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Groups > comp.lang.forth > #42102 > unrolled thread
| Started by | lehs <skydda.barnen@gmail.com> |
|---|---|
| First post | 2015-09-21 11:09 -0700 |
| Last post | 2015-10-09 00:30 -0700 |
| Articles | 16 on this page of 36 — 11 participants |
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Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-09-21 11:09 -0700
Re: Problem with GForth Bernd Paysan <bernd.paysan@gmx.de> - 2015-09-21 20:14 +0200
Re: Problem with GForth "Elizabeth D. Rather" <erather@forth.com> - 2015-09-21 12:36 -1000
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-09-21 16:20 -0700
Re: Problem with GForth Bernd Paysan <bernd.paysan@gmx.de> - 2015-09-22 02:37 +0200
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-09-21 22:59 -0700
Re: Problem with GForth "Elizabeth D. Rather" <erather@forth.com> - 2015-09-21 20:04 -1000
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-09-21 16:17 -0700
Re: Problem with GForth Bernd Paysan <bernd.paysan@gmx.de> - 2015-09-22 02:35 +0200
Re: Problem with GForth hughaguilar96@gmail.com - 2015-09-21 23:30 -0700
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-10-07 18:33 -0700
Re: Problem with GForth Paul Rubin <no.email@nospam.invalid> - 2015-10-07 19:03 -0700
Re: Problem with GForth anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2015-10-08 07:45 +0000
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-10-08 05:06 -0700
Re: Problem with GForth Howerd <howerdo@yahoo.co.uk> - 2015-10-08 14:24 -0700
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-10-08 22:49 -0700
Re: Problem with GForth Paul Rubin <no.email@nospam.invalid> - 2015-10-08 23:11 -0700
Re: Problem with GForth Coos Haak <chforth@hccnet.nl> - 2015-10-09 01:01 +0200
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-10-08 22:53 -0700
Re: Problem with GForth Coos Haak <chforth@hccnet.nl> - 2015-10-09 10:04 +0200
Re: Problem with GForth Paul Rubin <no.email@nospam.invalid> - 2015-10-09 01:23 -0700
Re: Problem with GForth Coos Haak <chforth@hccnet.nl> - 2015-10-09 12:32 +0200
Re: Problem with GForth "WJ" <w_a_x_man@yahoo.com> - 2015-10-08 23:34 +0000
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-10-08 22:55 -0700
Re: Problem with GForth Paul Rubin <no.email@nospam.invalid> - 2015-10-08 16:52 -0700
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-10-08 23:03 -0700
Re: Problem with GForth Coos Haak <chforth@hccnet.nl> - 2015-10-09 10:21 +0200
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-10-09 08:04 -0700
Re: Problem with GForth anton@mips.complang.tuwien.ac.at (Anton Ertl) - 2015-10-10 11:03 +0000
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-10-13 12:34 -0700
Re: Problem with GForth Marcos Cruz <use_the_contact_page@programandala.net> - 2015-10-13 18:31 +0000
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-10-13 12:40 -0700
Re: Problem with GForth Marcos Cruz <use_the_contact_page@programandala.net> - 2015-10-14 20:20 +0000
Re: Problem with GForth "WJ" <w_a_x_man@yahoo.com> - 2015-10-09 05:58 +0000
Re: Problem with GForth lehs <skydda.barnen@gmail.com> - 2015-10-08 23:08 -0700
Re: Problem with GForth mhx@iae.nl - 2015-10-09 00:30 -0700
Page 2 of 2 — ← Prev page 1 [2]
| From | Paul Rubin <no.email@nospam.invalid> |
|---|---|
| Date | 2015-10-09 01:23 -0700 |
| Message-ID | <87zizs4fho.fsf@jester.gateway.sonic.net> |
| In reply to | #42484 |
Coos Haak <chforth@hccnet.nl> writes: > time gforth BigIntANSForth.txt bignum.txt -e bye Could you try with gforth-fast ? Thanks.
