Rmpfr does "support" matrix algebra, but I have been trying for some time to determine if it computes "double" precision (i.e., double the set level of precision) inner products. I suspect that it does NOT, which is unfortunate. However, I would be happy to be wrong about this. JN On 2020-03-14 3:41 p.m., Bert Gunter wrote:> Read its documentation yourself and unless you have good reason not to, > always cc the list (which I have done here). > > > Bert Gunter > > "The trouble with having an open mind is that people keep coming along and > sticking things into it." > -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) > > > On Sat, Mar 14, 2020 at 12:28 PM ??? <13917987541 at 163.com> wrote: > >> Thanks. Does it support matrix algebra? >> >> >> >> ??? >> ???13917987541 at 163.com >> >> <https://maas.mail.163.com/dashi-web-extend/html/proSignature.html?iconUrl=http%3A%2F%2Fmail-online.nosdn.127.net%2F17c23bc1722125aa6261c33736f525c5.jpg&name=%E6%9E%97%E4%BC%9F%E7%92%90&uid=13917987541%40163.com&ftlId=1&items=%5B%22%E9%82%AE%E7%AE%B1%EF%BC%9A13917987541%40163.com%22%5D> >> >> ??? ?????? <https://mail.163.com/dashi/dlpro.html?from=mail88> ?? >> >> On 03/15/2020 03:18, Bert Gunter <bgunter.4567 at gmail.com> wrote: >> Use google instead, as I recommended. If that's impossible in China, you >> should state that and what you tried (Baidu) in your query. >> >> You'll get the Rmpfr package. >> >> Bert Gunter >> >> "The trouble with having an open mind is that people keep coming along and >> sticking things into it." >> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) >> >> >> On Sat, Mar 14, 2020 at 11:48 AM ??? <13917987541 at 163.com> wrote: >> >>> Thanks, I tried Baidu but get nothing >>> >>> >>> >>> ??? >>> ???13917987541 at 163.com >>> >>> <https://maas.mail.163.com/dashi-web-extend/html/proSignature.html?iconUrl=http%3A%2F%2Fmail-online.nosdn.127.net%2F17c23bc1722125aa6261c33736f525c5.jpg&name=%E6%9E%97%E4%BC%9F%E7%92%90&uid=13917987541%40163.com&ftlId=1&items=%5B%22%E9%82%AE%E7%AE%B1%EF%BC%9A13917987541%40163.com%22%5D> >>> >>> ??? ?????? <https://mail.163.com/dashi/dlpro.html?from=mail88> ?? >>> >>> On 03/15/2020 02:44, Bert Gunter <bgunter.4567 at gmail.com> wrote: >>> Here's a novel idea: >>> Do a google search on "multiprecision computing package R" for an answer. >>> >>> Bert Gunter >>> >>> "The trouble with having an open mind is that people keep coming along >>> and sticking things into it." >>> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) >>> >>> >>> On Sat, Mar 14, 2020 at 10:36 AM ??? <13917987541 at 163.com> wrote: >>> >>>> Dear all >>>> >>>> >>>> I need a multiprecision computing package in R, if anyone in the list >>>> knows, please let me known... >>>> >>>> >>>> Many thanks >>>> >>>> >>>> Weilu Lin >>>> [[alternative HTML version deleted]] >>>> >>>> ______________________________________________ >>>> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see >>>> https://stat.ethz.ch/mailman/listinfo/r-help >>>> PLEASE do read the posting guide >>>> http://www.R-project.org/posting-guide.html >>>> and provide commented, minimal, self-contained, reproducible code. >>>> >>> > > [[alternative HTML version deleted]] > > ______________________________________________ > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. >
