Builtin, unlimited precision, big integer arithmetik
Builtin, unlimited precision, big integer arithmetik
The next version of newLISP features builtin, unlimited precision, big integer arithmetik. As I am currently travelling, I cannot make a full development release until the second week of May. Anybody interested can find binaries for OSX and Windows here:
http://www.newlisp.org/downloads/develo ... nprogress/
Linux users would have to compile from the source package.
Details on how to use this new feature can be found here:
http://www.newlisp.org/downloads/develo ... ml#big_int
http://www.newlisp.org/downloads/develo ... nprogress/
Linux users would have to compile from the source package.
Details on how to use this new feature can be found here:
http://www.newlisp.org/downloads/develo ... ml#big_int
Re: Builtin, unlimited precision, big integer arithmetik
Hello Lutz,
Great new option.
Regards
Great new option.
Any chance to post also a DLL binary?Anybody interested can find binaries for OSX and Windows here:
Regards
HansPeter
Re: Builtin, unlimited precision, big integer arithmetik
Hello, Lutz.
It's fine!
I have just stated The Euler Project in newLISP.
And I translated newLISPmanual to Japanese.
Then, I have some opinions.
line 16521653
line 56295632
line 1660716609
But, there is in this manual.
Which is right?
I am glad to see local there.
Thanks,
It's fine!
I have just stated The Euler Project in newLISP.
And I translated newLISPmanual to Japanese.
Then, I have some opinions.
line 16521653
↓Integers are 64bit numbers including the sign bit 8.9.7). Valid integers
are numbers between 9,223,372,036,854,775,808 and
maybe.Integers are 64bit numbers (including the sign bit, 32bit before version 8.9.7).
Valid integers are numbers between 9,223,372,036,854,775,808 and
line 56295632
bitint is string operator? My mistake, sorry.(2013/4/14 added)<tr>
<td><a href="#bigint">bigint</a></td>
<td>convert a number to big integer format</td>
</tr>
line 1660716609
I have heared that local is deprecated and have been taken out of the documentation.<p>See also <a href="#letn">letn</a> for an incremental or nested form of
<tt>let</tt> and local for initializing to <tt>nil</tt>. See <a href="#local">local</a>
for automatic initialization of variables to <tt>nil</tt>.</p>
But, there is in this manual.
Which is right?
I am glad to see local there.
Thanks,
Last edited by johu on Sun Apr 14, 2013 7:17 am, edited 1 time in total.
Re: Builtin, unlimited precision, big integer arithmetik
Thanks Lutz.
It's very nice to feel that the tool in hand becomes much more powerful.
Works all right under Linux for now.
It's very nice to feel that the tool in hand becomes much more powerful.
Works all right under Linux for now.

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Re: Builtin, unlimited precision, big integer arithmetik
Nice addition, Lutz. Out of interest, why did you decide to add big number support now?
Re: Builtin, unlimited precision, big integer arithmetik
My interest in big numbers came to life when doing the Euler project examples. Over the years people also have asked for big integer support again and again and working with the GMP GNU gmp.lsp module was a bit clumsy, because all numbers have to be delievered to the GMP library as strings and special operators be used. Having large integer support built into the language is much nicer.
Thanks to everybody for comments and manual corrections. The bigint function now also converts from strings, like its smaller sibling int. The binaries will be updated later, when I have acccess to OSX.
There is an interesting site at google about large numbers by Sbiis Saibian here:
https://sites.google.com/site/largenumbers/home
the following words from the introduction:
While the venues large numbers can open up in your mind can be quite rewarding, be warned that it must by necessity end in human futility. For we can no more imagine the end of numbers than we could wait out eternity. An earnest study of large numbers will completely shift the way you think about infinity, and your mind shall be forever changed for it.
Thanks to everybody for comments and manual corrections. The bigint function now also converts from strings, like its smaller sibling int. The binaries will be updated later, when I have acccess to OSX.
There is an interesting site at google about large numbers by Sbiis Saibian here:
https://sites.google.com/site/largenumbers/home
the following words from the introduction:
While the venues large numbers can open up in your mind can be quite rewarding, be warned that it must by necessity end in human futility. For we can no more imagine the end of numbers than we could wait out eternity. An earnest study of large numbers will completely shift the way you think about infinity, and your mind shall be forever changed for it.

 Posts: 2037
 Joined: Tue Nov 29, 2005 8:28 pm
 Location: latiitude 50N longitude 3W
 Contact:
Re: Builtin, unlimited precision, big integer arithmetik
Interesting. I'm going to play with it soon... And there's some editing work required in various other places, too, which I might get round to some time.
(arithmetiC, by the way, not arithmetiK), although it look good with a K...
(arithmetiC, by the way, not arithmetiK), although it look good with a K...
Re: Builtin, unlimited precision, big integer arithmetik
Bist du wahnsinnig?cormullion wrote:(arithmetiC, by the way, not arithmetiK), although it look good with a K...
http://de.wikipedia.org/wiki/Arithmetik
 xytroxon ;o)
"Many computers can print only capital letters, so we shall not use lowercase letters."
 Let's Talk Lisp (c) 1976
 Let's Talk Lisp (c) 1976

