27 Iterators library [iterators]

27.2 Iterator requirements [iterator.requirements]

27.2.7 Random access iterators [random.access.iterators]

A class or pointer type X satisfies the requirements of a random access iterator if, in addition to satisfying the requirements for bidirectional iterators, the following expressions are valid as shown in Table 99.
Table 99 — Random access iterator requirements (in addition to bidirectional iterator)
Expression
Return type
Operational
Assertion/note
semantics
pre-/post-condition
r += n
X&
{ difference_­type m = n;
if (m >= 0)
while (m--)
++r;
else
while (m++)
--r;
return r; }
a + n
n + a
X
{ X tmp = a;
return tmp += n; }
a + n == n + a.
r -= n
X&
return r += -n;
Requires: the absolute value of n is in the range of representable values of difference_­type.
a - n
X
{ X tmp = a;
return tmp -= n; }
b - a
difference_­type
return n
Requires: there exists a value n of type difference_­type such that a + n == b.

b == a + (b - a).
a[n]
convertible to reference
*(a + n)
a < b
contextually convertible to bool
b - a > 0
< is a total ordering relation
a > b
contextually convertible to bool
b < a
> is a total ordering relation opposite to <.
a >= b
contextually convertible to bool
!(a < b)
a <= b
contextually convertible to bool.
!(a > b)