3.1 Lexical Elements  -< ANSI C Rationale  -> 3.3 Expressions                   Index 

3.2  Conversions

3.2.1  Arithmetic operands

3.2.1.1  Characters and integers

Since the publication of K&R, a serious divergence has occurred among implementations of C in the evolution of integral promotion rules.  Implementations fall into two major camps, which may be characterized as unsigned preserving and value preserving The difference between these approaches centers on the treatment of unsigned char and unsigned short, when widened by the integral promotions, but the decision has an impact on the typing of constants as well (see §3.1.3.2). 

The unsigned preserving approach calls for promoting the two smaller unsigned types to unsigned int This is a simple rule, and yields a type which is independent of execution environment. 

The value preserving approach calls for promoting those types to signed int, if that type can properly represent all the values of the original type, and otherwise for promoting those types to unsigned int Thus, if the execution environment represents short as something smaller than int, unsigned short becomes int; otherwise it becomes unsigned int

Both schemes give the same answer in the vast majority of cases, and both give the same effective result in even more cases in implementations with twos-complement arithmetic and quiet wraparound on signed overflow --- that is, in most current implementations.  In such implementations, differences between the two only appear when these two conditions are both true:

  1. An expression involving an unsigned char or unsigned short produces an int-wide result in which the sign bit is set: i.e., either a unary operation on such a type, or a binary operation in which the other operand is an int or ``narrower'' type. 

  2. The result of the preceding expression is used in a context in which its signedness is significant:

In such circumstances a genuine ambiguity of interpretation arises.  The result must be dubbed questionably signed, since a case can be made for either the signed or unsigned interpretation.  Exactly the same ambiguity arises whenever an unsigned int confronts a signed int across an operator, and the signed int has a negative value.  (Neither scheme does any better, or any worse, in resolving the ambiguity of this confrontation.)  Suddenly, the negative signed int becomes a very large unsigned int, which may be surprising --- or it may be exactly what is desired by a knowledgable programmer.  Of course, all of these ambiguities can be avoided by a judicious use of casts. 

One of the important outcomes of exploring this problem is the understanding that high-quality compilers might do well to look for such questionable code and offer (optional) diagnostics, and that conscientious instructors might do well to warn programmers of the problems of implicit type conversions. 

The unsigned preserving rules greatly increase the number of situations where unsigned int confronts signed int to yield a questionably signed result, whereas the value preserving rules minimize such confrontations.  Thus, the value preserving rules were considered to be safer for the novice, or unwary, programmer.  After much discussion, the Committee decided in favor of value preserving rules, despite the fact that the UNIX C compilers had evolved in the direction of unsigned preserving. 

The Standard clarifies that the integral promotion rules also apply to bit-fields. 

3.2.1.2  Signed and unsigned integers

Precise rules are now provided for converting to and from unsigned integers.  On a twos-complement machine, the operation is still virtual (no change of representation is required), but the rules are now stated independent of representation. 

3.2.1.3  Floating and integral

There was strong agreement that floating values should truncate toward zero when converted to an integral type, the specification adopted in the Standard.  Although the Base Document permitted negative floating values to truncate away from zero, no Committee member knew of current hardware that functions in such a manner.  [Footnote: We have since been informed of one such implementation.] 

3.2.1.4  Floating types

The Standard, unlike the Base Document, does not require rounding in the double to float conversion.  Some widely used IEEE floating point processor chips control floating to integral conversion with the same mode bits as for double-precision to single-precision conversion; since truncation-toward-zero is the appropriate setting for C in the former case, it would be expensive to require such implementations to round to float

3.2.1.5  Usual arithmetic conversions

The rules in the Standard for these conversions are slight modifications of those in the Base Document: the modifications accommodate the added types and the value preserving rules (see §3.2.1.1).  Explicit license has been added to perform calculations in a ``wider'' type than absolutely necessary, since this can sometimes produce smaller and faster code (not to mention the correct answer more often).  Calculations can also be performed in a ``narrower'' type, by the as if rule, so long as the same end result is obtained.  Explicit casting can always be used to obtain exactly the intermediate types required. 

The Committee relaxed the requirement that float operands be converted to double An implementation may still choose to convert.