 Posts: 2037
 Joined: Tue Nov 29, 2005 8:28 pm
 Location: latiitude 50N longitude 3W
 Contact:
Re: Builtin, unlimited precision, big integer arithmetik
Ja veilleicht, ein bißchen, aber für programmieren mit NeueLisp wir mussen alles Englisch sprachen.xytroxon wrote:Bist du wahnsinnig?
(Sorry, Lutz, my German lessons are a distant memory...)
Re: Builtin, unlimited precision, big integer arithmetik
Ditto...
Since the death of my 4 German speaking great grandparents nearly 50 years ago, sadly, our family retains very few German words in their daily vocabulary.
Lutz's amazing command of the American er. "English" language is almost flawless.
Almost ;o)
 xytroxon
Since the death of my 4 German speaking great grandparents nearly 50 years ago, sadly, our family retains very few German words in their daily vocabulary.
Lutz's amazing command of the American er. "English" language is almost flawless.
Almost ;o)
 xytroxon
"Many computers can print only capital letters, so we shall not use lowercase letters."
 Let's Talk Lisp (c) 1976
 Let's Talk Lisp (c) 1976
Re: Builtin, unlimited precision, big integer arithmetik
"almost", that is why I always appreciate help on manual changes and additions :)almost flawless
Updated binaries with speedups on / and % and bigint working on strings too, are here:
http://www.newlisp.org/downloads/develo ... nprogress/
The OSX executable is made on 10.8 Intel Mountain Lion  cannot make PPC executables at the moment.
Re: Builtin, unlimited precision, big integer arithmetik
update of binary executables including osx ppc here:
http://www.newlisp.org/downloads/develo ... nprogress/
http://www.newlisp.org/downloads/develo ... nprogress/
Re: Builtin, unlimited precision, big integer arithmetik
(λx. x x) (λx. x x)
Re: Builtin, unlimited precision, big integer arithmetik
hi.
Does bigint function allow nonnumerical characters?
and, what value returns with a floatingpoint string?
Does bigint function allow nonnumerical characters?
Code: Select all
newLISP v.10.5.0 32bit on Win32 IPv4/6 UTF8 libffi, options: newlisp h
> (bigint "HELLO")
264111L
> (bigint "")
(null)L
> (bigint "L")
; segmentation fault
Code: Select all
> (int "3.14")
3
> (bigint "3.14")
2814L ; expect 3L
Re: Builtin, unlimited precision, big integer arithmetik
At the moment bigint only allows wellformed integers when the argument is a string. Floats must be passed as floats not in a string.
thanks Kosh for reporting this.
see also here: http://www.newlisp.org/downloads/develo ... nprogress/
Code: Select all
> (bigint 3.14)
3L
> (bigint 123e20)
12300000000000000000000L
> (bigint 1234567)
1234567L
> (bigint "1234567890")
1234567890L
> (bigint "1234567890123456789012345")
1234567890123456789012345L
>
see also here: http://www.newlisp.org/downloads/develo ... nprogress/
Re: Builtin, unlimited precision, big integer arithmetik
Thanks, Lutz.
I found another problem.
division operator (/) with bigint works strangely.
regards.
I found another problem.
division operator (/) with bigint works strangely.
Code: Select all
> (/ 123000000000L 1)
123L
> (/ 12300000000000000000000000000L 1)
12300000000000000001L
> (/ 123000000000000000000000000000L 1)
123000000001^[,),(*,(L
Re: Builtin, unlimited precision, big integer arithmetik
Thanks Kosh.
I wish that would have been detected during the three weeks of the development version 10.4.8.
I have a qaspecifictests/qabigint and qaspecifictests/qafactorfibo running millions of operations but not testing for trailing/embedded 0 bigint digits in division.
ps: please keep on testing
I wish that would have been detected during the three weeks of the development version 10.4.8.
I have a qaspecifictests/qabigint and qaspecifictests/qafactorfibo running millions of operations but not testing for trailing/embedded 0 bigint digits in division.
ps: please keep on testing
Re: Builtin, unlimited precision, big integer arithmetik
all fixed now here: http://www.newlisp.org/downloads/develo ... nprogress/
I will do a development release on Monday/Tuesday. Although 10.5.1 will be identical to 10.5.0 except for big integer division fixes, I want to wait a little before doing a Maintenance Release 10.5.2. Just want to be sure nothing else pops up in the big integer area.
The whole thing was pretty intense to develop it. Most of the code, you see on the net, doesn't have good performance, and it took the whole April and part of May to get speed, trying out various approaches. The division algorithm is the old grade school algorithm, but tweaked for base 1000,000,000 and using float arithmetik on bigint digits. Others have done this before, but I couldn't find anything appropriate readymade.
The code designed in 10.5.0 didn't handle certain edge cases, which arise when doing mixed float and integer arithmetik. That is why Kosh discovered problems with trailing zeros. Turns out that embedded and base 10^9 aligned zeros didn't work as well and trailing zero's in results where also suppressed.
I hope everything is fine now. Whoever understands something about big integer arithmetic, please test!
My own test routines are in newlisp10.5.1/qaspecifictests/qabigint
I will do a development release on Monday/Tuesday. Although 10.5.1 will be identical to 10.5.0 except for big integer division fixes, I want to wait a little before doing a Maintenance Release 10.5.2. Just want to be sure nothing else pops up in the big integer area.
The whole thing was pretty intense to develop it. Most of the code, you see on the net, doesn't have good performance, and it took the whole April and part of May to get speed, trying out various approaches. The division algorithm is the old grade school algorithm, but tweaked for base 1000,000,000 and using float arithmetik on bigint digits. Others have done this before, but I couldn't find anything appropriate readymade.
The code designed in 10.5.0 didn't handle certain edge cases, which arise when doing mixed float and integer arithmetik. That is why Kosh discovered problems with trailing zeros. Turns out that embedded and base 10^9 aligned zeros didn't work as well and trailing zero's in results where also suppressed.
I hope everything is fine now. Whoever understands something about big integer arithmetic, please test!
My own test routines are in newlisp10.5.1/qaspecifictests/qabigint