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| From | Coos Haak <chforth@hccnet.nl> |
|---|---|
| Date | 2015-10-09 12:32 +0200 |
| Message-ID | <ld8octzb47t$.29c44sjlfkhj$.dlg@40tude.net> |
| In reply to | #42486 |
Op Fri, 09 Oct 2015 01:23:47 -0700 schreef Paul Rubin: > Coos Haak <chforth@hccnet.nl> writes: >> time gforth BigIntANSForth.txt bignum.txt -e bye > > Could you try with gforth-fast ? Thanks. VBOX linux 64 gforth-fast Intel E800 dual core 3 GHz real 0m0.487s user 0m0.284s sys 0m0.056s VBOX linux 32 gforth-fast Intel E800 dual core 3 GHz real 0m1.249s user 0m0.756s sys 0m0.016s Native Linux 64 gforth-fast Intel E800 dual core 3 GHz real 0m0.304s user 0m0.235s sys 0m0.012s Raspberry Pi B gforth-fast single core 700 MHz real 0m8.831s user 0m8.660s sys 0m0.060s Native Linux 32 gforth-fast AMD single core 2 GHz real 0m1.397s user 0m1.388s sys 0m0.000s groet Coos
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| From | "WJ" <w_a_x_man@yahoo.com> |
|---|---|
| Date | 2015-10-08 23:34 +0000 |
| Message-ID | <mv6ui3$21i$1@dont-email.me> |
| In reply to | #42453 |
lehs wrote: > b**mod > > takes a half second in both SP-Forth and GForth64 at Win 10. Oforth: 26359783991551070871965201979080333254038743646746158379582192038055842791146833506745978666309678710238746262325665407448047112858614221184120023774728850927701745782077979943165434355776993447809155163506304287949484786229043007193369097865681445643720004387345872800008950502312482268122160708155160328564 39327375191467048647521018841730348998598651522372708158670691892420060531890655533991461398550696324722351925617448324344083141484661951392820800479947685042791549748743564268081958080246132723174581232969062661990556972176861792341905425252382562697686127413259201904144867482279552760624394742040590855602 * 16306675630939784626502807161425612212340131109932460322238576590610976549235432503764166590338557086651302692446204937053886057954003032814801648230668894753863150108029570966337696939560565101312815273803547555619029325583815565767168841836143511237512006023630352590540140638620838094344583215840893265550 mod . 18875585843095877685500588004186838163395520143424196938333413803253607047916746 24893524194742736032385552977823936790502523349098436298392980714946980144235027 01110303270864299823231785949654652195884003800042700123513278977017863166309354 0743844851635921996900242066366526285950489819498094257843804010578 ok
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| From | lehs <skydda.barnen@gmail.com> |
|---|---|
| Date | 2015-10-08 22:55 -0700 |
| Message-ID | <c3b3235f-9465-415c-832c-6fbddf961956@googlegroups.com> |
| In reply to | #42468 |
The routine b**mod ( a b c -- d ) calculates d=a^b (mod c).
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| From | Paul Rubin <no.email@nospam.invalid> |
|---|---|
| Date | 2015-10-08 16:52 -0700 |
| Message-ID | <87lhbc6hpu.fsf@jester.gateway.sonic.net> |
| In reply to | #42453 |
lehs <skydda.barnen@gmail.com> writes: > https://github.com/Lehs/BIG-INTEGER-ANS-FORTH > [ three 1022-bit operands ] b**mod > takes a half second in both SP-Forth and GForth64 at Win 10. Nice! That's fast enough to be useful for some purposes. I'd be interested in seeing measurements with gforth-fast on various cpus, and with other Forth implementations. I might try with gforth-fast and Mecrisp (ARM) when I have some time. Should I expect it to work on 16-bit systems?
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| From | lehs <skydda.barnen@gmail.com> |
|---|---|
| Date | 2015-10-08 23:03 -0700 |
| Message-ID | <f1318fd4-f0d0-47bf-bb0f-97e8360bc60a@googlegroups.com> |
| In reply to | #42470 |
I hope it could be made faster though. Yes, I would expect it to run on 16 bit systems. But some problems might appear in some systems, on any kind. And, there might still be errors in the code, which is a mix of established algorithms and home brewed 'algorithms'. The factoring routines works for 20 digit numbers - at the best.
