After wasting hours debugging I just realized that gcc __float128 REQUIRES 
that numerical constants be written with a q suffix or first they are treated 
as double and then converted to __float. This means unless the numbers are nice 
binary numbers they are only as accurate as double precision. For example .1 - 
.1q = roughly 1.e-18.

   I cannot understand why this is done this way. Who wants to convert a code 
to __float128 and have to then label all floating point numbers with a q which 
of course also means the code is not compilable with other compilers in double.

  Barry

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