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Vincent Lefevre wrote:
On 2009-09-21 12:41:12 +0200, Arnold Neumaier wrote:Vincent Lefevre wrote:On 2009-09-21 10:41:07 +0200, Arnold Neumaier wrote:The little difference may be decisive, though, for example when checking algebraic numbers for their sign, using multiprecision arithmetic. x in 1e-10000 + [0,Inf] encodes sign information, which is lost when going to midrad.Yes, but such kind of application (where intervals can be very large), you should use infsup. Don't use midrad if your application is not suited for midrad.I had thought it was you who had been recommending midrad for rigorous multipresicion calculations.No, I'm not recommending midrad for every multiprecision applications.I'm saying that the standard should *not exclude* midrad.
The standard does not exclude midrad already by not specifying anything but conversion rules. Arnold Neumaier