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| From | Coos Haak <chforth@hccnet.nl> |
|---|---|
| Date | 2015-10-09 10:21 +0200 |
| Message-ID | <14n4qfmxwbxfe.1vv7t5l20ckvk$.dlg@40tude.net> |
| In reply to | #42470 |
Op Thu, 08 Oct 2015 16:52:45 -0700 schreef Paul Rubin: > lehs <skydda.barnen@gmail.com> writes: >> https://github.com/Lehs/BIG-INTEGER-ANS-FORTH >> [ three 1022-bit operands ] b**mod >> takes a half second in both SP-Forth and GForth64 at Win 10. > > Nice! That's fast enough to be useful for some purposes. I'd be > interested in seeing measurements with gforth-fast on various cpus, and > with other Forth implementations. I might try with gforth-fast and > Mecrisp (ARM) when I have some time. Should I expect it to work on > 16-bit systems? It does not run on my current CHForth 16. $A000 allocate and more is really too much! Perhaps working with extra segments (8086) could work, but then you have to use long addresses. Nit: don't expect that CELL exists. CELL+ and CELLS do. groet Coos
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| From | lehs <skydda.barnen@gmail.com> |
|---|---|
| Date | 2015-10-09 08:04 -0700 |
| Message-ID | <767b34cf-2097-479e-b1ea-8af16af2cba3@googlegroups.com> |
| In reply to | #42485 |
Den fredag 9 oktober 2015 kl. 10:21:46 UTC+2 skrev Coos Haak: > Op Thu, 08 Oct 2015 16:52:45 -0700 schreef Paul Rubin: > > > lehs <skydda.barnen@gmail.com> writes: > >> https://github.com/Lehs/BIG-INTEGER-ANS-FORTH > >> [ three 1022-bit operands ] b**mod > >> takes a half second in both SP-Forth and GForth64 at Win 10. > > > > Nice! That's fast enough to be useful for some purposes. I'd be > > interested in seeing measurements with gforth-fast on various cpus, and > > with other Forth implementations. I might try with gforth-fast and > > Mecrisp (ARM) when I have some time. Should I expect it to work on > > 16-bit systems? > > It does not run on my current CHForth 16. > $A000 allocate and more is really too much! > Perhaps working with extra segments (8086) could work, > but then you have to use long addresses. > > Nit: don't expect that CELL exists. CELL+ and CELLS do. > > groet Coos No, I didn´t think about that aspect. The stack memory had to be reorganized and resized. It would be better to use a separate file with source code.
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| From | anton@mips.complang.tuwien.ac.at (Anton Ertl) |
|---|---|
| Date | 2015-10-10 11:03 +0000 |
| Message-ID | <2015Oct10.130320@mips.complang.tuwien.ac.at> |
| In reply to | #42470 |
Paul Rubin <no.email@nospam.invalid> writes:
>lehs <skydda.barnen@gmail.com> writes:
>> https://github.com/Lehs/BIG-INTEGER-ANS-FORTH
>> [ three 1022-bit operands ] b**mod
>> takes a half second in both SP-Forth and GForth64 at Win 10.
>
>Nice! That's fast enough to be useful for some purposes. I'd be
>interested in seeing measurements with gforth-fast on various cpus, and
>with other Forth implementations.
gforth-fast on a Core i7-4790K (running at 4.4GHz thanks to Turbo mode):
real 0m0.117s
user 0m0.112s
sys 0m0.000s
vfxlin 4.71 on the same machine
real 0m0.117s
user 0m0.112s
sys 0m0.000s
Strange. Let's see what the performance counters say:
perf stat -e instructions:u -e cycles:u vfxlin-4.71 "include /nfs/nfstmp/anton/VfxLinEval-4.71/Lib/Ndp387.fth include bench.fs" >/dev/null
1041236122 instructions:u # 2.08 insns per cycle
499547195 cycles:u
0.116635759 seconds time elapsed
perf stat -e instructions:u -e cycles:u /localtmp/anton/gforth/gforth-fast bench.fs >/dev/null
1595291884 instructions:u # 3.14 insns per cycle
507562915 cycles:u
0.117390969 seconds time elapsed
While VFX executes fewer instructions, apparently the dependencies are
such that this does not result in significantly better performance for
this benchmark.
