user-0 提问: 求助

回复:
user: user-1
content: include\float.h ... #define DBL_DIG         15                      /* # of decimal digits of precision */ #define DBL_EPSILON     2.2204460492503131e-016 /* smallest such that 1.0+DBL_EPSILON != 1.0 */ #define DBL_MANT_DIG    53                      /* # of bits in mantissa */ #define DBL_MAX         1.7976931348623158e+308 /* max value */ #define DBL_MAX_10_EXP  308                     /* max decimal exponent */ #define DBL_MAX_EXP     1024                    /* max binary exponent */ #define DBL_MIN         2.2250738585072014e-308 /* min positive value */ #define DBL_MIN_10_EXP  (-307)                  /* min decimal exponent */ #define DBL_MIN_EXP     (-1021)                 /* min binary exponent */ #define _DBL_RADIX      2                       /* exponent radix */ #define _DBL_ROUNDS     1                       /* addition rounding: near */  #define FLT_DIG         6                       /* # of decimal digits of precision */ #define FLT_EPSILON     1.192092896e-07F        /* smallest such that 1.0+FLT_EPSILON != 1.0 */ #define FLT_GUARD       0 #define FLT_MANT_DIG    24                      /* # of bits in mantissa */ #define FLT_MAX         3.402823466e+38F        /* max value */ #define FLT_MAX_10_EXP  38                      /* max decimal exponent */ #define FLT_MAX_EXP     128                     /* max binary exponent */ #define FLT_MIN         1.175494351e-38F        /* min positive value */ #define FLT_MIN_10_EXP  (-37)                   /* min decimal exponent */ #define FLT_MIN_EXP     (-125)                  /* min binary exponent */ #define FLT_NORMALIZE   0 #define FLT_RADIX       2                       /* exponent radix */ #define FLT_ROUNDS      1                       /* addition rounding: near */  ...

user: user-2
content: 越界了，double的范围为-2^1024 ~ +2^1024   即15~16位

user: user-3
content: c 中float的精度只有5到6 位 其他都是随机的 用double

user: user-4
content: LZ运行程序时的输入，就是合理的实例 随着6的个数的增多，能够表示的准确的6的个数，就是在15~16个左右，这就是现象； 而已经有人回答了，这是浮点数的精度问题，且是15~16左右的精度，这就是结论； 如果还要知道准确的原理，那么请查阅IEEE 754规范。

