, MidpointRounding) 方法。 當 d
介於兩個四捨五入值之間的一半時,結果會是四捨五入的值,其位在最右邊的小數點位置中有偶數位數。 例如,在四捨五入為兩個小數位數時,值 2.345 會變成 2.34,而值 2.355 會變成 2.36。 此程式稱為捨 入偶數,或 銀行員捨入。 它會將單一方向中點值持續四捨五入所產生的進位錯誤降到最低。