- anton
--
M. Anton Ertl http://www.complang.tuwien.ac.at/anton/home.html
comp.lang.forth FAQs: http://www.complang.tuwien.ac.at/forth/faq/toc.html
New standard: http://www.forth200x.org/forth200x.html
EuroForth 2015: http://www.rigwit.co.uk/EuroForth2015/
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| From | lehs <skydda.barnen@gmail.com> |
|---|---|
| Date | 2015-10-13 12:34 -0700 |
| Message-ID | <cb669f1f-e294-4e1b-a903-822bf100ead9@googlegroups.com> |
| In reply to | #42545 |
Den lördag 10 oktober 2015 kl. 13:26:16 UTC+2 skrev Anton Ertl: > Paul Rubin <no.email@nospam.invalid> writes: > >lehs <skydda.barnen@gmail.com> writes: > >> https://github.com/Lehs/BIG-INTEGER-ANS-FORTH > >> [ three 1022-bit operands ] b**mod > >> takes a half second in both SP-Forth and GForth64 at Win 10. > > > >Nice! That's fast enough to be useful for some purposes. I'd be > >interested in seeing measurements with gforth-fast on various cpus, and > >with other Forth implementations. > > gforth-fast on a Core i7-4790K (running at 4.4GHz thanks to Turbo mode): > real 0m0.117s > user 0m0.112s > sys 0m0.000s > > vfxlin 4.71 on the same machine > real 0m0.117s > user 0m0.112s > sys 0m0.000s > > Strange. Let's see what the performance counters say: > > perf stat -e instructions:u -e cycles:u vfxlin-4.71 "include /nfs/nfstmp/anton/VfxLinEval-4.71/Lib/Ndp387.fth include bench.fs" >/dev/null > 1041236122 instructions:u # 2.08 insns per cycle > 499547195 cycles:u > > 0.116635759 seconds time elapsed > > perf stat -e instructions:u -e cycles:u /localtmp/anton/gforth/gforth-fast bench.fs >/dev/null > 1595291884 instructions:u # 3.14 insns per cycle > 507562915 cycles:u > > 0.117390969 seconds time elapsed > > While VFX executes fewer instructions, apparently the dependencies are > such that this does not result in significantly better performance for > this benchmark. > > - anton > -- > M. Anton Ertl http://www.complang.tuwien.ac.at/anton/home.html > comp.lang.forth FAQs: http://www.complang.tuwien.ac.at/forth/faq/toc.html > New standard: http://www.forth200x.org/forth200x.html > EuroForth 2015: http://www.rigwit.co.uk/EuroForth2015/ I suppose it was Linux? OBS! There was a typo in the barrett reduction word 'barmod' that caused a lot of errors for small numbers, but more rare errors for sufficiently big numbers.
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| From | Marcos Cruz <use_the_contact_page@programandala.net> |
|---|---|
| Date | 2015-10-13 18:31 +0000 |
| Message-ID | <mvjim0$3tu$1@speranza.aioe.org> |
| In reply to | #42470 |
En/Je/On 2015-10-08, Paul Rubin <no.email@nospam.invalid> escribió/skribis/wrote: >> https://github.com/Lehs/BIG-INTEGER-ANS-FORTH >> takes a half second in both SP-Forth and GForth64 at Win 10. > > Nice! That's fast enough to be useful for some purposes. I'd be > interested in seeing measurements with gforth-fast on various cpus Raspberry Pi 2 (900MHz quad-core ARM Cortex-A7) (*): ---- $ time gforth-fast BigIntANSForth.txt bignum.txt -e bye redefined rdrop redefined .r redefined s>f redefined f>s real 0m6.122s user 0m6.090s sys 0m0.010s ---- (*) http://programandala.net/en.computer.raspesis.0x07.html [:)] -- Marcos Cruz http://programandala.net
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| From | lehs <skydda.barnen@gmail.com> |
|---|---|
| Date | 2015-10-13 12:40 -0700 |
| Message-ID | <9951baeb-4ff1-42c9-a991-557051733a19@googlegroups.com> |
| In reply to | #42620 |
Den tisdag 13 oktober 2015 kl. 20:31:32 UTC+2 skrev Marcos Cruz: > En/Je/On 2015-10-08, Paul Rubin <no.email@nospam.invalid> > escribió/skribis/wrote: > > >> https://github.com/Lehs/BIG-INTEGER-ANS-FORTH > >> takes a half second in both SP-Forth and GForth64 at Win 10. > > > > Nice! That's fast enough to be useful for some purposes. I'd be > > interested in seeing measurements with gforth-fast on various cpus > > Raspberry Pi 2 (900MHz quad-core ARM Cortex-A7) (*): > > ---- > $ time gforth-fast BigIntANSForth.txt bignum.txt -e bye > redefined rdrop redefined .r redefined s>f redefined f>s > > real 0m6.122s > user 0m6.090s > sys 0m0.010s > ---- > > (*) http://programandala.net/en.computer.raspesis.0x07.html [:)] > > -- > Marcos Cruz > http://programandala.net Windows? As I wrote above: There was a typo in the barrett reduction word 'barmod' that caused a lot of errors for small numbers, but more rare errors for sufficiently big numbers.
