Math.IEEERemainder(Double, Double) 方法
定义
重要
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返回一指定数字被另一指定数字相除的余数。
public:
static double IEEERemainder(double x, double y);public static double IEEERemainder (double x, double y);static member IEEERemainder : double * double -> doublePublic Shared Function IEEERemainder (x As Double, y As Double) As Double参数
- x
- Double
被除数。
- y
- Double
除数。
返回
等于 x - (y Q) 的数，其中 Q 是 x / y 的商的最接近整数（如果 x / y 在两个整数中间，则返回偶数）。
如果 x - (y Q) 为零，则在 x 为正时返回值 +0，而在 x 为负时返回 -0。
如果 y = 0，则返回 NaN。
示例
以下示例将 方法返回 IEEERemainder 的余数与余数运算符返回的 余数进行对比。
using System;
public class Example
{
public static void Main()
{
Console.WriteLine($"{"IEEERemainder",35} {"Remainder operator",20}");
ShowRemainders(3, 2);
ShowRemainders(4, 2);
ShowRemainders(10, 3);
ShowRemainders(11, 3);
ShowRemainders(27, 4);
ShowRemainders(28, 5);
ShowRemainders(17.8, 4);
ShowRemainders(17.8, 4.1);
ShowRemainders(-16.3, 4.1);
ShowRemainders(17.8, -4.1);
ShowRemainders(-17.8, -4.1);
}
private static void ShowRemainders(double number1, double number2)
{
var formula = $"{number1} / {number2} = ";
var ieeeRemainder = Math.IEEERemainder(number1, number2);
var remainder = number1 % number2;
Console.WriteLine($"{formula,-16} {ieeeRemainder,18} {remainder,20}");
}
}
// The example displays the following output:
//
//
// IEEERemainder Remainder operator
// 3 / 2 = -1 1
// 4 / 2 = 0 0
// 10 / 3 = 1 1
// 11 / 3 = -1 2
// 27 / 4 = -1 3
// 28 / 5 = -2 3
// 17.8 / 4 = 1.8 1.8
// 17.8 / 4.1 = 1.4 1.4
// -16.3 / 4.1 = 0.0999999999999979 -4
// 17.8 / -4.1 = 1.4 1.4
// -17.8 / -4.1 = -1.4 -1.4
open System
let showRemainders number1 number2 =
let formula = $"{number1} / {number2} = "
let ieeeRemainder = Math.IEEERemainder(number1, number2)
let remainder = number1 % number2
printfn $"{formula,-16} {ieeeRemainder,18} {remainder,20}"
printfn " IEEERemainder Remainder operator"
showRemainders 3 2
showRemainders 4 2
showRemainders 10 3
showRemainders 11 3
showRemainders 27 4
showRemainders 28 5
showRemainders 17.8 4
showRemainders 17.8 4.1
showRemainders -16.3 4.1
showRemainders 17.8 -4.1
showRemainders -17.8 -4.1
// The example displays the following output:
//
//
// IEEERemainder Remainder operator
// 3 / 2 = -1 1
// 4 / 2 = 0 0
// 10 / 3 = 1 1
// 11 / 3 = -1 2
// 27 / 4 = -1 3
// 28 / 5 = -2 3
// 17.8 / 4 = 1.8 1.8
// 17.8 / 4.1 = 1.4 1.4
// -16.3 / 4.1 = 0.0999999999999979 -4
// 17.8 / -4.1 = 1.4 1.4
// -17.8 / -4.1 = -1.4 -1.4
Module Example
Public Sub Main()
Console.WriteLine($"{"IEEERemainder",35} {"Remainder operator",20}")
ShowRemainders(3, 2)
ShowRemainders(4, 2)
ShowRemainders(10, 3)
ShowRemainders(11, 3)
ShowRemainders(27, 4)
ShowRemainders(28, 5)
ShowRemainders(17.8, 4)
ShowRemainders(17.8, 4.1)
ShowRemainders(-16.3, 4.1)
ShowRemainders(17.8, -4.1)
ShowRemainders(-17.8, -4.1)
End Sub
Private Sub ShowRemainders(number1 As Double, number2 As Double)
Dim formula As String = $"{number1} / {number2} = "
Dim ieeeRemainder As Double = Math.IEEERemainder(number1, number2)
Dim remainder As Double = number1 Mod number2
Console.WriteLine($"{formula,-16} {ieeeRemainder,18} {remainder,20}")
End Sub
End Module
' The example displays the following output:
'
' IEEERemainder Remainder operator
' 3 / 2 = -1 1
' 4 / 2 = 0 0
' 10 / 3 = 1 1
' 11 / 3 = -1 2
' 27 / 4 = -1 3
' 28 / 5 = -2 3
' 17.8 / 4 = 1.8 1.8
' 17.8 / 4.1 = 1.4 1.4
' -16.3 / 4.1 = 0.0999999999999979 -4
' 17.8 / -4.1 = 1.4 1.4
' -17.8 / -4.1 = -1.4 -1.4
注解
此操作符合 ANSI/IEEE Std 754-1985 第 5.1 节中定义的剩余操作;适用于二进制Floating-Point算术的 IEEE 标准;电气和电子工程师协会;1985.
方法 IEEERemainder 与 余数运算符不同。 虽然两者在除法后返回余数，但它们使用的公式是不同的。 方法的 IEEERemainder 公式为：
IEEERemainder = dividend - (divisor * Math.Round(dividend / divisor))
相比之下，余数运算符的公式为：
Remainder = (Math.Abs(dividend) - (Math.Abs(divisor) *
(Math.Floor(Math.Abs(dividend) / Math.Abs(divisor))))) *
Math.Sign(dividend)
