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Re: Printing digits of Pi
*To*: mathgroup at smc.vnet.net
*Subject*: [mg46710] Re: Printing digits of Pi
*From*: Paul Abbott <paul at physics.uwa.edu.au>
*Date*: Tue, 2 Mar 2004 19:10:08 -0500 (EST)
*Organization*: The University of Western Australia
*References*: <c215vo$8gv$1@smc.vnet.net>
*Sender*: owner-wri-mathgroup at wolfram.com
In article <c215vo$8gv$1 at smc.vnet.net>, cmduncan at mines.edu wrote:
> Hello! I am having an issue with printing the digits of Pi that mathematica
> calculates. I can get a screen print of the digits to about 20 million but
> interested in ~32 million digits.
You really are printing out 20 million digits? Why are you doing this? I
mean, why not compute and save the digits and then you can work with any
block of digits you want.
Also, I wonder what is the application. You are probably aware of
http://mathworld.wolfram.com/PiFormulas.html
and
http://www.sciencenews.org/pages/sn_arc98/2_28_98/mathland.htm
> Using the N command, I can get Mathematica
> to determine the ~32 million digits but not print them to the screen. I get
> a message "Out of Memory". Running at 4GB of physical memory should be
> sufficient? Right?
There are (sometimes very large) overheads in formatting output.
However, exceeding 4GB seems a little extreme.
Using MemoryInUse (which gives the number of bytes currently being used
to store all data in the curren session -- which does not tell the full
story) we see that about 1 extra MByte is required to print out 1
million digits.
mem = MemoryInUse[];
N[Pi, 10^6]
< output omitted >
MemoryInUse[] - mem
3579624
mem = MemoryInUse[];
N[Pi, 10^6];
MemoryInUse[] - mem
2579496
Depending on your operating system, there are (external) ways to see how
much (total) memory Mathematica is using for computation, formatting,
and output.
> Is there a way for Mathematica to create an output file
> to print the digits for a given amount (i.e. 10 million versus 100 million)?
You can easily create output files: lookup Put, Write, and Export. You
can also work within Mathematica. For example, here is a way to examine
the 1000 digits starting at the millionth digit after the decimal point:
pi = RealDigits[N[Pi, 32 10^6]];
pi[[1,Range[10^6+1,10^6+10^3]]]
> Is there a way to allow Mathematica to utilitize more physical memory than
> defaulted?
Surely this is an operating system issue, not a Mathematica issue?
Cheers,
Paul
--
Paul Abbott Phone: +61 8 9380 2734
School of Physics, M013 Fax: +61 8 9380 1014
The University of Western Australia (CRICOS Provider No 00126G)
35 Stirling Highway
Crawley WA 6009 mailto:paul at physics.uwa.edu.au
AUSTRALIA http://physics.uwa.edu.au/~paul
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