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Changes http://page.axiom-developer.org/zope/mathaction/PlayingTogether/diff
--
\begin{axiom}
series(log(exp(x)+1,x=0)
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/PlayingTogether#msg20050302174425-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--

??changed:
-  demonstrates how things are done in different systems. Currently you can use
-  both Axiom and Reduce here "online":PlayingTogether together on the same web
-  page.
  demonstrates how things are done in different systems. Currently you can
  use both Axiom and Reduce on this web site and outputs from both systems
  can appear together on the same web page.

- <font color=red>Try Axiom and Reduce "online":SandBox</font>, you can also
  "download Axiom":AxiomDownload or [build Axiom] from source code

??changed:
-- Try "Axiom online":SandBox, "download Axiom":AxiomDownload or
-  [build Axiom] from source code
- See examples of Axiom and Reduce PlayingTogether again

--
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Changes http://page.axiom-developer.org/zope/mathaction/PlayingTogether/diff
--

++added:
It said, first some explanation (like this!) then the command...
Of course there is also a syntax error, but you can fix that.

??changed:
-From unknown Wed Mar 2 18:33:24 -0600 2005
-From: 
-Date: Wed, 02 Mar 2005 18:33:24 -0600
-Subject: 
-Message-ID: <20050302183324-0600@page.axiom-developer.org>
-
-\begin{axiom}
-series(log(exp(x)+1,x=0)
-\end{axiom}


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re*mve. -> http://lastlender.com/st.html

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Changes http://page.axiom-developer.org/zope/mathaction/LatexTemplate/diff
--

--removed:
-\newenvironment{axiom}{}{}

--
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Changes http://page.axiom-developer.org/zope/mathaction/113CompileFailOnSuse92/diff
--
I can't compile FEB version of axiom on linux Suse 9.2
The error reported is:


 
gcc -c -Wall -DVOL=volatile -fsigned-char -pipe -O3 -fomit-frame-pointer  -I/home/dmo/sorg/axiom/lsp/gcl-2.6.5/o -I../h -I../gcl-tk nsocket.c
gcc -c -Wall -DVOL=volatile -fsigned-char -pipe -O3 -fomit-frame-pointer  -I/home/dmo/sorg/axiom/lsp/gcl-2.6.5/o -I../h -I../gcl-tk sfasl.c
In file included from sfasl.c:40:
sfaslbfd.c: In function `fasload':
sfaslbfd.c:266: error: structure has no member named `_raw_size'
sfaslbfd.c:291: error: structure has no member named `_raw_size'
sfaslbfd.c:356: error: structure has no member named `_raw_size'
make[4]: *** [sfasl.o] Error 1
make[4]: Leaving directory `/home/dmo/sorg/axiom/lsp/gcl-2.6.5/o'
make[3]: *** [unixport/saved_pre_gcl] Error 2
make[3]: Leaving directory `/home/dmo/sorg/axiom/lsp/gcl-2.6.5'
/bin/sh: unixport/saved_gcl: No such file or directory
make[2]: *** [gcldir] Error 127
make[2]: Leaving directory `/home/dmo/sorg/axiom/lsp'
make[1]: *** [lspdir] Error 2
make[1]: Leaving directory `/home/dmo/sorg/axiom'
make: *** [all] Error 2
dmo@k2:~/sorg/axiom>
dmo@k2:~/sorg/axiom>           


I have the same problem compiling gcl-2.6.5 alone. Gcl-2.6.6 can be compiled without any error and work fine.

What can i do?
Thanks Domenico
--
forwarded from http://page.axiom-developer.org/zope/mathaction/113CompileFailOnSuse92#msg20050304013055-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#113 Compile fail on Suse 9.2] right copypaste
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Changes http://page.axiom-developer.org/zope/mathaction/113CompileFailOnSuse92/diff
--
The right copypaste clipbord is:

gcc -c -Wall -DVOL=volatile -fsigned-char -pipe -O3 -fomit-frame-pointer  -I/home/dmo/sorg/axiom/lsp/gcl-2.6.5/o -I../h -I../gcl-tk nsocket.c
gcc -c -Wall -DVOL=volatile -fsigned-char -pipe -O3 -fomit-frame-pointer  -I/home/dmo/sorg/axiom/lsp/gcl-2.6.5/o -I../h -I../gcl-tk sfasl.c
In file included from sfasl.c:40:
sfaslbfd.c: In function `fasload':
sfaslbfd.c:266: error: structure has no member named `_raw_size'
sfaslbfd.c:291: error: structure has no member named `_raw_size'
sfaslbfd.c:356: error: structure has no member named `_raw_size'
make[4]: *** [sfasl.o] Error 1
make[4]: Leaving directory `/home/dmo/sorg/axiom/lsp/gcl-2.6.5/o'
make[3]: *** [unixport/saved_pre_gcl] Error 2
make[3]: Leaving directory `/home/dmo/sorg/axiom/lsp/gcl-2.6.5'
/bin/sh: unixport/saved_gcl: No such file or directory
make[2]: *** [gcldir] Error 127
make[2]: Leaving directory `/home/dmo/sorg/axiom/lsp'
make[1]: *** [lspdir] Error 2
make[1]: Leaving directory `/home/dmo/sorg/axiom'
make: *** [all] Error 2
dmo@k2:~/sorg/axiom>
dmo@k2:~/sorg/axiom>           

--
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Changes http://page.axiom-developer.org/zope/mathaction/112ReturnedTypeOfCompiledFunction/diff
--

??changed:
-
This following shows that functions in Axiom have types and a domain for functions may be associated with an identifier.

\begin{axiom}
dom:=(INT->INT)
f:dom
f x == x-1
\end{axiom}

However, when the function is compiled, the returned type displayed may not agree with its declared type or even its apparent compiled type and depends on the input!

\begin{axiom}
f 3
f(-3)
\end{axiom}

This has nothing to do with the declaration of <code>f</code>.

\begin{axiom}
f(x:INT):INT==x-1
f(3)
f(-3)
\end{axiom}

Not even:

\begin{axiom}
f(x:INT):INT==(x-1)::INT
f(3)
f(-3)
\end{axiom}
Or even:

\begin{axiom}
g(x:INT):NNI == 2^(sign(x)*x)::NNI
g 3
\end{axiom}

The following deliberate "error" shows the Interpreter always assumes <code>3</code> is of type <code>PositiveInteger</code>.

\begin{axiom}
f 3
f -3
\end{axiom}


Compare the type returned below for <code>g 1</code>, the retraction to <code>PositiveInteger</code> is not done.

\begin{axiom}
g(x:INT): FRAC INT == 1/x
g 1
\end{axiom}

The difference may perhaps be due to the fact that the data structure of <code>FRAC INT</code> is very different from <code>INT</code>, whereas the data structure of <code>INT</code> is identical to that of <code>PI</code>. So the explanation that the reason <code>1/1</code> is not retracted because <code>retract</code> is not always possible is not the full story.

--
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Changes http://page.axiom-developer.org/zope/mathaction/LatexTemplate/diff
--

--removed:
-\def\{{\global\advance\parenthesis by1\left\lbrace}
-\def\}{\global\advance\parenthesis by-1\right\rbrace}

--
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Changes http://page.axiom-developer.org/zope/mathaction/114MapsOnFunctionCrash/diff
--
This problem does not occur on the NAG version.

\begin{axiom}
dom:=(INT->INT)
g(f:dom):dom== x+->(f(x))^2
p(x:INT):INT == x-1
\end{axiom}

The next line crashes Axiom. (Here the crash is indicated by not showing the result for <code>q</code> which should be something like <code>theMap(LAMBDA_ibs3ze_708.174)</code> (from NAG version)

\begin{axiom}
q:= g p
\end{axiom}

Below is the transcript for the NAG version:

<pre>
G82322 (1) -> dom:= (INT->INT)

   (1)  (Integer -> Integer)
                                                                 Type: Domain
G82322 (2) -> g(f:dom):dom== x+->(f(x))^2
   Function declaration g : (Integer -> Integer) -> (Integer -> Integer
      ) has been added to workspace.
                                                                   Type: Void
G82322 (3) -> p(x:INT):INT==x-1
   Function declaration p : Integer -> Integer has been added to 
      workspace.
                                                                   Type: Void
G82322 (4) -> q:= g p
   Compiling function p with type Integer -> Integer 
   Compiling function g with type (Integer -> Integer) -> (Integer -> 
      Integer) 
</pre>
<code>+++ |*1;g;1;G82322| redefined</code>
<pre>
   (4)  theMap(LAMBDA_ibs3ze_708,174)
                                                   Type: (Integer -> Integer)
G82322 (5) -> q 3

   (5)  4
                                                        Type: PositiveInteger
</pre>
--
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Changes http://page.axiom-developer.org/zope/mathaction/114MapsOnFunctionCrash/diff
--

??changed:
-
This problem does not occur on the NAG version.

\begin{axiom}
dom:=(INT->INT)
g(f:dom):dom== x+->(f(x))^2
p(x:INT):INT == x-1
\end{axiom}

The next line crashes Axiom. (Here the crash is indicated by not showing the result for <code>q</code> which should be something like <code>theMap(LAMBDA_ibs3ze_708.174</code>) (from NAG version)

\begin{axiom}
q:= g p
\end{axiom}

Below is the transcript for the NAG version:

<pre>
G82322 (1) -> dom:= (INT->INT)

   (1)  (Integer -> Integer)
                                                                 Type: Domain
G82322 (2) -> g(f:dom):dom== x+->(f(x))^2
   Function declaration g : (Integer -> Integer) -> (Integer -> Integer
      ) has been added to workspace.
                                                                   Type: Void
G82322 (3) -> p(x:INT):INT==x-1
   Function declaration p : Integer -> Integer has been added to 
      workspace.
                                                                   Type: Void
G82322 (4) -> q:= g p
   Compiling function p with type Integer -> Integer 
   Compiling function g with type (Integer -> Integer) -> (Integer -> 
      Integer) 
</pre>
<code>+++ |*1;g;1;G82322| redefined</code>
<pre>
   (4)  theMap(LAMBDA_ibs3ze_708,174)
                                                   Type: (Integer -> Integer)
G82322 (5) -> q 3

   (5)  4
                                                        Type: PositiveInteger
</pre>

--
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Changes http://page.axiom-developer.org/zope/mathaction/114MapsOnFunctionCrash/diff
--
This page was renamed from #114 Maps on Function crash to #114 Maps on Function crash .

--
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Changes http://page.axiom-developer.org/zope/mathaction/114MapsOnFunctionCrash/diff
--

??changed:
-The next line crashes Axiom. (Here the crash is indicated by not showing the result for <code>q</code> which should be something like <code>theMap(LAMBDA_ibs3ze_708.174</code>) (from NAG version)
The next line crashes Axiom. (Here the crash is indicated by not showing the result for <code>q</code> which should be something like <code>theMap(LAMBDA_ibs3ze_708.174)</code> (from NAG version)

--
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Subject: [Axiom-developer] [#114 Maps on Function crash ] Working now (sorry)
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Changes http://page.axiom-developer.org/zope/mathaction/114MapsOnFunctionCrash/diff
--

??changed:
-From wyscc Fri Mar 4 02:52:07 -0600 2005
-From: wyscc
-Date: Fri, 04 Mar 2005 02:52:07 -0600
-Subject: Save button not working
-Message-ID: <20050304025207-0600@page.axiom-developer.org>
-
-This problem does not occur on the NAG version.
-
-\begin{axiom}
-dom:=(INT->INT)
-g(f:dom):dom== x+->(f(x))^2
-p(x:INT):INT == x-1
-\end{axiom}
-
-The next line crashes Axiom. (Here the crash is indicated by not showing the result for <code>q</code> which should be something like <code>theMap(LAMBDA_ibs3ze_708.174)</code> (from NAG version)
-
-\begin{axiom}
-q:= g p
-\end{axiom}
-[29 more lines...]


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Changes http://page.axiom-developer.org/zope/mathaction/114MapOnFunctionsCrash/diff
--
Name: '#114 Maps on Function crash ' => '#114 Map on Functions crash' 

--
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Changes http://page.axiom-developer.org/zope/mathaction/114MapOnFunctionsCrash/diff
--

++added:
\begin{axiom}
)clear all
\end{axiom}


--removed:
-)clear all

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Changes http://page.axiom-developer.org/zope/mathaction/114MapOnFunctionsCrash/diff
--
We can avoid the use of an anonymous function and use
function composition to define the functional 'g' as follows:
\begin{axiom}
)clear all
dom ==> INT -> INT

g(f:dom):dom ==
  function(x^2,sq,x)
  sq * f

p(x:INT):INT == x-1

q := g p

q 3
\end{axiom}

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Subject: [Axiom-developer] [RosettaStone] links updated after rename
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Changes http://page.axiom-developer.org/zope/mathaction/RosettaStone/diff
--

??changed:
-<FONT COLOR=purple>[Macsyma]</FONT>, <FONT COLOR=purple>[Magnus]</FONT>, <FONT COLOR=purple>[Maxima]</FONT>, <FONT COLOR=purple>[Maple]</FONT>, <FONT COLOR=purple>[Mathematica]</FONT>, <FONT COLOR=purple>[MuPAD]</FONT>, <FONT COLOR=purple>[Octave]</FONT>,
<FONT COLOR=purple>[Macsyma]</FONT>, <FONT COLOR=purple>[Magnus]</FONT>, <FONT COLOR=purple>FunctionalMapping</FONT>, <FONT COLOR=purple>[Maple]</FONT>, <FONT COLOR=purple>[Mathematica]</FONT>, <FONT COLOR=purple>[MuPAD]</FONT>, <FONT COLOR=purple>[Octave]</FONT>,

??changed:
-<TR><TD ALIGN=left NOWRAP><FONT COLOR=purple>Maxima</FONT></TD>
<TR><TD ALIGN=left NOWRAP><FONT COLOR=purple>FunctionalMapping</FONT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><FONT COLOR=purple>Maxima</FONT></TD>
<TR><TD ALIGN=left NOWRAP><FONT COLOR=purple>FunctionalMapping</FONT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

??changed:
-<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>Maxima</FONT></TT></TD>
<TR><TD ALIGN=left NOWRAP><TT><FONT COLOR=purple>FunctionalMapping</FONT></TT></TD>

--
forwarded from http://page.axiom-developer.org/zope/mathaction/RosettaStone#msg20050304070012-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/114MapOnFunctionsCrash/diff
--
Take a look at FunctionalMapping for an example of this sort thing
written in SPAD.
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Changes http://page.axiom-developer.org/zope/mathaction/Maxima/diff
--

??changed:
-diff(x^2,x)
-
-From unknown Thu Aug 26 03:14:57 -0500 2004
-From: 
-Date: Thu, 26 Aug 2004 03:14:57 -0500
-Subject: 
-Message-ID: <20040826031457-0500@page.axiom-developer.org>
-
-\begin{maxima}
-diff(x^2,x)
-\end{maxima}
\begin{axiom}
)abbrev package TEST1 Test1
++ Description: various Currying operations.
Test1(A:SetCategory):_
  MPcat == MPdef where
    B   ==>  Integer
 
    MPcat ==  with
        g:(A->B) -> (A ->B)
    MPdef == add
 
        MappingPackageInternalHacks3(A, B, B)
 
        fab:  A -> B
        sq: B -> B

        sq(x)== (x*x)$B
        g(fab) == comp(sq,fab,#1)
\end{axiom}

\begin{axiom}
p(x:INT):INT == x-1
p 4
\end{axiom}


\begin{axiom}
q := g p
q 4
\end{axiom}

--
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Changes http://page.axiom-developer.org/zope/mathaction/FunctionalMapping/diff
--

??changed:
-++ Description: various Currying operations.
++ Description: Test of Functional mapping and composition.

--
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Changes http://page.axiom-developer.org/zope/mathaction/FunctionalMapping/diff
--
This page was renamed from Maxima to FunctionalMapping.

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Changes http://page.axiom-developer.org/zope/mathaction/113CompileFailOnSuse92/diff
--

??changed:
-cd axiom      <<=== or whereever the top of the build tree exists
cd ~/sorg/axiom

??changed:
-Tim Daly 
-daly@axiom-developer.org
Tim Daly daly at axiom-developer dot org

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Changes http://page.axiom-developer.org/zope/mathaction/113CompileFailOnSuse92/diff
--
There are two solutions, one of which I'll pursue and the other
which you can take in the short term.

I'll work on making GCL work on 2.6.6.

In the short term you can try the following:


It appears that Suse requires different GCL options during the
configure. Follow these steps:

cd axiom      <<=== or whereever the top of the build tree exists
export AXIOM=`pwd`/mnt/linux
export PATH=$AXIOM/bin:$PATH
make clean
edit Makefile.pamphlet

change the line that reads:

<<GCLOPTS>>=
GCLOPTS="--enable-vssize=65536*2 --enable-statsysbfd --enable-maxpage=128*1024"
@

to read:


<<GCLOPTS>>=
"--enable-vssize=65536*2 --enable-locbfd --disable-dynsysbfd --disable-statsysbfd --enable-maxpage=128*1024"
@

save the file.

make


if this succeeds let me know and I'll make a new Suse stanza.
If this fails let me know.

Tim Daly 
daly@axiom-developer.org
--
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	fixed
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Changes http://page.axiom-developer.org/zope/mathaction/96NoTextBeforeAxiomCommandInComment/diff
--
I modified the regular expressions that scripts ReplaceInlineAxiom.py and
ReplaceInlineReduce.py use to search for commands embedded in the text.
The previous version used a negative look-behind for the ! escape character
in combination the start of string ^ character. This test failed if there
was no character preceeding the first !\begin{axiom} or !\begin{reduce}.
I simply removed the start of line requirement. As a result \\begin it
is also now possible to indent equations properly in structured text.

* See SandBox for an example of the use of such indentation.

* Comments that start with commands should now also work.

* Let me know if this causes any unexpected behaviour.

* I am monitoring SandBox and a few other pages to see
  what sort of problems new users have when then experiment
  with entering commands. I think/hope that the web site is
  getting a little easier to understand for the novice.

--
forwarded from http://page.axiom-developer.org/zope/mathaction/96NoTextBeforeAxiomCommandInComment#msg20050304133041-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/96NoTextBeforeAxiomCommandInComment/diff
--

??changed:
-was no character preceeding the first !\begin{axiom} or !\begin{reduce}.
was no character preceeding the first \\begin{axiom} or \\begin{reduce}.

--
forwarded from http://page.axiom-developer.org/zope/mathaction/96NoTextBeforeAxiomCommandInComment#msg20050304134614-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/FunctionalMapping/diff
--

++added:
This simple package defines an function g which operates on some
function with domain from set and co-domain from Ring and returns
the "square" of that function.

??changed:
-Test1(A:SetCategory):_
-  MPcat == MPdef where
-    B   ==>  Integer
- 
-    MPcat ==  with
-        g:(A->B) -> (A ->B)
-    MPdef == add
- 
-        MappingPackageInternalHacks3(A, B, B)
- 
-        fab:  A -> B
-        sq: B -> B
-
-        sq(x)== (x*x)$B
-        g(fab) == comp(sq,fab,#1)
Test1(A:SetCategory,B:Ring):_
    with  g:(A->B) -> (A ->B) == add
        MappingPackage3(A, B, B)
        -- which provides the operator * for functional composition
        sq(x:B):B == (x*x)$B
        -- then all we need is multiplication from some Ring
        g(f:A->B) == sq*f

++added:
The call to 'MapplingPackage3' to construct a functional composition
of the right signature seems quite novel to me. I learned this from
reading MappingPackage3 in 'source/algebra/mappkg.spad'

Here we apply g to a function over the Ring Integer

??changed:
-p(x:INT):INT == x-1
-p 4
pINT(x:INT):INT == x-1
qINT := g pINT
qINT 5

??changed:
-
This own is over the Ring Float

??changed:
-q := g p
-q 4
pFLOAT(x:FLOAT):FLOAT == x-1
qFLOAT := g pFLOAT
qFLOAT(5.1)

--
forwarded from http://page.axiom-developer.org/zope/mathaction/FunctionalMapping#msg20050304145449-0600@page.axiom-developer.org



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Hi *,

Right away I am much busy with Maple/MuPAD/Mathematica but I plan
to resume further AXIOM automated testing as soon as I could do.
This said about the overload, I already miss AXIOM... and AXIOM
developers ;)

It was very useful and helpful to have a ready-to-use Windows
executable. (By the way, there is a very user-friendly feature
in AXIOM by November 30, 2004, you can set the cursor at the
prompt and click with the right button, and see the buffer
pasted. It was lost in the next 2 releases, what a pity!)

I was wondering is it possible to have the Windows executable
available for the most recent release?

Thanks in advance for the comments!


Best wishes,

Vladimir Bondarenko

http://www.cybertester.com/
http://maple.bug-list.org/
http://www.CAS-testing.org/




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Changes http://page.axiom-developer.org/zope/mathaction/FunctionalMapping/diff
--

??changed:
-Test1(A:SetCategory,B:Ring):_
Test1(A:SetCategory,B:Ring):

??changed:
-The call to 'MapplingPackage3' to construct a functional composition
The call to 'MappingPackage3' to construct a functional composition

??changed:
-This own is over the Ring Float
This one is over the Ring Float

++added:

And over the Ring of 2x2 matrices of rational numbers
\begin{axiom}
MAT:=SquareMatrix(2,Fraction Integer)
pMAT(x:MAT):MAT == x-1
qMAT := g pMAT
s:=matrix [[1/2,2/3],[3/4,1]]
qMAT s
\end{axiom}

--
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Vladimer,

The algebra, except for a few bug fixes, is unchanged so the windows
port is waiting for other parts since the browser and the graphics do
not yet work.  I'm working on a port of these important pieces. 
Portable GUI programs are challenging so the work is going rather 
more slowly than I'd like but progress is happening here.

We also need a working port on several other platforms, such as the
MAC, where Axiom does not yet run. Pierre and Chuck have made some
strides in this area.

Tim
  



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	property change
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Changes http://page.axiom-developer.org/zope/mathaction/96NoTextBeforeAxiomCommandInComment/diff
--
Status: open => testing 

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Changes http://page.axiom-developer.org/zope/mathaction/115ColorHighlightingOfAxiomCompilerOutput/diff
--
I have made some simple changes to improve how the output of
the SPAD compiler is displayed on MathAction. Axiom commands
and SPAD code are still highlighted in lightgreen. But the
messages generated by compiler are now showed with a lightgray
background. Like this:
\begin{axiom}
)abbrev package SVT1 SymbolVariableTest1
SymbolVariableTest1(): Spec == Imp where
  Spec ==  with 
    symVar1:() -> Boolean
  Imp == add
    symVar1()==
      y: Variable(y) := y
      x: Variable(y) := y
      t: Boolean := (x = y)
\end{axiom}

I think this makes the page easier to read. Since the compiler
is quite verbose, without this color coding it was sometimes
hard to distinguish the input SPAD code from the compiler
output.

The FunctionalMapping page contains another example.

Comments welcome!
--
forwarded from http://page.axiom-developer.org/zope/mathaction/115ColorHighlightingOfAxiomCompilerOutput#msg20050304171413-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/FunctionalMapping/diff
--
This is an excellent idea. Beautiful! Thanks for this new page, too.
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Changes http://page.axiom-developer.org/zope/mathaction/115ColorHighlightingOfAxiomCompilerOutput/diff
--

??changed:
-messages generated by compiler are now showed with a lightgray
messages generated by the compiler are now shown with a lightgrey

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From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: 'Vladimir Bondarenko' <vb@cybertester.com>
Subject: RE: [Axiom-developer] [Q] Windows next version executable ?
Date: Fri, 4 Mar 2005 21:15:02 -0500 
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On Friday, March 04, 2005 3:46 PM Vladimir Bondarenko wrote:

> ...
> (By the way, there is a very user-friendly feature in
> AXIOM by November 30, 2004, you can set the cursor at the
> prompt and click with the right button, and see the buffer
> pasted. It was lost in the next 2 releases, what a pity!)

So far as I know, nothing intentional changed in the Windows
version of Axiom since it's first release that would affect
how the cursor and right button work.

In fact, (at least under Windows XP) these features are
controlled by Properties associated with the Windows shortcut
that is used to start Axiom. If you start from an icon on
the desktop, you can point at the icon with the mouse, right-
click, and then click Properties and then Options. Check the
box that says 'Quick Edit mode'.

If you start from the Start menu, you can also right-click
and choose Properties on the Axiom menu item.

If you already have the Axiom window open, you can also
change this setting by right-clicking on the top bar, click
Properties and put a checkmark beside 'Quck Edit mode'.
Windows will ask you if you want to make the changes permenant.

If there was in diference between the different versions
of Axiom for Windows, it might be due to the installer
program making random changes to these settings. But it was
not by design. It might also depend on the defaults for
your particular system and/or the specific version of Windows
that you are using.

> I was wondering is it possible to have the Windows
> executable available for the most recent release?

Version 0.1.4 on http://page.axiom-developer.org/zope/mathaction
is up to date with the February linux version except for the
missing graphics and hypertex functionality (still missing :(

Regards,
Bill Page.



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Changes http://page.axiom-developer.org/zope/mathaction/116HyperdocLinksAndSpadFiles/diff
--
I was not able to find, under hyperdoc, certain spad files because their names were changed. Example: DIRPROD.spad used to be vector.spad and MAPHACK3.spad used to be mappkg.spad. Both files are still in their original names. New users will not be able to figure out the change in names. Unfortunately, browsing in Hyperdoc did not find DIRPROD or Mapping* (this is Fedora FC2, Feb 2005 version compiled). Please fix this (be careful that any change in file names will affect compiling of other spad files). 

Perhaps the change in file names is unintentional, by a systemwide assumption that the source file of a constructor xxx is xxx.spad (where xxx is the abbreviation). This is not true of course because one spad file can implement many constructors.


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Changes http://page.axiom-developer.org/zope/mathaction/116HyperdocLinksAndSpadFiles/diff
--
Category: Axiom Compiler => Axiom Documentation 

--
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Changes http://page.axiom-developer.org/zope/mathaction/115ColorHighlightingOfAxiomCompilerOutput/diff
--

++added:

>From wyscc Fri Mar 4 18:14:29 -0600 2005
From: wyscc
Date: Fri, 04 Mar 2005 18:14:29 -0600
Subject: Grey background
Message-ID: <20050304181429-0600@page.axiom-developer.org>

This is an excellent idea. Beautiful! Thanks for this new page, too.

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Changes http://page.axiom-developer.org/zope/mathaction/117InheritanceOfMonoidStructureInDirectProduct/diff
--

??changed:
-
Does any one know why the direct product D of two (or more) copies of a monoid R is not implemented as a monoid in Axiom?
The scalar multiplication is implemented coordinatewise, the identity element is defined, but the monoid product between elements of D is not, and the domain is not declared as a monoid. On the other hand, if R is a ring, then the direct product is a ring. See <code>vector.spad</code>.

\begin{axiom}
NNI has Monoid
NNI2:= DirectProduct(2,NNI)
NNI2 has Monoid
a:NNI2:=directProduct([3,5])
3*a
b:NNI2:= 1
1*a
b*a
c:NNI2:=directProduct([1,1])
c*a
d:NNI2:=directProduct([1,2])
d*a
DirectProduct(2, INT) has Ring
\end{axiom}

Note how <I>smart</I> the Interpreter is to recognize that <code>c</code> is really a scalar.


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Changes http://page.axiom-developer.org/zope/mathaction/114MapOnFunctionsCrash/diff
--
Thanks to both contributions and guides to use composition. However, this is a bug still since the original code works under the NAG version. We should figure out why the open source version breaks down. Afterall, anonymous functions are convenience that the system should be able to handle by assigning intermediate variables automatically. 
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Changes http://page.axiom-developer.org/zope/mathaction/FunctionalMapping/diff
--

??changed:
-function with domain from set and co-domain from Ring and returns
function with domain from set and co-domain from Monoid and returns

??changed:
-Test1(A:SetCategory,B:Ring):
Test1(A:SetCategory,B:Monoid):

??changed:
-        -- then all we need is multiplication from some Ring
        -- then all we need is multiplication from some Monoid

??changed:
-The call to 'MappingPackage3' to construct a functional composition
The call to <code>MappingPackage3</code> to construct a functional composition

??changed:
-qFLOAT(5.1)
qFLOAT(5)

++added:
And over the Monoid of <code>NonNegativeInteger</code>
\begin{axiom}
pNNI(x:NNI):NNI == 2*x
pNNI 5
qNNI := g pNNI
qNNI 5
\end{axiom}


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Changes http://page.axiom-developer.org/zope/mathaction/115ColorHighlightingOfAxiomCompilerOutput/diff
--

??changed:
-This is an excellent idea. Beautiful! Thanks for this new page, too.
This is an excellent idea. Beautiful! Thanks for this new page (FunctionalMapping), too.

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Changes http://page.axiom-developer.org/zope/mathaction/FunctionalMapping/diff
--

??changed:
-From wyscc Fri Mar 4 18:14:29 -0600 2005
-From: wyscc
-Date: Fri, 04 Mar 2005 18:14:29 -0600
-Subject: Grey background
-Message-ID: <20050304181429-0600@page.axiom-developer.org>
-
-This is an excellent idea. Beautiful! Thanks for this new page, too.


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Subject: [Axiom-developer] run-process
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Camm,

It appears that run-process is commented out in the linux version.
Any idea why? I need this function because I'm using run-process
to start the new lisp-based browser.

Tim



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Changes http://page.axiom-developer.org/zope/mathaction/117InheritanceOfMonoidStructureInDirectProduct/diff
--

??changed:
-
-Proposed patch:
-
-Proposed patch in vector.spad
-
-DirectProductCategory
-
-<code>
Proposed patch in <code>vector.spad</code>

<code>DirectProductCategory</code>

\begin{verbatim}

??changed:
-
-DirectProduct
-
\end{verbatim}

<code>DirectProduct</code>

\begin{verbatim}

??changed:
-</code>
\end{verbatim}

--
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	Product] Proposed patch (aside: display problem)
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Changes http://page.axiom-developer.org/zope/mathaction/117InheritanceOfMonoidStructureInDirectProduct/diff
--

++added:

Proposed patch:

Proposed patch in vector.spad

DirectProductCategory

<code>
262d261
         if R has Monoid then
+++        Monoid
           _* : (R, %) -> %

DirectProduct

371d369
      if R has Monoid then
        1 == new(dim, 1)$Vector(R) pretend %
        u:% * r:R       == map(#1 * r, u)
        r:R * u:%       == map(r * #1, u)
+++     x:% * y:%       == [x.i * y.i for i in 1..dim]$Vector(R) pretend %
</code>

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Changes http://page.axiom-developer.org/zope/mathaction/118QuaternionRestriction/diff
--
*originally posted by Anonymous to AxiomInterface*

I've been checking quaternion support in Axiom. And I've found out that it is a bit too restricted. More exactly it seems to be aimed on Hammiltonian quaternions only:
\begin{axiom}
q := quatern(0,1,0,0)
q**2
\end{axiom}
This is fine over the reals. But only there. On any field with bigger group of square classes (e.g. rationals, algebraic rationals,...) we have far more quaternion algebras. 
Namely for any two suare clases $a$, $b$ there exist a quaternion algebra with $i^2 = a$ and $j^2 = b$. Is there
a way to declare such a quaternions in Axiom?

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Subject: [Axiom-developer] [Off topic] Conference announcement (call for
	contributions)
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Dear Axiom developers,

Two years ago, Tim came to France to give at a free software
conference a lecture on the next 30 years for Axiom:
http://2003.rencontresmondiales.org/program/view_topic.php?topic_id=5

So much has been achieved for Axiom since then!

I am involved this year in the organisation of the same topic Tim
attended (libre software for scientific research) in this conference
(see below).  As Axiom is now feature full and compiling on Windows,
do not you think it would be worth giving there (in Dijon, this year)
an other lecture.

  (By the way if you know other free software that would be relevant
for the call for contributions, feel free to send it to them.)

Thanks,
Frederic Lehobey

-----------------------------------------------------------------------
Call for contributions to libre software for scientific research topic
of libre software meeting 2005 (in Dijon, France, July 5th to 9th).
-----------------------------------------------------------------------
The Libre Software Meeting is a yearly free software event that takes
place in France since 2000 (originating from Bordeaux, this event is
driven by volunteers from the free software community).  The LSM 2005
takes place this year in Dijon, from July 5th to 9th:

  http://www.rencontresmondiales.org/

The language of the lectures of almost all technical sessions is
English while some of the non-technical sessions open to a wider
and local public may be in French (check on the web site).

This message is a call for contributions for the "libre
software for scientific research" session of the LSM.
http://www.rencontresmondiales.org/sections/conference/recherche_science

The goal of this topic is to highlight free software that is currently
used in scientific research or that, by its quality, deserves a wider
adoption.  The targeted audience are researchers willing to share
their experience with respect to scientific free software and
developers of these projects.  We will provide much attention to
interdisciplinary projects.

There is no programme committee (it is not a scientific conference)
and selection process is expected to remain as lightweight as
possible.  If you want to help in organising the event, you are
welcome.

Talks, in English, are expected to last around 45 minutes.  Printable
version of the lecture are not mandatory but would be very
appreciated.

If you are considering coming and preparing a talk, please send us an
email at lehobey@free.fr before the end of March 2005.

Feel free to send this mail wherever or to whom you fill it is
relevant (but beware of spamming people).

Please consider the opportunity of the libre software meeting (and its
infrastructure) to a have a gathering of the developers of the
free software for scientific research you are involved with.  We can
help you in such a matter.

Best regards,
Dr Frederic Lehobey
(RMLL 2005 volunteer for libre software for scientific research topic)



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Changes http://page.axiom-developer.org/zope/mathaction/118QuaternionRestriction/diff
--
>From the description of quatern on in section
*9.64 Quaternion*, page 734 of the
"Axiom Book":http://page.axiom-developer.org/zope/Plone/refs/books/axiom-book2.pdf#751
I think that what you want is not possible with this domain.
But since the quaternions can be thought of as a Clifford algebra,
please refer to section
*9.10.2 The Quaternion Numbers as a Clifford Algebra*,
page 483 of 
"the Book":http://page.axiom-developer.org/zope/Plone/refs/books/axiom-book2.pdf#500.
For example
\begin{axiom}
K := Fraction Polynomial Integer
m := matrix [ [a,0],[0,b] ]
H := CliffordAlgebra(2, K, quadraticForm m)
i: H := e(1)
j: H := e(2)
k: H := i * j
i^2
j^2
k^2
\end{axiom}

--
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Subject: [Axiom-developer] [#113 Compile fail on Suse 9.2] OK
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Changes http://page.axiom-developer.org/zope/mathaction/113CompileFailOnSuse92/diff
--
With 

<<GCLOPTS>>=
GCLOPTS="--enable-vssize=65536*2 --enable-locbfd --disable-dynsysbfd --disable-statsysbfd --enable-maxpage=128*1024"
@

compile is OK on Suse 9.2

Thanks
Domenico
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Subject: [Axiom-developer] [AxiomProblems] Problem with coefficients
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--
[[I had a typo in the previous case]]
I feel there is a problem with 'coefficients' operator for MultivariatePolynomial domain. Let's examine a simple case:
\begin{axiom}
Dg :=  [p3 - 3*p2 + 3*p1 - p0,3*p2 - 6*p1 + 3*p0,3*p1 - 3*p0,p0]
\end{axiom}
Now calculate coefficients in two ways:
\begin{axiom}
map(coefficients, Dg::List MPOLY([p0,p1,p2,p3],?))
\end{axiom}
and
\begin{axiom}
map(coefficients, Dg::List MPOLY([p3,p2,p1,p0],?))
\end{axiom}
As you see the list are all reversed, but... they were not padded with zeros. While in my opinion they should be - we have a given order of variables, and alone 1 in the last list suggests that this is a coefficient of p3 while it isn't. It is a coefficient of p0.


