On 7 janv. 2013, at 20:22, Greg Parker <gpar...@apple.com> wrote: > IEEE 754 guarantees exact results for + - * / sqrt. Everything else is > implementation-defined.
That’s why I suggested a mixed approach combining exact table lookup and a refinement via only multiplications and divisions. It should give, if not exact, at least consistent results whatever processor is involved. > Note also that physics simulations will always need to be careful with the > error inherent to finite precision floating-point arithmetic. IEEE > specification of exact results for every operation wouldn't […] I assumed the original poster had a knowledge of both rounding error and stability theory in algorithms, including use of ad-hoc band-aids like preconditioning. Writing a simulation code w/out such knowledge would anyhow be somewhat vain. Cheers! Vincent _______________________________________________ Cocoa-dev mailing list (Cocoa-dev@lists.apple.com) Please do not post admin requests or moderator comments to the list. Contact the moderators at cocoa-dev-admins(at)lists.apple.com Help/Unsubscribe/Update your Subscription: https://lists.apple.com/mailman/options/cocoa-dev/archive%40mail-archive.com This email sent to arch...@mail-archive.com
