Type punning

In addition to the assumption about bit-representation of floating-point numbers, the above floating-point type-punning example also violates the C language's constraints on how objects are accessed:[3] the declared type of x is float but it is read through an expression of type unsigned int. On many common platforms, this use of pointer punning can create problems if different pointers are aligned in machine-specific ways. Furthermore, pointers of different sizes can alias accesses to the same memory, causing problems that are unchecked by the compiler. Even when data size and pointer representation match, however, compilers can rely on the non-aliasing constraints to perform optimizations that would be unsafe in the presence of disallowed aliasing.

A naive attempt at type-punning can be achieved by using pointers: (The following running example assumes IEEE-754 bit-representation for type float.)

bool is_negative(float x) {
   uint32_t ui = *(uint32_t*)&x;
   return ui & 0x80000000;
}

The C standard's aliasing rules state that an object shall have its stored value accessed only by an lvalue expression of a compatible type.[4] The types float and uint32_t are not compatible, therefore this code's behavior is undefined. Although on GCC and LLVM this particular program compiles and runs as expected, more complicated examples may interact with assumptions made by strict aliasing and lead to unwanted behavior. The option -fno-strict-aliasing will ensure correct behavior of code using this form of type-punning, although using other forms of type punning is recommended.[5]

In C, but not in C++, it is sometimes possible to perform type punning via a union.

bool is_negative(float x) {
    union {
        unsigned int ui;
        float d;
    } my_union;
    my_union.d = x;
    return my_union.ui & 0x80000000;
}

Accessing my_union.ui after most recently writing to the other member, my_union.d, is an allowed form of type-punning in C,[6] provided that the member read is not larger than the one whose value was set (otherwise the read has unspecified behavior[7]). The same is syntactically valid but has undefined behavior in C++, [8] however, where only the last-written member of a union is considered to have any value at all.

For another example of type punning, see Stride of an array.

In C++20, the std::bit_cast operator allows type punning with no undefined behavior. It also allows the function be labeled constexpr.

constexpr bool is_negative(float x) noexcept {
   static_assert(std::numeric_limits<float>::is_iec559); // (enable only on IEEE 754)
   auto ui = std::bit_cast<std::uint32_t>(x);
   return ui & 0x80000000;
}

A variant record permits treating a data type as multiple kinds of data depending on which variant is being referenced. In the following example, integer is presumed to be 16 bit, while longint and real are presumed to be 32, while character is presumed to be 8 bit:

type
    VariantRecord = record
        case RecType : LongInt of
            1: (I : array[1..2] of Integer);  (* not show here: there can be several variables in a variant record's case statement *)
            2: (L : LongInt               );
            3: (R : Real                  );
            4: (C : array[1..4] of Char   );
        end;

var
    V  : VariantRecord;
    K  : Integer;
    LA : LongInt;
    RA : Real;
    Ch : Character;


V.I[1] := 1;
Ch     := V.C[1];  (* this would extract the first byte of V.I *)
V.R    := 8.3;   
LA     := V.L;     (* this would store a Real into an Integer *)

In Pascal, copying a real to an integer converts it to the truncated value. This method would translate the binary value of the floating-point number into whatever it is as a long integer (32 bit), which will not be the same and may be incompatible with the long integer value on some systems.

These examples could be used to create strange conversions, although, in some cases, there may be legitimate uses for these types of constructs, such as for determining locations of particular pieces of data. In the following example a pointer and a longint are both presumed to be 32 bit:

type
    PA = ^Arec;

    Arec = record
        case RT : LongInt of
            1: (P : PA     );
            2: (L : LongInt);
        end;

var
    PP : PA;
    K  : LongInt;


New(PP);
PP^.P := PP;
WriteLn('Variable PP is located at address ', Hex(PP^.L));

Where "new" is the standard routine in Pascal for allocating memory for a pointer, and "hex" is presumably a routine to print the hexadecimal string describing the value of an integer. This would allow the display of the address of a pointer, something which is not normally permitted. (Pointers cannot be read or written, only assigned.) Assigning a value to an integer variant of a pointer would allow examining or writing to any location in system memory:

PP^.L := 0;
PP    := PP^.P;  (* PP now points to address 0     *)
K     := PP^.L;  (* K contains the value of word 0 *)
WriteLn('Word 0 of this machine contains ', K);

This construct may cause a program check or protection violation if address 0 is protected against reading on the machine the program is running upon or the operating system it is running under.

The reinterpret cast technique from C/C++ also works in Pascal. This can be useful, when eg. reading dwords from a byte stream, and we want to treat them as float. Here is a working example, where we reinterpret-cast a dword to a float:

type
    pReal = ^Real;

var
    DW : DWord;
    F  : Real;

F := pReal(@DW)^;

In C# (and other .NET languages), type punning is a little harder to achieve because of the type system, but can be done nonetheless, using pointers or struct unions.

C# only allows pointers to so-called native types, i.e. any primitive type (except string), enum, array or struct that is composed only of other native types. Note that pointers are only allowed in code blocks marked 'unsafe'.

float pi = 3.14159;
uint piAsRawData = *(uint*)π

Struct unions are allowed without any notion of 'unsafe' code, but they do require the definition of a new type.

[StructLayout(LayoutKind.Explicit)]
struct FloatAndUIntUnion
{
    [FieldOffset(0)]
    public float DataAsFloat;

    [FieldOffset(0)]
    public uint DataAsUInt;
}

// ...

FloatAndUIntUnion union;
union.DataAsFloat = 3.14159;
uint piAsRawData = union.DataAsUInt;

Raw CIL can be used instead of C#, because it doesn't have most of the type limitations. This allows one to, for example, combine two enum values of a generic type:

TEnum a = ...;
TEnum b = ...;
TEnum combined = a | b; // illegal

This can be circumvented by the following CIL code:

.method public static hidebysig
    !!TEnum CombineEnums<valuetype .ctor ([mscorlib]System.ValueType) TEnum>(
        !!TEnum a,
        !!TEnum b
    ) cil managed
{
    .maxstack 2

    ldarg.0 
    ldarg.1
    or  // this will not cause an overflow, because a and b have the same type, and therefore the same size.
    ret
}

The cpblk CIL opcode allows for some other tricks, such as converting a struct to a byte array:

.method public static hidebysig
    uint8[] ToByteArray<valuetype .ctor ([mscorlib]System.ValueType) T>(
        !!T& v // 'ref T' in C#
    ) cil managed
{
    .locals init (
        [0] uint8[]
    )

    .maxstack 3

    // create a new byte array with length sizeof(T) and store it in local 0
    sizeof !!T
    newarr uint8
    dup           // keep a copy on the stack for later (1)
    stloc.0

    ldc.i4.0
    ldelema uint8

    // memcpy(local 0, &v, sizeof(T));
    // <the array is still on the stack, see (1)>
    ldarg.0 // this is the *address* of 'v', because its type is '!!T&'
    sizeof !!T
    cpblk

    ldloc.0
    ret
}