--
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--
I feel there is a problem with 'coefficients' operator for MultivariatePolynomial domain. Let's examine a simple case:
\begin{axiom}
Dg :=  [p3 - 3p2 + 3p1 - p0,3p2 - 6p1 + 3p0,3p1 - 3p0,p0]
\end{axiom}
Now calculate coefficients in two ways:
\begin{axiom}
map(coefficients, Dg::List MPOLY([p0,p1,p2,p3],?))
\end{axiom}
and
\begin{axiom}
map(coefficients, Dg::List MPOLY([p3,p2,p1,p0],?))
\end{axiom}
As you see the list are all reversed, but... they were not padded with zeros. While in my opinion they should be - we have a given order of variables, and alone 1 in the last list suggests that this is a coefficient of p3 while it isn't. It is a coefficient of p0.


--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050307134144-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--
Now my second question (extending the second one). Assume that I have a 'List', like the one before:
\begin{axiom}
[[- 1,3,- 3,1],[3,- 6,3],[- 3,3],[1]]
\end{axiom}
(which is calculated from some earlier expressions). How can I convert it into a 'SquareMatrix'. Namely I want to have a matrix like:
\begin{axiom}
A := matrix[[- 1,3,- 3,1],[3,- 6,3,0],[- 3,3,0,0],[1,0,0,0]]
\end{axiom}
so that I can do
\begin{axiom}
vp := vector[p0,p1,p2,p3]
\end{axiom}
and
\begin{axiom}
vp * A
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050307135155-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--
Vladimir,

> easiest way to see, if the output has sin(z)

Perhaps you will recall my previous reply to this question:
http://lists.gnu.org/archive/html/axiom-developer/2005-02/msg00096.html
For example:
\begin{axiom}
test:=D(sin(z)^2, z)
member?(sin(z),kernels(test)
\end{axiom}

Bill Page.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050307161620-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--

--removed:
-
-
-
-From unknown Mon Mar 7 13:41:44 -0600 2005
-From: 
-Date: Mon, 07 Mar 2005 13:41:44 -0600
-Subject: Problem with coefficients
-Message-ID: <20050307134144-0600@page.axiom-developer.org>
-
-I feel there is a problem with 'coefficients' operator for MultivariatePolynomial domain. Let's examine a simple case:
-\begin{axiom}
-Dg :=  [p3 - 3p2 + 3p1 - p0,3p2 - 6p1 + 3p0,3p1 - 3p0,p0]
-\end{axiom}
-Now calculate coefficients in two ways:
-\begin{axiom}
-map(coefficients, Dg::List MPOLY([p0,p1,p2,p3],?))
-\end{axiom}
-and
-\begin{axiom}
-[4 more lines...]

??changed:
-[[I had a typo in the previous case]]
-I feel there is a problem with 'coefficients' operator for MultivariatePolynomial domain. Let's examine a simple case:
[[If you have a typo then just click 'edit' and correct it.]]
I feel there is a problem with 'coefficients' operator for
MultivariatePolynomial domain. Let's examine a simple case:

??changed:
-As you see the list are all reversed, but... they were not padded with zeros. While in my opinion they should be - we have a given order of variables, and alone 1 in the last list suggests that this is a coefficient of p3 while it isn't. It is a coefficient of p0.
-
-
As you see the list are all reversed, but... they were not padded
with zeros. While in my opinion they should be - we have a given
order of variables, and alone 1 in the last list suggests that this
is a coefficient of p3 while it isn't. It is a coefficient of p0.

??changed:
-member?(sin(z),kernels(test)
member?(sin(z),kernels(test))

--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050307162043-0600@page.axiom-developer.org



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From: Pablo De Napoli <pdenapo@yahoo.com>
To: axiom-developer@nongnu.org
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Subject: [Axiom-developer] problems compiling axiom from CVS
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Hi,

First let me say that it is great that Axiom has been released as free software.
It seems to be a great peace of software.

I've tried to build axiom from CVS, but I've got the following errors:

In file included from sfasl.c:40:
sfaslbfd.c: In function `fasload':
sfaslbfd.c:266: error: structure has no member named `_raw_size'
sfaslbfd.c:291: error: structure has no member named `_raw_size'
sfaslbfd.c:356: error: structure has no member named `_raw_size'
make[4]: *** [sfasl.o] Error 1
make[3]: *** [unixport/saved_pre_gcl] Error 2
/bin/sh: line 1: unixport/saved_gcl: No such file or directory
make[2]: *** [gcldir] Error 127
make[1]: *** [lspdir] Error 2
make: *** [all] Error 2

This messages actually occur when compiling gcl-2.6.5, not axiom itself.
I'm using Gentoo Linux (kernel 2.6.10, glibc 2.3.4)

My question is: wouldn't it be possible to use my gcl compiler from the
system instead of building another one?
(since I've succesfully built gcl-2.6.6 on my system)

best regards,
Pablo De Npoli





	
		
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To: daly@axiom-developer.org
References: <200503051907.j25J7RU21522@localhost.localdomain>
From: Camm Maguire <camm@enhanced.com>
Date: 07 Mar 2005 18:31:08 -0500
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Subject: [Axiom-developer] Re: run-process
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Greetings!

root <daly@axiom-developer.org> writes:

> Camm,
> 
> It appears that run-process is commented out in the linux version.
> Any idea why? I need this function because I'm using run-process
> to start the new lisp-based browser.
> 

There is no good reason apart from history.  Here is a patch, just
applied against CVS, reenabling and cleaning a few things up:

=============================================================================
Index: h/linux.h
===================================================================
RCS file: /cvsroot/gcl/gcl/h/linux.h,v
retrieving revision 1.11
diff -u -r1.11 linux.h
--- h/linux.h	3 May 2004 21:36:44 -0000	1.11
+++ h/linux.h	7 Mar 2005 23:24:18 -0000
@@ -93,7 +93,7 @@
     result = (current_mask & sigmask(m) ? signal_mask(m) : 0) \
       | (current_mask & sigmask(n) ? signal_mask(n) : 0);
 
-#undef RUN_PROCESS
+#define RUN_PROCESS
 
 #define	IEEEFLOAT
        
Index: h/protoize.h
===================================================================
RCS file: /cvsroot/gcl/gcl/h/protoize.h,v
retrieving revision 1.47
diff -u -r1.47 protoize.h
--- h/protoize.h	27 Nov 2004 22:19:35 -0000	1.47
+++ h/protoize.h	7 Mar 2005 23:24:18 -0000
@@ -600,6 +600,9 @@
 gcl_init_symbol_function(void);
 
 void
+gcl_init_socket_function(void);
+
+void
 gcl_init_hash(void);
 
 void
Index: o/run_process.c
===================================================================
RCS file: /cvsroot/gcl/gcl/o/run_process.c,v
retrieving revision 1.9
diff -u -r1.9 run_process.c
--- o/run_process.c	14 Sep 2003 02:43:08 -0000	1.9
+++ o/run_process.c	7 Mar 2005 23:24:21 -0000
@@ -16,12 +16,15 @@
 
 */
 
-
+#include <string.h>
 
 #define IN_RUN_PROCESS
 #include "include.h"
 #ifdef RUN_PROCESS
 
+void setup_stream_buffer(object);
+object make_two_way_stream(object, object);
+
 #ifdef __MINGW32__
 
 #include<windows.h>
@@ -29,7 +32,6 @@
 #define PIPE_BUFFER_SIZE 2048
 
 void DisplayError ( char *pszAPI );
-void setup_stream_buffer ( object x );
 void PrepAndLaunchRedirectedChild ( HANDLE hChildStdOut,
     HANDLE hChildStdIn,
     HANDLE hChildStdErr,
@@ -462,7 +464,6 @@
   int sockets_in[2];
   int sockets_out[2];
   FILE *fp1, *fp2;
-  int pid;
   object stream_in, stream_out, stream;
 
   if (socketpair(AF_UNIX, SOCK_STREAM, 0, sockets_in) < 0)
@@ -473,11 +474,12 @@
   fp2 = fdopen(sockets_out[0], "w");
 
 #ifdef OVM_IO
+  {int pid;
   pid = getpid();
   ioctl(sockets_in[0], SIOCSPGRP, (char *)&pid);
   if( fcntl(sockets_in[0], F_SETFL, FASYNC | FNDELAY) == -1)
     perror("Couldn't control socket");
-
+  }
 #endif
 
 
@@ -502,7 +504,7 @@
  * with "C" type streams.
  */
 
-
+void
 spawn_process_with_streams(istream, ostream, pname, argv)
 object istream;
 object ostream;
@@ -531,12 +533,10 @@
 	}
     }
 
-
-
-  
 }
     
       
+void
 run_process(filename, argv)
 char *filename;
 char **argv;
@@ -550,6 +550,7 @@
   vs_top = vs_base + 2;
 }
     
+void
 siLrun_process()
 {
   int i;
camm@intech19:/fix/t1/camm/debian/gcl/gclcvs-2.7.0$ dch "Reenable run-process"
camm@intech19:/fix/t1/camm/debian/gcl/gclcvs-2.7.0$ cvs -z9 -q ci -m "Reenable run-process" debian/changelog h/linux.h h/protoize.h o/run_process.c
cvs commit: Up-to-date check failed for `h/protoize.h'
cvs [commit aborted]: correct above errors first!
camm@intech19:/fix/t1/camm/debian/gcl/gclcvs-2.7.0$ mv h/protoize.h h/protoize.h.try
camm@intech19:/fix/t1/camm/debian/gcl/gclcvs-2.7.0$ cvs -z9 -q update  h/protoize.h
cvs update: warning: h/protoize.h was lost
U h/protoize.h
camm@intech19:/fix/t1/camm/debian/gcl/gclcvs-2.7.0$ diff -u h/protoize.h.try h/protoize.h
--- h/protoize.h.try	2005-03-07 23:16:59.000000000 +0000
+++ h/protoize.h	2005-03-07 23:28:24.000000000 +0000
@@ -20,7 +20,7 @@
 /* alloc.c:1000:OF */ extern void gcl_init_alloc_function (void); /* () */
 /* alloc.c:1126:OF */ extern void free (void *ptr); /* (ptr) void *ptr; */
 /* array.c:57:OF */ extern void Laref (void); /* () */
-/* array.c:126:OF */ extern object fLsvref (object x, ufixnum i); /* (x, i) object x; unsigned int i; */
+/* array.c:126:OF */ extern object fLsvref (object x, fixnum i); /* (x, i) object x; unsigned int i; */
 /* array.c:142:OF */ extern object fLrow_major_aref (object x,fixnum i); /* (x, i) object x; int i; */
 /* array.c:190:OF */ extern object fSaset1 (object x,fixnum i, object val); /* (x, i, val) object x; int i; object val; */
 /* array.c:262:OF */ extern void siLaset (void); /* () */
@@ -543,6 +543,7 @@
 
 
 /*  readline.d */
+extern int readline_on;
 void
 gcl_init_readline_function(void);
 
@@ -600,9 +601,6 @@
 gcl_init_symbol_function(void);
 
 void
-gcl_init_socket_function(void);
-
-void
 gcl_init_hash(void);
 
 void
=============================================================================

Please let me know if you want me to errata this, or if it is
important enough for another point release on 2.6.

Take care,

> Tim
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Pablo,

Try the following:

cd ~/axiom      <== or whereever you have the axiom sources
export AXIOM=`pwd`/mnt/linux
export PATH=$AXIOM/bin:$PATH
make clean

edit Makefile.pamphlet
look for \subsubsection{The [[GCLOPTS]] configure variable}
modify the lines that read:

<<GCLOPTS>>=
GCLOPTS="--enable-vssize=65536*2 --enable-statsysbfd --enable-maxpage=128*1024"
@

to read:

<<GCLOPTS>>=
GCLOPTS="--enable-vssize=65536*2 --enable-locbfd --disable-dynsysbfd --disable-statsysbfd --enable-maxpage=128*1024"
@

save the file.

make           <=== takes a while
axiom

Please let me know if you succeed or fail.

Tim Daly
daly@axiom-developer.org




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Camm,

I'm about to upgrade to 2.6.6 and I remember there is a release tag
I need to supply. What is the release tag?

Tim



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Hi Camm.

| Please let me know if you want me to errata this, or if it is
| important enough for another point release on 2.6.

Before we attempt a point release based on run-process() it would be nice to
find some definitive cross-platform tests which cover the functionality
required by Axiom.

When I implemented that function for Windows I used pipes whereas the Unix
code uses a socket pair.  There are no AF_UNIX sockets (AF_INET is OK) or
socket pairs per se on Windows.

Cheers

Mike Thomas.





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| I'm about to upgrade to 2.6.6 and I remember there is a release tag
| I need to supply. What is the release tag?

Version_2_6_6




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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--

??changed:
-[[If you have a typo then just click 'edit' and correct it.]]
**If you have a typo then just click 'edit' and correct it.**


--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050307213159-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--
According to the Axiom book function 'coefficients' does not
include zeros in the list. Furthermore it does not say explicitly
in what order the coefficients themselves are listed. Remember
that there are also terms of degree higher than 1. In fact the
two multivariate polynomials that you used above are formally
identical
\begin{axiom}
Dg :=  [p3 - 3*p2 + 3*p1 - p0,3*p2 - 6*p1 + 3*p0,3*p1 - 3*p0,p0]
(Dg::List MPOLY([p0,p1,p2,p3],?)=Dg::List MPOLY([p3,p2,p1,p0],?))::Boolean
\end{axiom}

For you example problem, to produce a list of coefficients of
the terms of degree 1, including the zeros and in a specific
order, use the function 'coefficient' like this:
\begin{axiom}
[[coefficient(p,x,1) for x in [p0,p1,p2,p3]] for p in Dg]
\end{axiom}

And of course you can use this to produce a matrix.
\begin{axiom}
matrix %
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050307212320-0600@page.axiom-developer.org



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Subject: Re: [Axiom-developer] Re: run-process
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Greetings!  Do you mean

CVS_RSH=ssh cvs -z9 -q -d:ext:anoncvs@subversions.gnu.org:/cvsroot/gcl \
  co -d gcl-2.6.6 -r Version_2_6_6 gcl

?

Take care,

root <daly@axiom-developer.org> writes:

> Camm,
> 
> I'm about to upgrade to 2.6.6 and I remember there is a release tag
> I need to supply. What is the release tag?
> 
> Tim
> 
> 
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Got it. thanks.



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Changes http://page.axiom-developer.org/zope/mathaction/RosettaStone/diff
--

??changed:
-<TD ALIGN=left NOWRAP>http://www.ma.utexas.edu/maxima.html</TD>
<TD ALIGN=left NOWRAP>http://maxima.sourceforge.net/</TD>

--
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Subject: [Axiom-developer] [#81 French error message when building SPLTREE]
	property change
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Changes http://page.axiom-developer.org/zope/mathaction/81FrenchErrorMessageWhenBuildingSPLTREE/diff
--
Category:  => Axiom Compiler 
Severity:  => critical 
Status:  => open 

--
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Changes http://page.axiom-developer.org/zope/mathaction/119SolveReturnsWrongAnswersAndMultipleAnswersToSameTrigProblem/diff
--
Only one of these answers is correct:
\begin{axiom}
eq1:=%pi/2-asin(n/2)=asin(n)
s:=solve(eq1,n)
-- repeating is ok
s:=solve(eq1,n)
subst(eq1,s.1)::Equation Complex Float
subst(eq1,s.2)::Equation Complex Float
\end{axiom}

We should expect the same result from:
\begin{axiom}
)clear all
eq1:=%pi/2-asin(n/2)=asin(n)
s:=solve(eq1,n)
-- repeating is not ok!
s:=solve(eq1,n)
subst(eq1,s.1)::Equation Complex Float
subst(eq1,s.2)::Equation Complex Float
subst(eq1,s.3)::Equation Complex Float
subst(eq1,s.4)::Equation Complex Float
\end{axiom}

But now there are 4 results for the same equation!
--
forwarded from http://page.axiom-developer.org/zope/mathaction/119SolveReturnsWrongAnswersAndMultipleAnswersToSameTrigProblem#msg20050309202710-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomLanguage/diff
--

++added:
Overloading and Dependent Types

  Many Axiom operations have the same name but different
types and these types can be dependent on other types.
For example
\begin{axiom}
)display operation differentiate
\end{axiom}

We can see how the interpreter resolves the type::

  [14] (D,D1) -> D from D if D has PDRING D1 and D1 has SETCAT

in the following example
\begin{axiom}
)set message bottomup on
differentiate(sin(x),x)
\end{axiom}

Notice that
\begin{axiom}
EXPR INT has PDRING SYMBOL
SYMBOL has SETCAT
\end{axiom}


--
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	answers to same trig problem] Why Complex Float?
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Changes http://page.axiom-developer.org/zope/mathaction/119SolveReturnsWrongAnswersAndMultipleAnswersToSameTrigProblem/diff
--
Why do I need to use Complex Float in order to evaluate the
numeric value of these expression? Just Float will not work
\begin{axiom}
subst(eq1,s.2)::Equation Float
\end{axiom}
--
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Changes http://page.axiom-developer.org/zope/mathaction/119SolveReturnsWrongAnswersAndMultipleAnswersToSameTrigProblem/diff
--

??changed:
-subst(eq1,s.2)::Equation Float
asin(1/2)::Float
asin(1/2)::Complex Float

--
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	answers to same trig problem] Why Complex Float?
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Changes http://page.axiom-developer.org/zope/mathaction/119SolveReturnsWrongAnswersAndMultipleAnswersToSameTrigProblem/diff
--

++added:

<pre>From: wyscc, Thur, 10 Mar 2005 08:16:00</pre>

Of course you don't, from a mathematical view point, and the problem is apparently the Interpreter needs help. If you put the argument into <code>Float</code> or the expression into <code>Expression Float</code>, Axiom will oblige.
\begin{axiom}
asin(1/2::Float)
asin(1/2)::Expression Float
\end{axiom}
But in fact, even coercion to <code>Complex Float</code> won't always work.
\begin{axiom}
asin(%i/2)
asin(%i/2)::Complex Float
\end{axiom}
There is no modemap from <code>Expression Integer</code> to <code>Complex Float</code> (Use hyperdoc <code>Browse, Selectable</code> to search, with wild character in the name field).  This is reasonable since it is not possible in general to evaluate numerically a symbolic expression. I believe the Interpreter actually tries this:
\begin{axiom}
asin(1/2)$Float
asin(1/2)$(Complex Float)
\end{axiom}
which succeed in both cases because <code>asin</code> has modemaps in those domains. Exactly why it was able to change a  non-existing coercion in one case but not the other is unclear, but this seems to be because the Interpreter code is not as categorical as the compiler code and these ``smart'' coercions may be done case by case. But even this reasoning has problem:

\begin{axiom}
asin(%i/2::Complex Float)  -- easiest
asin(%i/2)::Expression Complex Float::Complex Float -- harder
asin(%i/2)$(Complex Float)  -- doesn't work
\end{axiom}


--
forwarded from http://page.axiom-developer.org/zope/mathaction/119SolveReturnsWrongAnswersAndMultipleAnswersToSameTrigProblem#msg20050310071625-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/119SolveReturnsWrongAnswersAndMultipleAnswersToSameTrigProblem/diff
--

??changed:
-subst(eq1,s.1)::Equation Complex Float
-subst(eq1,s.2)::Equation Complex Float
subst(eq1,s.1)::Equation Expression Float
subst(eq1,s.2)::Equation Expression Float

??changed:
-subst(eq1,s.1)::Equation Complex Float
-subst(eq1,s.2)::Equation Complex Float
-subst(eq1,s.3)::Equation Complex Float
-subst(eq1,s.4)::Equation Complex Float
subst(eq1,s.1)::Equation Expression Float
subst(eq1,s.2)::Equation Expression Float
subst(eq1,s.3)::Equation Expression Float
subst(eq1,s.4)::Equation Expression Float

--
forwarded from http://page.axiom-developer.org/zope/mathaction/119SolveReturnsWrongAnswersAndMultipleAnswersToSameTrigProblem#msg20050310080745-0600@page.axiom-developer.org



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	answers to same trig problem] Ah, so subtle are the Axiom types!
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Changes http://page.axiom-developer.org/zope/mathaction/119SolveReturnsWrongAnswersAndMultipleAnswersToSameTrigProblem/diff
--
William,

Thank you for the explanation. Now I "get it". The kind of
coercion that I really wanted to do was like this::

  sin(1)::Expression Float

This is taking something from Expression Integer to Expression Float
which always works even for:
\begin{axiom}
  sin(x)::Expression Float
\end{axiom}

But when x converts to Float then the whole expression can be
displayed like Float (even though it remains Expression Float!).
In the coercion we are just changing the 'ground type' of the
Expression. In fact it can be converted to Float by the function
'ground'.
\begin{axiom}
ground(sin(1)::Expression Float)
\end{axiom}

Or just
\begin{axiom}
sin(1)::Expression Float::Float
\end{axiom}

Perhaps a function 'groundIfCan' would be nice :)

But in general the interpreter should not be expected know
that such a chain of coercions is possible. Right

Neat and very general. Its the same for all trig, exp, log,
etc. functions.

So now I also agree that the coercion to Complex Float does
**not** make sense. Notice that the following error messages
should be the same:
\begin{axiom}
log(10.0 q)::Float
log(10.0 q)::Complex Integer
log(10.0 q)::Complex Float
\end{axiom}

But the Complex Float domain is doing something extra.

If this is because of the interpreter then I think it is
trying too hard and as a result it makes it difficult to
explain this behaviour to the novice user. In this case I
would prefer the interpretation to be more *categorical*
and consistent so that we can explain this subtly from the
very beginning.

Bill Page.

--
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Changes http://page.axiom-developer.org/zope/mathaction/119SolveReturnsWrongAnswersAndMultipleAnswersToSameTrigProblem/diff
--

??changed:
-log(10.0 q)::Float
-log(10.0 q)::Complex Integer
-log(10.0 q)::Complex Float
log(10.0*q)::Float
log(10.0*q)::Complex Integer
log(10.0*q)::Complex Float

--
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Changes http://page.axiom-developer.org/zope/mathaction/120OptimizeTheCompilationWithProclamation/diff
--
Change the name of code.lsp
(cf. Camm Maguire)
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Changes http://page.axiom-developer.org/zope/mathaction/75AlgebraCreatesTheFileCodeLspThisNeedsToBeRenamedBeforeCompile/diff
--

--removed:
-From BillPage Thu Jan 20 23:42:00 -0600 2005
-From: Bill Page
-Date: Thu, 20 Jan 2005 23:42:00 -0600
-Subject: (new) algebra creates the file 'code.lsp',
-	this needs to be renamed before compile
-Message-ID: <20050121-054129.sv12157.1911@savannah.nongnu.org>
-
-
-This is an automated notification sent by Savannah.
-It relates to:
-		bugs #9648, project Axiom Computer Algebra System
-
-==============================================================================
- LATEST MODIFICATIONS of bugs #9648:
-==============================================================================
-
-               Posted by: Bill Page <billpage1>
-               Posted on: 2005-01-21 05:41 (Canada/Eastern)
-    _______________________________________________________
-

--removed:
-
-From billpage Tue Jan 25 00:05:03 -0600 2005
-From: billpage
-Date: Tue, 25 Jan 2005 00:05:03 -0600
-Subject: property change
-Message-ID: <20050125000503-0600@page.axiom-developer.org>
-
-Name: '#75 algebra creates the file 'code.lsp', this needs to be renamed before compile' => '#75 algebra creates the file code.lsp, this needs to be renamed before compile' 
-Category:  => Axiom Compiler 
-Status:  => open 
-

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	See issue #75
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Changes http://page.axiom-developer.org/zope/mathaction/120OptimizeTheCompilationWithProclamation/diff
--
http://page.axiom-developer.org/zope/mathaction/75AlgebraCreatesTheFileCodeLspThisNeedsToBeRenamedBeforeCompile
--
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Subject: [Axiom-developer] [#75 algebra creates the file code.lsp,
	this needs to be renamed before compile] [#75
	algebra creates the file code.lsp,
	this needs to be renamed before compile]
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Changes http://page.axiom-developer.org/zope/mathaction/75AlgebraCreatesTheFileCodeLspThisNeedsToBeRenamedBeforeCompile/diff
--
Greetings!  I think I have a patch for Debian which does this if
anyone is interested.

Take care,

mathaction@axiom-developer.org (Bill Page) writes:

> Changes http://page.axiom-developer.org/zope/mathaction/75AlgebraCreatesTheFileCodeLspThisNeedsToBeRenamedBeforeCompile/diff
> --
> 
> --removed:
> -From BillPage Thu Jan 20 23:42:00 -0600 2005
> -From: Bill Page
> -Date: Thu, 20 Jan 2005 23:42:00 -0600
> -Subject: (new) algebra creates the file 'code.lsp',
> -	this needs to be renamed before compile
> -Message-ID: <20050121-054129.sv12157.1911@savannah.nongnu.org>
> -
> -
> -This is an automated notification sent by Savannah.
> -It relates to:
> -		bugs #9648, project Axiom Computer Algebra System
> -
> -==============================================================================
> - LATEST MODIFICATIONS of bugs #9648:
> -==============================================================================
> -
> -               Posted by: Bill Page <billpage1>
> -               Posted on: 2005-01-21 05:41 (Canada/Eastern)
> -    _______________________________________________________
> -
> 
> --removed:
> -
> -From billpage Tue Jan 25 00:05:03 -0600 2005
> -From: billpage
> -Date: Tue, 25 Jan 2005 00:05:03 -0600
> -Subject: property change
> -Message-ID: <20050125000503-0600@page.axiom-developer.org>
> -
> -Name: '#75 algebra creates the file 'code.lsp', this needs to be renamed before compile' => '#75 algebra creates the file code.lsp, this needs to be renamed before compile' 
> -Category:  => Axiom Compiler 
> -Status:  => open 
> -
> 
> --
> forwarded from http://page.axiom-developer.org/zope/mathaction/75AlgebraCreatesTheFileCodeLspThisNeedsToBeRenamedBeforeCompile#msg20050310143308-0600@page.axiom-developer.org
> 
> 
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah

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	algebra creates the file code.lsp,
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Changes http://page.axiom-developer.org/zope/mathaction/75AlgebraCreatesTheFileCodeLspThisNeedsToBeRenamedBeforeCompile/diff
--
Camm, Bill,

Why does code.lsp need to be renamed?

Tim

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	this needs to be renamed before compile] [#75
	algebra creates the file code.lsp,
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Camm, Bill,

Why does code.lsp need to be renamed?

Tim



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never mind. i found the bug report. --t



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Subject: [Axiom-developer] [#75 algebra creates the file code.lsp,
	this needs to be renamed before compile] [#75
	algebra creates the file code.lsp,
	this needs to be renamed before compile] [#75	algebra creates the
	file code.lsp, this needs to be renamed before compile]
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Changes http://page.axiom-developer.org/zope/mathaction/75AlgebraCreatesTheFileCodeLspThisNeedsToBeRenamedBeforeCompile/diff
--
never mind. i found the bug report. --t

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Changes http://page.axiom-developer.org/zope/mathaction/121BogusPropertyChangeComments/diff
--
Some very aggressive search engines (spiders) seem to be following
form action="xxxx" references in pages as well as the usual href
links. As a result probes by such greedy theives can cause
unexpected changes to wiki web pages. One such example recently
has been the triggering of the 'Change' button on the Issue pages.
The script 'changeIssueProperties' should be more careful not to
record any change if the 'Change' action is triggered with no
actually changes.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/121BogusPropertyChangeComments#msg20050310230510-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/121BogusPropertyChangeComments/diff
--
<pre>
diff -au test/Products/ZWiki/plugins/Tracker.py main/Products/ZWiki/plugins/Tracker.py
--- test/Products/ZWiki/plugins/Tracker.py      2004-11-17 14:57:59.000000000 -0600
+++ main/Products/ZWiki/plugins/Tracker.py      2005-03-10 22:55:09.000000000 -0600
@@ -296,10 +296,11 @@
             if status != self.status:
                 comment += "Status: %s => %s \n" % (self.status,status)
                 self.manage_changeProperties(status=status)
-        log = log or 'property change'
-        self.comment(text=comment, subject_heading=log, REQUEST=REQUEST)
-        self.setLastEditor(REQUEST)
-        self.reindex_object()
+        if log or (comment != ''):
+            log = log or 'property change'
+            self.comment(text=comment, subject_heading=log, REQUEST=REQUEST)
+            self.setLastEditor(REQUEST)
+            self.reindex_object()
         if REQUEST: REQUEST.RESPONSE.redirect(self.page_url())

     def category_index(self):
</pre>
--
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Changes http://page.axiom-developer.org/zope/mathaction/115ColorHighlightingOfAxiomCompilerOutput/diff
--
Status: testing => closed 

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Changes http://page.axiom-developer.org/zope/mathaction/121BogusPropertyChangeComments/diff
--
Status: open => testing 

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	answers to same trig problem] 
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Changes http://page.axiom-developer.org/zope/mathaction/119SolveReturnsWrongAnswersAndMultipleAnswersToSameTrigProblem/diff
--

??changed:
-
<pre>From: wyscc, Fri, 11 Mar 2005 00:37:00</pre>

>Perhaps a function 'groundIfCan' would be nice :)

The origin implementation of <code>ground</code> in <code>Expression</code> is from <code>FunctionSpace</code> (according to Hyperdoc) and may give an error if the argument is not from the ground domain. There is a function <code>ground?</code> which does the test. A more common (and indeed more general) function is <code>retractIfCan</code>, which would give "failed" if the retraction cannot be done. There are 8 modemaps for <code>retractIfCan</code> in <code>Expression Float</code> and you can retract to <code>Algebraic Number, Float, Fraction Integer, Fraction Polynomial Float, Integer, Kernel Expression Float, Polynomial Float</code> and <code>Symbol</code>.  As far as MathAction goes, I would prefer "failed" rather than an error, because an error stops the running of the rest of Axiom script block.

>Cannot compute the numerical value of a non-constant expression

>But the Complex Float domain is doing something extra.

The issues here are two: The first two errors are modemap problems. The last one is an anticipated error message from algebra code. I suspect that the Interpreter did not try to find <code>numeric</code> in the first instance (it should), did not find any modemap from <code>POLY FLOAT -> COMPLEX INT</code> (there are none, which makes sense), but found <code>complexNumeric</code> in the last. In the first one, <code>numeric.o</code> is not loaded because the Interpreter somehow is not instructed to look for <code>numeric</code>. Even after <code>numeric.o</code> is loaded, the situation is the same: the Interpreter stops after locating <code>log: EXPR FLOAT ->EXPR FLOAT</code>. In the last case, the Interpreter loads <code> numeric.o</code> if it is not there. So it would seem that it is a dependency problem during compiling (which presumably provides the database to the Interpreter).

\begin{axiom}
numeric(log(10.0*q))
\end{axiom}

So this treatment agrees with:

\begin{axiom}
complexNumeric(log(10.0*q))
\end{axiom}

which has the same output as <code>log(10.0*q)::Complex Float</code>

By the way, I think this discussion (the second half, involving conversion to <code>Float</code>) should be separated into a new page. Perhaps under a title like "Numerical Type Conversion".

I still have no clue why after a <code>)clear all</code>, the second <code>solve</code> behave the way it did. I have verified that it occurs fairly consistently, even in the NAG version. (It occurred even if I had never run the first <code>eq1, solve, solve</code> before the <code>)clear all</code> if I was working in some session already. But it occurred consistently if I started with a new Axiom window and followed the script.)


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Subject: Re: [Axiom-developer] [#75 algebra creates the file code.lsp,
	this needs to be renamed before compile] [#75 algebra creates the
	file code.lsp, this needs to be renamed before compile]
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Greetings!  Not sure about the rationale behind the bug report, but on
5 of the Debian platforms, gcl cannot (yet) natively relocate object
files, and the build has to proceed through compiler::link.  In such a
case, the init function must be uniquely named for each module, as the
final link is via ld.

Take care,

root <daly@axiom-developer.org> writes:

> Camm, Bill,
> 
> Why does code.lsp need to be renamed?
> 
> Tim
> 
> 
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Subject: [Axiom-developer] [#75 algebra creates the file code.lsp,
	this needs to be renamed before compile] [#75
	algebra creates the file code.lsp,
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Changes http://page.axiom-developer.org/zope/mathaction/75AlgebraCreatesTheFileCodeLspThisNeedsToBeRenamedBeforeCompile/diff
--
Greetings!  Not sure about the rationale behind the bug report, but on
5 of the Debian platforms, gcl cannot (yet) natively relocate object
files, and the build has to proceed through compiler::link.  In such a
case, the init function must be uniquely named for each module, as the
final link is via ld.

Take care,

root <daly@axiom-developer.org> writes:

> Camm, Bill,
> 
> Why does code.lsp need to be renamed?
> 
> Tim
> 
> 
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah

--
forwarded from http://page.axiom-developer.org/zope/mathaction/75AlgebraCreatesTheFileCodeLspThisNeedsToBeRenamedBeforeCompile#msg541xams34f.fsf@intech19.enhanced.com



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Subject: [Axiom-developer] [DefiniteIntegration] Another problem with
	integrate
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Changes http://page.axiom-developer.org/zope/mathaction/DefiniteIntegration/diff
--
Consider the following piecewise function:
\begin{axiom}
f(x | (x >=0) and (x <=1) ) == 1
f(x | (x<0) or (x > 1)) == 0
\end{axiom}
It is obvious that $\int_{-1}^2 f(t) dt= 1$, while Axiom claims otherwise:
\begin{axiom}
integrate(f(t), t=-1..2)
\end{axiom}
What's worse, it doesn't say that it cannot calsulate it, but it simply gives an incorrect result! Haven't I first tested it with such a simple example I wouldn't even know, the results are wrong. Any clue how to serve Axiom such function, so that it integrates them correctly? Is this a bug in Axiom or I'm doing something wrong? TIA
--
forwarded from http://page.axiom-developer.org/zope/mathaction/DefiniteIntegration#msg20050312082513-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#122 Handling of power series] (new) 
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
It seems that the interpreter handles strangely the power series:

a:= series sin(x);
)di type %
Type of value of %: UnivariatePuiseuxSeries(Expression Integer,x,0)
a=a;
)di type %
Type of value of %: Equation Any


If I coerce it...
a:=a::UnivariatePuiseuxSeries(Expression Integer,x,0);
a=a;
)di type %
Type of value of %: Equation UnivariatePuiseuxSeries(Expression Integer,x,0)

------------------------------------------------
Fatal bug:

a:= series sin(x);
a*1.0;
>> System error:
Caught fatal error [memory may be damaged]

protected-symbol-warn called with (NIL)

>From trace:
It seems that the interpreter doesn't coerce one args
in Expression (Float):

1<enter valueArgsEqual? : (|UnivariatePuiseuxSeries| (|Expression| (|Integer|)) |x| ((0 . 0) 0 . 1))\(|UnivariatePuiseuxSeries| (|Expression| (|Float|)) |x| ((0 . 0) 0 . 1))

...