user: user-5
content: 是不是数据i表示范围越界呢？？？

user: user-1
content: 引用 5 楼 tiandragon00 的回复:我是想得到一个合理的实例来解释 仅供参考#include <stdio.h> #include <stdlib.h> #include <string.h> float f; double d; void showf() {     char bs[65];     char b[65];     unsigned char *p;     char e[12];     char *t;     int ex;      printf("\nf=%.6f\n",f);     p=(unsigned char *)&f;     printf("hex=%02X %02X %02X %02X\n",p[3],p[2],p[1],p[0]);     ltoa(*(long *)&f,b,2);     sprintf(bs,"%032s",b);     printf("bin=%s\n",bs);     printf("bin=%.1s %.8s   %s\n",bs,bs+1,bs+9);     strncpy(e,bs+1,8);e[8]=0;     ex=strtol(e,&t,2);     printf("    %c %-4d-127 1.%s\n",(bs[0]=='0')?'+':'-',ex,bs+9);     ex-=127;     printf("    %c %-8d 1.%s\n",(bs[0]=='0')?'+':'-',ex,bs+9); } void showd() {     char bs[65];     char b[65];     unsigned char *p;     char e[12];     char *t;     int ex;      printf("\nd=%.15lf\n",d);     p=(unsigned char *)&d;     printf("hex=%02X %02X %02X %02X %02X %02X %02X %02X\n",p[7],p[6],p[5],p[4],p[3],p[2],p[1],p[0]);     _i64toa(*(__int64 *)&d,b,2);     sprintf(bs,"%064s",b);     printf("bin=%s\n",bs);     printf("bin=%.1s %.11s   %s\n",bs,bs+1,bs+12);     strncpy(e,bs+1,11);e[11]=0;     ex=strtol(e,&t,2);     printf("    %c %-6d-1023 1.%s\n",(bs[0]=='0')?'+':'-',ex,bs+12);     ex-=1023;     printf("    %c %-11d 1.%s\n",(bs[0]=='0')?'+':'-',ex,bs+12); } int main() {      for (f=0.0f;f<=2.2f;f+=0.2f) showf();     printf("------------\n");     f=2.0f;showf();     printf("-----------------------------------\n");     for (d=0.0 ;d<=2.2 ;d+=0.2 ) showd();     printf("------------\n");     d=2.0 ;showd();      return 0; } // //f=0.000000 //hex=00 00 00 00 //bin=00000000000000000000000000000000 //bin=0 00000000   00000000000000000000000 //  + 0   -127 1.00000000000000000000000 //  + -127     1.00000000000000000000000 // //f=0.200000 //hex=3E 4C CC CD //bin=00111110010011001100110011001101 //bin=0 01111100   10011001100110011001101 //  + 124 -127 1.10011001100110011001101 //  + -3       1.10011001100110011001101 // //f=0.400000 //hex=3E CC CC CD //bin=00111110110011001100110011001101 //bin=0 01111101   10011001100110011001101 //  + 125 -127 1.10011001100110011001101 //  + -2       1.10011001100110011001101 // //f=0.600000 //hex=3F 19 99 9A //bin=00111111000110011001100110011010 //bin=0 01111110   00110011001100110011010 //  + 126 -127 1.00110011001100110011010 //  + -1       1.00110011001100110011010 // //f=0.800000 //hex=3F 4C CC CD //bin=00111111010011001100110011001101 //bin=0 01111110   10011001100110011001101 //  + 126 -127 1.10011001100110011001101 //  + -1       1.10011001100110011001101 // //f=1.000000 //hex=3F 80 00 00 //bin=00111111100000000000000000000000 //bin=0 01111111   00000000000000000000000 //  + 127 -127 1.00000000000000000000000 //  + 0        1.00000000000000000000000 // //f=1.200000 //hex=3F 99 99 9A //bin=00111111100110011001100110011010 //bin=0 01111111   00110011001100110011010 //  + 127 -127 1.00110011001100110011010 //  + 0        1.00110011001100110011010 // //f=1.400000 //hex=3F B3 33 34 //bin=00111111101100110011001100110100 //bin=0 01111111   01100110011001100110100 //  + 127 -127 1.01100110011001100110100 //  + 0        1.01100110011001100110100 // //f=1.600000 //hex=3F CC CC CE //bin=00111111110011001100110011001110 //bin=0 01111111   10011001100110011001110 //  + 127 -127 1.10011001100110011001110 //  + 0        1.10011001100110011001110 // //f=1.800000 //hex=3F E6 66 68 //bin=00111111111001100110011001101000 //bin=0 01111111   11001100110011001101000 //  + 127 -127 1.11001100110011001101000 //  + 0        1.11001100110011001101000 // //f=2.000000 //hex=40 00 00 01 //bin=01000000000000000000000000000001 //bin=0 10000000   00000000000000000000001 //  + 128 -127 1.00000000000000000000001 //  + 1        1.00000000000000000000001 //------------ // //f=2.000000 //hex=40 00 00 00 //bin=01000000000000000000000000000000 //bin=0 10000000   00000000000000000000000 //  + 128 -127 1.00000000000000000000000 //  + 1        1.00000000000000000000000 //----------------------------------- // //d=0.000000000000000 //hex=00 00 00 00 00 00 00 00 //bin=0000000000000000000000000000000000000000000000000000000000000000 //bin=0 00000000000   0000000000000000000000000000000000000000000000000000 //  + 0     -1023 1.0000000000000000000000000000000000000000000000000000 //  + -1023       1.0000000000000000000000000000000000000000000000000000 // //d=0.200000000000000 //hex=3F C9 99 99 99 99 99 9A //bin=0011111111001001100110011001100110011001100110011001100110011010 //bin=0 01111111100   1001100110011001100110011001100110011001100110011010 //  + 1020  -1023 1.1001100110011001100110011001100110011001100110011010 //  + -3          1.1001100110011001100110011001100110011001100110011010 // //d=0.400000000000000 //hex=3F D9 99 99 99 99 99 9A //bin=0011111111011001100110011001100110011001100110011001100110011010 //bin=0 01111111101   1001100110011001100110011001100110011001100110011010 //  + 1021  -1023 1.1001100110011001100110011001100110011001100110011010 //  + -2          1.1001100110011001100110011001100110011001100110011010 // //d=0.600000000000000 //hex=3F E3 33 33 33 33 33 34 //bin=0011111111100011001100110011001100110011001100110011001100110100 //bin=0 01111111110   0011001100110011001100110011001100110011001100110100 //  + 1022  -1023 1.0011001100110011001100110011001100110011001100110100 //  + -1          1.0011001100110011001100110011001100110011001100110100 // //d=0.800000000000000 //hex=3F E9 99 99 99 99 99 9A //bin=0011111111101001100110011001100110011001100110011001100110011010 //bin=0 01111111110   1001100110011001100110011001100110011001100110011010 //  + 1022  -1023 1.1001100110011001100110011001100110011001100110011010 //  + -1          1.1001100110011001100110011001100110011001100110011010 // //d=1.000000000000000 //hex=3F F0 00 00 00 00 00 00 //bin=0011111111110000000000000000000000000000000000000000000000000000 //bin=0 01111111111   0000000000000000000000000000000000000000000000000000 //  + 1023  -1023 1.0000000000000000000000000000000000000000000000000000 //  + 0           1.0000000000000000000000000000000000000000000000000000 // //d=1.200000000000000 //hex=3F F3 33 33 33 33 33 33 //bin=0011111111110011001100110011001100110011001100110011001100110011 //bin=0 01111111111   0011001100110011001100110011001100110011001100110011 //  + 1023  -1023 1.0011001100110011001100110011001100110011001100110011 //  + 0           1.0011001100110011001100110011001100110011001100110011 // //d=1.400000000000000 //hex=3F F6 66 66 66 66 66 66 //bin=0011111111110110011001100110011001100110011001100110011001100110 //bin=0 01111111111   0110011001100110011001100110011001100110011001100110 //  + 1023  -1023 1.0110011001100110011001100110011001100110011001100110 //  + 0           1.0110011001100110011001100110011001100110011001100110 // //d=1.600000000000000 //hex=3F F9 99 99 99 99 99 99 //bin=0011111111111001100110011001100110011001100110011001100110011001 //bin=0 01111111111   1001100110011001100110011001100110011001100110011001 //  + 1023  -1023 1.1001100110011001100110011001100110011001100110011001 //  + 0           1.1001100110011001100110011001100110011001100110011001 // //d=1.800000000000000 //hex=3F FC CC CC CC CC CC CC //bin=0011111111111100110011001100110011001100110011001100110011001100 //bin=0 01111111111   1100110011001100110011001100110011001100110011001100 //  + 1023  -1023 1.1100110011001100110011001100110011001100110011001100 //  + 0           1.1100110011001100110011001100110011001100110011001100 // //d=2.000000000000000 //hex=3F FF FF FF FF FF FF FF //bin=0011111111111111111111111111111111111111111111111111111111111111 //bin=0 01111111111   1111111111111111111111111111111111111111111111111111 //  + 1023  -1023 1.1111111111111111111111111111111111111111111111111111 //  + 0           1.1111111111111111111111111111111111111111111111111111 // //d=2.200000000000000 //hex=40 01 99 99 99 99 99 99 //bin=0100000000000001100110011001100110011001100110011001100110011001 //bin=0 10000000000   0001100110011001100110011001100110011001100110011001 //  + 1024  -1023 1.0001100110011001100110011001100110011001100110011001 //  + 1           1.0001100110011001100110011001100110011001100110011001 //------------ // //d=2.000000000000000 //hex=40 00 00 00 00 00 00 00 //bin=0100000000000000000000000000000000000000000000000000000000000000 //bin=0 10000000000   0000000000000000000000000000000000000000000000000000 //  + 1024  -1023 1.0000000000000000000000000000000000000000000000000000 //  + 1           1.0000000000000000000000000000000000000000000000000000 //

user: user-0
content: 能否详细一点

user: user-0
content: 我是想得到一个合理的实例来解释

user: user-1
content: http://bbs.csdn.net/topics/390676437

user: user-6
content: 引用 2 楼 adlay 的回复:浮点数能表示的精确有效位数是有限的 +1

user: user-7
content: 浮点数能表示的精确有效位数是有限的

user: user-8
content: double的精度为15~16位