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| From | Marcos Cruz <use_the_contact_page@programandala.net> |
|---|---|
| Date | 2015-10-14 20:20 +0000 |
| Message-ID | <mvmdf2$agf$1@speranza.aioe.org> |
| In reply to | #42624 |
En/Je/On 2015-10-13, lehs <skydda.barnen@gmail.com> escribi'o/skribis/wrote: >> Raspberry Pi 2 (900MHz quad-core ARM Cortex-A7) (*): >> >> ---- >> $ time gforth-fast BigIntANSForth.txt bignum.txt -e bye >> redefined rdrop redefined .r redefined s>f redefined f>s >> >> real 0m6.122s >> user 0m6.090s >> sys 0m0.010s >> ---- > Windows? Raspbian (=Debian compiled for the Raspberry Pi). -- Marcos Cruz http://programandala.net
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| From | "WJ" <w_a_x_man@yahoo.com> |
|---|---|
| Date | 2015-10-09 05:58 +0000 |
| Message-ID | <mv7l22$kbg$1@dont-email.me> |
| In reply to | #42453 |
lehs wrote: > The speed of 64 bit GForth seems to be equal to the highly optimized SP-Forth, at least for BigInt. > > b 26359783991551070871965201979080333254038743646746158379582192038055842791146833506745978666309678710238746262325665407448047112858614221184120023774728850927701745782077979943165434355776993447809155163506304287949484786229043007193369097865681445643720004387345872800008950502312482268122160708155160328564 > b 39327375191467048647521018841730348998598651522372708158670691892420060531890655533991461398550696324722351925617448324344083141484661951392820800479947685042791549748743564268081958080246132723174581232969062661990556972176861792341905425252382562697686127413259201904144867482279552760624394742040590855602 > b 16306675630939784626502807161425612212340131109932460322238576590610976549235432503764166590338557086651302692446204937053886057954003032814801648230668894753863150108029570966337696939560565101312815273803547555619029325583815565767168841836143511237512006023630352590540140638620838094344583215840893265550 > b**mod > > takes a half second in both SP-Forth and GForth64 at Win 10. Gauche Scheme (on a Win XP laptop): (time (expt-mod 26359783991551070871965201979080333254038743646746158379582192038055842791146833506745978666309678710238746262325665407448047112858614221184120023774728850927701745782077979943165434355776993447809155163506304287949484786229043007193369097865681445643720004387345872800008950502312482268122160708155160328564 39327375191467048647521018841730348998598651522372708158670691892420060531890655533991461398550696324722351925617448324344083141484661951392820800479947685042791549748743564268081958080246132723174581232969062661990556972176861792341905425252382562697686127413259201904144867482279552760624394742040590855602 16306675630939784626502807161425612212340131109932460322238576590610976549235432503764166590338557086651302692446204937053886057954003032814801648230668894753863150108029570966337696939560565101312815273803547555619029325583815565767168841836143511237512006023630352590540140638620838094344583215840893265550 )) ; real 0.094 ; user 0.094 ; sys 0.000 13589152355661418800480923196880892958242540305591911682228289531245831992616543 54015304607565049742334138806783476234241745587301651007622341259308053962569610 43240764866117547156296134403689228799197376998122532074740059603789432043783522 66794545844684513362891786202126506784931492440650088987888029494246 Less than a tenth of a second.
