[英]Why is FLT_MIN equal to zero?
limits.h
specifies limits for non-floating point math types, eg INT_MIN
and INT_MAX
. limits.h
指定非浮点数学类型的限制,例如INT_MIN
和INT_MAX
。 These values are the most negative and most positive values that you can represent using an int.这些值是您可以使用 int 表示的最负值和最正值。
In float.h
, there are definitions for FLT_MIN
and FLT_MAX
.在
float.h
,有FLT_MIN
和FLT_MAX
定义。 If you do the following:如果您执行以下操作:
NSLog(@"%f %f", FLT_MIN, FLT_MAX);
You get the following output:您将获得以下输出:
FLT_MIN = 0.000000, FLT_MAX = 340282346638528859811704183484516925440.000000
FLT_MAX
is equal to a really large number, as you would expect, but why does FLT_MIN
equal zero instead of a really large negative number?如您所料,
FLT_MAX
等于一个非常大的数,但为什么FLT_MIN
等于零而不是一个非常大的负数?
It's not actually zero, but it might look like zero if you inspect it using printf
or NSLog
by using %f
.它实际上不是零,但如果您使用
printf
或NSLog
通过%f
检查它,它可能看起来像零。
According to float.h
(at least in Mac OS X 10.6.2), FLT_MIN
is described as:根据
float.h
(至少在 Mac OS X 10.6.2 中), FLT_MIN
被描述为:
/* Minimum normalized positive floating-point number, b**(emin - 1). */
Note the positive in that sentence: FLT_MIN
refers to the minimum (normalized) number greater than zero .请注意该句子中的正数:
FLT_MIN
是指大于零的最小(标准化)数字。 (There are much smaller non-normalized numbers). (非标准化数字要小得多)。
If you want the minimum floating point number (including negative numbers), use -FLT_MAX
.如果您想要最小浮点数(包括负数),请使用
-FLT_MAX
。
The '%f' format prints 6 decimal places in fixed format. '%f' 格式以固定格式打印 6 位小数。 Since FLT_MIN is a lot smaller, it looks like zero in fixed point.
由于 FLT_MIN 小得多,因此在定点上看起来为零。 If you use '%e' or '%g' format, you'd get a better formatted answer.
如果您使用 '%e' 或 '%g' 格式,您会得到更好的格式答案。 Similarly with the FLT_MAX.
与 FLT_MAX 类似。
#include <float.h>
#include <stdio.h>
int main(void)
{
printf("MIN = %f, MAX = %f\n", FLT_MIN, FLT_MAX);
printf("MIN = %e, MAX = %e\n", FLT_MIN, FLT_MAX);
return(0);
}
MIN = 0.000000, MAX = 340282346638528859811704183484516925440.000000
MIN = 1.175494e-38, MAX = 3.402823e+38
Whenever you will try to print the value of FLT_MIN from standard header file float.h ,you will get 0.000000(as you are seeing in your output screen).每当您尝试从标准头文件 float.h 打印 FLT_MIN 的值时,您将得到 0.000000(如您在输出屏幕中看到的)。 That is not actually a error.
这实际上不是错误。 You are getting this result because the format specifier %f.
你得到这个结果是因为格式说明符 %f。 Generally %f print 6 digits after the decimal point but in this case the signed negative value is so small that you need to print significant amount of digits after the decimal point.
通常 %f 在小数点后打印 6 位数字,但在这种情况下,带符号的负值非常小,您需要在小数点后打印大量数字。
I have used %.54f(machine dependent) to get the desired- result(0.000000000000000000000000000000000000011754943508222875 for my system).我已经使用 %.54f(取决于机器)来获得所需的结果(对于我的系统,0.000000000000000000000000000000000000011754943508222875)。
//Check this on your system //在你的系统上检查这个
#include<stdio.h>
#include<float.h>
int main()
{
printf("Minimum signed float %.55f\n",FLT_MIN);
printf("Minimum signed float %e\n",FLT_MIN);
return 0;
}
//Output :- //输出 :-
// Minimum signed float 0.0000000000000000000000000000000000000117549435082228750 // 最小有符号浮点数 0.0000000000000000000000000000000000000117549435082228750
// Minimum signed float 1.175494e-038 // 最小有符号浮点数 1.175494e-038
I think now it's clear to you why you are getting 0.000000 for CHAR_MIN and how to get the correct result with the same format specifier.Though you can use %e for better formatted result.我想现在你很清楚为什么你得到 0.000000 的 CHAR_MIN 以及如何使用相同的格式说明符获得正确的结果。虽然你可以使用 %e 来获得更好的格式化结果。
Why is
FLT_MIN
equal to zero?为什么
FLT_MIN
等于零?
It is not equal to zero.它不等于零。 It appears as
0.000000
due to using "%f"
which prints 6 decimal digits after the decimal place .
由于使用
"%f"
在小数位后打印 6 位小数,它显示为0.000000
.
. .
FLT_MIN
often has a value about 1.17549435e-38. FLT_MIN
的值通常约为 1.17549435e-38。
Reference参考
Although this question has been answered as to why, I thought I would post the exact values for FLT_TRUE_MIN, FLT_MIN, FLT_MAX
as well as their nearest float
neighbors when float
is binary32 .虽然这个问题已经回答了为什么,但我想我会发布
FLT_TRUE_MIN, FLT_MIN, FLT_MAX
的确切值以及当float
是binary32时它们最近的float
邻居。
// Approximate value, exact value
Before, FLT_TRUE_MIN, after
0.00000000e+00 0.0
1.40129846e-45 0.00000000000000000000000000000000000000000000140129846432481707092372958328991613128026194187651577175706828388979108268586060148663818836212158203125
2.80259693e-45 0.0000000000000000000000000000000000000000000028025969286496341418474591665798322625605238837530315435141365677795821653717212029732763767242431640625
Before, FLT_MIN, after
1.17549421e-38 0.00000000000000000000000000000000000001175494210692441075487029444849287348827052428745893333857174530571588870475618904265502351336181163787841796875
1.17549435e-38 0.000000000000000000000000000000000000011754943508222875079687365372222456778186655567720875215087517062784172594547271728515625
1.17549449e-38 0.00000000000000000000000000000000000001175494490952133940450443629595204006810278684798281709160328881985245648433835441437622648663818836212158203125
Before, FLT_MAX, after
3.40282326e+38 340282326356119256160033759537265639424.0
3.40282347e+38 340282346638528859811704183484516925440.0
inf inf
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