And here:

1<enter algEqual : ((0 . 0) 0 . 1)\((0 0 . 0) 0 1 . 0)\(|Expression| (|Float|))
1<enter compiledLookupCheck : =\((|Boolean|) $ $)\#<vector 08eccc78>
1>exit compiledLookupCheck : (#<compiled-function |EXPR;=;2$B;21|> . #<vector 08eccc78>)

after SPADCALL (it's not traced) "=" in EXPR trigger the bug.

algEqual : ((0 . 0) 0 . 1)\((0 0 . 0) 0 1 . 0)\(|Expression| (|Float|))
           ^^^^^^^^^^^^^^^
I think above is not of type EXPR FLOAT.

Cheers.
Error message:  >> System error:
Caught fatal error [memory may be damaged]
--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050312094005-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
a:= series sin(x);
)di type %
Type of value of %: UnivariatePuiseuxSeries
--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050312094140-0600@page.axiom-developer.org



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Subject: [Axiom-developer] An idea for Free and Open Source Axiom ? (Search
	Facility)
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Hi *,

Nice to see that Free and Open Source Axiom picks up speed!

Just an idea. I visited http://page.axiom-developer.org/ many times,
and this came to my mind already several times. What about adding a
Search facility at the entry page?

I have no double that the Axiom site will be visited in the near
future by a even more folks, and each time I remember with pleasant
feeling www.wolfram.com  by Wolfram Research, Inc and www.sciface.com
by SciFace GmbH, where you can put a search string instantly at the
entry page which is, in my opinion, of real convenience.

Any comments?


Best wishes,

Vladimir Bondarenko
VM and GEMM architect

http://www.cybertester.com/
http://maple.bug-list.org/
http://www.CAS-testing.org/




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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

??changed:
-
\begin{axiom}

--removed:
-)di type %
-Type of value of %: UnivariatePuiseuxSeries(Expression Integer,x,0)

??changed:
-)di type %
-Type of value of %: Equation Any
-
-
-If I coerce it...

-- If I coerce it...

??changed:
-)di type %
-Type of value of %: Equation UnivariatePuiseuxSeries(Expression Integer,x,0)
\end{axiom}

??changed:
-Fatal bug:
-
-a:= series sin(x);
-a*1.0;
->> System error:
-Caught fatal error [memory may be damaged]
-
-protected-symbol-warn called with (NIL)
-
-From trace:
-It seems that the interpreter doesn't coerce one args
-in Expression (Float):
-
-1<enter valueArgsEqual? : (|UnivariatePuiseuxSeries| (|Expression| (|Integer|)) |x| ((0 . 0) 0 . 1))\(|UnivariatePuiseuxSeries| (|Expression| (|Float|)) |x| ((0 . 0) 0 . 1))
-- Fatal bug:

-- a:= series sin(x);
-- a*1.0;
-- >> System error:
-- Caught fatal error [memory may be damaged]

-- protected-symbol-warn called with (NIL)

-- From trace:
-- It seems that the interpreter doesn't coerce one args
--  in Expression (Float):

\begin{verbatim}

1<enter valueArgsEqual? : (|UnivariatePuiseuxSeries| (|Expression| (|Integer|)) |x| 
               ((0 . 0) 0 . 1))\
               (|UnivariatePuiseuxSeries| (|Expression| (|Float|)) |x| ((0 . 0) 0 . 1))

??changed:
-Error message:  >> System error:
-Caught fatal error [memory may be damaged]
-
-From unknown Sat Mar 12 09:41:40 -0600 2005
-From: 
-Date: Sat, 12 Mar 2005 09:41:40 -0600
-Subject: 
-Message-ID: <20050312094140-0600@page.axiom-developer.org>
-
-a:= series sin(x);
-)di type %
-Type of value of %: UnivariatePuiseuxSeries

\end{verbatim}


--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050312095319-0600@page.axiom-developer.org



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Vladimir Bondarenko writes:
 > 
 > MR> The search facility is at the top right corner of every page.
 > 
 > Yep. As you can see from my message I mean the entry page itself
 > where the Search is absent.

Oops, you are quite right. On the other hand, I believe that new users should
directly be forwarded to MathAction. I think that
http://page.axiom-developer.org/ is very confusing.

Martin




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MR> Vladimir Bondarenko writes:

MR>  > Just an idea. I visited http://page.axiom-developer.org/ many times, and
MR>  > this came to my mind already several times. What about adding a Search
MR>  > facility at the entry page?

MR> The search facility is at the top right corner of every page.

Yep. As you can see from my message I mean the entry page itself
where the Search is absent.


Best,

Vladimir




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Vladimir Bondarenko writes:

 > Just an idea. I visited http://page.axiom-developer.org/ many times, and
 > this came to my mind already several times. What about adding a Search
 > facility at the entry page?

The search facility is at the top right corner of every page.

Martin




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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

--removed:
-Cheers.

++added:
Other thing:

\begin{axiom}
1.0::UnivariatePuiseuxSeries(Expression Float,x,0.0)
\end{axiom}

Memory damaged if it's added to .axiom.input







--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050312114023-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomsCommunity/diff
--

??changed:
-Axiom Portal, E-mail lists and IRC Channel
-
-  Several ways to contact the community are available.
-
-The "Axiom Portal":http://page.axiom-developer.org/zope/Plone is
-a private online enviroment in which Axiom users can:
There are several ways to stay in contact with the Axiom community.

Axiom Portal

  The "Axiom Portal":http://page.axiom-developer.org/zope/Plone
is an online enviroment in which Axiom users can:

??changed:
-There is an irc channel where developers can find other developers. It is:: 
IRC Channel

  There is an irc channel where developers can find other developers.
It is:: 

??changed:
-The mailinglists are:
- 
-"axiom-math":http://mail.nongnu.org/mailman/listinfo/axiom-math ("archive":http://mail.nongnu.org/archive/html/axiom-math)
E-mail Lists

  The mailinglists are:
 
"axiom-math":http://mail.nongnu.org/mailman/listinfo/axiom-math ("archive":http://mail.nongnu.org/archive/html/axiom-math) --

??changed:
-"axiom-mail":http://mail.nongnu.org/mailman/listinfo/axiom-mail ("archive":http://mail.nongnu.org/archive/html/axiom-mail)
"axiom-mail":http://mail.nongnu.org/mailman/listinfo/axiom-mail ("archive":http://mail.nongnu.org/archive/html/axiom-mail) --

??changed:
-"axiom-developer":http://mail.nongnu.org/mailman/listinfo/axiom-developer ("archive":http://mail.nongnu.org/archive/html/axiom-developer)
"axiom-developer":http://mail.nongnu.org/mailman/listinfo/axiom-developer ("archive":http://mail.nongnu.org/archive/html/axiom-developer) --

??changed:
-"axiom-legal":http://mail.nongnu.org/mailman/listinfo/axiom-legal ("archive":http://mail.nongnu.org/archive/html/axiom-legal)
"axiom-legal":http://mail.nongnu.org/mailman/listinfo/axiom-legal ("archive":http://mail.nongnu.org/archive/html/axiom-legal) --

??changed:
-Axiom and the scientific commnunauty
"Statistics":http://page.axiom-developer.org/usage

  Monthly website access statistics for MathAction and the
"Axiom Portal":http://page.axiom-developer.org/zope/Plone are
available at http://page.axiom-developer.org/usage

Axiom and the scientific commnunity

--
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomLibrary/diff
--
The [Axiom Library] contains over 1,000 strongly-typed mathematical domains
and categories.

See also [Axiom Algebra].
--
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Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--

??changed:
-  Axiom is a general purpose Computer Algebra system. It is useful for research
-  and development of mathematical algorithms. The [Axiom Language] provides a
-  convenient way to express abstract mathematical concepts.  It defines a
-  over 1,000 strongly-typed mathematical domains and categories. Axiom has both
-  an "interpreter":AxiomInterpreter and a built-in "compiler":ProgrammingAxiom.
  Axiom is a general purpose Computer Algebra system. It is useful for
  research and development of mathematical algorithms. The [Axiom Language]
  provides a very high level way to express abstract mathematical concepts
  that are collected in the [Axiom Library] which defines over 1,000
  strongly-typed mathematical domains and categories.

??changed:
-Axiom through the dispersement of donations and sponsorship money to
-Axiom-related activities. Furthermore, we wish to express our gratitude to our [Sponsor]
Axiom through the dispersement of "donations":http://axiom-developer.org/donate.html
and sponsorship money to Axiom-related activities. Furthermore, we wish to
express our gratitude to our [Sponsor]

--
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++added:
Axiom has both an "interpreter":AxiomInterpreter and a built-in
"compiler":ProgrammingAxiom.


++added:

  Types are one of the most important concepts in Axiom.

--
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++added:
- To search type keywords in the box at the upper right and press Enter


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Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--

??changed:
-  This web site is called MathAction. It is mainly about Axiom, we also
-  provide some support for [other Computer Algebra systems]. The [Rosetta Stone]
-  demonstrates how things are done in different systems. Currently you can
-  use both Axiom and Reduce on this web site and outputs from both systems
-  can appear together on the same web page.
-
-- <font color=red>Try Axiom and Reduce "online":SandBox</font>, you can also
-  "download Axiom":AxiomDownload or [build Axiom] from source code
  This web site is called MathAction. Although it is mainly about Axiom,
  we also provide some support for [other Computer Algebra systems]. The
  [Rosetta Stone] document demonstrates how things are done in different
  systems. Currently you can use both Axiom and Reduce on this web site
  and outputs from both systems can appear together on the same web page.

- <font color=red>Try "Axiom and Reduce online":SandBox</font>, you can
  also "download Axiom":AxiomDownload or [build Axiom] from source code

--
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??changed:
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomsCommunity/diff
--

??changed:
-    channel:#axiom-developer 
    channel:#axiom-developer

Open Source Axiom Developer Websites

  - http://savannah.nongnu.org/projects/axiom

  - http://sourceforge.net/projects/axiom/

??changed:
-"Statistics":http://page.axiom-developer.org/usage
-
-  Monthly website access statistics for MathAction and the
-"Axiom Portal":http://page.axiom-developer.org/zope/Plone are
-available at http://page.axiom-developer.org/usage
Statistics

  Monthly website access
  "statistics":http://page.axiom-developer.org/usage
  for MathAction and the
  "Axiom Portal":http://page.axiom-developer.org/zope/Plone are
  available at http://page.axiom-developer.org/usage

--
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From: "Bill Page" <bill.page1@sympatico.ca>
To: "'Martin Rubey'" <martin.rubey@univie.ac.at>,
	"'Vladimir Bondarenko'" <vb@cybertester.com>
Subject: RE: [Axiom-developer] An idea for Free and Open Source Axiom ?(Search
	Facility)
Date: Sat, 12 Mar 2005 23:51:19 -0500
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On Saturday, March 12, 2005 11:24 AM Martin Rubey wrote:
> 
> Vladimir Bondarenko writes:
>> 
>> Martin Rubey wrote:
>>> The search facility is at the top right corner of every
>>> page.
>> 
>> Yep. As you can see from my message I mean the entry page
>> itself where the Search is absent.
> 
> Oops, you are quite right. On the other hand, I believe
> that new users should directly be forwarded to MathAction.
> I think that http://page.axiom-developer.org/ is very
> confusing.
> 

I am not sure what you found confusing about
http://page.axiom-developer.org :) It was mainly just a
convenience for me but I agree that it is no longer relevant.
That page used to be the original non-wiki index page that
pointed to the both the Axiom Portal and the MathAction
websites (and a few other useful things) while they were
both under development.

I have just edited a few pages on MathAction (as you will
have noticed) to make sure that they include all of the
links that were on the original page. And then I modified
the axiom-developer.org webserver configuration so that
the following urls all internally re-direct to MathAction

  http://axiom-developer.org
  http://www.axiom-developer.org
  http://axiom.axiom-developer.org
  http://page.axiom-developer.org

All of these urls at one time or other pointed to something
new and Axiom-related but which are now entirely replaced
by MathAction.

Note also that the Savannah and Sourceforge Axiom developer
websites also refer to MathAction site as the "Project Home
Page".

So I think now we finally have the everything consolidated
in one place. And this should be easier - especially for
new users.  If anyone notices anything missing that used
to be on one of the other websites, please let me know.

Regards,
Bill Page.




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Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--

??changed:
-  type keywords in the box at the upper right and press Enter
  this website, type keywords in the box at the upper right and press
  Enter

--
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Changes http://page.axiom-developer.org/zope/mathaction/MathAction/diff
--

??changed:
-MathAction provides an over-the-web graphical interface for Axiom (see AxiomInterface)
-and Reduce (see ReduceWiki).
-
-MathAction is based on LatexWiki - an extension of ZWiki.
-ZWiki in turn, is based on "Zope":http://www.zope.org .
Welcome to !MathAction - The Interactive Mathematical Web!

  MathAction is a wiki with support for LaTeX and computer algebra.
It is the main web site supporting the development of the open source
version of Axiom. MathAction provides an over-the-web graphical
interface for Axiom (see AxiomInterface) and Reduce (see ReduceWiki).

  MathAction is based on LatexWiki - an extension of ZWiki which is
based on "Zope":http://www.zope.org. MathAction works both as a
stand-alone wiki and as part of the AxiomPortal.

++added:

Web Site

  The !MathAction development home page is --
  http://page.axiom-developer.org

  The Axiom Portal is at --
  http://page.axiom-developer.org/zope/Plone

  This web site is --
  http://page.axiom-developer.org/zope/mathaction

  The test and development version of !MathAction is --
  http://test.axiom-developer.org

How it Works

  You can comment on the content or "edit":ExternalEdit these pages
but please identify yourself using "preferences":UserOptions first.
You can enter mathematics using $\text{\LaTeX}$, Axiom commands or
Reduce commands and display the results as properly formatted
mathematics. For example see AxiomInterface and ReduceAppendixB.

The Axiom MathAction wiki is also able to operate like a mailing
list. Basically, anyone can "subscribe" to the individual web pages
or to the whole web site. First they must identify themselves by
clicking preferences (or logging in) and specifying their name (or
psuedonym) and email address. Then all they have to do is click the
"subscribe" link at the top right side of the page. Any comments
subsequently attached to a page will be automatically distributed
by email to all subscribers.

**Note:** The whole of the Axiom-developer email list itself is
automatically subscribed to the MathAction website. This means
that if you are subscribed to axiom-developer, then you do not
need to separately subscribe to MathAction.

It is also possible for you to use email to reply directly to
the emails sent out by MathAction. These replies will in turn be
attached to the original MathAction web page and again sent out
to subscribers. This way a chronological record of the discussion
is kept with the web page and later (if desired) this discussion
can be editted and kept for posterity.

This is an **interactive** web site so please feel free to
"experiment":SandBox.
There is a [Help Page] and a page to get you going with LaTeX.

!MathAction Software

  The software used in MathAction is based on the LatexWiki
extension of ZWiki which is an open source Zope application.
This same application can run inside of a Plone portal.

"Zope":http://www.zope.org is an "integrated application
development environment" consisting of a web server (Zserver)
and an object-oriented database (ZODB) based on the idea of
persistent objects and classes. Zope is written in Python and
was originally a commercial product of Zope Corporation before
it went "open source" (It is still a commercial product in the
sense that Zope Corporation continues to make money from it's
earlier effort, albeit in a different way.)

ZWiki and "Plone":http://www.plone.org are two of quite a
large number of applications built using Zope. More
specifically these applications are (usually) built according
to a "layered" architecture that takes full advantage of the
object-orientation at a fairly high level (almost everything
is an object or an attribute of an object, including web pages,
images, files, etc.). Each object has associated "methods" etc.

Plone is a portal application that is built on top of a layer
called the Content Management Framework (CMF). CMF provide the
object model for distributed management of website contents.
CMF is built directly on Zope.

ZWiki fits into the hierarchy roughly at the same layer as
CMF - just above Zope. Both CMF and ZWiki  define object types
that are inherited by Plone.

Now, are you more confused or less? :) Actually, if you
look at some of the correspondence and history of Zope,
you will find that many (most?) developers start out being
quite confused and challenged about this approach. Some
can't stand it and turn to very different tools which have
similar functionality but are more conventional in design
such as PHP. Other people are more willing to forget a
lot of the things they thought they knew about computer
systems design and start over, learn Zope from the ground
up (starting with Python). Often these people seem to love
it so much they go one to proselytize about it to others.

Tools

  Let's try defining these tools one more time:

Zope is a pile of python code that is a web server and set
of classes for manipulating web-data stored in its
object-oriented database via what one could think of as a
merging of server-side scripting and object orientation.

Plone is a very pretty and popular "portal" application
built on top of Zope that allows high-level control like
multiple users, owners, access rights, publication rules,
and web-based site management.

ZWiki is a powerful wiki implementation that allows several
forms of input type (StructuredText, WikiWikiWeb, MoinMoin,
and now Latex) and because it is built on Zope it is more
powerful but not as simple as the original Wiki idea.

The wiki concept: it is intended to be a website that is
editable by anyone, simple enough that when anyone runs
across it they can contribute meaningfully by creating content
or organization, the pages themselves have a simple syntax
that resembles the web-page output, and pages are automatically
interlinked via the use of camel-case noun-phrase WikiWord .
This openness and chaos counter-intuitively *does* result in
organization, widespread contribution, and high-quality content.
In some sense it is the opensource philosophy applied to
documents.

    - http://wiki.org/wiki.cgi?WhatIsWiki

    - http://c2.com/cgi/wiki?WikiDesignPrinciples

The software for this web site is still
"under development":MathActionDevelopment.
Your comments and suggestions are welcome!

--
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Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--

??changed:
-- Learn more [about Axiom], more [about MathAction] or more
- Learn more [about Axiom], more "about MathAction":MathAction or more

--
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From: mathaction@axiom-developer.org (Bill Page)
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Subject: [Axiom-developer] [#122 Handling of power series] 
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

??changed:
-a:= series sin(x);
-a=a;
-
a:= series sin(x)

??changed:
-a:=a::UnivariatePuiseuxSeries(Expression Integer,x,0);
-a=a;
a:=a::UnivariatePuiseuxSeries(Expression Float,x,0)
a*1.0

??changed:
-------------------------------------------------
--- Fatal bug:
-
--- a:= series sin(x);
--- a*1.0;
--- >> System error:
--- Caught fatal error [memory may be damaged]
-
--- protected-symbol-warn called with (NIL)
-
--- From trace:
--- It seems that the interpreter doesn't coerce one args
---  in Expression (Float):
-
-\begin{verbatim}
-
-1<enter valueArgsEqual? : (|UnivariatePuiseuxSeries| (|Expression| (|Integer|)) |x| 
<hr />
Fatal bug::

 a:= series sin(x);
 a*1.0;
 >> System error:
 Caught fatal error [memory may be damaged]

 protected-symbol-warn called with (NIL)

 From trace:

 It seems that the interpreter doesn't coerce one args
 in Expression (Float):

 1<enter valueArgsEqual? : (|UnivariatePuiseuxSeries| (|Expression| (|Integer|)) |x| 

??changed:
-And here:
-
-1<enter algEqual : ((0 . 0) 0 . 1)\((0 0 . 0) 0 1 . 0)\(|Expression| (|Float|))
-1<enter compiledLookupCheck : =\((|Boolean|) $ $)\#<vector 08eccc78>
-1>exit compiledLookupCheck : (#<compiled-function |EXPR;=;2$B;21|> . #<vector 08eccc78>)
-
-after SPADCALL (it's not traced) "=" in EXPR trigger the bug.
-
-algEqual : ((0 . 0) 0 . 1)\((0 0 . 0) 0 1 . 0)\(|Expression| (|Float|))
And here::

 1<enter algEqual : ((0 . 0) 0 . 1)\((0 0 . 0) 0 1 . 0)\(|Expression| (|Float|))
 1<enter compiledLookupCheck : =\((|Boolean|) !$ $)\#<vector 08eccc78>
 1>exit compiledLookupCheck : (#<compiled-function |EXPR;=;2$B;21|> . #<vector 08eccc78>)

 after SPADCALL (it's not traced) "=" in EXPR trigger the bug.

 algEqual : ((0 . 0) 0 . 1)\((0 0 . 0) 0 1 . 0)\(|Expression| (|Float|))

++added:


--removed:
-
-\end{verbatim}
-

--removed:
-

--removed:
-
-
-
-
-
-

--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050313000546-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
\begin{axiom}
series(sin(x),x=%i)
\end{axiom}
--
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Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--
Is it possible to compile modified spad file.
If I modify fraction.spad ( domain fraction) 
in original source directory,
It compiles only the QuotientField category.


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Changes http://page.axiom-developer.org/zope/mathaction/MathAction/diff
--

++added:
  The development repository (darcs) for !MathAction is --
  MathActionRepository


--
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Changes http://page.axiom-developer.org/zope/mathaction/MathActionRepository/diff
--
<ul>
<li>The <a href="http://abridgegame.org/darcs/">darcs</a> repository:
<p><ul>
<li>which contains patches for
<a href="http://mcelrath.org/Notes/LatexWiki">LatexWiki</a>
is located at<br />
<code><a href="http://page.axiom-developer.org/repository/latexwiki">
http://page.axiom-developer.org/repository/latexwiki</a></code><br />
Get these patches with the command:
<pre>
    <b>darcs pull http://page.axiom-developer.org/repository/latexwiki</b>
</pre>
</li>
<li>which contains patches for <a href="http://www.zwiki.org">ZWiki</a>
is located at<br />
<code><a href="http://page.axiom-developer.org/repository/ZWiki">
http://page.axiom-developer.org/repository/ZWiki</a></code><br />
Get these patches with the command:
<pre>
    <b>darcs pull http://page.axiom-developer.org/repository/ZWiki</b>
</pre>
</li>
<li>which contains the main (except Windows) Axiom source distribution
(axiom--main--1) is located at<br />
<code><a href="http://page.axiom-developer.org/repository/axiom--main--1">
http://page.axiom-developer.org/repository/axiom--main--1</a></code><br />
Get the whole distribution with the command:
<pre>
    <b>darcs get http://page.axiom-developer.org/repository/axiom--main--1</b>
</pre>Get updates with the command:
<pre>
    <b>darcs pull</b>
</pre>
</li>
<li>which contains the Axiom for Windows source distribution
(axiom--windows--1) is located at<br />
<code><a href="http://page.axiom-developer.org/repository/axiom--windows--1">
http://page.axiom-developer.org/repository/axiom--windows--1</a></code><br />
Get the whole distribution with the command:
<pre>

    <b>darcs get http://page.axiom-developer.org/repository/axiom--windows--1</b>
</pre>Get updates with the command:
<pre>
    <b>darcs pull</b>
</pre>
</li>

</ul></p>
</ul>
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Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--
Severity: wishlist => normal 
Status: open => testing 

--
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	possible
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Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--
You have not provided enough information to know what you
might be doing wrong, but it is certainly possible. For
example in Axiom for Windows version 0.1.4 (see AxiomDownload)
you can do the following::

  )cd "C:/Program files/axiom/mnt/windows/src/algebra"
  )sys copy fraction.spad my_fraction.spad
  )edit my_fraction.spad
    ... make the change to domain Fraction, etc.
  )compile my_fraction.spad

All of the categories and domains defined in the modified
file my_fraction.spad, including the domain Fraction will
be re-compiled. But watch for error message and re-edit
and compile the file again if you make a mistake.

You will be able to access the modified domains and
categories later in this same Axiom session. If you exit
Axiom and then want to use the new version of the domain
Fraction in a new session without re-compiling it, you
can use the following commands::

  )cd "C:/Program files/axiom/mnt/windows/src/algebra"
  )library FRAC

If you are using the linux version of Axiom, the procedure
is similar (only the file names and the copy command change).

If this does not work, please provide more details about
exactly what you are doing.
--
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Subject: [Axiom-developer] [#122 Handling of power series] 
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

++added:

Maple produces the following result::

  > series(sin(x),x=%I);

\begin{eqnarray}
(\sin \left( I \right) +\cos \left(  
I \right)  \left( x- I \right) -1/2\,\sin
 \left( I \right)  \left( x- I
 \right) ^{2}-1/6\,\cos \left( I \right)  \left( x-
\mbox I \right) ^{3}+
\\
1/24\,\sin \left( I
 \right)  \left( x- I \right) ^{4}+
{\frac {1}{120}}\,
\cos \left( I \right)  \left( I
 \right) ^{5}+O \left(  \left( x- I \right) ^{6}
 \right) )
\end{eqnarray}

This result appears the same to order 5. Could you
explain what you mean by "expansion point"?

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Subject: [Axiom-developer] [#122 Handling of power series] 
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

??changed:
-Maple produces the following result::
-
-  > series(sin(x),x=%I);
-
-\begin{eqnarray}
-(\sin \left( I \right) +\cos \left(  
-I \right)  \left( x- I \right) -1/2\,\sin
- \left( I \right)  \left( x- I
- \right) ^{2}-1/6\,\cos \left( I \right)  \left( x-
-\mbox I \right) ^{3}+
-\\
-1/24\,\sin \left( I
- \right)  \left( x- I \right) ^{4}+
-{\frac {1}{120}}\,
-\cos \left( I \right)  \left( I
- \right) ^{5}+O \left(  \left( x- I \right) ^{6}
- \right) )
-\end{eqnarray}
-
-[14 more lines...]
<pre>

++added:
</pre>

??changed:
-
-
<pre>

??changed:
-
</pre>

The problem seems to be the use of %i, but in Axiom the unit
imaginary is written %I (uppercase letter I)
\begin{axiom}
series(sin(x),x=%I)
\end{axiom}


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Subject: [Axiom-developer] [#122 Handling of power series] Pardon me,
	it is late. You were right.
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

--removed:
-The problem seems to be the use of %i, but in Axiom the unit
-imaginary is written %I (uppercase letter I)
-\begin{axiom}
-series(sin(x),x=%I)
-\end{axiom}
-

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Subject: [Axiom-developer] [#122 Handling of power series] With complex
	doesn't print expansion point (in Type)
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

??changed:
-From Vanuxem=?ISO-8859-1?Q?Gr=E9gory?= Sun Mar 13 22:06:20 -0600 2005
-From: Vanuxem =?ISO-8859-1?Q?Gr=E9gory?=
-Date: Sun, 13 Mar 2005 22:06:20 -0600
-Subject: [#122 Handling of power series]
-Message-ID: <1110773203.4852.1.camel@localhost.localdomain>
-In-Reply-To: <20050313214949-0600@page.axiom-developer.org>
-
-I mean the printed type.
-
-Type: UnivariatePuiseuxSeries?(Expression Complex Integer,x,)
-                                                           ^^
-Cheers, Greg
-
-
-
-
-Le dimanche 13 mars 2005  21:49 -0600, Bill Page a crit :
-> Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
-> --
-[45 more lines...]





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	whith complex
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

??changed:
-Type: UnivariatePuiseuxSeries?(Expression Complex Integer,x,0)
-
Type: UnivariatePuiseuxSeries?(Expression Integer,x,0)


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Subject: [Axiom-developer] [#122 Handling of power series] Printed type
	whith complex
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

Type: UnivariatePuiseuxSeries?(Expression Complex Integer,x,)
                                                           ^^
but for Integer for example


Type: UnivariatePuiseuxSeries?(Expression Complex Integer,x,0)

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Subject: [Axiom-developer] [#122 Handling of power series] [#122 Handling of
	power series]
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
I mean the printed type.

Type: UnivariatePuiseuxSeries?(Expression Complex Integer,x,)
                                                           ^^
Cheers, Greg




Le dimanche 13 mars 2005  21:49 -0600, Bill Page a crit :
> Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
> --
> 
> ++added:
> 
> Maple produces the following result::
> 
>   > series(sin(x),x=%I);
> 
> \begin{eqnarray}
> (\sin \left( I \right) +\cos \left(  
> I \right)  \left( x- I \right) -1/2\,\sin
>  \left( I \right)  \left( x- I
>  \right) ^{2}-1/6\,\cos \left( I \right)  \left( x-
> \mbox I \right) ^{3}+
> \\
> 1/24\,\sin \left( I
>  \right)  \left( x- I \right) ^{4}+
> {\frac {1}{120}}\,
> \cos \left( I \right)  \left( I
>  \right) ^{5}+O \left(  \left( x- I \right) ^{6}
>  \right) )
> \end{eqnarray}
> 
> This result appears the same to order 5. Could you
> explain what you mean by "expansion point"?
> 
> --
> forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050313214949-0600@page.axiom-developer.org
> 
> 
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
> 

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Subject: [Axiom-developer] [#122 Handling of power series] With complex
	doesn't print expansion point (in Type)
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
Type: UnivariatePuiseuxSeries?(Expression Complex Integer,x,)
                                                           ^^


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Subject: [Axiom-developer] [#123 Compile modified spad file] I recompile all
	axiom
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Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--
I recompile all axiom (in axiom directory I do a make).
If I modify interpreter it's correctly recompiled but not
the modified algebra file (domain ???).
--
forwarded from http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile#msg20050313221632-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#123 Compile modified spad file] you must edit
	the file fraction.spad.pamphlet
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Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--
If you are re-building all of axiom using 'make', then you must
change only to the *.pamphlet files. All the other files are
generated from these files. You will find the algebra pamphlet
files in 'axiom--main--1\src\algebra'.

Pamphlet files contain both the spad program code and its
documentation (i.e. in literate programming style). If you
intend to submit patches for inclusion in a new release
of Axiom, please add some documentation about the change you
are making. And if possible, expand the existing documentation
(if any) where it is missing or incorrect.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile#msg20050313223619-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#123 Compile modified spad file] code.lsp is not
	regenerated in int/algebra/FRAC.NRLIB
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Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--
Sorry I work on pamphlet file.
In 'int' directory, the file FRAC.spad is correctly generated but not compiled.
For example add:
  print("I am here"::OutputForm)$Lisp
somewhere in domain fraction (file: fraction.spad.pamphlet)


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Subject: [Axiom-developer] [#123 Compile modified spad file] version of
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Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--
What version of Axiom source are you using? Did you get the
most recent source from the February CVS or prior? Or did you
get it from arch (tla)? If from arch, what is patch level?

If you delete int/algebra/FRAC.NRLIB/code.lsp and then re-run
Axiom 'make' is the domain properly compiled?
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	sources
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Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--
If I delete int/algebra/FRAC.NRLIB/code.lsp the domain is not recompiled.
<pre>
If I remove code.o, here is the output:
<br>
generic 1 -- making /usr/local/axiom/mnt/linux/algebra/FRAC.o from /usr/local/axiom/int/algebra/FRAC.NRLIB
cp: can't evaluate `/usr/local/axiom/int/algebra/FRAC.NRLIB/code.o': No file or directory of this type
</pre>
--
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	sources
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Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--

??changed:
-<br>
make[3]: enter in directory « /usr/local/axiom/src/algebra »
generic 2 -- making /usr/local/axiom/int/algebra/FRAC.NRLIB from /usr/local/axiom/int/algebra/FRAC.spad

++added:
make : GNU Make 3.80

--
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Subject: [Axiom-developer] [AxiomProblems] Yet another problem with
	piecewise functions
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--
Consider the following function, given in recursive manner:
\begin{axiom}
N0(t|(t<0) or (t>1))==0
N0(t|(t>=0) and (t<=1))==1
N(t,i,0)==N0(t-i)
N(t,i,p|p>0)==(t-i)/p*N(t,i,p-1)+(i+1-t)/p*N(t,i+1,p-1)
\end{axiom}
This is a way to create (uniform) bsplines. Now try to differentiate $N$
\begin{axiom}
D(N(t,0,3),t)
\end{axiom}
Yack!!! This is obviously wrong!!! $t\mapsto N(t,0,3)$ is $C^2$ continuous!
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050314161809-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--

??changed:
-Yack!!! This is obviously wrong!!! $t\mapsto N(t,0,3)$ is $C^2$ continuous!
Yack!!! This is obviously wrong!!! $t\mapsto N(t,0,3)$ is $C^2$ continuous and \emph{is not constant}! Despite what Axiom claims here.

--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050314162020-0600@page.axiom-developer.org



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Date: Mon, 14 Mar 2005 17:08:47 -0600
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Subject: [Axiom-developer] [#123 Compile modified spad file] February 2005
	sources
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Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--

??changed:
-<pre>
-If I remove code.o, here is the output:
-make[3]: enter in directory « /usr/local/axiom/src/algebra »
-generic 2 -- making /usr/local/axiom/int/algebra/FRAC.NRLIB from /usr/local/axiom/int/algebra/FRAC.spad
-generic 1 -- making /usr/local/axiom/mnt/linux/algebra/FRAC.o from /usr/local/axiom/int/algebra/FRAC.NRLIB
-cp: can't evaluate `/usr/local/axiom/int/algebra/FRAC.NRLIB/code.o': No file or directory of this type
-</pre>
Its the same for int/algebra/FRAC.NRLIB/code.o.
That works if I remove mnt/linux/algebra/FRAC.o, int/algebra/FRAC.NRLIB/code.o and int/algebra/FRAC.spad.

++added:
PS: Sometimes "Loading /usr/local/axiom/mnt/linux/algebra/FRAC.o" is printed.

--
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Subject: [Axiom-developer] [AxiomProblems] Seems correct to me
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--

??changed:
-Yack!!! This is obviously wrong!!! $t\mapsto N(t,0,3)$ is $C^2$ continuous and \emph{is not constant}! Despite what Axiom claims here.
Yack!!! This is obviously wrong!!! $t\mapsto N(t,0,3)$ is $C^2$ continuous
and **is not constant**! Despite what Axiom claims here.

