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整形提升(c语言基础)
When you use an arithmetic operator, the operands go through two conversions.
Integer promotions: If int
can represent all values of the type, then the operand is promoted to int. This applies to both short
and unsigned short
on most platforms. The conversion performed on this stage is done on each operand individually, without regard for the other operand. (There are more rules, but this is the one that applies.)
Usual arithmetic conversions: If you compare an unsigned int
against a signed int
, since neither includes the entire range of the other, and both have the same rank, then both are converted to the unsigned
type. This conversion is done after examining the type of both operands.
Obviously, the "usual arithmetic conversions" don‘t always apply, if there are not two operands. This is why there are two sets of rules. One gotcha, for example, is that shift operators <<
and >>
don‘t do usual arithmetic conversions, since the type of the result should only depend on the left operand (so if you see someone type x << 5U
, then the U
stands for "unnecessary").
Breakdown: Let‘s assume a typical system with 32-bit int and 16-bit short.
int a = -1; // "signed" is impliedunsigned b = 2; // "int" is impliedif (a < b) puts("a < b"); // not printedelse puts("a >= b"); // printed
- First the two operands are promoted. Since both are
int
orunsigned int
, no promotions are done. - Next, the two operands are converted to the same type. Since
int
can‘t represent all possible values ofunsigned
, andunsigned
can‘t represent all possible values ofint
, there is no obvious choice. In this case, both are converted tounsigned
. - When converting from signed to unsigned, 232 is repeatedly added to the signed value until it is in the range of the unsigned value. This is actually a noop as far as the processor is concerned.
- So the comparison becomes
if (4294967295u < 2u)
, which is false.
Now let‘s try it with short
:
short c = -1; // "signed" is impliedunsigned short d = 2;if (c < d) puts("c < d"); // printedelse puts("c >= d"); // not printed
- First, the two operands are promoted. Since both can be represented faithfully by
int
, both are promoted toint
. - Next, they are converted to the same type. But they already are the same type,
int
, so nothing is done. - So the comparison becomes
if (-1 < 2)
, which is true.
Writing good code: There‘s an easy way to catch these "gotchas" in your code. Just always compile with warnings turned on, and fix the warnings. I tend to write code like this:
int x = ...;unsigned y = ...;if (x < 0 || (unsigned) x < y) ...;
You have to watch out that any code you do write doesn‘t run into the other signed vs. unsigned gotcha: signed overflow. For example, the following code:
int x = ..., y = ...;if (x + 100 < y + 100) ...;unsigned a = ..., b = ...;if (a + 100 < b + 100) ...;
Some popular compilers will optimize (x + 100 < y + 100)
to (x < y)
, but that is a story for another day. Just don‘t overflow your signed numbers.
Footnote: Note that while
signed
is implied forint
,short
,long
, andlong long
, it is NOT implied forchar
. Instead, it depends on the platform.