导读
作者徐晨亮, MySQL DBA,知数堂学员。热衷于数据库优化,自动化运维及数据库周边工具开发,对 MySQL源码有一定的兴趣
本文建议横屏观看,效果更佳
root@mysqldb 22:12: [xucl]> show create table t1\G
*************************** 1. row ***************************
Table: t1
Create Table: CREATE TABLE `t1` (
`id` varchar(255) DEFAULT NULL
) ENGINE=InnoDB DEFAULT CHARSET=utf8
1 row in set (0.00 sec)
root@mysqldb 22:19: [xucl]> select * from t1;
+--------------------+
| id |
+--------------------+
| 204027026112927605 |
| 204027026112927603 |
| 2040270261129276 |
| 2040270261129275 |
| 100 |
| 101 |
+--------------------+
6 rows in set (0.00 sec)
奇怪的现象:
root@mysqldb 22:19: [xucl]> select * from t1 where id=204027026112927603;
+--------------------+
| id |
+--------------------+
| 204027026112927605 |
| 204027026112927603 |
+--------------------+
2 rows in set (0.00 sec)
什么鬼,明明查的是204027026112927603,为什么204027026112927605也出来了
堆栈调用关系如下所示:
其中JOIN::exec()
是执行的入口,Arg_comparator::compare_real()
是进行等值判断的函数,其定义如下
int Arg_comparator::compare_real()
{
/*
Fix yet another manifestation of Bug#2338. 'Volatile' will instruct
gcc to flush double values out of 80-bit Intel FPU registers before
performing the comparison.
*/
volatile double val1, val2;
val1= (*a)->val_real();
if (!(*a)->null_value)
{
val2= (*b)->val_real();
if (!(*b)->null_value)
{
if (set_null)
owner->null_value= 0;
if (val1 < val2) return -1;
if (val1 == val2) return 0;
return 1;
}
}
if (set_null)
owner->null_value= 1;
return -1;
}
比较步骤如下图所示,逐行读取t1表的id列放入val1,而常量204027026112927603存在于cache中,类型为double类型(2.0402702611292762E+17),所以到这里传值给val2后val2=2.0402702611292762E+17。
当扫描到第一行时,204027026112927605转成doule的值为2.0402702611292762e17,等式成立,判定为符合条件的行,继续往下扫描,同理204027026112927603也同样符合
如何检测string类型的数字转成doule类型是否溢出呢?这里经过测试,当数字超过16位以后,转成double类型就已经不准确了,例如20402702611292711会表示成20402702611292712(如图中val1)
{
char buf[DTOA_BUFF_SIZE];
double res;
DBUG_ASSERT(end != NULL && ((str != NULL && *end != NULL) ||
(str == NULL && *end == NULL)) &&
error != NULL);
res= my_strtod_int(str, end, error, buf, sizeof(buf));
return (*error == 0) ? res : (res < 0 ? -DBL_MAX : DBL_MAX);
}
真正转换函数my_strtod_int
位置在dtoa.c(太复杂了,简单贴个注释吧)
/*
strtod for IEEE--arithmetic machines.
This strtod returns a nearest machine number to the input decimal
string (or sets errno to EOVERFLOW). Ties are broken by the IEEE round-even
rule.
Inspired loosely by William D. Clinger's paper "How to Read Floating
Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101].
Modifications:
1. We only require IEEE (not IEEE double-extended).
2. We get by with floating-point arithmetic in a case that
Clinger missed -- when we're computing d * 10^n
for a small integer d and the integer n is not too
much larger than 22 (the maximum integer k for which
we can represent 10^k exactly), we may be able to
compute (d*10^k) * 10^(e-k) with just one roundoff.
3. Rather than a bit-at-a-time adjustment of the binary
result in the hard case, we use floating-point
arithmetic to determine the adjustment to within
one bit; only in really hard cases do we need to
compute a second residual.
4. Because of 3., we don't need a large table of powers of 10
for ten-to-e (just some small tables, e.g. of 10^k
for 0 <= k <= 22).
*/
既然是这样,我们测试下没有溢出的案例
root@mysqldb 23:30: [xucl]> select * from t1 where id=2040270261129276;
+------------------+
| id |
+------------------+
| 2040270261129276 |
+------------------+
1 row in set (0.00 sec)
root@mysqldb 23:30: [xucl]> select * from t1 where id=101;
+------+
| id |
+------+
| 101 |
+------+
1 row in set (0.00 sec)
结果符合预期,而在本例中,正确的写法应当是
root@mysqldb 22:19: [xucl]> select * from t1 where id='204027026112927603';
+--------------------+
| id |
+--------------------+
| 204027026112927603 |
+--------------------+
1 row in set (0.01 sec)
1、If one or both arguments are NULL, the result of the comparison is NULL, except for the NULL-safe
<=> equality comparison operator. For NULL <=> NULL, the result is true. No conversion is needed.
2、If both arguments in a comparison operation are strings, they are compared as strings.
3、If both arguments are integers, they are compared as integers.
4、Hexadecimal values are treated as binary strings if not compared to a number.
5、If one of the arguments is a TIMESTAMP or DATETIME column and the other argument is a
constant, the constant is converted to a timestamp before the comparison is performed. This is
done to be more ODBC-friendly. This is not done for the arguments to IN(). To be safe, always
use complete datetime, date, or time strings when doing comparisons. For example, to achieve best
results when using BETWEEN with date or time values, use CAST() to explicitly convert the values to
the desired data type.
A single-row subquery from a table or tables is not considered a constant. For example, if a subquery
returns an integer to be compared to a DATETIME value, the comparison is done as two integers.
The integer is not converted to a temporal value. To compare the operands as DATETIME values,
use CAST() to explicitly convert the subquery value to DATETIME.
6、If one of the arguments is a decimal value, comparison depends on the other argument. The
arguments are compared as decimal values if the other argument is a decimal or integer value, or as
floating-point values if the other argument is a floating-point value.
7、In all other cases, the arguments are compared as floating-point (real) numbers.
2、Type Conversion in Expression Evaluation:https://dev.mysql.com/doc/refman/8.0/en/type-conversion.html
感谢八怪的友情指导,想学习更多源码内容,强烈推荐一下八怪的专栏《深入理解MySQL主从原理》
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