--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050314164033-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--
This seems correct to me since
\begin{axiom}
N(t,0,3)
\end{axiom}

is constant.
--
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Subject: [Axiom-developer] [build Axiom] 
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Changes http://page.axiom-developer.org/zope/mathaction/BuildAxiom/diff
--

??changed:
-'current' file list at:
*current* file list at:

??changed:
-4   Then untarred the following:
- 
-    cd /mingw; tar xzvf /home/bpage/... 
-
-    gcc-core-3.4.2-20040916-1.tar.gz
    Then untarred the following MSYS components using the command:
 
    'cd /mingw; tar xzvf /home/bpage/... '

4   gcc-core-3.4.2-20040916-1.tar.gz

??changed:
-    1  tla my-id "First Last <email@host.com>"
-
-    2  tla register-archive arch@axiom-developer.org--axiom http://axiom-developer.org/archive/axiom
-
-    3  tla my-default-archive arch@axiom-developer.org--axiom
-
-    4  tla get axiom--windows--1 axiom--windows--1
    1  'tla my-id First Last <email@host.com>'

    2  'tla register-archive arch@axiom-developer.org--axiom http://axiom-developer.org/archive/axiom'

    3  'tla my-default-archive arch@axiom-developer.org--axiom'

    4  'tla get axiom--windows--1 axiom--windows--1'

??changed:
-    cd axiom--windows--1
-
-    ./configure  -- Cut-and-paste environmnet variables to avoid typing errors
-
-    make         -- the build takes between 3 to 6 hours on 2.4 GHz Windows XP
-
-
    'cd axiom--windows--1'

    './configure'  -- Cut-and-paste environmnet variables to avoid typing errors

    'make'         -- the build takes between 3 to 6 hours on 2.4 GHz Windows XP



--
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--

--removed:
-Source code 
-
-  The first release of Axiom is under development.  A snapshot of the current
-Axiom source tree is available at
-http://savannah.nongnu.org/cvs-backup/axiom-sources.tar.gz on the Savannah
-developer web site. This tarball is updated every night.
-
-You can also download the source tree from CVS and compile it. To download the
-code, do::
-
-  'export CVS_RSH="ssh"'
-  'cvs -z3 -d:ext:anoncvs@savannah.nongnu.org:/cvsroot/axiom co axiom'
-
-The !SSHv2 public key fingerprints for the machine hosting the cvs trees are::
-
-  'RSA: 1024 80:5a:b0:0c:ec:93:66:29:49:7e:04:2b:fd:ba:2c:d5'
-  'DSA: 1024 4d:c8:dc:9a:99:96:ae:cc:ce:d3:2b:b0:a3:a4:95:a5'
-
-To compile the code, have a look at the README and the FAQ files in the main
-[31 more lines...]

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Changes http://page.axiom-developer.org/zope/mathaction/BuildAxiom/diff
--

++added:
Source code 

  As of February 2005 the current release is Axiom 3 beta.

A snapshot of the current Axiom source tree is available at
http://savannah.nongnu.org/cvs-backup/axiom-sources.tar.gz
on the Savannah developer web site. This tarball is updated every night.

You can also download the source tree from CVS. To download the
code, do::

  'export CVS_RSH="ssh"'
  'cvs -z3 -d:ext:anoncvs@savannah.nongnu.org:/cvsroot/axiom co axiom'

The !SSHv2 public key fingerprints for the machine hosting the cvs trees are::

  'RSA: 1024 80:5a:b0:0c:ec:93:66:29:49:7e:04:2b:fd:ba:2c:d5'
  'DSA: 1024 4d:c8:dc:9a:99:96:ae:cc:ce:d3:2b:b0:a3:a4:95:a5'

To compile the code, have a look at the README and the FAQ files in the main
directory. If you have trouble compiling, search the
"archives":http://mail.nongnu.org/archive/html/axiom-developer of the
"axiom-developer":http://mail.nongnu.org/mailman/listinfo/axiom-developer
mailing list, or ask there.

Developers

  Savannah is still the authoritative source for a working axiom system.

For those who want to get the lastest set of mistakes you can visit
http://arch.axiom-developer.org 

This will take you to a page that describes how to get the latest
version of the code.

Note that I change code on an almost-daily basis, at least in some
branch and that the code is almost certainly broken and may not even
compile.

The point of this archive is to open up the development of axiom, to
make it possible for others to collaborate effectively and make the
development transparent. Since only the fully tested endpoints ever
get put on savannah it appears that nothing is changing between
observed endpoints. While I realize that the universe works this way
at a fundamental level and such changes are not observable this is
not the case with Axiom.

If you're willing to jointly work on developing some new feature we
can create a branch where we can work together. Once it works
we can merge the changes back to the main line and eventually back
to savannah.


--
forwarded from http://page.axiom-developer.org/zope/mathaction/BuildAxiom#msg20050314202244-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/BuildAxiom/diff
--

??changed:
-You can also download the source tree from CVS. To download the
-code, do::
You can also download the source tree via CVS::

??changed:
-directory. If you have trouble compiling, search the
directory. If you have trouble compiling, "search here":searchwiki or the

??changed:
-mailing list, or ask there.
mailing list, or ask here.

??changed:
-  Savannah is still the authoritative source for a working axiom system.
-
-For those who want to get the lastest set of mistakes you can visit
-http://arch.axiom-developer.org 
-
  Savannah is the authoritative source for a working Axiom system.

For those who want to get the lastest set of mistakes see AxiomDevelopment

--
forwarded from http://page.axiom-developer.org/zope/mathaction/BuildAxiom#msg20050314203021-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomDevelopment/diff
--

??changed:
-This page is intended for developers and those who want to join.
-
-Tim thought a lot about the "foundations":AxiomDevelopmentFoundations of Axioms development model. Axiom development is done via Arch, and Tim also explained "why":ArchRationale. "Using Arch":ArchUsage is not that difficult, fortunately.
-
-Here you can get an overview of what to do, and where to discuss issues with others:
-
-Axiom [Design Issues]
-
-  Well, design issues...
This page is intended for Axiom developers and those who might want to
become developers. Here you can get an overview of what to do, and
where to discuss issues with others.

Tim Daly has proposed the following "development model":AxiomDevelopmentFoundations
for Axiom.

Current Axiom development work is archived using the Arch source code
repository. Tim also explained "why":ArchRationale Arch was choosen for
this task. "Using Arch":ArchUsage is not difficult.

If you have any difficulty with Arch, you can also access the same
source code via "darcs":http://abridgegame.org/darcs. See MathActionRepository.

??changed:
-  Sure you want to "fix":DebuggingAxiom one of "these":IssueTracker, don't you? Alternatively, you can browse through <A name="WesterCritique">
-"A Critique of the Mathematical Abilities of CA Systems":http://www.math.unm.edu/~wester/cas_review.html,</A> 
-and add those to the bug list, Axiom still cannot do, or worse, does incorrectly.
  One tasks of the Axiom developers is to "analyze":DebuggingAxiom
"known problems":IssueTracker and to propose patches. You are cordially
invited to join the hunt for solutions!

The second task is to add to the "bug list":IssueTracker those things
Axiom should do but still cannot do, or worse, does incorrectly.

If you are new to Axiom or computer algebra in general, you might
find it useful to browse through <A name="WesterCritique">
"A Critique of the Mathematical Abilities of CA Systems" by
"Michael Wester":http://www.math.unm.edu/~wester/cas_review.html,</A>

++added:
Axiom [Design Issues]

  Well, design issues...


??changed:
-Yes, Axiom is written in boot and common lisp. I wrote most, if not all,
Axiom is written in boot and common lisp. I wrote most, if not all,

--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomDevelopment#msg20050314211038-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--
The function is not constant. If Axiom claims it's $\equiv 0$ then it also evaluates it wrongly. See this:
\begin{axiom}
for x in -5..15 repeat output N(x/10,0,3)
\end{axiom}
Drawing the plot (unfortunately not available here). Would show it even more clearly.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050315024705-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/BuildAxiom/diff
--

??changed:
-8   You will also need tla for windows from
8   You will also need Arch (tla) for Windows from

++added:
    Or alternatively you can use darcs 1.0.2 which may work more
    reliably than tla on Windows. Here are instructions to download
    and install the
    "windows version":http://www.scannedinavian.org/DarcsWiki/CategoryBinaries#head-e86d6956c2fad54938e3bc8f2087e0ec793c9ed8
    of "darcs":http://abridgegame.org/darcs


++added:
    If you are using darcs following the instructions at
    MathActionRepository to download 'axiom--windows--1'.


--
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--

++added:
N0(t|(t<0) or (t>1))==0;
N0(t|(t>=0) and (t<=1))==1;
N(t,i,0)==N0(t-i);
N(t,i,p|p>0)==(t-i)/p*N(t,i,p-1)+(i+1-t)/p*N(t,i+1,p-1);

--
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From: mathaction@axiom-developer.org (Bill Page)
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Date: Tue, 15 Mar 2005 04:03:40 -0600
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Subject: [Axiom-developer] [AxiomProblems] (t>0)$POLY INT
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--
But in 'D(N(t,0,3),t)' you are not calling the function N
with numeric parameters. In 'N(t,0,3)' the type of t is
'Variable t'. Ultimately 'N(t,0,3)=0' because of your funtion
definition 'N0(t|(t<0) or (t>1))==0'. This is '0' because
't>1' is 'true' when 't' is of type 'Variable t'. You can
see why if you use the option ')set message bottomup on' to
see the mode map selection
\begin{axiom}
)set message bottomup on
t>1
\end{axiom}
So Axiom interprets both 't' and '1' as being of type 'POLY INT'
and the function '>' is defined by the lexical ordering of the
polynomials.

I will grant that this result is counter-intuitive, but I think
that once you understand why Axiom gives this result then you
will be in a good position to understand the rest of Axiom's
type system!
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050315040337-0600@page.axiom-developer.org



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From: mathaction@axiom-developer.org (Bill Page)
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Changes http://page.axiom-developer.org/zope/mathaction/ExampleSolution1/diff
--
Here is one way to write the function N0 so that it returns
a fully symbolic result. The key point is to provide Axiom
with more specific type information.
\begin{axiom}
N0 : Union(Variable t, Expression Integer, Integer) ->
  Union(Expression Integer,Integer)
N0(t) ==
  if t case Integer then
    if (t<0) or (t>1) then
      return 0
    if (t>=0) and (t<=1) then
      return 1
  operator('N0)(t)
\end{axiom}
Test the function
\begin{axiom}
N0(t)
N0(-1)
N0(0)
N0(1)
N0(2)
\end{axiom}
Now we can define the function N
\begin{axiom}
N : (Union(Variable t,Expression Integer,Integer), Integer, Integer) ->
   Union(Expression Integer,Integer)
N(t,i,p) ==
  if p=0 then
    return N0(t-i)
  else
   (t-i)/p*N(t,i,p-1)+(i+1-t)/p*N(t,i+1,p-1)
\end{axiom}
And use it for symbolic calculation
\begin{axiom}
N(t,0,3)
D(N(t,0,3),t)
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/ExampleSolution1#msg20050315044238-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--
It is possible to write the function N0 that it returns the
desired result. See ExampleSolution1.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomProblems#msg20050315044706-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/ExampleSolution1/diff
--

??changed:
-N0 : Union(Variable t, Expression Integer, Integer) ->
-  Union(Expression Integer,Integer)
N0 : Union(Integer,Expression Integer) -> Union(Integer,Expression Integer)

--removed:
-N0(t)

++added:
N0(t)

??changed:
-N : (Union(Variable t,Expression Integer,Integer), Integer, Integer) ->
-   Union(Expression Integer,Integer)
N : (Union(Integer,Expression Integer), Integer, Integer) ->
   Union(Integer,Expression Integer)

--
forwarded from http://page.axiom-developer.org/zope/mathaction/ExampleSolution1#msg20050315045855-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/ExampleSolution1/diff
--
This page was renamed from ExampleSolution to ExampleSolution1.

--
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Changes http://page.axiom-developer.org/zope/mathaction/ExampleSolution1/diff
--

++added:
Note that
\begin{axiom}
D(N0(t),t)
\end{axiom}
is the derivative of $N0(t)$ with respect to $t$.

--
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*,

My direct mail address has changed from daly@idsi.net to
daly@axiom-developer.org

Sorry to spam the mailing lists but as the lead developer
and primary axiom contact it seems necessary to make people
aware of this.

Tim



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
*,

My direct mail address has changed from daly@idsi.net to
daly@axiom-developer.org

Sorry to spam the mailing lists but as the lead developer
and primary axiom contact it seems necessary to make people
aware of this.

Tim


_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail

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*,

I'm working on setting up an agenda for the axiom sprint day.
It appears that the morning will be spent discussing future 
directions for Axiom. The rest of the time will be spent 
cleaning up the IssueTracker items.

Mark Murray will be joining us via phone as he cannot attend
in person.

Tim




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Changes http://page.axiom-developer.org/zope/mathaction/LatexTemplate/diff
--

++added:
\newcommand{\digraph}[3][scale=1]{
\newwrite\dotfile
\immediate\openout\dotfile=#2.dot
\immediate\write\dotfile{digraph #2 {\string#3}}
\immediate\closeout\dotfile
\IfFileExists{#2.ps}
{ \includegraphics[#1]{#2} }
{ \fbox{ \begin{tabular}{l}
The file \texttt{#2.ps} hasn't been created from
\texttt{#2.dot} yet.
}
\end{tabular}}
}
}


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Changes http://page.axiom-developer.org/zope/mathaction/LatexTemplate/diff
--

++added:
\usepackage[dvips]{graphicx}

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Changes http://page.axiom-developer.org/zope/mathaction/LatexTemplate/diff
--

??changed:
-{ \fbox{ \begin{tabular}{l}
-The file \texttt{#2.ps} hasn't been created from
-\texttt{#2.dot} yet.
-}
-\end{tabular}}
{ \fbox{
    \begin{tabular}{l}
      The file \texttt{#2.ps} hasn't been created from
      \texttt{#2.dot} yet.
    \end{tabular}
  }

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Changes http://page.axiom-developer.org/zope/mathaction/MathAction/diff
--

??changed:
-stand-alone wiki and as part of the AxiomPortal.
stand-alone wiki and as part of the AxiomPortal. It expands on
LatexWiki by nicely formatting the output of Axiom and Reduce
commands and the ability to display graphs using GraphViz.

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Changes http://page.axiom-developer.org/zope/mathaction/GraphViz/diff
--
"An Introduction to GraphViz":http://www.linuxjournal.com/article/7275

  By Mihalis Tsoukalos on Wed, 2004-09-08 23:00.

How to use command-line tools and basic GraphViz utilities to
produce graphs both simple and complex.

GraphViz is a collection of tools for manipulating graph structures
and generating graph layouts. Graphs can be either directed or
undirected. GraphViz offers both graphical and command-line tools.
A Perl interface also is available, but it is not covered here for
reasons of generality. Graphical tools are not going to be discussed
in this article either. Instead, this article focuses on using GraphViz
from the command line.

See more here: http://www.wickle.com/wikis/index.php/Graphviz_extension
<hr />

The follow graphs are generated by MathAction

My First Graph::

  \\begin{latex}
  \\digraph[scale=0.5]{MyGraph1}{rankdir=LR; a->b; b->c}
  \\end{latex}

Produces:
\begin{latex}
\digraph[scale=0.5]{MyGraph1}{rankdir=LR; a->b; b->c}
\end{latex}

A More Complex Example::

  \\begin{latex}
  \\digraph[scale=1.0]{MyGraph2}{
      size ="4,4";
      main [shape=box]; /* this is a comment */
      main -> parse [weight=8];
      parse -> execute;
      main -> init [style=dotted];
      main -> cleanup;
      execute -> { make_string; printf}
      init -> make_string;
      edge [color=red]; // so is this
      main -> printf [style=bold,label="100 times"];
      make_string [label="make a string"];
      node [shape=box,style=filled,color=".7 .3 1.0"];
      execute -> compare;
    }
  \\end{latex}

Produces:
\begin{latex}
\digraph[scale=1.0]{MyGraph2}{
    size ="4,4";
    main [shape=box]; /* this is a comment */
    main -> parse [weight=8];
    parse -> execute;
    main -> init [style=dotted];
    main -> cleanup;
    execute -> { make_string; printf}
    init -> make_string;
    edge [color=red]; // so is this
    main -> printf [style=bold,label="100 times"];
    make_string [label="make a string"];
    node [shape=box,style=filled,color=".7 .3 1.0"];
    execute -> compare;
  }
\end{latex}

Here's One From

  http://www.linuxjournal.com/article/7275

This::

  \\begin{latex}
  \\digraph{MyGraph3}
  {
        node [shape = record];
        node0 [ label ="<f0> | <f1> J | <f2> "];
        node1 [ label ="<f0> | <f1> E | <f2> "];
        node4 [ label ="<f0> | <f1> C | <f2> "];
        node6 [ label ="<f0> | <f1> I | <f2> "];
        node2 [ label ="<f0> | <f1> U | <f2> "];
        node5 [ label ="<f0> | <f1> N | <f2> "];
        node9 [ label ="<f0> | <f1> Y | <f2> "];
        node8 [ label ="<f0> | <f1> W | <f2> "];
        node10 [ label ="<f0> | <f1> Z | <f2> "];
        node7 [ label ="<f0> | <f1> A | <f2> "];
        node3 [ label ="<f0> | <f1> G | <f2> "];
        "node0":f0 -> "node1":f1;
        "node0":f2 -> "node2":f1;
        "node1":f0 -> "node4":f1;
        "node1":f2 -> "node6":f1;
        "node4":f0 -> "node7":f1;
        "node4":f2 -> "node3":f1;
        "node2":f0 -> "node5":f1;
        "node2":f2 -> "node9":f1;
        "node9":f0 -> "node8":f1;
        "node9":f2 -> "node10":f1;
  }
  \\end{latex}

Gets you this:
\begin{latex}
\digraph{MyGraph3}
{
        node [shape = record];
        node0 [ label ="<f0> | <f1> J | <f2> "];
        node1 [ label ="<f0> | <f1> E | <f2> "];
        node4 [ label ="<f0> | <f1> C | <f2> "];
        node6 [ label ="<f0> | <f1> I | <f2> "];
        node2 [ label ="<f0> | <f1> U | <f2> "];
        node5 [ label ="<f0> | <f1> N | <f2> "];
        node9 [ label ="<f0> | <f1> Y | <f2> "];
        node8 [ label ="<f0> | <f1> W | <f2> "];
        node10 [ label ="<f0> | <f1> Z | <f2> "];
        node7 [ label ="<f0> | <f1> A | <f2> "];
        node3 [ label ="<f0> | <f1> G | <f2> "];
        "node0":f0 -> "node1":f1;
        "node0":f2 -> "node2":f1;
        "node1":f0 -> "node4":f1;
        "node1":f2 -> "node6":f1;
        "node4":f0 -> "node7":f1;
        "node4":f2 -> "node3":f1;
        "node2":f0 -> "node5":f1;
        "node2":f2 -> "node9":f1;
        "node9":f0 -> "node8":f1;
        "node9":f2 -> "node10":f1;
}
\end{latex}
--
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Changes http://page.axiom-developer.org/zope/mathaction/AboutAxiom/diff
--

++added:
History


++added:
Open Source


??changed:
-  Efforts are underway to extend this software to 
-
-- develop a better user interface
-
-- make it useful as a teaching tool
-
-- develop an algebra server protocol
-
-- integrate additional mathematics
-
-- rebuild the algebra in a literate programming style
-
-- integrate logic programming
-
-- develop an Axiom Journal with refereed submissions.
-
-There are some [screenshots] available and you can try out Axiom "online":AxiomInterface!
-
Development Emphasis

  Efforts are underway to extend this software to:

    - develop a better user interface

    - make it useful as a teaching tool

    - develop an algebra server protocol

    - integrate additional mathematics

    - rebuild the algebra in a literate programming style

    - integrate logic programming

    - develop an Axiom Journal with refereed submissions.

Try before you "Buy"

  Axiom is free, however it is a large and fairly complex program
with a significant learning curve. Before you invest a lot of time
installing and configuring Axiom, why not try it right here first?
There are many examples and [screenshots] available for you to
review and you can try out Axiom "online":SandBox!

Version

  The version of Axiom that is installed on this web site is
Axiom 3 beta. It was built from source code on:
\begin{axiom}
)version
\end{axiom}

List of Contributors

  The following is a fairly complete list of people who have contributed
to the development of Axiom over it's long history. If you know of anyone
who you think should be on this list but is not, please let us know. It is
our intention to update this list frequently.

Many of these people are still actively involved with Axiom. Some however
have already passed beyond these mortal concerns and we can only silently
thank them for this wonderful legacy!

++added:


--
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Changes http://page.axiom-developer.org/zope/mathaction/GraphViz/diff
--

++added:

Finally::

  \\begin{latex}
  \\digraph[scale=0.5]{MyGraph4}
  {
        rankdir = LR;
        node [shape=record, width=.1, height=.1];
        node0 [label = "<p0> | <p1> | <p2> | <p3> 
                 | <p4> | | ", height = 3];
        node[ width=2 ];
        node1 [label = "{<e> r0 | 123 | <p> }" ];
        node2 [label = "{<e> r10 | 13 | <p> }" ];
        node3 [label = "{<e> r11 | 23 | <p> }" ];
        node4 [label = "{<e> r12 | 326 | <p> }" ];
        node5 [label = "{<e> r13 | 1f3 | <p> }" ];
        node6 [label = "{<e> r20 | 123 | <p> }" ];
        node7 [label = "{<e> r40 | b23 | <p> }" ];
        node8 [label = "{<e> r41 | 12f | <p> }" ];
        node9 [label = "{<e> r42 | 1d3 | <p> }" ];
        node0:p0 -> node1:e;
        node0:p1 -> node2:e;
        node2:p -> node3:e;
        node3:p -> node4:e;
        node4:p -> node5:e;
        node0:p2 -> node6:e;
        node0:p4 -> node7:e;
        node7:p -> node8:e;
        node8:p -> node9:e;
  }
  \\end{latex}

Draws a linked list

\begin{latex}
\digraph[scale=0.5]{MyGraph4}
{
        rankdir = LR;
        node [shape=record, width=.1, height=.1];
        node0 [label = "<p0> | <p1> | <p2> | <p3> 
                 | <p4> | | ", height = 3];
        node[ width=2 ];
        node1 [label = "{<e> r0 | 123 | <p> }" ];
        node2 [label = "{<e> r10 | 13 | <p> }" ];
        node3 [label = "{<e> r11 | 23 | <p> }" ];
        node4 [label = "{<e> r12 | 326 | <p> }" ];
        node5 [label = "{<e> r13 | 1f3 | <p> }" ];
        node6 [label = "{<e> r20 | 123 | <p> }" ];
        node7 [label = "{<e> r40 | b23 | <p> }" ];
        node8 [label = "{<e> r41 | 12f | <p> }" ];
        node9 [label = "{<e> r42 | 1d3 | <p> }" ];
        node0:p0 -> node1:e;
        node0:p1 -> node2:e;
        node2:p -> node3:e;
        node3:p -> node4:e;
        node4:p -> node5:e;
        node0:p2 -> node6:e;
        node0:p4 -> node7:e;
        node7:p -> node8:e;
        node8:p -> node9:e;
}
\end{latex}

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Changes http://page.axiom-developer.org/zope/mathaction/BuildAxiom/diff
--
Hi Bill.

|     Or alternatively you can use darcs 1.0.2 which may work more
|     reliably than tla on Windows. Here are instructions to download
|     and install the
|     "windows 
| version":http://www.scannedinavian.org/DarcsWiki/CategoryBinaries#
| head-e86d6956c2fad54938e3bc8f2087e0ec793c9ed8
|     of "darcs":http://abridgegame.org/darcs
| 
| 
| ++added:
|     If you are using darcs following the instructions at
|     MathActionRepository to download 'axiom--windows--1'.

It worked (the checkout that is, building now)!

Are the darcs repositories 100% synched with the arch repositories?

Cheers

Mike Thomas.

--
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Subject: [Axiom-developer] [#100 integrate((z^a+1)^b, z) crashes] 
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Changes http://page.axiom-developer.org/zope/mathaction/100IntegrateZA1BZCrashes/diff
--

??changed:
-stack overflow
-
-From unknown Tue Mar 8 05:00:04 -0600 2005
-From: 
-Date: Tue, 08 Mar 2005 05:00:04 -0600
-Subject: property change
-Message-ID: <20050308050004-0600@page.axiom-developer.org>
-
-
stack overflow on Axiom.

Reduce trys to calculate:
\begin{reduce}
int((z^a+1)^b, z);
\end{reduce}

Maple gives::

  > int((z^a+1)^b, z);

\begin{equation}
z{\it hypergeom} \left( [-b,{a}^{-1}],[1+{a}^{-1}],-{z}^{a} \right)
\end{equation}

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Changes http://page.axiom-developer.org/zope/mathaction/BuildAxiom/diff
--

??changed:
-    If you are using darcs following the instructions at
    If you are using darcs follow the instructions at

??changed:
-|     Or alternatively you can use darcs 1.0.2 which may work more
-|     reliably than tla on Windows. Here are instructions to download
-|     and install the
-|     "windows 
-| version":http://www.scannedinavian.org/DarcsWiki/CategoryBinaries#
-| head-e86d6956c2fad54938e3bc8f2087e0ec793c9ed8
-|     of "darcs":http://abridgegame.org/darcs
-| 
-| 
-| ++added:
-|     If you are using darcs following the instructions at
-|     MathActionRepository to download 'axiom--windows--1'.
>     Or alternatively you can use darcs 1.0.2 which may work more
>     reliably than tla on Windows.
> ...
 
> ++added:
>     If you are using darcs follow the instructions at
>     MathActionRepository to download 'axiom--windows--1'.

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Changes http://page.axiom-developer.org/zope/mathaction/BuildAxiom/diff
--
Yes, earlier today (March 15, 2005) the darcs repositories were
generated from the arch (tla) repositories of the same name:

  - axiom--main--1

  - axiom--windows--1

But they are are separate repositories so if we continue to use
them, I will try to find time to setup automatic (each night?)
synchronization. I have read about some tools for this purpose
that go between CVS, Arch and darcs. But for now I was thinking
of (approximately weekly) manual synchronization.

This is an experiment. If you have the opportunity, please feel
free to send darcs patches (via email) or if you can set up your
darcs repository on a web server, then I can "pull" any changes
that you make back to the MathAction repositories and thence to
arch.

darcs "push" is more complicated because (like tla) it involves ssh.
I would like to avoid it for now.
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Changes http://page.axiom-developer.org/zope/mathaction/GraphViz/diff
--

??changed:
-  \\digraph[scale=1.0]{MyGraph2}{
  \\digraph[scale=0.8]{MyGraph2}{

??changed:
-      edge [color=red]; // so is this
      edge [color=red];

??changed:
-    edge [color=red]; // so is this
    edge [color=red];

++added:


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Changes http://page.axiom-developer.org/zope/mathaction/GraphViz/diff
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??changed:
-\digraph[scale=1.0]{MyGraph2}{
\digraph[scale=0.8]{MyGraph2}{

--
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Changes http://page.axiom-developer.org/zope/mathaction/BuildAxiom/diff
--

??changed:
-    The "small" MikTeX package is sufficient if your windows box is
    The "small" MikTex package is sufficient if your windows box is

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??changed:
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    The "small" MikTeX package is sufficient if your windows box is

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Changes http://page.axiom-developer.org/zope/mathaction/124BuildFailureInCVSTopOfTreeSourcesInSrcHyper/diff
--
src/hyper has a build failure in hthits.c[.pamphlet]. There is a reference to "loc2", which is undeclared anywhere else in the source tree.

The compile failure is:

63 making /home/ports/math/axiom/work/axiom-0.0/obj/freebsd/hyper/hthits.o from /home/ports/math/axiom/work/axiom-0.0/int/hyper/hthits.c
/home/ports/math/axiom/work/axiom-0.0/int/hyper/hthits.c: In function `main':
/home/ports/math/axiom/work/axiom-0.0/int/hyper/hthits.c:116: warning: implicit declaration of function `compile'
/home/ports/math/axiom/work/axiom-0.0/int/hyper/hthits.c: In function `handleFile':
/home/ports/math/axiom/work/axiom-0.0/int/hyper/hthits.c:192: warning: long int format, time_t arg (arg 4)
/home/ports/math/axiom/work/axiom-0.0/int/hyper/hthits.c: In function `searchPage':
/home/ports/math/axiom/work/axiom-0.0/int/hyper/hthits.c:360: warning: implicit declaration of function `step'
/home/ports/math/axiom/work/axiom-0.0/int/hyper/hthits.c:363: error: `loc2' undeclared (first use in this function)
/home/ports/math/axiom/work/axiom-0.0/int/hyper/hthits.c:363: error: (Each undeclared identifier is reported only once
/home/ports/math/axiom/work/axiom-0.0/int/hyper/hthits.c:363: error: for each function it appears in.)
gmake[3]: *** [/home/ports/math/axiom/work/axiom-0.0/obj/freebsd/hyper/hthits.o] Error 1
gmake[3]: Leaving directory `/home/ports/math/axiom/work/axiom-0.0/src/hyper'
gmake[2]: *** [hyperdir] Error 2


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Changes http://page.axiom-developer.org/zope/mathaction/124BuildFailureInCVSTopOfTreeSourcesInSrcHyper/diff
--
If I kludge this by removing the line that (seems to) erroneously refer to "loc2", then I get a link failure when step() and compile() are not found:

linking /home/ports/math/axiom/work/axiom-0.0/mnt/freebsd/lib/hthits
/home/ports/math/axiom/work/axiom-0.0/obj/freebsd/hyper/hthits.o(.text+0x239): In function `searchPage':
: undefined reference to `step'
/home/ports/math/axiom/work/axiom-0.0/obj/freebsd/hyper/hthits.o(.text+0x832): In function `main':
: undefined reference to `compile'
gmake[3]: *** [/home/ports/math/axiom/work/axiom-0.0/mnt/freebsd/lib/hthits] Error 1
gmake[3]: Leaving directory `/home/ports/math/axiom/work/axiom-0.0/src/hyper'
gmake[2]: *** [hyperdir] Error 2
gmake[2]: Leaving directory `/home/ports/math/axiom/work/axiom-0.0/src'
gmake[1]: *** [srcdir] Error 2
gmake[1]: Leaving directory `/home/ports/math/axiom/work/axiom-0.0'
gmake: *** [all] Error 2
*** Error code 2

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Changes http://page.axiom-developer.org/zope/mathaction/ExampleSolution1/diff
--

++added:
)clear all

++added:

<pre>From wyscc, March 16, 2005 05:06:00</pre>



The above does not really solve the problem on differentiation of a piecewise function, which, in my opinion, is an unreasonable expectation in general because of the multitude of ways to define the conditions; it may help if one uses the Heaviside function. The numerical definition of <code>N0(t)</code> is actually totally ignored in the definition of <code>N(t,i,p)</code> and thus also in the differentiation process, by the use of <code>operator('No)(t)</code>. Indeed, in the expression for <code>N</code> or its derivative with respect to <code>t</code>, the  "function" <code>N0</code> is still an <code>operator</code>, and as such, <code>N0(2)</code> is undefined! In other words, there is a distinction between the numerically defined function <code>N0</code> and the operator <code>N0</code>. This is illustrated below.

Aside: I am getting into something I don't quite understand: the first group of code is not meant to be there, but it somehow returns something wrong. If the commented line <code>--dNdt(t)</code> is removed, the result for the <code>subst</code> line is what I expect. If the order of the commands is as for the second group, the result is ok too.
Finally if I copied the block to the end and run it a second time, everything is also ok. But his may go away after I save. Image is in: http://page.axiom-developer.org/zope/mathaction/images/1141703130-18px.png. 

\begin{axiom}
N(2,0,3)
dNdt(t)==D(N(t,0,3),t)
--dNdt(t)
subst(dNdt(t), t=2)
dNdt(2)
\end{axiom}

Compared with

\begin{axiom}
dNdt(t)==D(N(t,0,3),t)
subst(dNdt(t), t=2)
N(2,0,3)
dNdt(2)
\end{axiom}

Notice that the evaluation for <code>N0(2)</code> is not really done. One way to avoid this error is to use substitution instead of a function call, as done in the second line above. 

The last function call <code>dNdt(2)</code> is deliberate, to illustrate a common error when mixing numeric and symbolic computation: first define the derivative as a function of <code>t</code> and then evaluate the derivative at some value of <code>t</code>. This does not work because when the derivative is called the system (Axiom, or other systems) will substitute the value of <code>t</code> before differentiating. 

\begin{axiom}
N(2,0,3)
dNdt(t)==D(N(t,0,3),t)
--dNdt(t)
subst(dNdt(t), t=2)
dNdt(2)
\end{axiom}


--
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	stays.
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Changes http://page.axiom-developer.org/zope/mathaction/ExampleSolution1/diff
--

??changed:
-Aside: I am getting into something I don't quite understand: the first group of code is not meant to be there, but it somehow returns something wrong. If the commented line <code>--dNdt(t)</code> is removed, the result for the <code>subst</code> line is what I expect. If the order of the commands is as for the second group, the result is ok too.
-Finally if I copied the block to the end and run it a second time, everything is also ok. But his may go away after I save. Image is in: http://page.axiom-developer.org/zope/mathaction/images/1141703130-18px.png. 
Aside: I am getting into something I don't quite understand: the first and last two groups of code are not meant to be there, but the first somehow returns something wrong. If the commented line <code>--dNdt(t)</code> is removed, the result for the <code>subst</code> line is what I expect. If the order of the commands is as for the second group, the result is ok too.
Finally if I copied the block to the end and run it a second time, everything is also ok. But this may go away after I save (it does not). Image is in: http://page.axiom-developer.org/zope/mathaction/images/1141703130-18px.png, just in case (this might have to do with use of <code>N(1/10,0,3)</code> and even a <code>for x in -15..5 repeat output N(x/10,0,3)</code> command that were ran during testing). However, when all the code in this page was run in Axiom, everything is as expected.

++added:



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblems/diff
--
Thanks a lot.
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Hi,

I downloaded Axiom source code, and I encounter problems while compiling it
(mainly because I don't know much about noweb) ; it seems that some people
already compiled it under FreeBSD, and I would like to know if it is easy
to do it ; do you know something about that ?

Regards,

-- 
Thomas Baruchel <baruchel@laposte.net>





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Thomas Baruchel writes:
> I downloaded Axiom source code, and I encounter problems while compiling it
> (mainly because I don't know much about noweb) ; it seems that some people
> already compiled it under FreeBSD, and I would like to know if it is easy
> to do it ; do you know something about that ?

Its rather hard to do under FreeBSD. I'm working on getting to be 
easier. if you need it more urgently, I could probably build you a 
binary package, but not right now; there are other issues.

M
--
Mark Murray
iumop ap!sdn w,I idlaH





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------=_NextPart_000_021D_01C52AE9.E2883110--





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From: "Mike Thomas" <mike.thomas@brisbane.paradigmgeo.com>
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Subject: [Axiom-developer] RE: darcs patch: Remove system utilities.
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Hi Bill/Tim.

Following up on Bill's grand experiment with darcs you should receive on
this mailing list a patch generated with 'darcs send' dealing with the 'cat'
and related Unix system utility bug on Windows.

In practical terms this means that the ')summary' and ')copyright' commands
now work.

Cheers

Mike Thomas.





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From: mathaction@axiom-developer.org (Bill Page)
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomDocumentation/diff
--
This page was renamed from Axiom documentation and community to Axiom Documentation.

--
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From: "Bill Page" <bill.page1@sympatico.ca>
To: "'Mike Thomas'" <mike.thomas@brisbane.paradigmgeo.com>
Subject: RE: [Axiom-developer] RE: darcs patch: Remove system utilities.
Date: Wed, 16 Mar 2005 22:49:37 -0500
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Mike,

Thankyou for testing this and thanks for the patch!!!

