I tried compilers 4.1.0 through mainline and none of them warn about nitializing
a float variable with a value that will overflow, underflow, or lose precision
for -W or -Wextra.

But in GCC info, It is said like this:
in GCC info(GCC 3.3.4).
 `-Wextra'
      (This option used to be called `-W'.  The older name is still
      supported, but the newer name is more descriptive.)  Print extra
      warning messages for these events:
 ........
      * Any of several floating-point events that often indicate
      errors, such as overflow, underflow, loss of precision, etc.


Is this a bug either in GCC or a bug in documentation?

-- 
           Summary: No warning for assigning a value to a 'float' variable
                    that overflows with option -Wextra
           Product: gcc
           Version: 4.1.0
            Status: UNCONFIRMED
          Severity: normal
          Priority: P2
         Component: other
        AssignedTo: unassigned at gcc dot gnu dot org
        ReportedBy: qiyaoltc at cn dot ibm dot com
                CC: gcc-bugs at gcc dot gnu dot org,janis187 at us dot ibm
                    dot com
 GCC build triplet: ppc64-redhat-linux
  GCC host triplet: ppc64-redhat-linux
GCC target triplet: ppc64-redhat-linux


http://gcc.gnu.org/bugzilla/show_bug.cgi?id=23572

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