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| From | lehs <skydda.barnen@gmail.com> |
|---|---|
| Date | 2015-10-08 23:08 -0700 |
| Message-ID | <038e2acd-97de-40a9-bdee-0371601a0eb2@googlegroups.com> |
| In reply to | #42475 |
Yes, that's more what I'm aiming for! The nice thing is that the code is very ordinary Forth and that 'garbage collection' is manually with bdrop etc.
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| From | mhx@iae.nl |
|---|---|
| Date | 2015-10-09 00:30 -0700 |
| Message-ID | <7548ac99-5e92-4081-b85f-17b76998bf96@googlegroups.com> |
| In reply to | #42475 |
On Friday, October 9, 2015 at 8:00:32 AM UTC+2, WJ wrote: > lehs wrote: > > > The speed of 64 bit GForth seems to be equal to the highly optimized > > SP-Forth, at least for BigInt. > > > > b 26359783991551070871965201979080333254038743646746158379582192038055842791146833506745978666309678710238746262325665407448047112858614221184120023774728850927701745782077979943165434355776993447809155163506304287949484786229043007193369097865681445643720004387345872800008950502312482268122160708155160328564 > > b 39327375191467048647521018841730348998598651522372708158670691892420060531890655533991461398550696324722351925617448324344083141484661951392820800479947685042791549748743564268081958080246132723174581232969062661990556972176861792341905425252382562697686127413259201904144867482279552760624394742040590855602 > > b 16306675630939784626502807161425612212340131109932460322238576590610976549235432503764166590338557086651302692446204937053886057954003032814801648230668894753863150108029570966337696939560565101312815273803547555619029325583815565767168841836143511237512006023630352590540140638620838094344583215840893265550 > > b**mod > > > > takes a half second in both SP-Forth and GForth64 at Win 10. > > Gauche Scheme (on a Win XP laptop): > > (time (expt-mod > 26359783991551070871965201979080333254038743646746158379582192038055842791146833506745978666309678710238746262325665407448047112858614221184120023774728850927701745782077979943165434355776993447809155163506304287949484786229043007193369097865681445643720004387345872800008950502312482268122160708155160328564 > 39327375191467048647521018841730348998598651522372708158670691892420060531890655533991461398550696324722351925617448324344083141484661951392820800479947685042791549748743564268081958080246132723174581232969062661990556972176861792341905425252382562697686127413259201904144867482279552760624394742040590855602 > 16306675630939784626502807161425612212340131109932460322238576590610976549235432503764166590338557086651302692446204937053886057954003032814801648230668894753863150108029570966337696939560565101312815273803547555619029325583815565767168841836143511237512006023630352590540140638620838094344583215840893265550 > )) > > ; real 0.094 > ; user 0.094 > ; sys 0.000 > 13589152355661418800480923196880892958242540305591911682228289531245831992616543 54015304607565049742334138806783476234241745587301651007622341259308053962569610 43240764866117547156296134403689228799197376998122532074740059603789432043783522 66794545844684513362891786202126506784931492440650088987888029494246 > > Less than a tenth of a second. What's that in HEX ? FORTH> TIMER-RESET vbase vexp vmod V^V RR CR HEX .VNUM DECIMAL CR .ELAPSED 135A,0226,6553,72F9,D981,97B2,166F,B297,E06F,4972,C9DA,5212,9C72,02A2,7F0F,9360,D80A,3CA3,9676,B7EF,5C20,6D92,93C5,6C4A,B5E8,E44E,F540,DBF9,ABBF,7DCB,F350,4173,1F3B,C2E5,E64A,30F6,EA9C,57BA,73E1,7212,F169,DC50,BD55,6523,92A7,9156,CF29,B0CE,AE1F,8BB4,B837,9E33,3D2B,2B9E,6CBE,A639,0007,67D9,EE29,8291,45EA,EE7A,0A37,6BE6 0.026 seconds elapsed. ok ( no libraries, high-level Forth only ) -marcel
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