On Wednesday, March 16, 2005 9:14 PM Mike Thomas wrote:
> 
> Following up on Bill's grand experiment with darcs you should 
> receive on this mailing list a patch generated with 'darcs send'
> dealing with the 'cat' and related Unix system utility bug on
> Windows.
> 
> In practical terms this means that the ')summary' and 
> ')copyright' commands
> now work.

Excellent! It worked perfectly.

Your patch appeared as an attachment in my email program.
I saved the attachment as a file named darcs-13421. Then
the commands

  cd axiom--windows--1
  darcs apply ../darcs-13421

applied the patch - just like snapping my fingers :)
I scp'd the file to axiom-developer.org and applied the
same patch to the repository. I was done in 20 seconds.

I am REALLY beginning to like darcs! :)

I would like to do the GCL 2.6.6 patches next. Since as
a patch this would be quite large because of the new gcl
tarball, if you are still on a slow internet link I can
do this from my local sources after my next rebuild
(by tomorrow).

Thanks again.

Cheers,
Bill Page.




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Hi Bill.

| I would like to do the GCL 2.6.6 patches next. Since as
| a patch this would be quite large because of the new gcl
| tarball, if you are still on a slow internet link I can
| do this from my local sources after my next rebuild
| (by tomorrow).

The computer I did the 2.6.6 patch on has a fast connection, but it seems
like overkill to do the 2.6.6 tarball that way.  I think you should go ahead
with your local sources unless there is some kind of problem there.

| Thanks again.

No worries.  I guess the proof of the pudding will ultimately be darcs ssh
write access.  Although I haven't downloaded Axiom on my slow connection
yet, Darcs worked flawlessly there on other, smaller, HTTP repositories.

| Cheers,

Indeed!  Have a good night.

Mike Thomas.





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Changes http://page.axiom-developer.org/zope/mathaction/AxiomInterpreter/diff
--
hii how r u
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomInterpreter#msg20050316222326-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Hello,
I previously compiled axiom without problems but this time on Fedora 
Core 3 I get the  error below after a few minutes of compiling. I would 
appreciate any suggestions that anyone may have to resolve this problem.
Thanks,
Zoran

gcc -c -Wall -DVOL=volatile -fsigned-char -pipe -O3 
-fomit-frame-pointer  -I/home/zoran/axiom/lsp/gcl-2.6.5/o -I../h 
-I../gcl-tk sfasl.c
In file included from sfasl.c:40:
sfaslbfd.c: In function `fasload':
sfaslbfd.c:266: error: structure has no member named `_raw_size'
sfaslbfd.c:291: error: structure has no member named `_raw_size'
sfaslbfd.c:356: error: structure has no member named `_raw_size'
make[4]: *** [sfasl.o] Error 1
make[4]: Leaving directory `/home/zoran/axiom/lsp/gcl-2.6.5/o'
make[3]: *** [unixport/saved_pre_gcl] Error 2
make[3]: Leaving directory `/home/zoran/axiom/lsp/gcl-2.6.5'
/bin/sh: unixport/saved_gcl: No such file or directory
make[2]: *** [gcldir] Error 127
make[2]: Leaving directory `/home/zoran/axiom/lsp'
make[1]: *** [lspdir] Error 2
make[1]: Leaving directory `/home/zoran/axiom'
make: *** [all] Error 2





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Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Tim Daly reported this problem fixed in the February release
in CVS at Savannah.

What version of the source are you using?

On Thursday, March 17, 2005 12:29 AM Zoran Spasojevic wrote:
> I previously compiled axiom without problems but this time
> on Fedora Core 3 I get the  error below after a few minutes
> of compiling. I would appreciate any suggestions that anyone
> may have to resolve this problem.
> Thanks,
> Zoran
> 
> gcc -c -Wall -DVOL=volatile -fsigned-char -pipe -O3 
> -fomit-frame-pointer  -I/home/zoran/axiom/lsp/gcl-2.6.5/o -I../h 
> -I../gcl-tk sfasl.c
> In file included from sfasl.c:40:
> sfaslbfd.c: In function `fasload':
> sfaslbfd.c:266: error: structure has no member named `_raw_size'
> ...



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Changes http://page.axiom-developer.org/zope/mathaction/ExampleSolution1/diff
--

--removed:
-Aside: I am getting into something I don't quite understand: the first and last two groups of code are not meant to be there, but the first somehow returns something wrong. If the commented line <code>--dNdt(t)</code> is removed, the result for the <code>subst</code> line is what I expect. If the order of the commands is as for the second group, the result is ok too.
-Finally if I copied the block to the end and run it a second time, everything is also ok. But this may go away after I save (it does not). Image is in: http://page.axiom-developer.org/zope/mathaction/images/1141703130-18px.png, just in case (this might have to do with use of <code>N(1/10,0,3)</code> and even a <code>for x in -15..5 repeat output N(x/10,0,3)</code> command that were ran during testing). However, when all the code in this page was run in Axiom, everything is as expected.
-

++added:
dNdt(t)==D(N(t,0,3),t)
-- dNdt(2)
subst(dNdt(t), t=2)

??changed:
-dNdt(t)==D(N(t,0,3),t)
---dNdt(t)
-subst(dNdt(t), t=2)
\end{axiom}

Notice that the evaluation for <code>N0(2)</code> is not really done.
One way to avoid this error is to use substitution instead of a
function call, as done in the second line above. The function call
<code>dNdt(2)</code> is not done directly.

To illustrate a common error when mixing numeric and symbolic
computation: first define the derivative as a function of <code>t</code>
and then evaluate the derivative at some value of <code>t</code>.
This does not work because when the derivative is called the system
(Axiom, or other systems) will substitute the value of <code>t</code>
before differentiating. 
\begin{axiom}

--removed:
-Compared with
-
-\begin{axiom}
-dNdt(t)==D(N(t,0,3),t)
-subst(dNdt(t), t=2)
-N(2,0,3)
-dNdt(2)
-\end{axiom}
-
-Notice that the evaluation for <code>N0(2)</code> is not really done. One way to avoid this error is to use substitution instead of a function call, as done in the second line above. 
-
-The last function call <code>dNdt(2)</code> is deliberate, to illustrate a common error when mixing numeric and symbolic computation: first define the derivative as a function of <code>t</code> and then evaluate the derivative at some value of <code>t</code>. This does not work because when the derivative is called the system (Axiom, or other systems) will substitute the value of <code>t</code> before differentiating. 
-
-
-
-\begin{axiom}
-N(2,0,3)
-dNdt(t)==D(N(t,0,3),t)
---dNdt(t)
-[3 more lines...]

--
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomInterpreter/diff
--

--removed:
-
-From unknown Wed Mar 16 22:23:26 -0600 2005
-From: 
-Date: Wed, 16 Mar 2005 22:23:26 -0600
-Subject: hi
-Message-ID: <20050316222326-0600@page.axiom-developer.org>
-
-hii how r u

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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolation/diff
--
The package below implements rational interpolation. 

\begin{axiom}
)abbrev package RINTERPA RationalInterpolationAlgorithms
++ Description:
++ This package exports rational interpolation algorithms
RationalInterpolationAlgorithms(F, P): Cat == Body   where
    F: IntegralDomain 
    P: UnivariatePolynomialCategory(F)
    Cat == with
        RationalInterpolation: (List F, List F, NonNegativeInteger,
                                NonNegativeInteger) 
                               -> Fraction P
        +++ We assume that the elements of the first list are all distinct.
        +++ If they are not, division by zero might occur.

    Body == add
        RationalInterpolation(xlist, ylist, m, k) ==
            #xlist ^= #ylist =>
                error "Different number of points and values."
            #xlist ^= m+k+1 =>
                error "wrong number of points"
            tempvec: List F := [1 for i in 1..(m+k+1)]

            collist: List List F := cons(tempvec, 
                                         [(tempvec := [tempvec.i * xlist.i _
                                                       for i in 1..(m+k+1)]) _
                                          for j in 1..max(m, k)])

            collist := append([collist.j for j in 1..(m+1)], _
                              [[- collist.j.i * ylist.i for i in 1..(m+k+1)] _
                               for j in 1..(k+1)])
            resspace: List Vector F := nullSpace((transpose matrix collist) _
                                                 ::Matrix F)
            reslist: List List P := _
                      [[monomial((resspace.1).(i+1), i) for i in 0..m], _
                      [monomial((resspace.1).(i+m+2), i) for i in 0..k]]

            reduce((_+), reslist.1)/reduce((_+), reslist.2)


)abbrev package RINTERP RationalInterpolation
++ Description:
++ This package exports interpolation algorithms
RationalInterpolation(xx, F): Cat == Body   where
    xx: Symbol
    F:  IntegralDomain
    UP  ==> UnivariatePolynomial
    SUP ==> SparseUnivariatePolynomial
 
    Cat == with
        interpolate: (Fraction UP(xx, F), List F, List F, _
                      NonNegativeInteger, NonNegativeInteger) _
                      -> Fraction UP(xx, F)

        interpolate: (List F, List F, NonNegativeInteger, NonNegativeInteger) _
                      -> Fraction SUP F

    Body == add
        RIA ==> RationalInterpolationAlgorithms

        interpolate(qx, lx, ly, m, k) ==
            px := RationalInterpolation(lx, ly, m, k)$RIA(F, UP(xx, F))

            elt(px, qx)
 
        interpolate(lx, ly, m, k) ==
            RationalInterpolation(lx, ly, m, k)$RIA(F, SUP F)
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/RationalInterpolation#msg20050317033922-0600@page.axiom-developer.org



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++added:
[CommonDenominator for polynomials]


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Changes http://page.axiom-developer.org/zope/mathaction/AxiomContributions/diff
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++added:
[Guessing formulas for sequences]


--
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Changes http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences/diff
--
The package defined below allows Axiom to guess a formula for a sequence whose first few terms are given.

--
forwarded from http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences#msg20050317034205-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/CommonDenominatorForPolynomials/diff
--
This package extends UnivariatePolynomialCommonDenominator for arbitrary polynomial categories. In fact, I don't understand why the original package is so restrictive.

\begin{axiom}
)abbrev package PCDEN PolynomialCommonDenominator
PolynomialCommonDenominator(R, Q, P, E, VarSet): Exports == Impl where
  R : IntegralDomain
  Q : QuotientFieldCategory R
  E : OrderedAbelianMonoidSup
  VarSet: OrderedSet
  P: PolynomialCategory(Q, E,VarSet)

  Exports ==> with
    commonDenominator: P -> R
      ++ commonDenominator(q) returns a common denominator d for
      ++ the coefficients of q.
    clearDenominator : P -> P
      ++ clearDenominator(q) returns p such that \spad{q = p/d} where d is
      ++ a common denominator for the coefficients of q.
    splitDenominator : P -> Record(num: P, den: R)
      ++ splitDenominator(q) returns \spad{[p, d]} such that \spad{q = p/d} and d
      ++ is a common denominator for the coefficients of q.
 
  Impl ==> add
    import CommonDenominator(R, Q, List Q)
 
    commonDenominator p == commonDenominator coefficients p
 
    clearDenominator p ==
      d := commonDenominator p
      map(numer(d * #1)::Q, p)
 
    splitDenominator p ==
      d := commonDenominator p
      [map(numer(d * #1)::Q, p), d]
\end{axiom}
--
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daly@axiom-developer.org writes:
> *,
> 
> I'm working on setting up an agenda for the axiom sprint day.
> It appears that the morning will be spent discussing future 
> directions for Axiom. The rest of the time will be spent 
> cleaning up the IssueTracker items.

Excellent!

> Mark Murray will be joining us via phone as he cannot attend
> in person.

Would it be possible to split the agenda into two broad categories; 

1) Building, compiling, portability, etc
2) Mathematical direction.

?

I'd like to attend for the first bit only, please; Right now, I'm
concentrating on getting some building/compiling issues sorted out.

M
--
Mark Murray
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Changes http://page.axiom-developer.org/zope/mathaction/47ComplexFormLogILogI/diff
--
Status: open => fix proposed 

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Yes, we can split the agenda.



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root writes:
> Yes, we can split the agenda.

Excellent, Thanks!

M
--
Mark Murray
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Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--

??changed:
-<hr />
-<div style="font-size:smaller;text-align:right">
-<a href="http://page.axiom-developer.org/zope/mathaction/FrontPage/editform">edit</a>
-(administator only)</div>
<div style="font-size:smaller;text-align:right" class="shade1">
<a href="http://page.axiom-developer.org/zope/mathaction/FrontPage/editform">
<b>edit</b></a> (administator only)</div>

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Subject: [Axiom-developer] [MACOSX] What is unexec and why does it fail ?
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Hi all,

Attempting to compile Axiom on my Mac, I get the following error :

[...]
44 invoking make in
/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/src/boot
with parms:
SYS= MACOSX
LSP= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/lsp
PART= cprogs
SPAD= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/mnt/MACOSX
SRC= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/src
INT= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/int
OBJ= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/obj
MNT= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/mnt
unexec: not enough room for load commands for new __DATA segments
make[3]: *** [/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/obj/MACOSX/bin/bootsys]
Error 1
make[2]: *** [bootdir] Error 2
make[1]: *** [srcdir] Error 2
make: *** [all] Error 2

As it looked like a memory problem, I changed my gcl configure options to:

./configure --enable-vssize=65536*4 --enable-maxpage=256*1024
--enable-machine=powerpc-macosx --enable-dlopen --disable-locbfd

but still get the same error.
After some googling, I haven't been able to find any clear doc about
what unexec is, and what it does.
Can anyone explain me what it is supposed to do, and why it might fail
in such a manner ?

Thank you in advance.

Pierre DOUCY
-- 
Cats are intended to teach us that not everything in nature has a function.



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Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--

??changed:
-- "Documentation":AxiomDocumentationAndCommunity for Axiom is abundant: it
-  ranges from short introductory tutorials to the comprehensive "Axiom
-  book":http://page.axiom-developer.org/zope/Plone/refs/books/axiom-book2.pdf
- [Axiom Documentation] for Axiom is abundant: it ranges from short
  introductory tutorials to the comprehensive
  "Axiom book":http://page.axiom-developer.org/zope/Plone/refs/books/axiom-book2.pdf

??changed:
-
-
<hr />
<div style="font-size:smaller;text-align:right">
<a href="http://page.axiom-developer.org/zope/mathaction/FrontPage/editform">edit</a>
(administator only)</div>

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Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--
Hi Bill:
The Frontpage uses "Axioms Community" in a couple of places;
I think it should read "Axiom's Community".

Cheers, Eugene Surowitz

billpage wrote:

>Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
>--
>
>??changed:
>-<hr />
>-<div style="font-size:smaller;text-align:right">
>-<a href="http://page.axiom-developer.org/zope/mathaction/FrontPage/editform">edit</a>
>-(administator only)</div>
><div style="font-size:smaller;text-align:right" class="shade1">
><a href="http://page.axiom-developer.org/zope/mathaction/FrontPage/editform">
><b>edit</b></a> (administator only)</div>
>
>--
>forwarded from http://page.axiom-developer.org/zope/mathaction/FrontPage#msg20050317092111-0600@page.axiom-developer.org
>
>
>_______________________________________________
>Axiom-developer mailing list
>Axiom-developer@nongnu.org
>http://lists.nongnu.org/mailman/listinfo/axiom-developer
>
>  
>

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	problem
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Changes http://page.axiom-developer.org/zope/mathaction/ExampleSolution1/diff
--

??changed:
-<pre>From wyscc, March 16, 2005 05:06:00</pre>
-
-
-
-The above does not really solve the problem on differentiation of a piecewise function, which, in my opinion, is an unreasonable expectation in general because of the multitude of ways to define the conditions; it may help if one uses the Heaviside function. The numerical definition of <code>N0(t)</code> is actually totally ignored in the definition of <code>N(t,i,p)</code> and thus also in the differentiation process, by the use of <code>operator('No)(t)</code>. Indeed, in the expression for <code>N</code> or its derivative with respect to <code>t</code>, the  "function" <code>N0</code> is still an <code>operator</code>, and as such, <code>N0(2)</code> is undefined! In other words, there is a distinction between the numerically defined function <code>N0</code> and the operator <code>N0</code>. This is illustrated below.
-
<pre>From wyscc, March 16, 2005 05:06:00, modified March 17 12:30:00</pre>

The above does not really solve the problem on differentiation of a piecewise function, which, in my opinion, is an unreasonable expectation in general because of the multitude of ways to define the conditions; it may help if one uses the Heaviside function, but in general, one probably needs techniques from automatic differentiation. The numerical definition of <code>N0(t)</code> is actually totally ignored in the definition of <code>N(t,i,p)</code> and thus also in the differentiation process, because of the use of <code>operator('No)(t)</code>. Indeed, in the expression for <code>N</code> or its derivative with respect to <code>t</code>, the  "function" <code>N0</code> is still an <code>operator</code>, and as such, <code>N0(2)</code> is undefined! In other words, there is a distinction between the numerically defined function <code>N0</code> and the operator <code>N0</code>. This is illustrated below.

\begin{axiom}
N(2,0,3)
\end{axiom}

Notice that the evaluation for <code>N0(2)</code> is not really done.

A common error when mixing numeric and symbolic
computation is to first define the derivative as a function of <code>t</code>
and then evaluate the derivative at some value of <code>t</code>, as in

\begin{verbatim}
dNdt(t)==D(N(t,0,3),t)
dNdt(2)
\end{verbatim}

This does not work because when <code>dNdt(2)</code> is called the system
(Axiom, or other systems) will substitute the value of <code>t=2</code> in
<code>N(t,0,3)</code> and <code>t</code> of <code>D(N(t,0,3),t)</code>
before differentiating, causing a run-time error. One way to avoid this error is to use substitution instead of a
function call, as done in the second line below. 

--removed:
--- dNdt(2)

--removed:
-N(2,0,3)
-\end{axiom}
-
-Notice that the evaluation for <code>N0(2)</code> is not really done.
-One way to avoid this error is to use substitution instead of a
-function call, as done in the second line above. The function call
-<code>dNdt(2)</code> is not done directly.
-
-To illustrate a common error when mixing numeric and symbolic
-computation: first define the derivative as a function of <code>t</code>
-and then evaluate the derivative at some value of <code>t</code>.
-This does not work because when the derivative is called the system
-(Axiom, or other systems) will substitute the value of <code>t</code>
-before differentiating. 
-\begin{axiom}

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--

??changed:
-If you are wondering what http://page.axiom-developer.org/zope/Plone is about, I recently added some explanation at AxiomsCommunity.
If you are wondering what http://page.axiom-developer.org/zope/Plone is about, I recently added some explanation at [the Axiom Community].

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Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--

--removed:
-
-From EugeneSurowitz Thu Mar 17 11:05:54 -0600 2005
-From: Eugene Surowitz
-Date: Thu, 17 Mar 2005 11:05:54 -0600
-Subject: [FrontPage]
-Message-ID: <4239B8E2.90401@attglobal.net>
-In-Reply-To: <20050317092111-0600@page.axiom-developer.org>
-
-Hi Bill:
-The Frontpage uses "Axioms Community" in a couple of places;
-I think it should read "Axiom's Community".
-
-Cheers, Eugene Surowitz
-
-billpage wrote:
-
->Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
->--
->
-[20 more lines...]

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??changed:
-Axioms integration problems
Integration problems

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Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--

??changed:
-- Please join [Axioms Community]!
- Please join [the Axiom Community]!

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Changes http://page.axiom-developer.org/zope/mathaction/AxiomProblem/diff
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??changed:
-- The "foundations":AxiomDevelopment of Axioms development model
- The "foundations":AxiomDevelopment of the Axiom development model

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Changes http://page.axiom-developer.org/zope/mathaction/TheAxiomCommunity/diff
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This page was renamed from Axioms Community to the Axiom Community.

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Changes http://page.axiom-developer.org/zope/mathaction/AxiomRelease30Beta/diff
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??changed:
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The Axiom homepage is at

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Changes http://page.axiom-developer.org/zope/mathaction/124BuildFailureInCVSTopOfTreeSourcesInSrcHyper/diff
--
It turns out this is rather old Sun regexp code.

I found an _old_ manpage that describes step(), compile, loc1 and loc2, and I'll redo the offending function to use something a bit more modern and POSIX-compliant.
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Changes http://page.axiom-developer.org/zope/mathaction/125SrcHyperMakefilePamphletUsesHtaddBareCausingBuildFailure/diff
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src/hyper/Makefile uses htadd bare. As . or ${FOO}/bin is not in the path, this fails at build time.
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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolation/diff
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--removed:
-

--removed:
-)abbrev package RINTERPA RationalInterpolationAlgorithms
-++ Description:
-++ This package exports rational interpolation algorithms
-RationalInterpolationAlgorithms(F, P): Cat == Body   where
-    F: IntegralDomain 
-    P: UnivariatePolynomialCategory(F)
-    Cat == with
-        RationalInterpolation: (List F, List F, NonNegativeInteger,
-                                NonNegativeInteger) 
-                               -> Fraction P
-        +++ We assume that the elements of the first list are all distinct.
-        +++ If they are not, division by zero might occur.
-
-    Body == add
-        RationalInterpolation(xlist, ylist, m, k) ==
-            #xlist ^= #ylist =>
-                error "Different number of points and values."
-            #xlist ^= m+k+1 =>
-                error "wrong number of points"
-[18 more lines...]

--
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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolation/diff
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++added:

Next PolynomialCommonDenominator

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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolationAlgorithms/diff
--
This page was renamed from Experiment #2 to RationalInterpolationAlgorithms.

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Changes http://page.axiom-developer.org/zope/mathaction/Experiment2/diff
--

??changed:
-Cette page a été renommée en «EfficiencyProblem». Vous pouvez supprimer celle-ci si elle n'est plus requise.
-
\begin{axiom}
)abbrev package RINTERPA RationalInterpolationAlgorithms
++ Description:
++ This package exports rational interpolation algorithms
RationalInterpolationAlgorithms(F, P): Cat == Body   where
    F: IntegralDomain 
    P: UnivariatePolynomialCategory(F)
    Cat == with
        RationalInterpolation: (List F, List F, NonNegativeInteger,
                                NonNegativeInteger) 
                               -> Fraction P
        +++ We assume that the elements of the first list are all distinct.
        +++ If they are not, division by zero might occur.

    Body == add
        RationalInterpolation(xlist, ylist, m, k) ==
            #xlist ^= #ylist =>
                error "Different number of points and values."
            #xlist ^= m+k+1 =>
                error "wrong number of points"
            tempvec: List F := [1 for i in 1..(m+k+1)]

            collist: List List F := cons(tempvec, 
                                         [(tempvec := [tempvec.i * xlist.i _
                                                       for i in 1..(m+k+1)]) _
                                          for j in 1..max(m, k)])

            collist := append([collist.j for j in 1..(m+1)], _
                              [[- collist.j.i * ylist.i for i in 1..(m+k+1)] _
                               for j in 1..(k+1)])
            resspace: List Vector F := nullSpace((transpose matrix collist) _
                                                 ::Matrix F)
            reslist: List List P := _
                      [[monomial((resspace.1).(i+1), i) for i in 0..m], _
                      [monomial((resspace.1).(i+m+2), i) for i in 0..k]]

            reduce((_+), reslist.1)/reduce((_+), reslist.2)
\end{axiom}

Next RationalInterpolation


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Changes http://page.axiom-developer.org/zope/mathaction/PolynomialCommonDenominator/diff
--
\begin{axiom}
)abbrev package PCDEN PolynomialCommonDenominator
--% PolynomialCommonDenominator
++ Author: Martin Rubey
++ Date Created: 
++ Description: PolynomialCommonDenominator provides
++ functions to compute the common denominator of the coefficients of
++ polynomials over the quotient field of a gcd domain.
++ Keywords: gcd, quotient, common, denominator, polynomial.
 
PolynomialCommonDenominator(R, Q, P, E, VarSet): Exports == Impl where
  R : IntegralDomain
  Q : QuotientFieldCategory R
  E : OrderedAbelianMonoidSup
  VarSet: OrderedSet
  P: PolynomialCategory(Q, E,VarSet)

  Exports ==> with
    commonDenominator: P -> R
      ++ commonDenominator(q) returns a common denominator d for
      ++ the coefficients of q.
    clearDenominator : P -> P
      ++ clearDenominator(q) returns p such that \spad{q = p/d} where d is
      ++ a common denominator for the coefficients of q.
    splitDenominator : P -> Record(num: P, den: R)
      ++ splitDenominator(q) returns \spad{[p, d]} such that \spad{q = p/d} and d
      ++ is a common denominator for the coefficients of q.
 
  Impl ==> add
    import CommonDenominator(R, Q, List Q)
 
    commonDenominator p == commonDenominator coefficients p
 
    clearDenominator p ==
      d := commonDenominator p
      map(numer(d * #1)::Q, p)
 
    splitDenominator p ==
      d := commonDenominator p
      [map(numer(d * #1)::Q, p), d]
\end{axiom}

Next [Guess]
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Axiom has been moved to GCL-2.6.6


20050314 tpd gcl-2.6.6.h.linux.h.patch add run-process to GCL
20050314 tpd zip/ccl.tgz added
20050314 tpd src/algebra/Makefile reduce build noise
20050314 tpd Makefile change VERSION to "Axiom 5.4 (April 2005)"
20050314 tpd lsp/Makefile handle gcl-2.6.6
20050314 tpd zips/gcl-2.6.6.tgz added
20050213 tpd Makefile change the VERSION string to March 2005
20050213 tpd src/interp/nocompil.lisp #+:ccl protected-symbol-warn msg
20050213 tpd bug 89 Types in the full book fixed




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	<200503180838.j2I8csc16983@localhost.localdomain> 
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root writes:
> 
> Axiom has been moved to GCL-2.6.6
> 
> 
> 20050314 tpd gcl-2.6.6.h.linux.h.patch add run-process to GCL
> 20050314 tpd zip/ccl.tgz added
> 20050314 tpd src/algebra/Makefile reduce build noise
> 20050314 tpd Makefile change VERSION to "Axiom 5.4 (April 2005)"
> 20050314 tpd lsp/Makefile handle gcl-2.6.6
> 20050314 tpd zips/gcl-2.6.6.tgz added
> 20050213 tpd Makefile change the VERSION string to March 2005
> 20050213 tpd src/interp/nocompil.lisp #+:ccl protected-symbol-warn msg
> 20050213 tpd bug 89 Types in the full book fixed

Great!

How do I get the top of the axiom--BSD--1 branch to be as close as
possible to axiom--main--1 with GNU Arch?

I can't see any obvious way in the docs to merge branches, and the
Arch vs CVS different approaches are making my head hurt :-).

M
--
Mark Murray
iumop ap!sdn w,I idlaH



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From: "Bill Page" <bill.page1@sympatico.ca>
To: <daly@axiom-developer.org>
Subject: RE: [Axiom-developer] axiom--main--1--patch-31
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Tim,

On Friday, March 18, 2005 3:39 AM you wrote:
> ...
> 20050314 tpd Makefile change VERSION to "Axiom 5.4 (April 2005)"
> ...

I thought we were calling the new version of Axiom 3.x?

Whence comes "Axiom 5.4"?

Regards,
Bill Page.




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Mark,

Merging whole branches is generally done by hand.
But that's mostly my distrust of source code manipulatioin tools.
My general method is to do:

  diff -r --brief oldbranch newbranch

and then do individual file diffs with hand merges. Source code
is too important to let the tools change it. 

If you want to do it in an automated way I'd suggest hopping onto
the tla IRC channel. There are some helpful people there.

t



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ah. my internal version number slipped out. 
i'm still attached to dates for versions rather than random numbers.
i'll fix that before the april release.



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root writes:
> Merging whole branches is generally done by hand.
> But that's mostly my distrust of source code manipulatioin tools.
> My general method is to do:
> 
>   diff -r --brief oldbranch newbranch
> 
> and then do individual file diffs with hand merges. Source code
> is too important to let the tools change it. 

OK, given the ammount of stuff I needed to do, that was just not
feasible. I found out how to do it, and axiom--BSD--1 is now
near-identical to axiom--main--1.

I'm a heavy user of CVS, and one of the repository maintainers for
the FreeBSD sources, so I know it pretty well. Some of the things
you can't do easily in Arch are slowing me down a bit, but I'm
getting there.

> If you want to do it in an automated way I'd suggest hopping onto
> the tla IRC channel. There are some helpful people there.

OK
--
Mark Murray
iumop ap!sdn w,I idlaH



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Changes http://page.axiom-developer.org/zope/mathaction/125SrcHyperMakefilePamphletUsesHtaddBareCausingBuildFailure/diff
--
src/hyper/Makefile.pamphlet references htadd relative to the global path.
rewrote to use ${SPADBIN} instead. 
--
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Changes http://page.axiom-developer.org/zope/mathaction/125SrcHyperMakefilePamphletUsesHtaddBareCausingBuildFailure/diff
--
Status: open => pending (next release) 

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Changes http://page.axiom-developer.org/zope/mathaction/77ProtectedSymbolWarnCalledWithNIL/diff
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Status: pending (next release) => closed 

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Subject: [Axiom-developer] [#89 Typos in the full book] property change
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Changes http://page.axiom-developer.org/zope/mathaction/89TyposInTheFullBook/diff
--
Status: pending (next release) => closed 

--
forwarded from http://page.axiom-developer.org/zope/mathaction/89TyposInTheFullBook#msg20050318142321-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#126 /bin/sh vs /bin/bash scripting
	inconsistancy] (new) 
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Changes http://page.axiom-developer.org/zope/mathaction/126BinShVsBinBashScriptingInconsistancy/diff
--
In src/algebra/makefile.pamphlet, is a 

@ if [ "${NOISE}" == "" ] ; then

construction. ${NOISE} contains "-o foo", and /bin/sh (not bash) doesn't like it.

Both /bin/sh (BSD) and /bin/bash like

  @ if [ -z "${NOISE}" ] ; then

which is the functional equivalent.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/126BinShVsBinBashScriptingInconsistancy#msg20050318152820-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#126 /bin/sh vs /bin/bash scripting
	inconsistancy] The result is a boatload of warnings in src/algebra
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Changes http://page.axiom-developer.org/zope/mathaction/126BinShVsBinBashScriptingInconsistancy/diff
--
compiling STRING.spad to STRING.NRLIB
[: -o /home/ports/math/axiom/work/axiom-BSD-1/obj/tmp/trace: unexpected operator
copying STRING.NRLIB to STRING.o
compiling SYMFUNC.spad to SYMFUNC.NRLIB
[: -o /home/ports/math/axiom/work/axiom-BSD-1/obj/tmp/trace: unexpected operator
copying SYMFUNC.NRLIB to SYMFUNC.o
compiling VECTOR2.spad to VECTOR2.NRLIB
[: -o /home/ports/math/axiom/work/axiom-BSD-1/obj/tmp/trace: unexpected operator
copying VECTOR2.NRLIB to VECTOR2.o
compiling ASP1.spad to ASP1.NRLIB
[: -o /home/ports/math/axiom/work/axiom-BSD-1/obj/tmp/trace: unexpected operator
copying ASP1.NRLIB to ASP1.o
compiling ASP10.spad to ASP10.NRLIB
[: -o /home/ports/math/axiom/work/axiom-BSD-1/obj/tmp/trace: unexpected operator
copying ASP10.NRLIB to ASP10.o
compiling ASP24.spad to ASP24.NRLIB

... and so forth
--
forwarded from http://page.axiom-developer.org/zope/mathaction/126BinShVsBinBashScriptingInconsistancy#msg20050318153050-0600@page.axiom-developer.org



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From: "Bill Page" <bill.page1@sympatico.ca>
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Subject: RE: [Axiom-developer] axiom--main--1--patch-31
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Tim,

On Friday, March 18, 2005 11:42 AM you wrote:
> 
> ah. my internal version number slipped out. 
> i'm still attached to dates for versions rather than
> random numbers. i'll fix that before the april release.
> 

No problem ...

You know how Knuth choose approximations to the number
\pi for version of TeX? Maybe for Axiom we should do the
same with %e? ;) Like so

  version 2.7
  version 2.72
  version 2.718

It seems appropriate that the implication that the project
is converging toward some goal, rather than drifting from
inspiration to inspiration like some other programs I know :)

Not seriously, but it might be fun.

Regards,
Bill Page.




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Subject: RE: [Axiom-developer] Re: axiom--main--1--patch-31 
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On Friday, March 18, 2005 12:28 PM Mark Murray wrote:
> 
> root writes:
> > Merging whole branches is generally done by hand.
> > But that's mostly my distrust of source code manipulatioin
> > tools. My general method is to do:
> > 
> >   diff -r --brief oldbranch newbranch
> > 
> > and then do individual file diffs with hand merges.
> > Source code is too important to let the tools change
> > it.

This is one point that I cannot agree with Tim about.
I think in order for Axiom to advance it must begin to
depend on the use of more sophisticated and higher level
source code tools - after all we now longer write much
in assembler language... It's time we begin to put more
trust in the tools (the right tools, that is). Oh ya,
I guess it was Tim who has suggested that all of Axiom
should actullay be written in lisp "machine language" ;)

> 
> OK, given the ammount of stuff I needed to do, that was
> just not feasible. I found out how to do it, and
> axiom--BSD--1 is now near-identical to axiom--main--1.

Mark, I'm very glad to hear about someone using the more
advanced features of arch (star-merge, I presume?). If you
have a moment to spare, I think it would be great if you
could write up a little "I did it this way" recipe for others
to follow. I find most of the arch documentation too obscure
and unapplied to be easily digested. For my taste arch has
too many ways of doing things and a lot of them not obvious
nor intuitively named. But once you see how someone has made
it work in a real situation it seems much more clear.

Regards,
Bill Page.




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To: Bill Page <bill.page1@sympatico.ca>
Subject: Re: [Axiom-developer] axiom--main--1--patch-31
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I have a feeling Axiom will go through at least 42 more releases in its
lifetime.  (at least, I hope)  Somehow, I think people might not notice
that version 2.71828182845904523536028747135266249775724 is not the same
as 2.718281828459045235360287471352662497757247.  ;)

Ok how do I do that in axiom?

\begin{axiom}
%e@Float
\begin{axiom}

gives me the value, but how do I change the number of digits displayed?
My guess: %e@Float(42) is wrong...

Bill Page [bill.page1@sympatico.ca] wrote:
> Tim,
> 
> You know how Knuth choose approximations to the number
> \pi for version of TeX? Maybe for Axiom we should do the
> same with %e? ;) Like so
> 
>   version 2.7
>   version 2.72
>   version 2.718
> 
> It seems appropriate that the implication that the project
> is converging toward some goal, rather than drifting from
> inspiration to inspiration like some other programs I know :)
> 
> Not seriously, but it might be fun.
--
Cheers,
Bob McElrath [Univ. of California at Davis, Department of Physics]

    Censorship is never over for those who have experienced it. It is a brand
    on the imagination that affects the individual who has suffered it,
    forever.  -- Noam Chomsky 

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From: "Bill Page" <bill.page1@sympatico.ca>
To: "'Bob McElrath'" <bob+axiom@mcelrath.org>
Subject: RE: [Axiom-developer] axiom--main--1--patch-31
Date: Fri, 18 Mar 2005 18:53:40 -0500
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On Friday, March 18, 2005 6:33 PM Bob McElrath wrote:
> 
> I have a feeling Axiom will go through at least 42 more 
> releases in its lifetime.  (at least, I hope)  Somehow,
> I think people might not notice that version
> 2.71828182845904523536028747135266249775724
> is not the same as
> 2.718281828459045235360287471352662497757247.  ;)

I think Knuth only used this for **major** versions.
TeX is older and it is currently at version 3.141592

> 
> Ok how do I do that in axiom?
> 
> \begin{axiom}
> %e@Float
> \begin{axiom}
> 
> gives me the value, but how do I change the number of digits 
> displayed? My guess: %e@Float(42) is wrong...

\begin{axiom}
digits(2)
%e@Float
digits(3)
%e@Float
digits(4)
%e@Float
digits(5)
%e@Float
\begin{axiom}

Regards,
Bill Page.

