※ 引述《popo4231 (小泰)》之銘言： : #include<iostream> : using namespace std; : #include<iomanip> : using namespace std; : int main() : { : double d = 1.234567891234; : cout<<fixed<<setprecision(16)<<d<<endl; : system("pause"); : return 0; : } : 輸出：1.2345678912339999 : 請按任意鍵繼續 . . . : 為什麼會這樣呢? : 如果改成showpoint: : #include<iostream> : using namespace std; : #include<iomanip> : using namespace std; : int main() : { : double d = 1.234567891234; : cout<<showpoint<<setprecision(16)<<d<<endl; : system("pause"); : return 0; : } : 輸出： : 1.234567891234000 : 請按任意鍵繼續 . . . : 超奇怪的 : 可以幫忙解答嗎 The key points are (1) the precision issue of floating number in computer, and (2) the definition of "setprecision()". (1) As I mentioned in the class, floating numbers ARE not always precise when represented in computer, mainly due to the limited bits of representation. The FLT_EPSILON = 1.19209e-07, and DBL_EPSILON = 2.22045e-16. So the number 1.234567891234 is actually stored as 1.234567891233999903377593909681... in computer. (2) The definition of "setprecision()". Let me quote from cpluplus.com: ========================================================================== The decimal precision determines the maximum number of digits to be written on insertion operations to express floating-point values. How this is interpreted depends on whether the floatfield format flag is set to a specific notation (either fixed or scientific) or it is unset (using the default notation, which is neither fixed nor scientific): On the default floating-point notation, the precision field specifies the maximum number of meaningful digits to display in total counting both those before and those after the decimal point. Notice that it is not a minimum and therefore it does not pad the displayed number with trailing zeros if the number can be displayed with less digits than the precision. In both the fixed and scientific notations, the precision field specifies exactly how many digits to display after the decimal point, even if this includes trailing decimal zeros. The number of digits before the decimal point does not matter in this case. ========================================================================== In short, the statement cout<<showpoint<<setprecision(16)<<d<<endl; will print out totally 16 digits from the number. So --- d = 1.234567891233999903377593909681 = 1.234567891234000 where it rounds at the 15th digit after the decimal point. However, the statement cout<<fixed<<setprecision(16)<<d<<endl; will print out 16 digits AFTER the decimal point. So --- d = 1.234567891233999903377593909681 = 1.2345678912339999 because the 17th digit after decimal point is 0. Note: If you try "setprecision(17)", you will see consistent numbers. --

※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 59.121.131.190 ※ 編輯: ric2k1 來自: 59.121.131.190 (10/10 00:08)