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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) -> <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;</aldor>
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)
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ak, danish, dutch, finnish, basque, french, german, ngerman, ibycus, greek, mon
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include "aldorio"
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(see the transcript file for additional information)
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Transcript written on 8475219670757543889-16.0px.log.
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