Initializing bit-fields
When you write
struct {
unsigned a:3, b:2;
} x = {10, 11};
is x.b guaranteed to be 3 by ANSI C (C89)? I have read and reread the standard, but can't seem to find exactly that case.
For example, "result that cannot be represented by the resulting unsigned integer type is reduced modulo the number that is one greater than the largest value that can be represented by the resulting unsigned integer type." speaks about computation, not about initialization. And moreover, bit-field is not really a type.
Also, (when speaking about unsigned t:4) "contains values in the range [0,15]", but it doesn't necessarily mean that initializer must be reduced modulo 16 to be mapped to [0,15].
Struct initialization is really painstakingly detailedly described, but I really can't seem to find exactly that behavior. (Of course compilers do exactly that. And IBM documentation says " when you assign a value that is out of range to a bit field, the low-order bit pattern is preserved and the appropriate bits are assigned.", but I'd like to know if ANSI C standardizes that.
Answer
"ANSI C"/C89 has been obsolete for 25 years. Therefore, my answer cites the current C standard ISO 9899:2011, also known as C11.
Pretty much everything related to bit-fields in the C standard is poorly defined. Typically, you will not find anything explicitly addressing the behavior of bit fields, but their behavior is rather specified implicitly, "between the lines". This is why you should avoid using bit fields.
However, I believe that this specific case is well-defined: it should work like any other integer initialization.
The detailed struct initialization rules you mention (6.7.9) show how the literal 11 in the initializer list is related to the variable b. Nothing strange with that. What then applies is "simple assignment", the same thing that would happen as if you wrote x.b = 11;.
When doing any kind of assignment or initialization in C, the right operand is converted to the type of the left operand. This is specified by C11 6.5.16:
In simple assignment (=), the value of the right operand is converted to the type of the assignment expression and replaces the value stored in the object designated by the left operand.
In your case, the literal 11 of type int is converted to a bit field of unsigned int:2.
Therefore, the rule you are looking for should be found in the chapter dealing with conversions (C11 6.3). What applies is what you already cited in your question, C11 6.3.1.3:
...if the new type is unsigned, the value is converted by repeatedly adding or subtracting one more than the maximum value that can be represented in the new type until the value is in the range of the new type.
The maximum value of an unsigned int:2 is 3. One more than the maximum value is 3+1=4. The compiler should repeatedly subtract this from the value 11:
11 - (3+1) = 7 does not fit, subtract once more:
7 - (3+1) = 3 does fit, store value 3
But then of course, this is the very same thing as taking the 2 least significant bits of the decimal value 11 and storing them in the bit field.