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SandBox Aldor Semantics  ← ↑ →  SandBox Arrays

SandBox Aldor Sieve
  
last edited 13 years ago by Bill Page 

From section 1.2 of Aldor Users Guide



    

  • http://www.aldor.org/docs/HTML/chap1.html
    • 






sieve.as


A prime number sieve to count primes <= n.




\begin{aldor}
# include "axiom.as"


import from Boolean, Integer, NonNegativeInteger;


sieve(n: Integer): Integer  == {
        isprime: OneDimensionalArray Boolean := new(n::NonNegativeInteger, true);
        np:Integer := 0;
        for p in 2..n | isprime p repeat {
                np := np + 1;
                for i in (p+p)..n by p repeat isprime i := false;
        }
        np
}




\end{aldor}




\begin{axiom}


Old GCL version use:
--)lisp (si::allocate-contiguous-pages 1500 t)
--)lisp (si::allocate 'sfun 50 t)




for i in 1..4 repeat
        n := 10^i
        outputList ["There are ", sieve n, " primes <= ", n]
\end{axiom}


To run this program on your own computer you need linux and
Axiom+Aldor from AxiomBinaries.



    

  1. Save the program source as a file called 'sieve.as':

      $ vi sieve.as

    

    2. 

  2. Start Axiom:

      $ AXIOMsys

    

    3. 

  3. Compile the program:

      (1) -> )compile sieve.as

    

    4. 

  4. Run it:

        for i in 1..6 repeat ( _
        n := 10^i; _
        outputList ["There are ", sieve n, " primes <= ", n] _
    )

    

    5. 







    Some or all expressions may not have rendered properly,
    because Axiom returned the following error:
Error: export FRICAS=/usr/local/lib/fricas/target/x86_64-unknown-linux; export ALDORROOT=/usr/local/aldor/linux/1.1.0; export PATH=$ALDORROOT/bin:$PATH; export HOME=/var/zope2/var/LatexWiki; ulimit -t 600; export LD_LIBRARY_PATH=/usr/local/lib/fricas/target/x86_64-unknown-linux/lib; LANG=en_US.UTF-8 $FRICAS/bin/FRICASsys < /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/7979631989873472093-25px.axm
/bin/sh: /usr/local/lib/fricas/target/x86_64-unknown-linux/bin/FRICASsys: not found
Some or all expressions may not have rendered properly, because Latex returned the following error:
This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6)
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ak, danish, dutch, finnish, basque, french, german, ngerman, ibycus, greek, mon
ogreek, ancientgreek, hungarian, italian, latin, mongolian, norsk, icelandic, i
nterlingua, turkish, coptic, romanian, welsh, serbian, slovenian, estonian, esp
eranto, uppersorbian, indonesian, polish, portuguese, spanish, catalan, galicia
n, swedish, ukenglish, pinyin, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
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Package geometry Warning: `lmargin' and `rmargin' result in NEGATIVE (-108.405p
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Loading kernel: messages; fonts; allocations: state, direction,
utility macros; pictures: \xy, positions, objects, decorations;
kernel objects: directionals, circles, text; options; algorithms: directions,
edges, connections;  Xy-pic loaded))
(/usr/share/texmf-texlive/tex/generic/xypic/xyall.tex
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l.122 #
        include "axiom.as"
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LaTeX Warning: Characters dropped after `\end{axiom}' on input line 146.


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(see the transcript file for additional information)
Output written on 1595953042734205799-16.0px.dvi (2 pages, 1400 bytes).
Transcript written on 1595953042734205799-16.0px.log.




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