Are you using a PC, please? You may want to consider installing OpenBLAS. It?s a bit tricky but worth the time/effort. Thanks, Erin On Sat, Mar 14, 2020 at 2:10 PM J C Nash <profjcnash at gmail.com> wrote:> Rmpfr does "support" matrix algebra, but I have been trying for some > time to determine if it computes "double" precision (i.e., double the > set level of precision) inner products. I suspect that it does NOT, > which is unfortunate. However, I would be happy to be wrong about > this. > > JN > > On 2020-03-14 3:41 p.m., Bert Gunter wrote: > > Read its documentation yourself and unless you have good reason not to, > > always cc the list (which I have done here). > > > > > > Bert Gunter > > > > "The trouble with having an open mind is that people keep coming along > and > > sticking things into it." > > -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) > > > > > > On Sat, Mar 14, 2020 at 12:28 PM ??? <13917987541 at 163.com> wrote: > > > >> Thanks. Does it support matrix algebra? > >> > >> > >> > >> ??? > >> ???13917987541 at 163.com > >> > >> < > https://maas.mail.163.com/dashi-web-extend/html/proSignature.html?iconUrl=http%3A%2F%2Fmail-online.nosdn.127.net%2F17c23bc1722125aa6261c33736f525c5.jpg&name=%E6%9E%97%E4%BC%9F%E7%92%90&uid=13917987541%40163.com&ftlId=1&items=%5B%22%E9%82%AE%E7%AE%B1%EF%BC%9A13917987541%40163.com%22%5D > > > >> > >> ??? ?????? <https://mail.163.com/dashi/dlpro.html?from=mail88> ?? > >> > >> On 03/15/2020 03:18, Bert Gunter <bgunter.4567 at gmail.com> wrote: > >> Use google instead, as I recommended. If that's impossible in China, you > >> should state that and what you tried (Baidu) in your query. > >> > >> You'll get the Rmpfr package. > >> > >> Bert Gunter > >> > >> "The trouble with having an open mind is that people keep coming along > and > >> sticking things into it." > >> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) > >> > >> > >> On Sat, Mar 14, 2020 at 11:48 AM ??? <13917987541 at 163.com> wrote: > >> > >>> Thanks, I tried Baidu but get nothing > >>> > >>> > >>> > >>> ??? > >>> ???13917987541 at 163.com > >>> > >>> < > https://maas.mail.163.com/dashi-web-extend/html/proSignature.html?iconUrl=http%3A%2F%2Fmail-online.nosdn.127.net%2F17c23bc1722125aa6261c33736f525c5.jpg&name=%E6%9E%97%E4%BC%9F%E7%92%90&uid=13917987541%40163.com&ftlId=1&items=%5B%22%E9%82%AE%E7%AE%B1%EF%BC%9A13917987541%40163.com%22%5D > > > >>> > >>> ??? ?????? <https://mail.163.com/dashi/dlpro.html?from=mail88> ?? > >>> > >>> On 03/15/2020 02:44, Bert Gunter <bgunter.4567 at gmail.com> wrote: > >>> Here's a novel idea: > >>> Do a google search on "multiprecision computing package R" for an > answer. > >>> > >>> Bert Gunter > >>> > >>> "The trouble with having an open mind is that people keep coming along > >>> and sticking things into it." > >>> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) > >>> > >>> > >>> On Sat, Mar 14, 2020 at 10:36 AM ??? <13917987541 at 163.com> wrote: > >>> > >>>> Dear all > >>>> > >>>> > >>>> I need a multiprecision computing package in R, if anyone in the list > >>>> knows, please let me known... > >>>> > >>>> > >>>> Many thanks > >>>> > >>>> > >>>> Weilu Lin > >>>> [[alternative HTML version deleted]] > >>>> > >>>> ______________________________________________ > >>>> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > >>>> https://stat.ethz.ch/mailman/listinfo/r-help > >>>> PLEASE do read the posting guide > >>>> http://www.R-project.org/posting-guide.html > >>>> and provide commented, minimal, self-contained, reproducible code. > >>>> > >>> > > > > [[alternative HTML version deleted]] > > > > ______________________________________________ > > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > > https://stat.ethz.ch/mailman/listinfo/r-help > > PLEASE do read the posting guide > http://www.R-project.org/posting-guide.html > > and provide commented, minimal, self-contained, reproducible code. > > > > ______________________________________________ > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide > http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. >-- Erin Hodgess, PhD mailto: erinm.hodgess at gmail.com [[alternative HTML version deleted]]