> 
> Bill Page [bill.page1@sympatico.ca] wrote:
> > Tim,
> > 
> > You know how Knuth choose approximations to the number
> > \pi for version of TeX? Maybe for Axiom we should do the
> > same with %e? ;) Like so
> > 
> >   version 2.7
> >   version 2.72
> >   version 2.718
> > 




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To: Bill Page <bill.page1@sympatico.ca>
Subject: Re: [Axiom-developer] axiom--main--1--patch-31
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Bill Page [bill.page1@sympatico.ca] wrote:
> On Friday, March 18, 2005 6:33 PM Bob McElrath wrote:
> > 
> > I have a feeling Axiom will go through at least 42 more 
> > releases in its lifetime.  (at least, I hope)  Somehow,
> > I think people might not notice that version
> > 2.71828182845904523536028747135266249775724
> > is not the same as
> > 2.718281828459045235360287471352662497757247.  ;)
> 
> I think Knuth only used this for **major** versions.
> TeX is older and it is currently at version 3.141592

Of course, one could also number by Mersinne primes.  Then when you got
to the 42nd version you'd have to distribute a 100MB file with just the
version number in it!  ;)  Stable releases could be the ones that are
actually prime.  ;)

Oh it's friday, I'm getting silly again.

--
Cheers,
Bob McElrath [Univ. of California at Davis, Department of Physics]

    Censorship is never over for those who have experienced it. It is a brand
    on the imagination that affects the individual who has suffered it,
    forever.  -- Noam Chomsky 

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On Fri, 18 Mar 2005, Bill Page wrote:
> You know how Knuth choose approximations to the number
> \pi for version of TeX? Maybe for Axiom we should do the
> same with %e? ;) Like so
> 
>   version 2.7
>   version 2.72
>   version 2.718
This is exactly what Knuth did for Metafont.

By the way, I rather like the scheme
<version> = <year>.<month>
which seems to by the Tim Daly's internal numbering. It makes much sense, 
especially if releases are sheduled 1 per month. Many projects (Gentoo and 
Ubuntu, for example) use such scheme.

Andrey




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	inconsistancy] fix format
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Changes http://page.axiom-developer.org/zope/mathaction/126BinShVsBinBashScriptingInconsistancy/diff
--

??changed:
-In src/algebra/makefile.pamphlet, is a 
-
-@ if [ "${NOISE}" == "" ] ; then
-
-construction. ${NOISE} contains "-o foo", and /bin/sh (not bash) doesn't like it.
-
-Both /bin/sh (BSD) and /bin/bash like
-
-  @ if [ -z "${NOISE}" ] ; then
In {\tt src/algebra/makefile.pamphlet}, is a 

<pre>
@ if [ "\${NOISE}" == "" ] ; then
</pre>

construction. <code>\${NOISE}</code> contains <code>-o foo</code>, and <code>/bin/sh</code> (not <code>bash</code>) doesn't like it.

Both <code>/bin/sh (BSD)</code> and <code>/bin/bash</code> like

<pre> @ if [ -z "\${NOISE}" ]; then 
</pre>

++added:


++added:
<pre>

++added:
</pre>

--
forwarded from http://page.axiom-developer.org/zope/mathaction/126BinShVsBinBashScriptingInconsistancy#msg20050319021258-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/PolynomialCommonDenominator/diff
--

++added:
Example use:

\begin{axiom}
)set mess type off
dom:=DMP([x,y], FRAC DMP([z],INT));
p:dom:=x*y^3/(z^2-1) + 3*x*y/(z^3-1)
commonDenominator p
clearDenominator p
splitDenominator p
\end{axiom}


--
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Bill Page writes:
 > You know how Knuth choose approximations to the number
 > \pi for version of TeX? Maybe for Axiom we should do the
 > same with %e? ;) Like so
 > 
 >   version 2.7
 >   version 2.72
 >   version 2.718

This is the versioning of metafont, so it doesn't seem appropriate.

I like the patch number best, since it is then a trivial matter to generate the
appropriate source. Also, returning to my wish of letting the user specify an
axiom version, (in fact, needed only in IssueTracker): I guess it would make
this easier, too. Bill: It's needed only per page, at least for a start. You said,
you ran together the axiom environments to a pile. So, maybe it is possible to
store the optional argument of the first axiom environment into a variable and
then start the Axiom-executable indicated by this optional argument?

Martin




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Subject: [Axiom-developer] [RationalInterpolationAlgorithms] Add example,
	comments; display problem
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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolationAlgorithms/diff
--

++added:
Example (added by wyscc):

\begin{axiom}
f(x)== (x^3+5*x-3)/(x^2-3)
f(x)
xlist:List FRAC INT :=[1/2, 4, 1/6, 8, 1/10, 12]
ylist :=[f(x) for x in xlist]
RationalInterpolation(xlist, ylist, 3,2)$RINTERPA(FRAC INT,UP(x,FRAC INT))
\end{axiom}

A harder example:

\begin{axiom}
dom:=DMP([z],INT);
g:FRAC dom -> FRAC dom
g(x) == (x^3*z+5*z^2*x -3*z^3)/(z*x^2 - 3)
xxlist:List FRAC dom:=[1/(2*z), 4*z, 1/(6*z), 8*z, 1/(10*z), 12*z]
yylist:=[g(x) for x in xxlist]
RationalInterpolation(xxlist, yylist, 3::NNI, 2::NNI)$RINTERPA(FRAC dom, _
UP(x, FRAC dom))
\end{axiom}

Comments (from wyscc):

<OL>
<li>Abbreviations for a constructor should be limited to 7 letters (not 8). The system occasionally adds the 8th character to a package for internal use.
<li>Function names begin with a lower case, so <code>RationalInterpolation</code> should be <code>rationalInterpolation</code>, or better, <code>rationalInterpolate</code>.
<li>If we are doing a rational interpolation, presumably the values are rational, so it does not make sense to require the <code>y</code>-coordinates of inputs be integral. On the other hand, as in the above example, if one uses <code>FRAC INT</code>, problems can arise when this package is combined with other packages that constructs the quotient field of the parameter domain <code>F</code> because Axiom does not like constructing <code>FRAC FRAC INT</code> for example. 
<li>Since the variable is not specified by the package, but is required by the function call to <code>RationalInterpolation</code> (because of its signature), it seems more convenient to include the variable in the call to the package, to allow the Interpreter to locate the function more easily.
</OL>

Aside: Display problem:

\begin{itemize}
\item Can't use {\tt ABC} or <code>ABC</code> within LaTeX.
\end{itemize}


--
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Subject: [Axiom-developer] [RationalInterpolationAlgorithms] Move back
	RationalInterpolation; example, question
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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolationAlgorithms/diff
--

??changed:
-Next RationalInterpolation
-
The package below implements rational interpolation. 
\begin{axiom}
)abbrev package RINTERP RationalInterpolation
++ Description:
++ This package exports interpolation algorithms
RationalInterpolation(xx, F): Cat == Body   where
    xx: Symbol
    F:  IntegralDomain
    UP  ==> UnivariatePolynomial
    SUP ==> SparseUnivariatePolynomial
 
    Cat == with
        interpolate: (Fraction UP(xx, F), List F, List F, _
                      NonNegativeInteger, NonNegativeInteger) _
                      -> Fraction UP(xx, F)
        interpolate: (List F, List F, NonNegativeInteger, NonNegativeInteger) _
                      -> Fraction SUP F

    Body == add
        RIA ==> RationalInterpolationAlgorithms

        interpolate(qx, lx, ly, m, k) ==
            px := RationalInterpolation(lx, ly, m, k)$RIA(F, UP(xx, F))
            elt(px, qx)
 
        interpolate(lx, ly, m, k) ==
            RationalInterpolation(lx, ly, m, k)$RIA(F, SUP F)
\end{axiom}

Comments: Packages compiled on MathAction seems to be local to the page. Dependent packages therefore needs to be on the same page to load the packages in correct sequence.

Example:

\begin{axiom}
interpolate(xlist, ylist, 3, 2)$RINTERP('x, FRAC INT)
interpolate(1/6::FRAC UP(x,FRAC INT), xlist, ylist, 3,2)$RINTERP('x,FRAC INT)
interpolate(xxlist, yylist, 3, 2)$RINTERP('x, FRAC dom)
interpolate(4*z::FRAC UP(x,dom), xxlist, yylist, 3, 2)$RINTERP('x, FRAC dom)
\end{axiom}

Question: If <code>p(xx) = interpolate(lx, ly, m, k)</code>, what is the purpose of
<code>elt(px, qx) = p(qx)</code>, the composition of <code>p(xx)</code> and <code>qx</code>, especially when <code>qx</code> is from <code>FRAC UP(xx, F)</code> instead of from just <code>F</code>? and why is this function (the composition) also called <code>interpolate</code>?

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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolationAlgorithms/diff
--

??changed:
-<li>If we are doing a rational interpolation, presumably the values are rational, so it does not make sense to require the <code>y</code>-coordinates of inputs be integral. On the other hand, as in the above example, if one uses <code>FRAC INT</code>, problems can arise when this package is combined with other packages that constructs the quotient field of the parameter domain <code>F</code> because Axiom does not like constructing <code>FRAC FRAC INT</code> for example. 
-<li>Since the variable is not specified by the package, but is required by the function call to <code>RationalInterpolation</code> (because of its signature), it seems more convenient to include the variable in the call to the package, to allow the Interpreter to locate the function more easily.
<li>If we are doing a rational interpolation, presumably the values are rational, so it does not make sense to require the <code>y</code>-coordinates of inputs be integral. On the other hand, as in the above example, if one uses <code>FRAC INT</code>, problems can arise when this package is combined with other packages that constructs the quotient field of the parameter domain <code>F</code> because Axiom does not like constructing <code>FRAC FRAC INT</code>. 

--
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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolationAlgorithms/diff
--

??changed:
-Comments: Packages compiled on MathAction seems to be local to the page. Dependent packages therefore needs to be on the same page to load the packages in correct sequence.
Comments: Packages compiled on MathAction seem to be local to the page. Dependent packages therefore need to be on the same page to load the packages in correct sequence.

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"Bill Page" writes:
> > > and then do individual file diffs with hand merges.
> > > Source code is too important to let the tools change
> > > it.
> 
> This is one point that I cannot agree with Tim about.
> I think in order for Axiom to advance it must begin to
> depend on the use of more sophisticated and higher level
> source code tools - after all we now longer write much
> in assembler language... It's time we begin to put more
> trust in the tools (the right tools, that is). Oh ya,
> I guess it was Tim who has suggested that all of Axiom
> should actullay be written in lisp "machine language" ;)

I think I agree with this; one of the purposes of these SCM
tools is to help share the load, but it seems that aspect is
expressly forbidden for now. :-)

FWIW, the FreeBSD project has ahout 300 developers, of which
about 20-40 are really active, and this works really well.

An aspect of the way the Axiom project is run is still 
confusing me; there seems to be a combining of the concepts
of "release" and "commit", so getting hold of daily development
sources is Hard(tm). Is it not possible to make the more
speculative edits available in "CURRENT" form, and apply
a release-engineering methodology to preparing working
sources for the consumption of the unwashed masses? I'm
thinking of a CVS "HEAD" kind of approach, rather than
the multiple-Arch-repos approach that is currently there.

> > OK, given the ammount of stuff I needed to do, that was
> > just not feasible. I found out how to do it, and
> > axiom--BSD--1 is now near-identical to axiom--main--1.
> 
> Mark, I'm very glad to hear about someone using the more
> advanced features of arch (star-merge, I presume?).

Just plain "merge", IIRC. Things still take forever while tla
"phones home" on occaision, but I've discovered caching (but
not tried it yet), so this may improve.

>                                                      If you
> have a moment to spare, I think it would be great if you
> could write up a little "I did it this way" recipe for others
> to follow. I find most of the arch documentation too obscure
> and unapplied to be easily digested. For my taste arch has
> too many ways of doing things and a lot of them not obvious
> nor intuitively named. But once you see how someone has made
> it work in a real situation it seems much more clear.

I'll try :-). There are still things that Arch does in a really
roundabout way that I'm really battling with. Like:

1) How to quickly commit 1 file out of the tree.

2) How to find all the diffs in a nominated list of files or in
   a dir (and maybe its subdirs).

3) How to blow away all the edits to one file only, one dir
   only, one subtree only and one list of nominated files only.

4) How to quickly replicate the tree so a mechanical edit/commit
   can be done to pristine sources.

.... and I'll no doubt find more.

M
--
Mark Murray
iumop ap!sdn w,I idlaH





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> > > > and then do individual file diffs with hand merges.
> > > > Source code is too important to let the tools change
> > > > it.
> > 
> > This is one point that I cannot agree with Tim about.
> > I think in order for Axiom to advance it must begin to
> > depend on the use of more sophisticated and higher level
> > source code tools - after all we now longer write much
> > in assembler language... It's time we begin to put more
> > trust in the tools (the right tools, that is). Oh ya,
> > I guess it was Tim who has suggested that all of Axiom
> > should actullay be written in lisp "machine language" ;)
> 
> I think I agree with this; one of the purposes of these SCM
> tools is to help share the load, but it seems that aspect is
> expressly forbidden for now. :-)

forbidden?

> An aspect of the way the Axiom project is run is still 
> confusing me; there seems to be a combining of the concepts
> of "release" and "commit", so getting hold of daily development
> sources is Hard(tm). Is it not possible to make the more
> speculative edits available in "CURRENT" form, and apply
> a release-engineering methodology to preparing working
> sources for the consumption of the unwashed masses? I'm
> thinking of a CVS "HEAD" kind of approach, rather than
> the multiple-Arch-repos approach that is currently there.

you're still thinking in CVS terms it seems. Arch has the notion
of a changeset which is a single change that involves multiple files.
For instance, the -30 to -31 change is mostly about moving to GCL-2.6.6

There are various branches in the axiom archive, each subproject having
particular people associated with it (see arch.axiom-developer.org).
The HEAD branch is axiom--main--1. I don't do daily commits to this
branch. There would be no point. The changes I make are usually of
a large nature (e.g., add the browser, move GCLs, merge other branch
work, or periodic cleanups).

The flow of work seems to be:

  local changes 
    commit to a branch
      merge branch to main
        monthly merge of main to savannah, sourceforge

whereas in CVS projects it was normal to do a CVS ci  and also
to perform individual file changes. The two systems have completely
different mindsets (and changesets :-) ).

The "latest" axiom sources that can be reached are usually in a
branch. The main branch is at most a few weeks newer than the 
golden sources on sourceforge and savannah. The local changes
on my disk are always broken. Indeed, to do testing I usually 
have do download and build the main branch because I rarely have
a working copy available.

I chose to use arch because I follow the linux kernel work fairly
closely. They have moved the kernel to bitkeeper which is a proprietary
program. Arch was the closest I've found in the free world (SVN and
Darcs were the other choices). I'm not overjoyed with it but then I've 
never found a system that was obvious and clear. Arch is still an
experiment and I may yet change my mind. 

We should probably start an arch cookbook page on the axiom wiki.

t



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Subject: Re: [Axiom-developer] Re: axiom--main--1--patch-31 
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root writes:
> > I think I agree with this; one of the purposes of these SCM
> > tools is to help share the load, but it seems that aspect is
> > expressly forbidden for now. :-)
> 
> forbidden?

Erm, I reread what I wrote, and it is rather unfortunately written.

Sorry.

I meant that developers don't get a hand in on the daily editing,
rather it is a

submit-to-queue; queue-is-processed; receive-from-queue

model, which while working, is single threaded, and there is more than 
one developer submitting stuff.

So I guess a better way of saying what I meant is that I think you are 
going to get swamped when more folks start to submit stuff, and may 
want to consider a bigger team (No, I have enough work, thank you!).

> you're still thinking in CVS terms it seems. Arch has the notion
> of a changeset which is a single change that involves multiple files.
> For instance, the -30 to -31 change is mostly about moving to GCL-2.6.6

Sure.

> The flow of work seems to be:
> 
>   local changes 
>     commit to a branch
>       merge branch to main
>         monthly merge of main to savannah, sourceforge
> 
> whereas in CVS projects it was normal to do a CVS ci  and also
> to perform individual file changes. The two systems have completely
> different mindsets (and changesets :-) ).

Us CVS folks would _kill_ for CVS to grow changesets, but we still
would demand our daily bread^Wsource. :-)

We substitute by trying to commit related fixes together, but CVS
doesn't help us much here.

> The "latest" axiom sources that can be reached are usually in a
> branch. The main branch is at most a few weeks newer than the 
> golden sources on sourceforge and savannah. The local changes
> on my disk are always broken. Indeed, to do testing I usually 
> have do download and build the main branch because I rarely have
> a working copy available.

The FreeBSD model, in terms of the above workflow is

local change
   commit to HEAD
      merge Good(tm) changes to STABLE branch
         release STABLE branch every 3 months or so

And all developers have continuous access to the repository, and they
all know WHO may commit WHAT to WHERE. The developer who committed to 
HEAD usually does the merge to STABLE, and they usually have a jolly 
good idea about what is Good(tm), because rather a lot of people are
running CURRENT (==HEAD). World+Dog can check out 1/2-hour old checkins
and see if they solve reported problems.

And this is distributed. HEAD must not be broken, but as work is
shared,it sometimes is. This is OK, as long as we are not in a release 
cycle, and as long as reports of breakage are reacted to and sorted out 
quickly enough. Breaking STABLE is a capital offense. ;-)

> I chose to use arch because I follow the linux kernel work fairly
> closely. They have moved the kernel to bitkeeper which is a proprietary
> program. Arch was the closest I've found in the free world (SVN and
> Darcs were the other choices). I'm not overjoyed with it but then I've 
> never found a system that was obvious and clear. Arch is still an
> experiment and I may yet change my mind. 

SCM choice is rather limited, I agree. Perforce is VERY good at 
branching and branch merging, and its free to OSS folks. Its very full 
featured also. FreeBSD uses it for the more speculative/risky 
development projects, where is is not clear that the work is useful or 
can be finished.

> We should probably start an arch cookbook page on the axiom wiki.

That would help a LOT.

M
--
Mark Murray
iumop ap!sdn w,I idlaH





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Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
root writes:
> The February 2005 release of Axiom has been posted to:
> 
>  savannah.nongnu.org/projects/axiom
>  sourceforge.net/projects/axiom
>  arch.axiom-developer.org as axiom--main--1--patch-29

A FreeBSD port of this has been compiled for FreeBSD 5.3, and is 
available at

http://people.freebsd.org/~markm/axiom-0.0.tbz

Use pkg_add(1) to install it.

Please report FreeBSD-specific problems with the package to me, and 
more general problems to the Axiom lists.

This is a first cut at a FreeBSD release, there are no doubt a zillion 
things wrong with it. Handle with care.

Thanks!

M

--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg200503191907.j2JJ7I1D061125@grovel.grondar.org



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From: root <daly@axiom-developer.org>
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in CVS you mention a flow of:

 local change
   commit to HEAD
     merge Good(tm) changes to STABLE branch
       release STABLE branch every 3 months or so

in Arch the HEAD==branch. rather than everyone working on the
same set of sources the branches allow you to work on BSD related
changes where Bill can work on Windows related changes. These 
get sorted at the merge-into-main step when the branch is considered
working. Thus rather than have 10 developers working on the HEAD
there are 1 or 2 developers working on individual branches. This
makes it less likely that they will step on each other.

It also allows us to explore structural changes such as your
suggestion of skipping the lsp subdir build, and complete rebuilds
such as the SBCL ansi common lisp branch. These are not possible 
under a CVS model except as a new project.

Arch has its problems though. I haven't figured out how to kill off
a whole branch. And the --no-pristine option does not seem to work.

t





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root writes:
> in CVS you mention a flow of:
> 
>  local change
>    commit to HEAD
>      merge Good(tm) changes to STABLE branch
>        release STABLE branch every 3 months or so
> 
> in Arch the HEAD==branch. rather than everyone working on the
> same set of sources the branches allow you to work on BSD related
> changes where Bill can work on Windows related changes. These 
> get sorted at the merge-into-main step when the branch is considered
> working. Thus rather than have 10 developers working on the HEAD
> there are 1 or 2 developers working on individual branches. This
> makes it less likely that they will step on each other.

Right - but at some stage the issue of "Do my BSD changes break 
Windows?" crops up, and in the "all commits go to HEAD model", it means 
that thinking about this forms part of my work, it is not something 
that needs to be re-engineered later, particularly if the other 
developers and I are approaching the problem in horribly incompatible
ways.

It allows us to co-operate earlier, in other words. 

> It also allows us to explore structural changes such as your
> suggestion of skipping the lsp subdir build, and complete rebuilds
> such as the SBCL ansi common lisp branch. These are not possible 
> under a CVS model except as a new project.

Not really. The only project that I've seen which really tested CVS' 
limits that way was FreeBSD's 3-year mission to redesign the SMP 
fundamentals, and that was an _ENORMOUS_ piece of work that tore the 
kernel apart.

We've reorganised the tree, we've upgraded the C compiler, we've added 
new CPU architectures, we've sliced of big chinks of old code, and 
we've played very nasty games with cryptographic regulations of the 
incomprehensible kind. CVS worked, not always very well, but the 
development model was roundly affirmed.

> Arch has its problems though. I haven't figured out how to kill off
> a whole branch. And the --no-pristine option does not seem to work.

Yeah :-(.

Arch is not very feature-rich. It may get there, who knows? :-)

I guess the most important part of what I'm on about, though, is how 
the Axiom project is going to scale once (when!) it gets popular. Once 
the submissions start pouring in, how are you going to cope?

I understand, (and fervently hope!) that it will be an extraordinarily 
comprehensive mathematics package, and I'm suggesting that the Linus 
Torvalds' Linux kernel development model won't scale very well. I'd LOVE
to be proven wrong :-).

M
--
Mark Murray
iumop ap!sdn w,I idlaH





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Changes http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences/diff
--

??changed:
-The package defined below allows Axiom to guess a formula for a sequence whose first few terms are given.
-
  We present a software package that guesses formulas for sequences of rational
  numbers, rational functions and also more complicated formulas, given the
  first few terms. Thereby we extend and complement Christian Krattenthaler's
  program 'Rate', Doron Zeilberger's program 'GuessRat' and the relevant parts
  of Bruno Salvy and Paul Zimmermann's 'GFUN'.

  Introduction

    For some a brain-teaser, for others one step in proving their next theorem:
given the first few terms of a sequence of, say, integers, what is the next
term, what is the general formula? Of course, no unique solution exists,
however, by Occam's razor, we will prefer a "simple" formula over a more
"complicated" one.

Some sequences are very easy to "guess", like
\begin{equation}
1,4,9,16,\dots,
\end{equation}
or
\begin{equation}
1,1,2,3,5,\dots.
\end{equation}
Of course, at times we might want to guess a formula for a sequence of
polynomials, too:
\begin{equation}
1,1+q+q^2,(1+q+q^2)(1+q^2),(1+q^2)(1+q+q^2+q^3+q^4)\dots,
\end{equation}
or
\begin{equation}
\begin{split}
1, 1, 1 + q, 1 + q + q^2, 1 + q + q^2 + q^3 + q^4, 1 + q + q^2 + q^3 + 2q^4 +
q^5 + q^6,\\
1 + q + q^2 + q^3 + 2q^4 + 2q^5 + 2q^6 + q^7 + q^8 + q^9, (1 + q^4 + q^6)(1 +
q + q^2 + q^3 + q^4 + q^5 + q^6),\\
(1 + q^4)(1 + q + q^2 + q^3 + q^4 + q^5 + 2q^6 + 2q^7 + 2q^8 + 2q^9 + q^{10} +
q^{11} + q^{12}),\dots
\end{split}
\end{equation}

Fortunately, with the right tool, it is a matter of a moment to figure out
formulas for all of these sequences. In this article we describe a computer
program that encompasses well known techniques and adds new ideas that we hope
to be very effective.

We would also like to mention *The online encyclopedia of integer sequences* of
Neil Sloane. There, you can enter a sequence of integers and chances are good
that the website will respond with one or more likely matches.  However, the
approach taken is quite different from ours: the encyclopedia keeps a list of
currently 103,667 sequences, entered manually, and it compares the given
sequence with each one of those. Besides that, it tries some simple
transformations on the given sequence to find a match.  Furthermore it tries
some simple programs we will describe below to find a formula, although with a
time limit, i.e., it gives up when too much time has elapsed.

Thus, the two approaches complement each other: For example, there are
sequences where no simple formula is likely to exist, and which can thus be
found only in the encyclopedia. On the other hand, there might be sequences
that have not yet found their way into the encyclopedia, but can be guessed in
a few minutes by your computer.

  Guessing Algorithms

    A formula for Sequence (1), is almost trivial to guess: it seems
obvious that it is $n^2$. More generally, if we believe that the sequence in
question is generated by a polynomial, we can simply apply interpolation.
However, how can we "know" that a polynomial formula is appropriate? The answer
is quite simple: we use all but the last term of the sequence to derive the
formula. After this, the last term is compared with the value predicted by the
polynomial. If they coincide, we can be confident that the guessed formula is
correct.

The second sequence does not seem to be generated by a polynomial. However,
paralleling interpolation, Pad\'e approximation may be used to find out whether
the terms of the sequence satisfy a linear reccurrence with constant
coefficients, as is the case here.

We would like to point out that the main problem we have to solve is about
efficiency. For example, maybe we would like to test whether the formula is
rational with an Abelian term, i.e., has the form
\begin{equation}
  n\mapsto (a+bn)^n \frac{a_0+a_1 n+a_2 n^2+\dots+a_k n^k}
                         {1+b_1 n+b_2 n^2+\dots+b_l n^l}
\end{equation}
for some $k$ and $l$. Of course, we could set up an appropriate system of
$k+l+4$ polynomial equations in $k+l+3$ unknowns. However, it will usually take
a very long time to solve this system. Thus, we need to find *efficient*
algorithms that test for large classes of formulas.


It is obvious that the first method described is easily extended to cover
rational functions via rational interpolation. Similarly, the second method can
be extended to cover differentially finite or even differentially algebraic
functions. One of the contributions of this article is to show that there is
also a feasible way to guess sequences generated by Formula~\ref{eq5}.

  Operators

    Still, there are a lot of formulas which cannot be found using interpolation or
Pade approximation. However, it occurs frequently that although a formula is
not rational, applying one of the two following operators makes it rational:

  - $\Delta_n$ the differencing operator, transforming $f(n)$ into
  $f(n)-f(n-1)$, and
  - $Q_n$ the operator that transforms $f(n)$ into $f(n)/f(n-1)$.

Thus, we simply apply these operators recursively to the sequence, until we are
able to guess a formula using interpolation, Pad\'e approximation or one of its
extensions.

  Using the package

    In this section we describe how to guess a formula for your favorite sequence
with the 'Axiom' package 'Guess'.

The package provides currently four primitive guessing functions, namely:

  - 'guessRat' for guessing rational functions,
  - 'guessExpRat' for guessing rational functions with an Abelian-type
    term as in (5),
  - 'guessPade' for guessing sequences defined by a recurrence with
    constant coefficients, and
  - 'guessPRec' for guessing sequences defined by a recurrence with
    polynomial coefficients.

Among these, 'guessRat' and 'guessPade' are very fast, 'guessPRec'
is reasonably fast and 'guessExpRat' is rather slow. 

    Guessing formulas for sequences of rational numbers

      For example, if we suspect that a sequence of integers or rationals like
Sequence (2) satisfies a simple recurrence, we type::

  guessPade(n, [1, 1, 2, 3, 5], n+->n)\$GuessInteger

to obtain an answer like
\begin{equation*}
 \left[
{\left[ {function={coefficient 
\left(
{-{1 \over {{ x \sp 2}+ x -1}}, \: x, \: n} 
\right)}},
\: {order=1} 
\right]}
\right]
\end{equation*}

Thus, we used the operation 'guessPade' from the package 'GuessInteger' to
guess the $n^{th}$ term of the sequence 1,1,2,3,5. The meaning of 'n+->n'
will be made clear later.

The result is a list of formulas which seem to fit, along with an integer that
states from which term on the formula is correct. The latter is necessary,
because rational interpolation features sometimes *unattainable points*,
as the following example shows::

  guessRat(n, [3, 4, 7/2, 18/5, 11/3, 26/7], n+->n)\$GuessInteger

returns
\begin{equation*}
\left[
{\left[ {function={{4n+2} \over {n+1}}}, \: {order=3} 
\right]}
\right].
\end{equation*}
Here, $order=3$ indicates that the first two terms of the sequence *might* not
coincide with the value of the returned function. A similar situation occurs,
if the function generating the sequence has a pole at $n_0\in\mathbb N$, where
$0 < n_0 < m$ and $m$ is the number of given values. We would like to stress
that this is rather a feature than a "bug": most terms will be correct,
just as in the example above, where the value at $n=1$ is indeed $3$.

Apart from 'guessRat', 'guessExpRat', 'guessPade' and 'guessPRec', the package
provides a top level operation 'guess', which applies the operators $\Delta_n$
and $Q_n$ recursively to the given sequence and then tries the specified
guessing algorithms. For example, given the sequence
\begin{equation*}
0,1,3,9,33,\dots,
\end{equation*}
the appropriate function is::

  guess(n, [0, 1, 3, 9, 33], n+->n, [guessRat, guessPade], 
        [guessSum, guessProduct, guessOne])\$GuessInteger

and the output will be - apart from some information on the progress -
\begin{equation*}
\left[
{\left[ {function={\sum \sb{\displaystyle {{s \sb {5}}=1}} \sp{\displaystyle 
{n -1}} {\prod \sb{\displaystyle {{p \sb {4}}=1}} \sp{\displaystyle {{s \sb 
{5}} -1}} {({p \sb {4}}+1)}}}}, \: {order=1} 
\right]}
\right].
\end{equation*}

Thus, 'guess' takes five parameters. The first three parallel the parameters in
the other guessing functions. The fourth parameter is a list of guessing
functions to be tried, in the example 'guessRat' and 'guessPade'. The fifth
parameter specifies which operators should be applied.  Additionally the option
'guessOne' can be specified, which tells the program to stop immediately if one
fitting function has been found.
[77 more lines...]

--
forwarded from http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences#msg20050319145958-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#127 Chuck Miller <c.miller@ms.unimelb.edu.au>]
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Changes http://page.axiom-developer.org/zope/mathaction/127ChuckMillerCMillerMsUnimelbEduAu/diff
--


Building axiom from source fails on my Fedora Core 3 system at the
following:


36 making /home/cfm/spad/axiom/mnt/fedora3/doc/src/boot/typrops.boot.dvi from /home/cfm/spad/axiom/src/boot/typrops.boot.pamphlet
40 making /home/cfm/spad/axiom/mnt/fedora3/doc/src/boot/tytree1.boot.dvi from /home/cfm/spad/axiom/src/boot/tytree1.boot.pamphlet
44 invoking make in /home/cfm/spad/axiom/src/boot with parms:
SYS= fedora3
LSP= /home/cfm/spad/axiom/lsp
PART= cprogs
SPAD= /home/cfm/spad/axiom/mnt/fedora3
SRC= /home/cfm/spad/axiom/src
INT= /home/cfm/spad/axiom/int
OBJ= /home/cfm/spad/axiom/obj
MNT= /home/cfm/spad/axiom/mnt
make[3]: *** [/home/cfm/spad/axiom/obj/fedora3/bin/bootsys] Error 255
make[3]: Leaving directory `/home/cfm/spad/axiom/src/boot'
make[2]: *** [bootdir] Error 2
make[2]: Leaving directory `/home/cfm/spad/axiom/src'
make[1]: *** [srcdir] Error 2
make[1]: Leaving directory `/home/cfm/spad/axiom'
make: *** [all] Error 2
cfm@cfm-pclap ~/spad/axiom %

Not very informative to me.

It seems to have finished building gcl. Since there is a binary
for FC3, someone must have built it successfully.

Chuck Miller



--
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Subject: [Axiom-developer] [Guessing formulas for sequences] 
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Changes http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences/diff
--

??changed:
-  We present a software package that guesses formulas for sequences of rational
-  numbers, rational functions and also more complicated formulas, given the
-  first few terms. Thereby we extend and complement Christian Krattenthaler's
-  program 'Rate', Doron Zeilberger's program 'GuessRat' and the relevant parts
-  of Bruno Salvy and Paul Zimmermann's 'GFUN'.
-
-  Introduction
-
-    For some a brain-teaser, for others one step in proving their next theorem:
We present a software package that guesses formulas for sequences of rational
numbers, rational functions and also more complicated formulas, given the first
few terms. Thereby we extend and complement Christian Krattenthaler's program
\Rate, Doron Zeilberger's program 'GuessRat' and the relevant parts of Bruno
Salvy and Paul Zimmermann's 'GFUN'.

Introduction

  For some a brain-teaser, for others one step in proving their next theorem:

??changed:
-\begin{equation}
-\begin{split}
\begin{eqnarray}

??changed:
-\end{split}
-\end{equation}
\end{eqnarray}

??changed:
-
-    A formula for Sequence (1), is almost trivial to guess: it seems
-obvious that it is $n^2$. More generally, if we believe that the sequence in
-question is generated by a polynomial, we can simply apply interpolation.
-However, how can we "know" that a polynomial formula is appropriate? The answer
-is quite simple: we use all but the last term of the sequence to derive the
-formula. After this, the last term is compared with the value predicted by the
  
    A formula for Sequence (1), is almost trivial to guess: it seems obvious that
it is $n^2$. More generally, if we believe that the sequence in question is
generated by a polynomial, we can simply apply interpolation.  However, how
can we "know" that a polynomial formula is appropriate? The answer is quite
simple: we use all but the last term of the sequence to derive the formula.
After this, the last term is compared with the value predicted by the

++added:


??changed:
-paralleling interpolation, Pad\'e approximation may be used to find out whether
paralleling interpolation, Pade approximation may be used to find out whether

--removed:
-

++added:


??changed:
-able to guess a formula using interpolation, Pad\'e approximation or one of its
able to guess a formula using interpolation, Pade approximation or one of its

??changed:
-with the 'Axiom' package 'Guess'.
-
-The package provides currently four primitive guessing functions, namely:
with the 'Axiom' package 'Guess'. The package provides currently four primitive guessing functions, namely:

++added:


??changed:
-    term as in (5),
      term as in (5),


??changed:
-    constant coefficients, and
      constant coefficients, and


??changed:
-    polynomial coefficients.
      polynomial coefficients.

