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 Topics FrontPage AldorFibonacci <-- You are here. And below an Aldor version of the Fibonacci function that resembles a definition done in Haskell. \begin{aldor} #include "axiom" Z ==> Integer; ZZ ==> Z -> Z; -- Haskell -- fiblist = 1 : 1 : (zipWith (+) fiblist (tail fiblist)) import from Z; zipWith(op: (Z,Z)->Z, f: ZZ, g: ZZ)(x: Z): Z == op(f x, g x); apply(z: Z, zz: ZZ)(x: Z): Z == if zero? x then z else zz(x-1); tail(zz: ZZ)(x: Z): Z == zz(x+1); fib(x: Z): Z == (1 1 zipWith(+, fib, tail fib)) x; \end{aldor} \begin{axiom} [fib n for n in 1..10] \end{axiom} And here the same program written for Aldor without PanAxiom. Compile and run as follows: aldor -laldor -fx fib.as && ./fib \begin{aldor} #include "aldor" #include "aldorio" Z ==> Integer; ZZ ==> Z -> Z; import from Z; zipWith(op: (Z,Z)->Z, f: ZZ, g: ZZ)(x: Z): Z == op(f x, g x); apply(z: Z, zz: ZZ)(x: Z): Z == if zero? x then z else zz(x-1); tail(zz: ZZ)(x: Z): Z == zz(x+1); fib(x: Z): Z == (1 1 zipWith(+, fib, tail fib)) x; main(): () == { import from List Z; stdout << [fib n for n in 1..10] << newline; } main(); \end{aldor} Some or all expressions may not have rendered properly, because Axiom returned the following error:Error: export AXIOM=/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 $AXIOM/bin/AXIOMsys < /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/1756294589963035967-25px.axm Killed Checking for foreign routines AXIOM="/usr/local/lib/fricas/target/x86_64-unknown-linux" spad-lib="/usr/local/lib/fricas/target/x86_64-unknown-linux/lib/libspad.so" foreign routines found openServer result -2 FriCAS Computer Algebra System Version: FriCAS 1.2.2 Timestamp: Mon Sep 30 18:53:32 UTC 2013 ----------------------------------------------------------------------------- Issue )copyright to view copyright notices. Issue )summary for a summary of useful system commands. Issue )quit to leave FriCAS and return to shell. ----------------------------------------------------------------------------- (1) -> (1) -> (1) -> (1) -> (1) -> #include "axiom" Z ==> Integer; ZZ ==> Z -> Z; -- Haskell -- fiblist = 1 : 1 : (zipWith (+) fiblist (tail fiblist)) import from Z; zipWith(op: (Z,Z)->Z, f: ZZ, g: ZZ)(x: Z): Z == op(f x, g x); apply(z: Z, zz: ZZ)(x: Z): Z == if zero? x then z else zz(x-1); tail(zz: ZZ)(x: Z): Z == zz(x+1); fib(x: Z): Z == (1 1 zipWith(+, fib, tail fib)) x; Compiling FriCAS source code from file /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/1094142832394199181-25px001.as using AXIOM-XL compiler and options -O -Fasy -Fao -Flsp -laxiom -Mno-ALDOR_W_WillObsolete -DAxiom -Y$AXIOM/algebra -I \$AXIOM/algebra Use the system command )set compiler args to change these options.  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) \write18 enabled. %&-line parsing enabled. entering extended mode (./8475219670757543889-16.0px.tex LaTeX2e <2005/12/01> Babel and hyphenation patterns for english, usenglishmax, dumylang, noh yphenation, arabic, farsi, croatian, ukrainian, russian, bulgarian, czech, slov 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. 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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 Xy-pic option: All features v.3.3 (/usr/share/texmf-texlive/tex/generic/xypic/xycurve.tex Xy-pic option: Curve and Spline extension v.3.7 curve, circles, loaded) (/usr/share/texmf-texlive/tex/generic/xypic/xyframe.tex Xy-pic option: Frame and Bracket extension v.3.7 loaded) (/usr/share/texmf-texlive/tex/generic/xypic/xycmtip.tex Xy-pic option: Computer Modern tip extension v.3.3 (/usr/share/texmf-texlive/tex/generic/xypic/xytips.tex Xy-pic option: More Tips extension v.3.3 loaded) loaded) (/usr/share/texmf-texlive/tex/generic/xypic/xyline.tex Xy-pic option: Line styles extension v.3.6 loaded) (/usr/share/texmf-texlive/tex/generic/xypic/xyrotate.tex Xy-pic option: Rotate and Scale extension v.3.3 loaded) (/usr/share/texmf-texlive/tex/generic/xypic/xycolor.tex Xy-pic option: Colour extension v.3.3 loaded) (/usr/share/texmf-texlive/tex/generic/xypic/xymatrix.tex Xy-pic option: Matrix feature v.3.4 loaded) (/usr/share/texmf-texlive/tex/generic/xypic/xyarrow.tex Xy-pic option: Arrow and Path feature v.3.5 path, \ar, loaded) (/usr/share/texmf-texlive/tex/generic/xypic/xygraph.tex Xy-pic option: Graph feature v.3.7 loaded) loaded) (/usr/share/texmf-texlive/tex/latex/tools/verbatim.sty) (/usr/share/texmf/tex/latex/graphviz/graphviz.sty (/usr/share/texmf-texlive/tex/latex/psfrag/psfrag.sty)) (/usr/share/texmf/tex/latex/sagetex.sty Writing sage input file 8475219670757543889-16.0px.sage ) (/usr/share/texmf-texlive/tex/latex/gnuplottex/gnuplottex.sty (/usr/share/texmf-texlive/tex/latex/base/latexsym.sty) (/usr/share/texmf-texlive/tex/latex/moreverb/moreverb.sty) (/usr/share/texmf-texlive/tex/latex/base/ifthen.sty)) (./8475219670757543889-16.0px.aux) (/usr/share/texmf-texlive/tex/latex/ucs/ucsencs.def) You can't use macro parameter character #' in vertical mode. l.122 # include "axiom" [1] (/usr/share/texmf-texlive/tex/latex/base/t1cmtt.fd) LaTeX Warning: Characters dropped after \end{axiom}' on input line 136. You can't use macro parameter character #' in vertical mode. l.138 # include "aldor" You can't use macro parameter character #' in horizontal mode. l.139 # include "aldorio" [2] (/usr/share/texmf-texlive/tex/latex/jknapltx/ursfs.fd) (/usr/share/texmf-texlive/tex/latex/amsfonts/umsa.fd) (/usr/share/texmf-texlive/tex/latex/amsfonts/umsb.fd) (/usr/share/texmf-texlive/tex/latex/base/ulasy.fd) [3] [4] (./8475219670757543889-16.0px.aux) ) (see the transcript file for additional information) Output written on 8475219670757543889-16.0px.dvi (4 pages, 2144 bytes). Transcript written on 8475219670757543889-16.0px.log. `

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