As I understand things, OpenBLAS will improve the performance of computations on regular IEEE 754 formats. I use Rmpfr for much longer numbers, e.g., 50 decimal digits, which -- depending on scale of numbers in a vector -- can mean one needs approximately 100 decimals to accumulate the dot product. As I indicated, I have not been able to verify the internals. Probably I'll have to dig. However, for the moment I'm using David Smith's FM-Fortran, which offers a dot product function which does appear to do this. JN On 2020-03-14 4:17 p.m., Erin Hodgess wrote:> Are you using a PC, please?? You may want to consider installing OpenBLAS.? It?s a bit tricky but worth the time/effort. > > Thanks, > Erin > > > On Sat, Mar 14, 2020 at 2:10 PM J C Nash <profjcnash at gmail.com <mailto:profjcnash at gmail.com>> wrote: > > Rmpfr does "support" matrix algebra, but I have been trying for some > time to determine if it computes "double" precision (i.e., double the > set level of precision) inner products. I suspect that it does NOT, > which is unfortunate. However, I would be happy to be wrong about > this. > > JN > > On 2020-03-14 3:41 p.m., Bert Gunter wrote: > > Read its documentation yourself and unless you have good reason not to, > > always cc the list (which I have done here). > > > > > > Bert Gunter > > > > "The trouble with having an open mind is that people keep coming along and > > sticking things into it." > > -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) > > > > > > On Sat, Mar 14, 2020 at 12:28 PM ??? <13917987541 at 163.com <mailto:13917987541 at 163.com>> wrote: > > > >> Thanks. Does it support matrix algebra? > >> > >> > >> > >> ??? > >> ???13917987541 at 163.com <mailto:13917987541 at 163.com> > >> > >> > <https://maas.mail.163.com/dashi-web-extend/html/proSignature.html?iconUrl=http%3A%2F%2Fmail-online.nosdn.127.net%2F17c23bc1722125aa6261c33736f525c5.jpg&name=%E6%9E%97%E4%BC%9F%E7%92%90&uid=13917987541%40163.com&ftlId=1&items=%5B%22%E9%82%AE%E7%AE%B1%EF%BC%9A13917987541%40163.com%22%5D> > >> > >> ??? ?????? <https://mail.163.com/dashi/dlpro.html?from=mail88> ?? > >> > >> On 03/15/2020 03:18, Bert Gunter <bgunter.4567 at gmail.com <mailto:bgunter.4567 at gmail.com>> wrote: > >> Use google instead, as I recommended. If that's impossible in China, you > >> should state that and what you tried (Baidu) in your query. > >> > >> You'll get the Rmpfr package. > >> > >> Bert Gunter > >> > >> "The trouble with having an open mind is that people keep coming along and > >> sticking things into it." > >> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) > >> > >> > >> On Sat, Mar 14, 2020 at 11:48 AM ??? <13917987541 at 163.com <mailto:13917987541 at 163.com>> wrote: > >> > >>> Thanks, I tried Baidu but get nothing > >>> > >>> > >>> > >>> ??? > >>> ???13917987541 at 163.com <mailto:13917987541 at 163.com> > >>> > >>> > <https://maas.mail.163.com/dashi-web-extend/html/proSignature.html?iconUrl=http%3A%2F%2Fmail-online.nosdn.127.net%2F17c23bc1722125aa6261c33736f525c5.jpg&name=%E6%9E%97%E4%BC%9F%E7%92%90&uid=13917987541%40163.com&ftlId=1&items=%5B%22%E9%82%AE%E7%AE%B1%EF%BC%9A13917987541%40163.com%22%5D> > >>> > >>> ??? ?????? <https://mail.163.com/dashi/dlpro.html?from=mail88> ?? > >>> > >>> On 03/15/2020 02:44, Bert Gunter <bgunter.4567 at gmail.com <mailto:bgunter.4567 at gmail.com>> wrote: > >>> Here's a novel idea: > >>> Do a google search on "multiprecision computing package R" for an answer. > >>> > >>> Bert Gunter > >>> > >>> "The trouble with having an open mind is that people keep coming along > >>> and sticking things into it." > >>> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) > >>> > >>> > >>> On Sat, Mar 14, 2020 at 10:36 AM ??? <13917987541 at 163.com <mailto:13917987541 at 163.com>> wrote: > >>> > >>>> Dear all > >>>> > >>>> > >>>> I need a multiprecision computing package in R, if anyone in the list > >>>> knows, please let me known... > >>>> > >>>> > >>>> Many thanks > >>>> > >>>> > >>>> Weilu Lin > >>>>? ? ? ? ?