.NET中Math.Floor()和Math.Truncate()的区别是什么?


当前回答

试试这个。

Math.Floor() vs Math.Truncate()

Math.Floor(2.56) = 2
Math.Floor(3.22) = 3
Math.Floor(-2.56) = -3
Math.Floor(-3.26) = -4

Math.Truncate(2.56) = 2
Math.Truncate(2.00) = 2
Math.Truncate(1.20) = 1
Math.Truncate(-3.26) = -3
Math.Truncate(-3.96) = -3

还Math.Round ()

   Math.Round(1.6) = 2
   Math.Round(-8.56) = -9
   Math.Round(8.16) = 8
   Math.Round(8.50) = 8
   Math.Round(8.51) = 9

math.floor ()

返回小于或等于指定数字的最大整数。 MSDN system.math.floor

math.truncate ()

计算一个数的积分部分。 MSDN system.math.truncate

其他回答

根据Floor的数学定义,即“小于或等于一个数字的最大整数”,这是完全明确的,而Truncate只是删除小数部分,这相当于四舍五入到0。

一些例子:

Round(1.5) = 2
Round(2.5) = 2
Round(1.5, MidpointRounding.AwayFromZero) = 2
Round(2.5, MidpointRounding.AwayFromZero) = 3
Round(1.55, 1) = 1.6
Round(1.65, 1) = 1.6
Round(1.55, 1, MidpointRounding.AwayFromZero) = 1.6
Round(1.65, 1, MidpointRounding.AwayFromZero) = 1.7

Truncate(2.10) = 2
Truncate(2.00) = 2
Truncate(1.90) = 1
Truncate(1.80) = 1

它们在功能上与正数相等。区别在于他们处理负数的方式。

例如:

Math.Floor(2.5) = 2
Math.Truncate(2.5) = 2

Math.Floor(-2.5) = -3
Math.Truncate(-2.5) = -2

MSDN链接: ——数学。楼的方法 ——数学。截断方法

附注:小心数学。周围可能不是你期望的那样。

要获得“标准”舍入结果,请使用:

float myFloat = 4.5;
Console.WriteLine( Math.Round(myFloat) ); // writes 4
Console.WriteLine( Math.Round(myFloat, 0, MidpointRounding.AwayFromZero) ) //writes 5
Console.WriteLine( myFloat.ToString("F0") ); // writes 5

以下是MSDN对以下内容的描述:

Math.Floor, which rounds down towards negative infinity. Math.Ceiling, which rounds up towards positive infinity. Math.Truncate, which rounds up or down towards zero. Math.Round, which rounds to the nearest integer or specified number of decimal places. You can specify the behavior if it's exactly equidistant between two possibilities, such as rounding so that the final digit is even ("Round(2.5,MidpointRounding.ToEven)" becoming 2) or so that it's further away from zero ("Round(2.5,MidpointRounding.AwayFromZero)" becoming 3).

下面的图表可能会有所帮助:

-3        -2        -1         0         1         2         3
 +--|------+---------+----|----+--|------+----|----+-------|-+
    a                     b       c           d            e

                       a=-2.7  b=-0.5  c=0.3  d=1.5  e=2.8
                       ======  ======  =====  =====  =====
Floor                    -3      -1      0      1      2
Ceiling                  -2       0      1      2      3
Truncate                 -2       0      0      1      2
Round (ToEven)           -3       0      0      2      3
Round (AwayFromZero)     -3      -1      0      2      3

请注意,Round比它看起来强大得多,因为它可以舍入到特定的小数点后数位。其他的都是0小数。例如:

n = 3.145;
a = System.Math.Round (n, 2, MidpointRounding.ToEven);       // 3.14
b = System.Math.Round (n, 2, MidpointRounding.AwayFromZero); // 3.15

对于其他函数,你必须使用乘除技巧来达到相同的效果:

c = System.Math.Truncate (n * 100) / 100;                    // 3.14
d = System.Math.Ceiling (n * 100) / 100;                     // 3.15

试试这个。

Math.Floor() vs Math.Truncate()

Math.Floor(2.56) = 2
Math.Floor(3.22) = 3
Math.Floor(-2.56) = -3
Math.Floor(-3.26) = -4

Math.Truncate(2.56) = 2
Math.Truncate(2.00) = 2
Math.Truncate(1.20) = 1
Math.Truncate(-3.26) = -3
Math.Truncate(-3.96) = -3

还Math.Round ()

   Math.Round(1.6) = 2
   Math.Round(-8.56) = -9
   Math.Round(8.16) = 8
   Math.Round(8.50) = 8
   Math.Round(8.51) = 9

math.floor ()

返回小于或等于指定数字的最大整数。 MSDN system.math.floor

math.truncate ()

计算一个数的积分部分。 MSDN system.math.truncate