--removed:
-

??changed:
-have to use the package 'GuessPolynomial' instead of
-'GuessInteger'::
have to use the package 'GuessPolynomial' instead of 'GuessInteger'. 
For example::

??changed:
-the methods described above. For example, they fail for
-Sequences (3) and \eqref{eq4}. However, the functions
-demonstrated above all had an argument 'n+->n' we did not explain yet!
the methods described above. For example, they fail for Sequences (3) and (4).
However, the functions demonstrated above all had an argument 'n+->n' we did
not explain yet!

++added:

    Some remarks
    
      - All of the presented guessing algorithms are insensitive to the shift
        operator. I.e., if a formula for the sequence $(s_1,s_2,\dots,s_m)$ can be
        guessed, then the corresponding formula for $(s_2,s_3,\dots,s_{m+1})$ will
        be found, too.
        
        - Except of the class of functions covered by 'guessExpRat', all are
        closed under addition. I.e., if formulas for $(s_1,s_2,\dots,s_m)$ and
        $(t_1,t_2,\dots,t_m)$ can be guessed, then also for
        $(s_1+t_1,s_2+t_2,\dots,s_m+t_m)$. However, the class of functions of
        type (5) is not even closed under addition of a constant! On the other
        hand, all classes are closed under multiplication.
        
        - Note that the class of functions covered by 'guessPRec', i.e., the
        class of $D$-finite functions, is closed under the operator $\Delta_n$.
        Thus, it does not make to try to guess a function for some sequence $s$
        with::

          guess(n, s, n+->n, [guessPRec], [guessSum]).

        The situation is very different, if the operator 'guessProduct' is
        specified, too. The class of functions covered by::

          guess(n, s, n+->n, [guessPRec], [guessSum, guessProduct])

        is bigger than the class of functions::

          guess(n, s, n+->n, [guessPRec], [guessProduct])!

--
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Changes http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences/diff
--

??changed:
-        - Except of the class of functions covered by 'guessExpRat', all are
      - Except of the class of functions covered by 'guessExpRat', all are

??changed:
-        - Note that the class of functions covered by 'guessPRec', i.e., the
      - Note that the class of functions covered by 'guessPRec', i.e., the

--
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root writes:
> 
> Axiom has been moved to GCL-2.6.6

axiom--BSD--1--patch-11 has the working (Free)BSD build.

M
--
Mark Murray
iumop ap!sdn w,I idlaH





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Changes http://page.axiom-developer.org/zope/mathaction/HelpPage/diff
--

??changed:
-      &#42;...&#42; , 
-      &#42;&#42;...&#42;&#42; , 
-      &#95;...&#95; or 
-      &#39;...&#39; is *italic*, **bold**, _underlined_ or 'monospaced' respectively<br>
      '*italic*',
      '**bold**',
      '_underlined_' or
      ' 'monospaced' '
       is *italic*, **bold**, _underlined_ or 'monospaced' respectively<br>

--
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Changes http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences/diff
--

??changed:
-\Rate, Doron Zeilberger's program 'GuessRat' and the relevant parts of Bruno
'Rate', Doron Zeilberger's program 'GuessRat' and the relevant parts of Bruno

--removed:
-

??changed:
-  $f(n)-f(n-1)$, and
    $f(n)-f(n-1)$, and

??changed:
-    Guessing formulas for sequences of rational numbers
-
-      For example, if we suspect that a sequence of integers or rationals like
  Guessing formulas for sequences of rational numbers

    For example, if we suspect that a sequence of integers or rationals like

??changed:
-  guessPade(n, [1, 1, 2, 3, 5], n+->n)\$GuessInteger
      guessPade(n, [1, 1, 2, 3, 5], n+->n)\$GuessInteger

??changed:
-    Guessing formulas for sequences of rational functions
-
-      Most of the previous section still applies, the only change being that we now
  Guessing formulas for sequences of rational functions

    Most of the previous section still applies, the only change being that we now

??changed:
-  guess(n, [1, 1+q, 1+q+q^2, 1+q+q^2+q^3], n+->n, [guessRat], 
-        [guessSum, guessProduct])\$GuessPolynomial
      guess(n, [1, 1+q, 1+q+q^2, 1+q+q^2+q^3], n+->n, [guessRat], 
            [guessSum, guessProduct])\$GuessPolynomial

??changed:
-Sequence (4)::
Sequence (4) ::

??changed:
-    Some remarks
-    
-      - All of the presented guessing algorithms are insensitive to the shift
-        operator. I.e., if a formula for the sequence $(s_1,s_2,\dots,s_m)$ can be
-        guessed, then the corresponding formula for $(s_2,s_3,\dots,s_{m+1})$ will
-        be found, too.
-        
-      - Except of the class of functions covered by 'guessExpRat', all are
-        closed under addition. I.e., if formulas for $(s_1,s_2,\dots,s_m)$ and
-        $(t_1,t_2,\dots,t_m)$ can be guessed, then also for
-        $(s_1+t_1,s_2+t_2,\dots,s_m+t_m)$. However, the class of functions of
-        type (5) is not even closed under addition of a constant! On the other
-        hand, all classes are closed under multiplication.
-        
-      - Note that the class of functions covered by 'guessPRec', i.e., the
-        class of $D$-finite functions, is closed under the operator $\Delta_n$.
-        Thus, it does not make to try to guess a function for some sequence $s$
-        with::
-
-[9 more lines...]
  Some remarks
    
    - All of the presented guessing algorithms are insensitive to the shift
      operator. I.e., if a formula for the sequence $(s_1,s_2,\dots,s_m)$ can be
      guessed, then the corresponding formula for $(s_2,s_3,\dots,s_{m+1})$ will
      be found, too.
        
    - Except of the class of functions covered by 'guessExpRat', all are
      closed under addition. I.e., if formulas for $(s_1,s_2,\dots,s_m)$ and
      $(t_1,t_2,\dots,t_m)$ can be guessed, then also for
      $(s_1+t_1,s_2+t_2,\dots,s_m+t_m)$. However, the class of functions of
      type (5) is not even closed under addition of a constant! On the other
      hand, all classes are closed under multiplication.
        
    - Note that the class of functions covered by 'guessPRec', i.e., the
      class of $D$-finite functions, is closed under the operator $\Delta_n$.
      Thus, it does not make sense to try to guess a function for some 
      sequence $s$ with::

        guess(n, s, n+->n, [guessPRec], [guessSum]).

    - The situation is very different, if the operator 'guessProduct' is specified, too. The 
      class of functions covered by::

        guess(n, s, n+->n, [guessPRec], [guessSum, guessProduct])

    - is bigger than the class of functions covered by::

        guess(n, s, n+->n, [guessPRec], [guessProduct])!

--
forwarded from http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences#msg20050320095249-0600@page.axiom-developer.org



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excellent. i'll look at the merge issues. --t



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Changes http://page.axiom-developer.org/zope/mathaction/63BugsProblemsRaisingAUTSToANegativeIntegerPower/diff
--
Severity: normal => serious 

--
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Changes http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences/diff
--

??changed:
-We present a software package that guesses formulas for sequences of rational
Important Note

  There are two bugs in the version of Axiom currently run on this server that prevent 
parts of the package from working properly. One bug, #63, prevents 'guessPade' from 
working. Another bug, #8 messes up the output by missing some parenthesis. Preliminary 
patches for both are available, we hope that they will soon be fixed here, too.

Please add other bugs you find to IssueTracker by clicking on "issues" on the top
left of any page and filling out the appropriate forms.

Finally, please feel free to try this package in the SandBox!

Abstract

  We present a software package that guesses formulas for sequences of rational

??changed:
-with the 'Axiom' package 'Guess'. The package provides currently four primitive guessing functions, namely:
with the 'Axiom' package 'Guess'. To load the package we type
\begin{axiom}
)lib RINTERPA RINTERP PCDEN GUESS GUESSINT GUESSP
\end{axiom}
The package provides currently four primitive guessing functions, namely:

??changed:
-Sequence (2) satisfies a simple recurrence, we type::
-
-      guessPade(n, [1, 1, 2, 3, 5], n+->n)\$GuessInteger
-
-to obtain an answer like
-\begin{equation*}
- \left[
-{\left[ {function={coefficient 
-\left(
-{-{1 \over {{ x \sp 2}+ x -1}}, \: x, \: n} 
-\right)}},
-\: {order=1} 
-\right]}
-\right]
-\end{equation*}
Sequence (2) satisfies a simple recurrence, we type

\begin{axiom}
guessPade(n, [1, 1, 2, 3, 5], n+->n)$GuessInteger
\end{axiom}

??changed:
-  guessRat(n, [3, 4, 7/2, 18/5, 11/3, 26/7], n+->n)\$GuessInteger
-
-returns
-\begin{equation*}
-\left[
-{\left[ {function={{4n+2} \over {n+1}}}, \: {order=3} 
-\right]}
-\right].
-\end{equation*}
\begin{axiom}
guessRat(n, [3, 4, 7/2, 18/5, 11/3, 26/7], n+->n)$GuessInteger
\end{axiom}


??changed:
-the appropriate function is::
-
-  guess(n, [0, 1, 3, 9, 33], n+->n, [guessRat, guessPade], 
-        [guessSum, guessProduct, guessOne])\$GuessInteger
-
-and the output will be - apart from some information on the progress -
-\begin{equation*}
-\left[
-{\left[ {function={\sum \sb{\displaystyle {{s \sb {5}}=1}} \sp{\displaystyle 
-{n -1}} {\prod \sb{\displaystyle {{p \sb {4}}=1}} \sp{\displaystyle {{s \sb 
-{5}} -1}} {({p \sb {4}}+1)}}}}, \: {order=1} 
-\right]}
-\right].
-\end{equation*}
the appropriate function is

\begin{axiom}
guess(n, [0, 1, 3, 9, 33], n+->n, 2, [guessRat], 
        [guessSum, guessProduct, guessOne])$GuessInteger
\end{axiom}

??changed:
-For example::
-
-      guess(n, [1, 1+q, 1+q+q^2, 1+q+q^2+q^3], n+->n, [guessRat], 
-            [guessSum, guessProduct])\$GuessPolynomial
-
-returns
-\begin{equation*}
-\left[
-{\left[ {function={\sum \sb{\displaystyle {{s \sb {2}}=1}} 
-\sp{\displaystyle {n -1}} {q \ {q \sp {\left( {s \sb {2}} -1 
-\right)}}}+1}},
-\: {order=1} 
-\right]}
-\right].
-\end{equation*}
For example

\begin{axiom}
guess(n, [1, 1+q, 1+q+q^2, 1+q+q^2+q^3], n+->n, [guessRat], 
         [guessSum, guessProduct])$GuessPolynomial
\end{axiom}

??changed:
-'n+->q^n'. For example::
-
-  guessRat(n, [1,1+q+q^2,(1+q+q^2)*(1+q^2),
-               (1+q^2)*(1+q+q^2+q^3+q^4)], n+->q^n)\$GuessPolynomial
-
-returns
-\begin{equation*}
-\left[
-{\left[ {function={{{q \  {q \sp {\left( 2 \  n 
-\right)}}}+{{\left(
--q -1 
-\right)}
-\  {q \sp n}}+1} \over {{q \sp 3} -{q \sp 2} -q+1}}}, \: {order=1} 
-\right]}
-\right]  
-\end{equation*}
'n+->q^n'. For example

\begin{axiom}
guessRat(n, [1,1+q+q^2,(1+q+q^2)*(1+q^2),
               (1+q^2)*(1+q+q^2+q^3+q^4)], n+->q^n)$GuessPolynomial
\end{axiom}


??changed:
-Sequence (4) ::
-
-  guessPRec(n,[1, 1, 1+q, 1+q+q^2, 1+q+q^2+q^3+q^4, 
-             1+q+q^2+q^3+2*q^4+q^5+q^6,
-             1+q+q^2+q^3+2*q^4+2*q^5+2*q^6+q^7+q^8+q^9, 
-             (1+q^4+q^6)*(1+q+q^2+q^3+q^4+q^5+q^6),
-             (1+q^4)*(1+q+q^2+q^3+q^4+q^5+2*q^6+2*q^7
-             +2*q^8+2*q^9+q^10+q^11+q^12)], n+->q^n)\$GuessPolynomial
-
-yields
-\begin{equation*}
-  \left[
-{\left[ {function={rootof 
-\left(
-{{-{{ x 
-\left(
-{n} 
-\right)}
-\  {q \sp n}}+{ x 
-[11 more lines...]
Sequence (4)

\begin{axiom}
guessPRec(n,[1, 1, 1+q, 1+q+q^2, 1+q+q^2+q^3+q^4, 1+q+q^2+q^3+2*q^4+q^5+q^6, 1+q+q^2+q^3+2*q^4+2*q^5+2*q^6+q^7+q^8+q^9, 1+q+q^2+q^3+q^4+q^5+q^6, (1+q^4)*(1+q+q^2+q^3+q^4+q^5+2*q^6+2*q^7+2*q^8+2*q^9+q^10+q^11+q^12)], n+->q^n)$GuessPolynomial
\end{axiom}

--
forwarded from http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences#msg20050320120829-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#122 Handling of power series] With complex
	doesn't print expansion point (type)
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
<pre>
file:     msgdb.boot.pamphlet
function: brightPrint0

  x = '"%i" =>
    $MARG := $MARG + 3
------------------------
Each message may contain formatting codes and and parameter codes.
The formatting codes are:
   %b          turn on bright printing
   %ceoff      turn off centering
   %ceon       turn on centering
   %d          turn off bright printing
   %f          user defined printing
   %i          start indentation of 3 more spaces
   %l          start a new line
   %m          math-print an expression
   %rjoff      turn off right justification (actually ragged left)
   %rjon       turn on right justification (actually ragged left)
   %s          pretty-print as an S-expression
   %u          unindent 3 spaces
   %x#         insert # spaces


</pre>

--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050320140140-0600@page.axiom-developer.org



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	operator in expansion point, transform it to fortran in type
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

??changed:
-From unknown Sun Mar 20 14:01:40 -0600 2005
-From: 
-Date: Sun, 20 Mar 2005 14:01:40 -0600
-Subject: With complex doesn't print expansion point (type)
-Message-ID: <20050320140140-0600@page.axiom-developer.org>
-In-Reply-To: <20050313084443-0600@page.axiom-developer.org>
-
-<pre>
-file:     msgdb.boot.pamphlet
-function: brightPrint0
-
-  x = '"%i" =>
-    $MARG := $MARG + 3
-------------------------
-Each message may contain formatting codes and and parameter codes.
-The formatting codes are:
-   %b          turn on bright printing
-   %ceoff      turn off centering
-   %ceon       turn on centering
-[48 more lines...]


--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050320142908-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
<pre>
file:     msgdb.boot.pamphlet
function: brightPrint0

  x = '"%i" =>
    $MARG := $MARG + 3
------------------------
Each message may contain formatting codes and and parameter codes.
The formatting codes are:
   %b          turn on bright printing
   %ceoff      turn off centering
   %ceon       turn on centering
   %d          turn off bright printing
   %f          user defined printing
   %i          start indentation of 3 more spaces
   %l          start a new line
   %m          math-print an expression
   %rjoff      turn off right justification (actually ragged left)
   %rjon       turn on right justification (actually ragged left)
   %s          pretty-print as an S-expression
   %u          unindent 3 spaces
   %x#         insert # spaces


</pre>

--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050320143014-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
\begin{axiom}
series(sin(x))
series(sin(x),x=pi/2)
series(sin(x),x=%e)
series(sin(x),x=%e+3)
series(sin(x),x=%i+7
\end{axiom}
<pre>
file:                  format.boot.pamphlet
Infix Binary Operator: "=" "+" "-" "*" "/" "**" "^" (i-output.boot.pamphlet => function isBinaryInfix)
function:              form2String1 call fortexp0
 
   isBinaryInfix op => fortexp0 [op,:argl]

----------------------------------------
In fortPre1 (file:newfort.boot.pamphlet)

  fortPre1 e ==
    -- replace spad function names by Fortran equivalents
    -- where appropriate, replace integers by floats
    -- extract complex numbers
    -- replace powers of %e by calls to EXP
    -- replace x**2 by x*x etc.
    -- replace ROOT by either SQRT or **(1./ ... )
    -- replace N-ary by binary functions
    -- strip the '%' character off objects like %pi etc..
</pre>
--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050320142214-0600@page.axiom-developer.org



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	operator in expansion point,
	transform it to fortran (displayed type)
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
\begin{axiom}
series(sin(x),x=%pi/2)
series(sin(x),x=%e)
series(sin(x),x=%e+3)
series(sin(x),x=%i+7)
\end{axiom}
<pre>
file:                  format.boot.pamphlet
Infix Binary Operator: "=" "+" "-" "*" "/" "**" "^" (i-output.boot.pamphlet => function isBinaryInfix)
function:              form2String1 call fortexp0
 
   isBinaryInfix op => fortexp0 [op,:argl]

----------------------------------------
In fortPre1 (file:newfort.boot.pamphlet)

  fortPre1 e ==
    -- replace spad function names by Fortran equivalents
    -- where appropriate, replace integers by floats
    -- extract complex numbers
    -- replace powers of %e by calls to EXP
    -- replace x**2 by x*x etc.
    -- replace ROOT by either SQRT or **(1./ ... )
    -- replace N-ary by binary functions
    -- strip the '%' character off objects like %pi etc..
</pre> 
--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050320143353-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/Guess/diff
--
\begin{axiom}
)abbrev package GUESS Guess
++ Description:
++ This package implements guessing of sequences
Guess(F, S, EXPRR, R, retract, coerce): Exports == Implementation where
    F: Field                                 -- zB.: FRAC POLY PF 5
-- in F wird interpoliert und gerechnet 

    S: GcdDomain

-- in guessExpRat m�chte ich die Wurzeln von Polynomen �ber F bestimmen. Wenn F
-- ein Quotientenk�rper ist, dann kann ich den Nenner loswerden.
-- F w�re dann also QFCAT S

    R: Join(OrderedSet, IntegralDomain)      -- zB.: FRAC POLY INT

-- die Ergebnisse werden aber in EXPRR dargestellt
    EXPRR: Join(ExpressionSpace, IntegralDomain, 
                RetractableTo R, RetractableTo Symbol, 
                RetractableTo Integer, CombinatorialOpsCategory) with
              _* : (%,%) -> %
              _/ : (%,%) -> %
              _*_* : (%,%) -> %
              numerator : % -> %
              denominator : % -> %

                                             -- zB.: EXPR INT
-- EXPR FRAC POLY INT ist ja verboten. Deshalb kann ich nicht einfach EXPR R
-- verwenden
-- EXPRR existiert, falls irgendwann einmal EXPR PF 5 unterst�tzt wird.


-- das folgende m�chte ich eigentlich loswerden.
  
    retract: R -> F                          -- zB.: i+->i
    coerce: F -> EXPRR                       -- zB.: i+->i
-- Achtung EXPRR ~= EXPR R

    NNI ==> NonNegativeInteger
    PI ==> PositiveInteger
    EXPRI ==> Expression Integer
    GUESSRESULT ==> List Record(function: EXPRR, order: PI)
    GUESSER ==> (Symbol, List F, BASIS) -> GUESSRESULT
    BASIS ==> EXPRI -> EXPRR                 -- zB.: i+->q^i
-- brauche hier EXPRI, weil das Ergebnis ja die allgemeine Form enth�lt

    Exports == with
      guess: (Symbol, List F, BASIS, List GUESSER, List Symbol, NNI) -> GUESSRESULT

      guessRat: (Symbol, List F, BASIS) -> GUESSRESULT

      guessExpRat: (Symbol, List F, BASIS) -> GUESSRESULT

      guessPade: (Symbol, List F, BASIS) -> GUESSRESULT

      guessPRec: (Symbol, List F, BASIS) -> GUESSRESULT

    Implementation == add

      basis2: (BASIS, Integer) -> F
      basis2 (basis, i) == retract(retract(basis(i::EXPRI))@R)

      SUP ==> SparseUnivariatePolynomial
      SUPF ==> SUP F
      FSUPF ==> Fraction SUP F
      V ==> OrderedVariableList(['a1, 'A])
      POLYF ==> SparseMultivariatePolynomial(F, V)
      FPOLYF ==> Fraction POLYF
      FSUPFPOLYF ==> Fraction SUP FPOLYF
      POLYS ==> SparseMultivariatePolynomial(S, V)

      MPCSF ==> MPolyCatFunctions2(V, IndexedExponents V, 
                                      IndexedExponents V, S, F,
                                      POLYS, POLYF)
      MPCFS ==> MPolyCatFunctions2(V, IndexedExponents V, 
                                      IndexedExponents V, F, S,
                                      POLYF, POLYS)

      SUPF2EXPRR: (Symbol, SUP F) -> EXPRR
      SUPF2EXPRR(xx, p) ==
        zero? p => 0
        (coerce(leadingCoefficient p))::EXPRR * (xx::EXPRR)**degree p
           + SUPF2EXPRR(xx, reductum p)

      FSUPF2EXPRR: (Symbol, FSUPF) -> EXPRR
      FSUPF2EXPRR(xx, p) ==
        (SUPF2EXPRR(xx, numer p)) / (SUPF2EXPRR(xx, denom p))

      SUPS2SUPF: SUP S -> SUP F
      SUPS2SUPF p ==
        if F is S then 
          p pretend SUP(F)
        else if F is Fraction S then
          map(coerce(#1)$Fraction(S), p)
            $SparseUnivariatePolynomialFunctions2(S, F)
        else error "Type parameter F should be either equal to S or equal _
                    to Fraction S"

      POLYS2POLYF: POLYS -> POLYF
      POLYS2POLYF p ==
        if F is S then 
          p pretend POLYF
        else if F is Fraction S then
          map(coerce(#1)$Fraction(S), p)$MPCSF
        else error "Type parameter F should be either equal to S or equal _
                    to Fraction S"

      SUPFPOLYF2SUPF: (SUP FPOLYF, F, F) -> SUP F
      SUPFPOLYF2SUPF(p, a1v, Av) ==
        zero? p => 0
        lc: FPOLYF := leadingCoefficient(p)
        num: POLYF := eval(numer lc, [index(1)$V, index(2)$V]::List V, [a1v, Av])
        den: POLYF := eval(denom lc, [index(1)$V, index(2)$V]::List V, [a1v, Av])
        monomial(retract(num)/retract(den), degree p) 
          + SUPFPOLYF2SUPF(reductum p, a1v, Av)

      SUPPOLYF2SUPF: (SUP POLYF, F, F) -> SUP F
      SUPPOLYF2SUPF(p, a1v, Av) ==
        zero? p => 0
        lc: POLYF := leadingCoefficient(p)
        monomial(retract(eval(lc, [index(1)$V, index(2)$V]::List V, 
                                  [a1v, Av])),
                 degree p) 
          + SUPPOLYF2SUPF(reductum p, a1v, Av)

      SUPFPOLYF2FSUPPOLYF: (SUP FPOLYF) -> Fraction SUP POLYF
      SUPFPOLYF2FSUPPOLYF p ==
        cden := splitDenominator(p)
               $UnivariatePolynomialCommonDenominator(POLYF, FPOLYF,SUP FPOLYF)
        
        pnum: SUP POLYF 
             := map(retract(#1 * cden.den)$FPOLYF, p)
                   $SparseUnivariatePolynomialFunctions2(FPOLYF, POLYF)
        pden: SUP POLYF := (cden.den)::SUP POLYF

        pnum/pden


      POLYF2EXPRR: POLYF -> EXPRR
      POLYF2EXPRR p ==
        map(convert(#1)@Symbol::EXPRR, coerce(#1)@EXPRR, p)
           $PolynomialCategoryLifting(IndexedExponents V, V, 
                                      F, POLYF, EXPRR)

      checkResult: (EXPRR, Symbol, Integer, List F) -> PI
      checkResult (res, n, l, list) ==
        for i in l..1 by -1 repeat
          den := eval(denominator res, n::EXPRR, i::EXPRR)
          if den = 0 then return (i+1)::PI
          num := eval(numerator res, n::EXPRR, i::EXPRR)
          if list.i ~= retract(retract(num/den)@R)
          then return (i+1)::PI
        1

      PCD ==> PolynomialCommonDenominator(S, F, POLYF, IndexedExponents V, V)

      cden: POLYF -> POLYS
      cden p == 
        if F is S then 
          p pretend POLYS
        else if F is Fraction S then
          map(retract(#1)$Fraction(S), clearDenominator(p)$PCD)$MPCFS
        else error "Type parameter F should be either equal to S or equal _
                     to Fraction S"

-------------------------------------------------------------------------------
-- guessPade
-------------------------------------------------------------------------------

      UTSF ==> UnivariateTaylorSeries
      UP ==> UnivariatePolynomial

      list2poly: (List F, NNI) -> SUPF
      list2poly(list, order) ==
        if null(list) then 0
	else monomial(first(list), order)$SUPF + list2poly(rest(list), order+1)

      opcoeff := operator("coefficient"::Symbol)$CommonOperators

      guessPade(xx, list, basis) ==
-- basis is ignored currently

        x := new(x)$Symbol
        len := (#list-2)
	if len < 1 then return []
        c := 0$F
-- turn the list into a series
        s := coerce(unmakeSUP(list2poly(list, 0))::UP(x, F))$UTSF(F, x, c)

        res: List Fraction UP(x, F) := []

-- try pade for all possible degrees of numerator and denominator
        for i in 0..len repeat
          r := pade(i, (len-i)::NNI, s)$PadeApproximantPackage(F, x, c)

          if not (r case "failed") then
-- make r into a series
	    rs := coerce(numer(r))$UTSF(F, x, c) 
                  * (coerce(denom(r))$UTSF(F, x, c)**((-1)::Fraction Integer))
                    $UTSF(F, x, c)

-- test the last coefficient and collect, if ok
            if coefficient(rs, (len+1)::NNI)$UTSF(F, x, c) = last(list)
	       and not member?(r, res) then
              res := cons(r, res)
	    
        map([kernel(opcoeff, 
                    [FSUPF2EXPRR(x, makeSUP(numer #1)/makeSUP(denom #1)), 
                     x::EXPRR, xx::EXPRR]), 1], 
            res)$ListFunctions2(Fraction UP(x, F),
                                Record(function: EXPRR, order: PI))


-------------------------------------------------------------------------------
-- guessPRec
-------------------------------------------------------------------------------

      oprecur := operator("rootof"::Symbol)$CommonOperators

      guessPRec(xx, list, basis) ==
        len := #list
        a := new('x)$Symbol 
        op := operator a
        
        for o in 1..(len-3) quo 3 repeat
-- versuche verschiedene Ordnungen
          d := ((len-2*o-2) quo (o+1))

          if (d >= 0) and (len >= (o+1)*(d+2)) then 
            m: List List F := [reduce(append, [[basis2(basis, (k+1))**i*list.(j+k) 
                                                for i in 0..d]
                                               for j in 1..(o+1)])
                               for k in 0..(o+1)*(d+1)]

            resspace: List Vector F := nullSpace((matrix m)::Matrix F)

-- nimm nur das erste Ergebnis
-- wenn der Raum mehrdimensional ist, kann der Nullvector nicht vorkommen...
            if (#resspace > 1) or (any?(not zero?(#1), resspace.1)) then

              reslist:List List SUPF := [[monomial((resspace.1).(1+i+j*(d+1)), i) 
                                          for i in 0..d]
                                         for j in 0..o]

              res: List SUPF := [reduce(_+, reslist.j) for j in 1..(o+1)]

              ex: List EXPRR := [eval(SUPF2EXPRR(xx, res.j),
                                      kernel(xx),
                                      basis(xx::EXPRI))*
                                  op(xx::EXPRR+(j-1)::EXPRR)::EXPRR 
                                 for j in 1..(o+1)]

-- das Ergebnis sollte noch getestet werden, auch auf Redundanz!
 
              return [[kernel(oprecur, [reduce(_+, ex)]), 1]]
        []


-------------------------------------------------------------------------------
-- guessRat
-------------------------------------------------------------------------------
-- this function applies rationalInterpolation to the list of data points
-- [(list.i,basis.i) for i in 1..#list-1]. The last data point is used to test
-- for plausibility.

      guessRat(xx, list, basis) ==
        len := (#list-1)::PositiveInteger
        xlist := [basis2(basis, i) for i in 1..len]
        x:F := basis2(basis, len+1)
        ylist: List F := first(list, len)
        y:F := last(list)
        res: List FSUPF := []

        for i in 0..(len-1) repeat
          output(hconcat("degree Rat "::OutputForm, i::OutputForm))$OutputPackage
          ri := interpolate(xlist, ylist, (len-1-i)::NNI, i)
                           $RationalInterpolation(xx, F)
          de: F := elt(denom ri, x)
          if (de ~= 0) and (elt(numer ri, x) = y*de) _
             and not any?(ri = #1, res) then
            res := cons(ri, res)

        [[res1 := eval(FSUPF2EXPRR(xx, guess), kernel(xx), basis(xx::EXPRI)), _
          checkResult(res1, xx, len, list)] _
         for guess in res]

-------------------------------------------------------------------------------
-- guessExpRat
-------------------------------------------------------------------------------

      GF ==> GeneralizedMultivariateFactorize(SingletonAsOrderedSet,
                                              IndexedExponents V, F, F,
                                              SparseUnivariatePolynomial F)

      resl: (POLYS, POLYS, Integer, Integer, V) -> List S
      resl(p1, p2, o, d, A) == 
        [(resultant(univariate(eval(p1, A, k::S)),
                    univariate(eval(p2, A, k::S)))$SUP(S) exquo _
         ((k::S)**(o::NNI)))::S for k in 1..d]

      p: (Integer, Integer, V, V, BASIS) -> POLYF 
      p(len, i, a1, A, basis) == 
--     a0 + a1*basis2(basis, i)
-- setting A=a0+basis(len+3)*a1, hence a0=A-(len+3)*a1 makes poly3 a lot
-- smaller
        A::POLYF + a1::POLYF*(basis2(basis, i)-basis2(basis, len+3))

      p2: (Integer, Symbol, F, F, BASIS) -> EXPRR 
      p2(len, i, a1v, Av, basis) == 
--     a0 + a1*basis2(basis, i)
-- setting A=a0+basis(len+3)*a1, hence a0=A-(len+3)*a1 makes poly3 a lot smaller
        coerce(Av) + coerce(a1v)*(basis(i::EXPRI)
                                 -basis((len+3)::EXPRI))

      ord1: Integer -> Integer
      ord1 n == (3*n**4-4*n**3+3*n*n-2*n) quo 12

      ord2: (Integer, Integer) -> Integer
      ord2(n, i) == 
        if i=0 
        then ord1 n + ((n*n-n) quo 2)
        else ord1 n
         
      deg1: (Integer, Integer) -> Integer
      deg1(n, i) == (3*n**4+12*i*n**3+2*n**3+12*i*i*n*n-6*i*n*n+15*n*n
                    -24*i*i*n+6*i*n-8*n+12*i*i-12*i-12) quo 12

      deg2: (Integer, Integer) -> Integer
      deg2(n,i) == deg1(n,i) + (n**2+2*i*n+n-2*i+2) quo 2

-------------------------------------------------------------------------------

      guessExpRatAux: (Symbol, List F, BASIS, List Integer) -> List EXPRR
      guessExpRatAux(xx, list, basis, xValues) ==
        a1: V := index(1)$V
        A: V := index(2)$V

        len:NNI := (#list-3)::NNI
        if len < 1 then return []
        xlist := [basis2(basis, xValues.i)::POLYF::FPOLYF for i in 1..len]
        x1 := basis2(basis, xValues.(len+1))::POLYF::FPOLYF
        x2 := basis2(basis, xValues.(len+2))::POLYF::FPOLYF
        x3 := basis2(basis, xValues.(len+3))::POLYF::FPOLYF

        y: NNI -> FPOLYF := 
          (list.#1)::F::POLYF::FPOLYF * p(len, (xValues.#1)::Integer, a1, A, basis)::FPOLYF**(-(xValues.#1)::Integer)

        ylist: List FPOLYF := [y i for i in 1..len]

        y1 := y(len+1)
        y2 := y(len+2)
        y3 := y(len+3)

        res := []::List EXPRR
        for i in 0..len-1 repeat
          output(hconcat("degree ExpRat "::OutputForm, i::OutputForm))$OutputPackage
          ri: FSUPFPOLYF
             := interpolate(xlist, ylist, (len-1-i)::NNI, i)
                           $RationalInterpolation(xx, FPOLYF)

          poly1:POLYS := cden(numer(elt(ri, x1)$SUP(FPOLYF) - y1)$FPOLYF)
          poly2:POLYS := cden(numer(elt(ri, x2)$SUP(FPOLYF) - y2)$FPOLYF)
          poly3:POLYS := cden(numer(elt(ri, x3)$SUP(FPOLYF) - y3)$FPOLYF)

          n:Integer := len - i + 1
          if n > 5 then
            output("interpolating"::OutputForm)$OutputPackage
            o1:Integer := ord1(n)
            d1:Integer := deg1(n, i)
            o2:Integer := ord2(n, i)
            d2:Integer := deg2(n, i)

-- RINTERP seems to be a lot faster than PINTERP
-- another compiler bug: using i as iterator here makes the loop break

            res1: SUP S
                 := retract(interpolate([j::S for j in 1..d1-o1+1], 
                                        resl(poly1, poly3, o1, d1-o1+1, A), 
                                        (d1-o1)::NNI, 0)
                                       $RationalInterpolation(xx, S)
                            ::Fraction(SUP(S)))$Fraction(SUP(S))

            res2: SUP S
                 := retract(interpolate([j::S for j in 1..d2-o2+1], 
                                        resl(poly2, poly3, o2, d2-o2+1, A), 
                                        (d2-o2)::NNI, 0)
                                       $RationalInterpolation(xx, S)
                            ::Fraction(SUP(S)))$Fraction(SUP(S))
          else
            output("resultants"::OutputForm)$OutputPackage
            res1: SUP S := univariate(resultant(poly1, poly3, a1))
            res2: SUP S := univariate(resultant(poly2, poly3, a1))

-- we want to solve over F            
          res3: SUP F := SUPS2SUPF(primitivePart(gcd(res1, res2)))

-- res3 ist ein Polynom in A=a0+(len+3)*a1
-- jetzt muss ich das loesen

          res4 := factor(res3)$GF
          for f in factors res4 repeat
            if degree f.factor = 1 then
-- we are only interested in the linear factors
              Av: F := -coefficient(f.factor, 0)/leadingCoefficient f.factor
              if Av ~= 0 then
                res5 := factor(univariate(eval(POLYS2POLYF poly3, A, Av)))$GF
                for g in factors res5 repeat
                  if degree g.factor = 1 then
                    a1v: F := -coefficient(g.factor, 0)
                              /leadingCoefficient g.factor

                    t1:= eval(POLYS2POLYF poly1, [a1, A]::List V, 
                                                 [a1v, Av]::List F)
                    if t1 = 0 then  
                      t2:= eval(POLYS2POLYF poly2, [a1, A]::List V, 
                                                   [a1v, Av]::List F)
                      if t2 = 0 then