[[alternative HTML version deleted]] > >>>> > >>>> ______________________________________________ > >>>> R-help at r-project.org <mailto:R-help at r-project.org> mailing list -- To UNSUBSCRIBE and more, see > >>>> https://stat.ethz.ch/mailman/listinfo/r-help > >>>> PLEASE do read the posting guide > >>>> http://www.R-project.org/posting-guide.html > >>>> and provide commented, minimal, self-contained, reproducible code. > >>>> > >>> > > > >? ? ? ?[[alternative HTML version deleted]] > > > > ______________________________________________ > > R-help at r-project.org <mailto:R-help at r-project.org> mailing list -- To UNSUBSCRIBE and more, see > > https://stat.ethz.ch/mailman/listinfo/r-help > > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > > and provide commented, minimal, self-contained, reproducible code. > > > > ______________________________________________ > R-help at r-project.org <mailto:R-help at r-project.org> mailing list -- To UNSUBSCRIBE and more, see > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. > > -- > Erin Hodgess, PhD > mailto: erinm.hodgess at gmail.com <mailto:erinm.hodgess at gmail.com>
Not sure I understand the concern. IEEE 754 double precision floating point was invented to allow for avoiding loss of precision when manipulating single precision floating point numbers... but then C just ignores single precision and you are expected to know that the precision of your answers may only be relied on at single precision for certain operations. Wouldn't you just set Rmpfr precision to double your actual desired precision and move on? Though I suppose you might consider more than doubling the desired precision to deal with exponentiation [1]. [1] https://en.m.wikipedia.org/wiki/Extended_precision#Working_range On March 14, 2020 1:10:19 PM PDT, J C Nash <profjcnash at gmail.com> wrote:>Rmpfr does "support" matrix algebra, but I have been trying for some >time to determine if it computes "double" precision (i.e., double the >set level of precision) inner products. I suspect that it does NOT, >which is unfortunate. However, I would be happy to be wrong about >this. > >JN > >On 2020-03-14 3:41 p.m., Bert Gunter wrote: >> Read its documentation yourself and unless you have good reason not >to, >> always cc the list (which I have done here). >> >> >> Bert Gunter >> >> "The trouble with having an open mind is that people keep coming >along and >> sticking things into it." >> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) >> >> >> On Sat, Mar 14, 2020 at 12:28 PM ??? <13917987541 at 163.com> wrote: >> >>> Thanks. Does it support matrix algebra? >>> >>> >>> >>> ??? >>> ???13917987541 at 163.com >>> >>> ><https://maas.mail.163.com/dashi-web-extend/html/proSignature.html?iconUrl=http%3A%2F%2Fmail-online.nosdn.127.net%2F17c23bc1722125aa6261c33736f525c5.jpg&name=%E6%9E%97%E4%BC%9F%E7%92%90&uid=13917987541%40163.com&ftlId=1&items=%5B%22%E9%82%AE%E7%AE%B1%EF%BC%9A13917987541%40163.com%22%5D> >>> >>> ??? ?????? <https://mail.163.com/dashi/dlpro.html?from=mail88> ?? >>> >>> On 03/15/2020 03:18, Bert Gunter <bgunter.4567 at gmail.com> wrote: >>> Use google instead, as I recommended. If that's impossible in China, >you >>> should state that and what you tried (Baidu) in your query. >>> >>> You'll get the Rmpfr package. >>> >>> Bert Gunter >>> >>> "The trouble with having an open mind is that people keep coming >along and >>> sticking things into it." >>> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) >>> >>> >>> On Sat, Mar 14, 2020 at 11:48 AM ??? <13917987541 at 163.com> wrote: >>> >>>> Thanks, I tried Baidu but get nothing >>>> >>>> >>>> >>>> ??? >>>> ???13917987541 at 163.com >>>> >>>> ><https://maas.mail.163.com/dashi-web-extend/html/proSignature.html?iconUrl=http%3A%2F%2Fmail-online.nosdn.127.net%2F17c23bc1722125aa6261c33736f525c5.jpg&name=%E6%9E%97%E4%BC%9F%E7%92%90&uid=13917987541%40163.com&ftlId=1&items=%5B%22%E9%82%AE%E7%AE%B1%EF%BC%9A13917987541%40163.com%22%5D> >>>> >>>> ??? ?????? <https://mail.163.com/dashi/dlpro.html?from=mail88> ?? >>>> >>>> On 03/15/2020 02:44, Bert Gunter <bgunter.4567 at gmail.com> wrote: >>>> Here's a novel idea: >>>> Do a google search on "multiprecision computing package R" for an >answer. >>>> >>>> Bert Gunter >>>> >>>> "The trouble with having an open mind is that people keep coming >along >>>> and sticking things into it." >>>> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) >>>> >>>> >>>> On Sat, Mar 14, 2020 at 10:36 AM ??? <13917987541 at 163.com> wrote: >>>> >>>>> Dear all >>>>> >>>>> >>>>> I need a multiprecision computing package in R, if anyone in the >list >>>>> knows, please let me known... >>>>> >>>>> >>>>> Many thanks >>>>> >>>>> >>>>> Weilu Lin >>>>> [[alternative HTML version deleted]] >>>>> >>>>> ______________________________________________ >>>>> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see >>>>> https://stat.ethz.ch/mailman/listinfo/r-help >>>>> PLEASE do read the posting guide >>>>> http://www.R-project.org/posting-guide.html >>>>> and provide commented, minimal, self-contained, reproducible code. >>>>> >>>> >> >> [[alternative HTML version deleted]] >> >> ______________________________________________ >> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see >> https://stat.ethz.ch/mailman/listinfo/r-help >> PLEASE do read the posting guide >http://www.R-project.org/posting-guide.html >> and provide commented, minimal, self-contained, reproducible code. >> > >______________________________________________ >R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see >https://stat.ethz.ch/mailman/listinfo/r-help >PLEASE do read the posting guide >http://www.R-project.org/posting-guide.html >and provide commented, minimal, self-contained, reproducible code.-- Sent from my phone. Please excuse my brevity.
The issue is to avoid the storage and operational penalty. 100 x 100 matrix in 100 decimals vs 100 x 100 matrix in 50 decimals for many operations like copy, scale, etc. But accumulation of inner products, you want to avoid digit loss, e.g., A and B are long vectors -- say 100000 long, with a few "large" elements but most smaller. However 99000 "small" numbers could add up and ... As with many such issues, it doesn't affect the vast majority of occurrences. Indeed few of my own. IEEE arithmetic usually does the job (I was one of the members of the original committee). This particular concern arose when trying to tease out a signal from a great deal of noise from a spacecraft sensor. JN On 2020-03-14 4:28 p.m., Jeff Newmiller wrote:> Not sure I understand the concern. IEEE 754 double precision floating point was invented to allow for avoiding loss of precision when manipulating single precision floating point numbers... but then C just ignores single precision and you are expected to know that the precision of your answers may only be relied on at single precision for certain operations. > > Wouldn't you just set Rmpfr precision to double your actual desired precision and move on? Though I suppose you might consider more than doubling the desired precision to deal with exponentiation [1]. > > [1] https://en.m.wikipedia.org/wiki/Extended_precision#Working_range > > On March 14, 2020 1:10:19 PM PDT, J C Nash <profjcnash at gmail.com> wrote: >> Rmpfr does "support" matrix algebra, but I have been trying for some >> time to determine if it computes "double" precision (i.e., double the >> set level of precision) inner products. I suspect that it does NOT, >> which is unfortunate. However, I