On Fri, 9 Mar 2018, Steve Ellcey wrote:

> And yet we have tests for large numbers in auto-libm-test-out-sin
> and auto-libm-test-out-cos.  I was testing a different vector sin/cos

Yes.  A floating-point number represents a particular real number, not an 
interval, so all the usual accuracy goals (of results within a few ulps of 
the correct answer) apply for large inputs (but performance is not a 
concern for those inputs).  Only for IBM long double is this relaxed, to 
treat values not representable in 106 mantissa bits as if they do 
represent intervals.

-- 
Joseph S. Myers
joseph@codesourcery.com