Your expectations are wrong in the sense of being overly optimistic. This is a chaotic attractor, under any form of rounding or precision it will “fail” in the way you mean (and “succeed” in proving the power of a strong attractor!)
I have this as a test at home that does each step in 32, 64, doubled precision (~120 bit fp at 1/4 of full speed), and big. I’ll send it later today. No matter what you choose to do, the chaotic attractor will win. Michael On Sat, Feb 1, 2020 at 2:02 PM <craterm...@gmail.com> wrote: > Perhaps I'm doing something wrong or using the library outside of its > intended purpose, but I found that this library doesn't handle Muller's > Recurrence correctly. For those not familiar, Muller's Recurrence is 108 > - (815-1500/z)/y > > https://play.golang.org/p/sePTgjZzHeY > > See > https://latkin.org/blog/2014/11/22/mullers-recurrence-roundoff-gone-wrong/ > > On Sunday, January 26, 2020 at 8:46:16 AM UTC-8, Robert Engels wrote: >> >> Which is exactly what github.com/robaho/fixed and many others do! >> >> On Jan 26, 2020, at 10:34 AM, Michael Jones <michae...@gmail.com> wrote: >> >> ...thus the virtue of scaled integers. scaling by 100 makes cents whole, >> scaling by 10000*100 gives four decimal places beyond that. There is >> nothing bad about floating point despite the reputation, it's just not the >> number system from algebra; nor is binary floating point the same as >> decimal floating point. The problems all start with false presumptions. >> >> On Sun, Jan 26, 2020 at 8:20 AM Robert Engels <ren...@ix.netcom.com> >> wrote: >> >>> Just an FYI, often that is not correct. Many financial systems require >>> fractional pennies due to the volume of transactions. Think about taxing >>> stock exchanges.... the pennies add up quickly at any tax rate, so they use >>> fractional pennies to reduce the size of the error bucket. >>> >>> On Jan 26, 2020, at 8:50 AM, Pat Farrell <pat2...@gmail.com> wrote: >>> >>> never use floating point if you are trying to represent money, say >>> dollars and cents or decimal values of the euro. >>> Store the money as integer number of pennies. >>> >>> -- >>> You received this message because you are subscribed to the Google >>> Groups "golang-nuts" group. >>> To unsubscribe from this group and stop receiving emails from it, send >>> an email to golan...@googlegroups.com. >>> To view this discussion on the web visit >>> https://groups.google.com/d/msgid/golang-nuts/cc852ce3-6f88-40fd-8b19-877c76deec10%40googlegroups.com >>> <https://groups.google.com/d/msgid/golang-nuts/cc852ce3-6f88-40fd-8b19-877c76deec10%40googlegroups.com?utm_medium=email&utm_source=footer> >>> . >>> >>> -- >>> You received this message because you are subscribed to the Google >>> Groups "golang-nuts" group. >>> To unsubscribe from this group and stop receiving emails from it, send >>> an email to golan...@googlegroups.com. >>> To view this discussion on the web visit >>> https://groups.google.com/d/msgid/golang-nuts/AF9827F5-C849-4F4E-8229-005D6C9A0E03%40ix.netcom.com >>> <https://groups.google.com/d/msgid/golang-nuts/AF9827F5-C849-4F4E-8229-005D6C9A0E03%40ix.netcom.com?utm_medium=email&utm_source=footer> >>> . >>> >> >> >> -- >> >> *Michael T. jonesmichae...@gmail.com* >> >> -- > You received this message because you are subscribed to the Google Groups > "golang-nuts" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to golang-nuts+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/golang-nuts/46cadc14-9c8e-4c3a-9c6b-d0af7b621061%40googlegroups.com > <https://groups.google.com/d/msgid/golang-nuts/46cadc14-9c8e-4c3a-9c6b-d0af7b621061%40googlegroups.com?utm_medium=email&utm_source=footer> > . > -- *Michael T. jonesmichael.jo...@gmail.com <michael.jo...@gmail.com>* -- You received this message because you are subscribed to the Google Groups "golang-nuts" group. To unsubscribe from this group and stop receiving emails from it, send an email to golang-nuts+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/golang-nuts/CALoEmQzsFhP%3DwxVwAkp38HyQWDEH7ys90XSm%2BLOe%3Dct5EwhV3w%40mail.gmail.com.