would be happy to be wrong about >> this. >> >> JN >> >> On 2020-03-14 3:41 p.m., Bert Gunter wrote: >>> Read its documentation yourself and unless you have good reason not >> to, >>> always cc the list (which I have done here). >>> >>> >>> Bert Gunter >>> >>> "The trouble with having an open mind is that people keep coming >> along and >>> sticking things into it." >>> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) >>> >>> >>> On Sat, Mar 14, 2020 at 12:28 PM ??? <13917987541 at 163.com> wrote: >>> >>>> Thanks. Does it support matrix algebra? >>>> >>>> >>>> >>>> ??? >>>> ???13917987541 at 163.com >>>> >>>> >> <https://maas.mail.163.com/dashi-web-extend/html/proSignature.html?iconUrl=http%3A%2F%2Fmail-online.nosdn.127.net%2F17c23bc1722125aa6261c33736f525c5.jpg&name=%E6%9E%97%E4%BC%9F%E7%92%90&uid=13917987541%40163.com&ftlId=1&items=%5B%22%E9%82%AE%E7%AE%B1%EF%BC%9A13917987541%40163.com%22%5D> >>>> >>>> ??? ?????? <https://mail.163.com/dashi/dlpro.html?from=mail88> ?? >>>> >>>> On 03/15/2020 03:18, Bert Gunter <bgunter.4567 at gmail.com> wrote: >>>> Use google instead, as I recommended. If that's impossible in China, >> you >>>> should state that and what you tried (Baidu) in your query. >>>> >>>> You'll get the Rmpfr package. >>>> >>>> Bert Gunter >>>> >>>> "The trouble with having an open mind is that people keep coming >> along and >>>> sticking things into it." >>>> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) >>>> >>>> >>>> On Sat, Mar 14, 2020 at 11:48 AM ??? <13917987541 at 163.com> wrote: >>>> >>>>> Thanks, I tried Baidu but get nothing >>>>> >>>>> >>>>> >>>>> ??? >>>>> ???13917987541 at 163.com >>>>> >>>>> >> <https://maas.mail.163.com/dashi-web-extend/html/proSignature.html?iconUrl=http%3A%2F%2Fmail-online.nosdn.127.net%2F17c23bc1722125aa6261c33736f525c5.jpg&name=%E6%9E%97%E4%BC%9F%E7%92%90&uid=13917987541%40163.com&ftlId=1&items=%5B%22%E9%82%AE%E7%AE%B1%EF%BC%9A13917987541%40163.com%22%5D> >>>>> >>>>> ??? ?????? <https://mail.163.com/dashi/dlpro.html?from=mail88> ?? >>>>> >>>>> On 03/15/2020 02:44, Bert Gunter <bgunter.4567 at gmail.com> wrote: >>>>> Here's a novel idea: >>>>> Do a google search on "multiprecision computing package R" for an >> answer. >>>>> >>>>> Bert Gunter >>>>> >>>>> "The trouble with having an open mind is that people keep coming >> along >>>>> and sticking things into it." >>>>> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip ) >>>>> >>>>> >>>>> On Sat, Mar 14, 2020 at 10:36 AM ??? <13917987541 at 163.com> wrote: >>>>> >>>>>> Dear all >>>>>> >>>>>> >>>>>> I need a multiprecision computing package in R, if anyone in the >> list >>>>>> knows, please let me known... >>>>>> >>>>>> >>>>>> Many thanks >>>>>> >>>>>> >>>>>> Weilu Lin >>>>>> [[alternative HTML version deleted]] >>>>>> >>>>>> ______________________________________________ >>>>>> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see >>>>>> https://stat.ethz.ch/mailman/listinfo/r-help >>>>>> PLEASE do read the posting guide >>>>>> http://www.R-project.org/posting-guide.html >>>>>> and provide commented, minimal, self-contained, reproducible code. >>>>>> >>>>> >>> >>> [[alternative HTML version deleted]] >>> >>> ______________________________________________ >>> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see >>> https://stat.ethz.ch/mailman/listinfo/r-help >>> PLEASE do read the posting guide >> http://www.R-project.org/posting-guide.html >>> and provide commented, minimal, self-contained, reproducible code. >>> >> >> ______________________________________________ >> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see >> https://stat.ethz.ch/mailman/listinfo/r-help >> PLEASE do read the posting guide >> http://www.R-project.org/posting-guide.html >> and provide commented, minimal, self-contained, reproducible code. >