John Dibling John Dibling - 1 year ago 62
C++ Question

Is `long` guaranteed to be at least 32 bits?

By my reading of the C++ Standard, I have always understood that the sizes of the integral fundamental types in C++ were as follows:

sizeof(char) <= sizeof(short int) <= sizeof(int) <= sizeof(long int)

I deduced this from 3.9.1/2:

  1. There are four signed integer types: “signed char”, “short int”,
    “int”, and “long int.” In this list,
    each type provides at least as much
    storage as those preceding it in the
    list. Plain ints have the natural size
    suggested by the architecture of the
    execution environment

Further, the size of
is described by 3.9.1/ as being:

  1. [...] large enough to store any member of the implementation’s basic character set.

1.7/1 defines this in more concrete terms:

  1. The fundamental storage unit in the C + + memory model is the byte. A byte is at least large enough to contain any member of the basic execution character set and is composed of a contiguous sequence of bits, the number of which is implementation-defined.

This leads me to the following conclusion:

1 == sizeof(char) <= sizeof(short int) <= sizeof(int) <= sizeof(long int)

tells us how many bytes the type is. Furthermore, it is implementation-defined how many bits are in a byte. Most of us are probably used to dealing with 8-bit bytes, but the Standard says there are
bits in a byte.

In this post, Alf P. Steinbach says:

long is guaranteed (at least) 32 bits.

This flies in the face of everything I understand the size of the fundamental types to be in C++ according to the Standard. Normally I would just discount this statement as a beginner being wrong, but since this was Alf I decided it was worth investigating further.

So, what say you? Is a long guaranteed by the standard to be at least 32 bits? If so, please be specific as to how this guarantee is made. I just don't see it.

  1. The C++ Standard specifically says that in order to know C++ you must know C (1.2/1) 1

  2. The C++ Standard implicitly defines the minimum limit on the values a
    can accommodate to be

So no matter how big a
is, it has to be big enough to hold LONG_MIN to LONG_MAX.

But Alf and others are specific that a long must be at least 32 bits. This is what I'm trying to establish. The C++ Standard is explicit that the number of bits in a byte are not specified (it could be 4, 8, 16, 42) So how is the connection made from being able to accommodate the numbers
to being at least 32 bits?

(1) 1.2/1: The following referenced documents are indispensable for the application of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.

  • ISO/IEC 2382 (all parts), Information technology – Vocabulary

  • ISO/IEC 9899:1999, Programming languages – C

  • ISO/IEC 10646-1:2000, Information technology – Universal Multiple-Octet Coded Character Set (UCS) – Part 1: Architecture and Basic Multilingual Plane

(2) Defined in

LONG_MIN -2147483647 // -(2^31 - 1)
LONG_MAX +2147483647 // 2^31 - 1

Answer Source

The answer is definitively YES. Read my OP and all the comments to understand why exactly, but here's the short version. If you doubt or question any of this, I encourage you to read the entire thread and all of the comments. Otherwise accept this as true:

  1. The C++ standard includes parts of the C standard, including the definitions for LONG_MIN and LONG_MAX
  2. LONG_MIN is defined as no greater than -2147483647
  3. LONG_MAX is defined as no less than +2147483647
  4. In C++ integral types are stored in binary in the underlying representation
  5. In order to represent -2147483647 and +2147483647 in binary, you need 32 bits.
  6. A C++ long is guaranteed to be able to represent the minimum range LONG_MIN through LONG_MAX

Therefore a long must be at least 32 bits1.


LONG_MIN and LONG_MAX have values with magnitudes dictated by the C standard (ISO/IEC 9899:TC3) in section §

[...] Their implementation-defined values shall be equal or greater in magnitude [...] (absolute value) to those shown, with the same sign [...]

— minimum value for an object of type long int
LONG_MIN -2147483647 // -(2 ^ 31 - 1)
— maximum value for an object of type long int
LONG_MAX +2147483647 // 2 ^ 31 - 1

1 32 bits: This does not mean that sizeof (long) >= 4, because a byte is not necessarily 8 bits. According to the Standard, a byte is some unspecified (platform-defined) number of bits. While most readers will find this odd, there is real hardware on which CHAR_BIT is 16 or 32.

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