                        ri1: Fraction SUP POLYF 
                            := SUPFPOLYF2FSUPPOLYF(numer ri)
                             / SUPFPOLYF2FSUPPOLYF(denom ri)

                        num: SUP F := SUPPOLYF2SUPF(numer ri1, a1v, Av)
                        den: SUP F := SUPPOLYF2SUPF(denom ri1, a1v, Av)

                        if den ~= 0 then
                          res7: EXPRR := eval(FSUPF2EXPRR(xx, num/den),
                                              kernel(xx), 
                                              basis(xx::EXPRI))
                                        *p2(len, xx, a1v, Av, basis)**xx::EXPRR
                          res := cons(res7, res)
                        else if num = 0 then
                          output("numerator and denominator vanish!")
                                $OutputPackage
  
          if not null(res) then return res

        res

      guessExpRat(xx, list, basis) ==
-- guesses Functions of the Form (a1*n+a0)^n*rat(n)

-- remove zeros from list

        zeros: EXPRR := 1
        newlist: List F
        xValues: List Integer
        i: Integer

        i := 0
        for x in list repeat
          i := i+1
          if x = 0 then zeros := zeros * (basis(xx::EXPRI) - basis(i::EXPRI))

        i := 0
        for x in list repeat
          i := i+1
          if x ~= 0 then
            newlist := cons(x/retract(retract(eval(zeros, xx::EXPRR, 
                                                          i::EXPRR))@R),
                            newlist)
            xValues := cons(i, xValues)

        newlist := reverse newlist
        xValues := reverse xValues
        len := i

        res: List EXPRR 
            := [zeros * f for f in guessExpRatAux(xx, newlist, basis, xValues)]
        
        map([#1, checkResult(#1, xx, len, list)], res)
           $ListFunctions2(EXPRR,
                           Record(function: EXPRR, order: PI))


-------------------------------------------------------------------------------
-- guess
-------------------------------------------------------------------------------

      guess(xx, list, basis, guessers, ops, maxlevel) ==
        output(hconcat("guessing level "::OutputForm, maxlevel::OutputForm))
             $OutputPackage
        res: List Record(function: EXPRR, order: PI) := []
        len:= #list :: PositiveInteger
        if len > 1 then

          res := []
          for guesser in guessers repeat
            res := append(guesser(xx, list, basis), res)

            if member?('guessOne, ops) and not null(res) then return res

          if (maxlevel <= 0) then return res

          if member?('guessProduct, ops) and not member?(0$F, list) then
            prodList: List F := [(list.(i+1))/(list.i) for i in 1..(len-1)]

            if not every?(one?, prodList) then
              var: Symbol := subscript('p, [len::OutputForm])
              prodGuess := 
                  [[coerce(list.(guess.order)) 
                    * product(guess.function, _
                              equation(var, _
                                       (guess.order)::EXPRR..xx::EXPRR-1)), _
                    guess.order] _
                   for guess in guess(var, prodList, basis, guessers, 
                                      ops, (maxlevel-1)::NNI)$%]

              for guess in prodGuess 
                  | not any?(guess.function = #1.function, res) repeat
                res := cons(guess, res)

          if member?('guessSum, ops) then
            sumList: List F := [(list.(i+1))-(list.i) for i in 1..(len-1)]
  
            if not every?(#1=sumList.1, sumList) then
              var: Symbol := subscript('s, [maxlevel::OutputForm])
              sumGuess := 
                  [[coerce(list.(guess.order)) _
                    + summation(guess.function, _
                                equation(var, _
                                         (guess.order)::EXPRR..xx::EXPRR-1)), _
                    guess.order] _
                   for guess in guess(var, sumList, basis, guessers, 
                                      ops, (maxlevel-1)::NNI)$%]

              for guess in sumGuess 
                  | not any?(guess.function = #1.function, res) repeat
                res := cons(guess, res)
  
        res

)abbrev package GUESSINT GuessInteger
++ Description:
++ This package exports guessing of sequences of rational numbers
GuessInteger() == Guess(Fraction Integer, Integer, Expression Integer, 
                        Fraction Integer,
                        id$MappingPackage1(Fraction Integer), 
                        coerce$Expression(Integer))

)abbrev package GUESSP GuessPolynomial
++ Description:
++ This package exports guessing of sequences of rational functions
GuessPolynomial() == Guess(Fraction Polynomial Integer, Polynomial Integer, 
                           Expression Integer, 
                           Fraction Polynomial Integer,
                           id$MappingPackage1(Fraction Polynomial Integer), 
                           coerce$Expression(Integer))
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/Guess#msg20050320204302-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/CommonMistakes/diff
--
1 Omitting the {axiom} enviroment

  You have to use !\begin{axiom} ... \end{axiom}
  or !\begin{reduce} ... \end{reduce} before and after the command
  like this::

    !\begin{reduce}
    int(1/(a+z^3), z);
    \end{reduce}

2 Axiom commands do not end with ;

  Oh yes, note that for Axiom you don't end the command with ; and
  the command for integration in Axiom is 'integrate'.
  \begin{axiom}
  integrate(1/(a+z^3), z)
  \end{axiom}

2 Reduce commands must end with a semicolon ;

  But it must be there for Reduce.
  \begin{reduce}
  r^2+r+1;
  \end{reduce}

3 In Axiom 'ln' is written 'log'

  This won't work::

    !\begin{axiom}integrate((x^2+2*x*ln(x)+5)/(sin(x^2+x^3-x^4)^2), x)\end{axiom}

  Put the !\begin{axiom} and \end{axiom} on separate lines and
  notice that in Axiom 'ln' is written 'log'
  \begin{axiom}
  integrate((x^2+2*x*log(x)+5)/(sin(x^2+x^3-x^4)^2), x)
  \end{axiom}


4 Don't put a \\ in front of the axiom command

  This is wrong::

    !\begin{axiom}
    \sqrt{49/100}
    \end{axiom}

  Begin each comment with an explanation. Don't put \\ in front of the Axiom command.

  Do it like this::

    Some explanation
    !\begin{axiom}
    sqrt{49/100}
    \end{axiom}

  Some explanation
  \begin{axiom}
  sqrt{49/100}
  \end{axiom}


5 No \$ before and after

  This is wrong::

    !\begin{axiom}
    \$ \\sqrt{49/100} \$
    \end{axiom}

  Don't put \$ before and after \$ and there is no \\ in front.

  Just do it like this::

    !\begin{axiom}
    sqrt{49/100}
    \end{axiom}

  and what you will see is this:
  \begin{axiom}
  sqrt{49/100}
  \end{axiom}

6 Axiom sometimes interprets commands in unexpected ways

  This command appears to work
  \begin{axiom}
  integrate(x^5 ln[x],x)
  \end{axiom}

  But notice that
  \begin{axiom}
  5 ln[x]
  \end{axiom}

  is something strange. Oddly perhaps, Axiom interprets '5' as a
  UnivariatePolynomial and 'ln![x]' as a subscripted Symbol and the
  result is a univariate polynomial in the variable 'ln![x]'.

  So perhaps what you meant to write was:
  \begin{axiom}
  integrate(x^5*log(x),x)
  \end{axiom}

7 Use braces not parenthesis after 'begin' and 'end'

  The command::

    \begin(axiom)
    integrate(sin(x))
    \end(axiom)

  wont work.

  Use "braces" like this { } not parenthesis ( ) around {axiom}.

  Finally, unless the expression is a univariate polynomial, then you must also
  specify the variable with which to integrate.
  \begin{axiom}
  integrate(sin(x),x)
  \end{axiom}

8 Use parenthesis not braces in Axiom commands

  This command::

    !\begin{axiom}
    solve{xy=1,x}
    \end{axiom}

  uses {} after the solve operation. This is syntactically correct but
  it probably doesn't do what you might expect.
  \begin{axiom}
  solve{xy=1,x}
  \end{axiom}

  In Axiom {...,...} is executed as a block of commands which
  returns the result of the last command in the sequence. Compare
  \begin{axiom}
  a:={xy=1,x}
  \end{axiom}
  which is just 'x' to
  \begin{axiom}
  b:=(xy=1,x)
  \end{axiom}
  solve normally operates on such a *tuple* and
  \begin{axiom}
  c:=[xy=1,x]
  \end{axiom}
  which is a list and finally
  \begin{axiom}
  c:=set [xy=1,x]
  \end{axiom}
  which is how to construct a set.

  Also notice that multiplication must be written using *
  \begin{axiom}
  solve(x*y=1,x)
  \end{axiom}

9 Use %minusInfinity and %plusInfinity

  I'd like to see if Axiom can do my favorite definite integral::

    !\begin{axiom}
    integrate(x^4/(sinh(x))^2,x,-inf,inf)
    \end{axiom}

  In Axiom use %minusInfinity and %plusInfinity instead of -inf and inf.
  \begin{axiom}
  integrate(x^4/(sinh(x))^2,x=%minusInfinity..%plusInfinity)
  \end{axiom}

10 Numeric conversions

   The results of calculations depend on the type of the inputs

   \begin{axiom}
   asin(1/2)
   asin(.5)
   \end{axiom}

   You can tell Axiom that you would like the result expressed
   as a floating point number (if possible) using @. For example:
   \begin{axiom}
   asin(1/2)@Float
   \end{axiom}

--
forwarded from http://page.axiom-developer.org/zope/mathaction/CommonMistakes#msg20050320212537-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/127BuildingAxiomFromSourceFailsOnMyFedoraCore3/diff
--

--removed:
-

--
forwarded from http://page.axiom-developer.org/zope/mathaction/127BuildingAxiomFromSourceFailsOnMyFedoraCore3#msg20050320213626-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/127BuildingAxiomFromSourceFailsOnMyFedoraCore3/diff
--
Chuck,

There is a variable in the Makefile.fedora3 called GCLOPTS. It should read:

GCLOPTS="--enable-vssize=65536*2 --enable-locbfd --disable-dynsysbfd \
         --disable-statsysbfd --enable-maxpage=128*1024"

Please check this and let me know the result.

Tim Daly <daly@axiom-developer.org>
--
forwarded from http://page.axiom-developer.org/zope/mathaction/127BuildingAxiomFromSourceFailsOnMyFedoraCore3#msg20050320214255-0600@page.axiom-developer.org



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Summary: cleanups, documentation
Keywords: daly NUMTHEORY

20050320 tpd --patch-32
20050320 tpd Makefile revert VERSION to 3.4
20050320 tpd src/input/Makefile add ALGEBRA variable for documentation tests
20050320 tpd src/algebra/numtheory.spad build test case for INTHEORY
20050320 tpd src/algebra/Makefile add test case for INTHEORY
20050320 tpd src/Makefile make int/input directory during algebra step
20050320 tpd src/algebra/numtheory.spad document INTHEORY/chineseRemainder
20050320 tpd src/algebra/numtheory.spad document INTHEORY/inverse
20050318 tpd lsp/gcl-2.6.6/cmpnew/gcl_cmpflet.lsp redo tail-recursive patch
20050318 tpd src/lib/cfuns-c.c in make_path_from_file, initialize pos
20050318 tpd src/lib/wct.c coerce pwct->fsize to int in skim1Wct
20050318 tpd src/lib/sockio-c.c initialize code to -1
20050318 tpd src/lib/pixmap.c remove attr, xireturn unused variables
20050318 tpd Makefile latex fixes
20050318 tpd Makefile add <<GCLOPTS-LOCBFD>>
20050318 tpd src/hyper/Makefile Issue #125 htadd bare fixed



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Frederic,

You may also be interested in another open source project I'm leading
called Doyen. This web page attempts to explain the idea:

http://daly.axiom-developer.org/doyen

Tim



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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolationAlgorithms/diff
--
wyscc wrote:

>Comments: Packages compiled on MathAction seem to be local to the page. Dependent packages therefore need to be on the same page to load the packages in correct sequence.
>  
>
No, packages on MathAction are not local to a page. There is a single 
global directory to which the SPAD code is compiled. To load previously 
compiled packages (e.g. XYZ) use the Axiom command::

  )library XYZ

See Martin's example in SandBox.

--
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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolationAlgorithms/diff
--
Thanks for the reminder to use )library. I thought the "local" nature might be reasonable just in case someone else creates a NRLIB with the same name and overwrites an old library (this is probably the case when one edits a page with compiler code). If memory serves, I tried adding an <code>import RIA</code> statement and the package <code>RationalInterpolation</code> still did not compile on the stand-alone page. Now that it does, we can delete the second package and examples from this page and just add a link.

William
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forwarded from http://page.axiom-developer.org/zope/mathaction/RationalInterpolationAlgorithms#msg20050321002840-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolation/diff
--

++added:

It requires the following previously compiled package:
\begin{axiom}
)lib RINTERPA
\end{axiom}


++added:

Example (added by wyscc):

\begin{axiom}
f(x)== (x^3+5*x-3)/(x^2-3)
f(x)
xlist:List FRAC INT :=[1/2, 4, 1/6, 8, 1/10, 12]
ylist :=[f(x) for x in xlist]
\end{axiom}

A harder example:

\begin{axiom}
dom:=DMP([z],INT);
g:FRAC dom -> FRAC dom
g(x) == (x^3*z+5*z^2*x -3*z^3)/(z*x^2 - 3)
xxlist:List FRAC dom:=[1/(2*z), 4*z, 1/(6*z), 8*z, 1/(10*z), 12*z]
yylist:=[g(x) for x in xxlist]
--RationalInterpolation(xxlist, yylist, 3::NNI, 2::NNI)$RINTERPA(FRAC dom, UP(x, FRAC dom))
\end{axiom}

\begin{axiom}
interpolate(xlist, ylist, 3, 2)$RINTERP('x, FRAC INT)
interpolate(1/6::FRAC UP(x,FRAC INT), xlist, ylist, 3,2)$RINTERP('x,FRAC INT)
interpolate(xxlist, yylist, 3, 2)$RINTERP('x, FRAC dom)
interpolate(4*z::FRAC UP(x,dom), xxlist, yylist, 3, 2)$RINTERP('x, FRAC dom)
\end{axiom}

Question: If <code>p(xx) = interpolate(lx, ly, m, k)</code>, what is the purpose of
<code>elt(px, qx) = p(qx)</code>, the composition of <code>p(xx)</code> and <code>qx</code>, especially when <code>qx</code> is from <code>FRAC UP(xx, F)</code> instead of from just <code>F</code>? and why is this function (the composition) also called <code>interpolate</code>?


--
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Subject: [Axiom-developer] Axiom Conference
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Reminder: There will be an Axiom Conference on April 22 in New York City.

Details and a registration form (registration is free) are at:

http://www.caissny.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Reminder: There will be an Axiom Conference on April 22 in New York City.

Details and a registration form (registration is free) are at:

http://www.caissny.org


_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail

--
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To: Pierre Doucy <pierre.doucy@gmail.com>
Subject: Call for help with MACOSX Re: [Axiom-developer] [MACOSX] What is
	unexec and why does it fail ?
References: <ffec9e5c0503170717e87f3c5@mail.gmail.com>
From: Camm Maguire <camm@enhanced.com>
Date: 21 Mar 2005 08:25:26 -0500
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Greetings!

This is an official call for help from someone familiar with the Mac
and in particular with its mach-o binary file format.  We have an in
general very high quality custom port of the gcl object relocation and
image writing code to this platform graciously contributed by
Aurelien, but it appears that he is no longer reachable, and there are
large image issues with his code in acl2 as well.  I have access to a
Mac account and can ascend the learning curve here if necessary -- it
would simply be much more efficient if someone with the requisite
knowledge already in hand would step forward.

Take care,

Pierre Doucy <pierre.doucy@gmail.com> writes:

> Hi all,
> 
> Attempting to compile Axiom on my Mac, I get the following error :
> 
> [...]
> 44 invoking make in
> /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/src/boot
> with parms:
> SYS= MACOSX
> LSP= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/lsp
> PART= cprogs
> SPAD= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/mnt/MACOSX
> SRC= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/src
> INT= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/int
> OBJ= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/obj
> MNT= /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/mnt
> unexec: not enough room for load commands for new __DATA segments
> make[3]: *** [/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/obj/MACOSX/bin/bootsys]
> Error 1
> make[2]: *** [bootdir] Error 2
> make[1]: *** [srcdir] Error 2
> make: *** [all] Error 2
> 
> As it looked like a memory problem, I changed my gcl configure options to:
> 
> ./configure --enable-vssize=65536*4 --enable-maxpage=256*1024
> --enable-machine=powerpc-macosx --enable-dlopen --disable-locbfd
> 
> but still get the same error.
> After some googling, I haven't been able to find any clear doc about
> what unexec is, and what it does.
> Can anyone explain me what it is supposed to do, and why it might fail
> in such a manner ?
> 
> Thank you in advance.
> 
> Pierre DOUCY
> -- 
> Cats are intended to teach us that not everything in nature has a function.
> 
> 
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Date: Mon, 21 Mar 2005 09:20:49 -0500
From: Balbir Thomas <thomasb@math.ohio-state.edu>
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Subject: [Axiom-developer] build failure on Debian/Woody
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Hi,
Both the current cvs sources (Feb 1, release)
and 20050201 debian package fail to build
on Woody with the same error message given
below .

make[4]: *** No rule to make target
`/home/bt/archive/axiom/int/algebra/ABELGRP.o', needed by `src'.  Stop.
make[4]: Leaving directory `/home/bt/archive/axiom/src/algebra'
make[3]: *** [algebradir] Error 2
make[3]: Leaving directory `/home/bt/archive/axiom/src'
make[2]: *** [srcdir] Error 2
make[2]: Leaving directory `/home/bt/archive/axiom'
make[1]: *** [all] Error 2
make[1]: Leaving directory `/home/bt/archive/axiom'
make: *** [build-stamp] Error 2

Any suggestions ?

PS: I posted this message before after trying to build
the feb release. This weekend I tried to compile the
new debian package with the same result.

sincerely
b thomas




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Changes http://page.axiom-developer.org/zope/mathaction/Guess/diff
--

++added:
This package requires:
\begin{axiom}
)lib RINTERPA RINTERP PCDEN
\end{axiom}


??changed:
-        output(hconcat("guessing level "::OutputForm, maxlevel::OutputForm))
        output(hconcat("New guessing level "::OutputForm, maxlevel::OutputForm))

??changed:
-
\end{axiom}

\begin{axiom}

??changed:
-
\end{axiom}

\begin{axiom}

--
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Changes http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences/diff
--

??changed:
-guess(n, [0, 1, 3, 9, 33], n+->n, 2, [guessRat], 
-        [guessSum, guessProduct, guessOne])$GuessInteger
guess(n, [0, 1, 3, 9, 33], n+->n, [guessRat], 
        [guessSum, guessProduct, guessOne], 2)$GuessInteger

??changed:
-Thus, 'guess' takes five parameters. The first three parallel the parameters in
Thus, 'guess' takes six parameters. The first three parallel the parameters in

??changed:
-         [guessSum, guessProduct])$GuessPolynomial
         [guessSum, guessProduct], 2)$GuessPolynomial

??changed:
-guessPRec(n,[1, 1, 1+q, 1+q+q^2, 1+q+q^2+q^3+q^4, 1+q+q^2+q^3+2*q^4+q^5+q^6, 1+q+q^2+q^3+2*q^4+2*q^5+2*q^6+q^7+q^8+q^9, 1+q+q^2+q^3+q^4+q^5+q^6, (1+q^4)*(1+q+q^2+q^3+q^4+q^5+2*q^6+2*q^7+2*q^8+2*q^9+q^10+q^11+q^12)], n+->q^n)$GuessPolynomial
l1:=[1,1,1+q,1+q+q^2,1+q+q^2+q^3+q^4,1+q+q^2+q^3+2*q^4+q^5+q^6]
l2:=[1+q+q^2+q^3+2*q^4+2*q^5+2*q^6+q^7+q^8+q^9]
l3:=[(1+q^4+q^6)*(1+q+q^2+q^3+q^4+q^5+q^6)]
l4:=[(1+q^4)*(1+q+q^2+q^3+q^4+q^5+2*q^6+2*q^7+2*q^8+2*q^9+q^10+q^11+q^12)]
l:=append(append(append(l1,l2),l3),l4)
guessPRec(n, l1, n+->q^n)$GuessPolynomial

++added:


--
forwarded from http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences#msg20050321105455-0600@page.axiom-developer.org



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Hi Camm and all,

Sorry for seeming unreachable ! Having no access to
the Internet at home for the time being, I find it
quite difficult to contribute efficiently to gcl. All
I was able to do recently was spend one full week
feedling with gdb, tracing the route of segfaults from
the kernel all the way to the debugger, trying to sort
out why gdb doesn't handle segfault on MacOSX the way
it does on Linux.

Some remarks concerning Pierre's output :

- There's a README.macosx file enrolled in the CVS
repository
(http://savannah.gnu.org/cgi-bin/viewcvs/gcl/gcl/README.macosx).
Camm, could you please change the CVS option for this
file so as to make it appear in CVS head ? If you want
to learn more about unexec, try looking for Andrew
Choi's work for Emacs.

- The error you're running into ("not enough room for
load commands for new __DATA segments") is due to your
configure options. As a general rule, I highly
recommend using --enable-locbfd and --disable-dlopen.
I don't even know if the dlopen option is available on
MacOSX.

--- Camm Maguire <camm@enhanced.com> wrote:
> Greetings!
> 
> This is an official call for help from someone
> familiar with the Mac
> and in particular with its mach-o binary file
> format.  We have an in
> general very high quality custom port of the gcl
> object relocation and
> image writing code to this platform graciously
> contributed by
> Aurelien, but it appears that he is no longer
> reachable, and there are
> large image issues with his code in acl2 as well.  I
> have access to a
> Mac account and can ascend the learning curve here
> if necessary -- it
> would simply be much more efficient if someone with
> the requisite
> knowledge already in hand would step forward.
> 
> Take care,
> 
> Pierre Doucy <pierre.doucy@gmail.com> writes:
> 
> > Hi all,
> > 
> > Attempting to compile Axiom on my Mac, I get the
> following error :
> > 
> > [...]
> > 44 invoking make in
> >
>
/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/src/boot
> > with parms:
> > SYS= MACOSX
> > LSP=
>
/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/lsp
> > PART= cprogs
> > SPAD=
>
/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/mnt/MACOSX
> > SRC=
>
/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/src
> > INT=
>
/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/int
> > OBJ=
>
/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/obj
> > MNT=
>
/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/mnt
> > unexec: not enough room for load commands for new
> __DATA segments
> > make[3]: ***
>
[/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/obj/MACOSX/bin/bootsys]
> > Error 1
> > make[2]: *** [bootdir] Error 2
> > make[1]: *** [srcdir] Error 2
> > make: *** [all] Error 2
> > 
> > As it looked like a memory problem, I changed my
> gcl configure options to:
> > 
> > ./configure --enable-vssize=65536*4
> --enable-maxpage=256*1024
> > --enable-machine=powerpc-macosx --enable-dlopen
> --disable-locbfd
> > 
> > but still get the same error.
> > After some googling, I haven't been able to find
> any clear doc about
> > what unexec is, and what it does.
> > Can anyone explain me what it is supposed to do,
> and why it might fail
> > in such a manner ?
> > 
> > Thank you in advance.
> > 
> > Pierre DOUCY
> > -- 
> > Cats are intended to teach us that not everything
> in nature has a function.
> > 
> > 
> > _______________________________________________
> > Axiom-developer mailing list
> > Axiom-developer@nongnu.org
> >
>
http://lists.nongnu.org/mailman/listinfo/axiom-developer
> > 
> > 
> > 
> 
> -- 
> Camm Maguire			     			camm@enhanced.com
>
==========================================================================
> "The earth is but one country, and mankind its
> citizens."  --  Baha'u'llah



	
	
		
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Changes http://page.axiom-developer.org/zope/mathaction/128ErrorDisplayingACertainNestedList/diff
--
As you can see, the following messes up MathActions display. The error goes away if we

  - set algebra display on and tex display of, or

  - display only the first element of the list

\begin{axiom}
)lib RINTERPA RINTERP PCDEN GUESS GUESSP
l := [1, 1, 1+q, 1+q+q^2, 1+q+q^2+q^3+q^4, 1+q+q^2+q^3+2*q^4+q^5+q^6, 1+q+q^2+q^3+2*q^4+2*q^5+2*q^6+q^7+q^8+q^9, (1+q^4+q^6)*(1+q+q^2+q^3+q^4+q^5+q^6), (1+q^4)*(1+q+q^2+q^3+q^4+q^5+2*q^6+2*q^7+2*q^8+2*q^9+q^10+q^11+q^12)]
guessPRec(n,l,i+->q^i)$GUESSP
\end{axiom}

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Changes http://page.axiom-developer.org/zope/mathaction/128ErrorDisplayingACertainNestedList/diff
--

??changed:
-l := [1, 1, 1+q, 1+q+q^2, 1+q+q^2+q^3+q^4, 1+q+q^2+q^3+2*q^4+q^5+q^6, 1+q+q^2+q^3+2*q^4+2*q^5+2*q^6+q^7+q^8+q^9, (1+q^4+q^6)*(1+q+q^2+q^3+q^4+q^5+q^6), (1+q^4)*(1+q+q^2+q^3+q^4+q^5+2*q^6+2*q^7+2*q^8+2*q^9+q^10+q^11+q^12)]
l := [1, 1, 1+q, 1+q+q^2, 1+q+q^2+q^3+q^4, 1+q+q^2+q^3+2*q^4+q^5+q^6, 1+q+q^2+q^3+2*q^4+2*q^5+2*q^6+q^7+q^8+q^9, (1+q^4+q^6)*(1+q+q^2+q^3+q^4+q^5+q^6), (1+q^4)*(1+q+q^2+q^3+q^4+q^5+2*q^6+2*q^7+2*q^8+2*q^9+q^10+q^11+q^12)];

--removed:
-

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Changes http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences/diff
--

??changed:
-working. Another bug, #8 messes up the output by missing some parenthesis. Preliminary 
working. Another bug, #8 messes up the output by missing some parenthesis. Preliminary

??changed:
-Finally, please feel free to try this package in the SandBox!
Finally, please feel free to try this package in the SandBox! If you would like to use
this program at your own computer, you need the source of

  - RINTERPA and RINTERP from [Rational Interpolation]

  - PCDEN from [CommonDenominator for polynomials]

  - GUESS, GUESSINT and GUESSP from [Guess]

If you find the package useful, please let me know!

++added:

Unfortunately, on MathAction this does not work yet, so we need to use 'guessPRec' instead:

\begin{axiom}
guessPRec(n, [1, 1, 2, 3, 5, 8, 13, 21, 34], n+->n)$GuessInteger
\end{axiom}

++added:
)set output algebra on

++added:
)set output algebra off

??changed:
-fitting function has been found.
fitting function has been found. Finally, the last parameter is a nonnegative 
integer that specifies how many levels of recursion will be tried. I.e., if the
last parameter is zero, no operator will be applied, if it is one, the package 
applies one, and so on. In the example above, the sequence is first differenced,
then successive quotients are formed.

??changed:
-l1:=[1,1,1+q,1+q+q^2,1+q+q^2+q^3+q^4,1+q+q^2+q^3+2*q^4+q^5+q^6]
-l2:=[1+q+q^2+q^3+2*q^4+2*q^5+2*q^6+q^7+q^8+q^9]
-l3:=[(1+q^4+q^6)*(1+q+q^2+q^3+q^4+q^5+q^6)]
-l4:=[(1+q^4)*(1+q+q^2+q^3+q^4+q^5+2*q^6+2*q^7+2*q^8+2*q^9+q^10+q^11+q^12)]
-l:=append(append(append(l1,l2),l3),l4)
-guessPRec(n, l1, n+->q^n)$GuessPolynomial
l:=[1, 1, 1+q, 1+q+q^2, 1+q+q^2+q^3+q^4, 1+q+q^2+q^3+2*q^4+q^5+q^6, 1+q+q^2+q^3+2*q^4+2*q^5+2*q^6+q^7+q^8+q^9, (1+q^4+q^6)*(1+q+q^2+q^3+q^4+q^5+q^6), (1+q^4)*(1+q+q^2+q^3+q^4+q^5+2*q^6+2*q^7+2*q^8+2*q^9+q^10+q^11+q^12)];
(guessPRec(n, l, n+->q^n)$GuessPolynomial).1

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Changes http://page.axiom-developer.org/zope/mathaction/RationalInterpolation/diff
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??changed:
-The package below implements rational interpolation. 
-
-It requires the following previously compiled package:
Introduction

  This file contains an implementation of rational interpolation, where the data
points are element of any integral domain.

Questions and Outlook

  - Maybe this file should be joined with pinterp.spad, where polynomial
    Lagrange interpolation is implemented. This version parallels the structure
    of pinterp.spad closely. This also answers comments and questions from
    wyscc. He remarked

    - Abbreviations for a constructor should be limited to 7 letters (not 8).
      The system occasionally adds the 8th character to a package for internal
      use.

    - Function names begin with a lower case, so RationalInterpolation should
      be rationalInterpolation, or better, rationalInterpolate.

  - Regarding the types I used for the values, wyscc remarked
   
    - If we are doing a rational interpolation, presumably the values are
      rational, so it does not make sense to require the $y$-coordinates of
      inputs be integral. On the other hand, as in the above example, if one
      uses 'FRAC INT', problems can arise when this package is combined with
      other packages that constructs the quotient field of the parameter domain
      'F' because Axiom does not like constructing 'FRAC FRAC INT'.
      
    Note however, that the package would rather construct the type 'FRAC SUP
    FRAC INT', so this problem should not occur. Moreover, there are situations
    - for example in the package [Guess], where we want to interpolate values
    from an IntegralDomain. Of course we could first convert them to the
    quotient field, however, the current approach seems more natural to me.

  - Finally, wyscc asked:
    If <code>p(xx) = interpolate(lx, ly, m, k)</code>, what is the purpose of
    <code>elt(px, qx) = p(qx)</code>, the composition of <code>p(xx)</code> and
    <code>qx</code>, especially when <code>qx</code> is from <code>FRAC UP(xx,
    F)</code> instead of from just <code>F</code>? and why is this function
    (the composition) also called <code>interpolate</code>?

    I do not really know - apart from a very superficial level: Clearly, the
    second function was intended to let the user easily plug in values into the
    interpolated function. I don't find this sensible and I would be happy to
    change it. Indeed, this would also get rid of the first parameter to
    'RINTERP', which is quite a nuisance.

    I think we should agree on a general interface for interpolation
    algorithms, and mark 'PINTERP' as obsolete. By the way, it seems that
    'RINTERP' is faster, too.
    
  - There are probably better ways to implement rational interpolation. Maybe
    http://www.cs.ucsb.edu/~omer/personal/abstracts/rational.html
    contains something useful, but I don't know.

  - For those who speak german,
    http://www.num.math.uni-goettingen.de/schaback/teaching/numath.ps
    contains quite a bit of information.

  - This implementation of rational interpolation neither takes care of
    unattainable points, nor does it check whether the values of the
    $x$-coordinates are all distinct.

  - Comments welcome!



??changed:
-)lib RINTERPA
)abbrev package RINTERPA RationalInterpolationAlgorithms
++ Description:
++ This package exports rational interpolation algorithms
RationalInterpolationAlgorithms(F, P): Cat == Body   where
    F: IntegralDomain 
    P: UnivariatePolynomialCategory(F)
    Cat == with
        RationalInterpolation: (List F, List F, NonNegativeInteger,
                                NonNegativeInteger) 
                               -> Fraction P
        +++ We assume that the elements of the first list are all distinct.
        +++ If they are not, division by zero might occur.

    Body == add
        RationalInterpolation(xlist, ylist, m, k) ==
            #xlist ^= #ylist =>
                error "Different number of points and values."
            #xlist ^= m+k+1 =>
                error "wrong number of points"
            tempvec: List F := [1 for i in 1..(m+k+1)]

            collist: List List F := cons(tempvec, 
                                         [(tempvec := [tempvec.i * xlist.i _
                                                       for i in 1..(m+k+1)]) _
                                          for j in 1..max(m, k)])

            collist := append([collist.j for j in 1..(m+1)], _
                              [[- collist.j.i * ylist.i for i in 1..(m+k+1)] _
                               for j in 1..(k+1)])
            resspace: List Vector F := nullSpace((transpose matrix collist) _
                                                 ::Matrix F)
            reslist: List List P := _
                      [[monomial((resspace.1).(i+1), i) for i in 0..m], _
                      [monomial((resspace.1).(i+m+2), i) for i in 0..k]]

            reduce((_+), reslist.1)/reduce((_+), reslist.2)

??changed:
-Next PolynomialCommonDenominator
-
-Example (added by wyscc):

First we check whether we have the right number of points and values. Clearly
the number of points and the number of values must be identical. Note that we
want to determine the numerator and denominator polynomials only up to a
factor. Thus, we want to determine $m+k+1$ coefficients, where $m$ is the degree
of the polynomial in the numerator and $k$ is the degree of the polynomial in
the denominator.

In fact, we could also leave - for example - $k$ unspecified and determine it
as $k=\#xlist-m-1$: I don't know whether this would be better.

The next step is to set up the matrix. Suppose that our numerator polynomial is
$p(x)=a_0+a_1x+\dots+a_mx^m$ and that our denominator polynomial is
$q(x)=b_0+b_1x+\dots+b_mx^m$. Then we have the following equations, writing $n$
for $m+k+1$:

\begin{eqnarray*}
 p(x_1)-y_1q(x_1)&=a_0+a_1x_1+\dots +a_mx_1^m-y_1(b_0+b_1x_1+\dots +b_kx_1^k)=0\\
 p(x_2)-y_2q(x_2)&=a_0+a_1x_2+\dots +a_mx_2^m-y_2(b_0+b_1x_2+\dots +b_kx_2^k)=0\\
                 &\;\;\vdots\\                                                 
 p(x_n)-y_nq(x_n)&=a_0+a_1x_n+\dots +a_mx_n^m-y_n(b_0+b_1x_n+\dots +b_kx_n^k)=0
\end{eqnarray*}

This can be written as
\begin{equation*}
\begin{bmatrix}
  1&x_1&\dots&x_1^m&-y_1&-y_1x_1&\dots&-y_1x_1^k\\
  1&x_2&\dots&x_2^m&-y_2&-y_2x_2&\dots&-y_2x_2^k\\
\vdots\\
  1&x_n&\dots&x_n^m&-y_n&-y_nx_n&\dots&-y_nx_2^k
\end{bmatrix}
\begin{bmatrix}
  a_0\\a_1\\\vdots\\a_m\\b_0\\b_1\\\vdots\\b_k
\end{bmatrix}=\mathbf 0
\end{equation*}

We generate this matrix columnwise, then we can solve the system using 'nullSpace'.

Note that it may happen that the system has several solutions. In this case,
some of the data points may not be interpolated correctly. However, the
solution is often still useful, thus we do not signal an error.

Since all the solutions of 'nullSpace' will be equivalent, we can always
simply take the first one. Finally, we return the rational function.

Examples

  To conclude we present some examples. To begin with, the following interpolation 
illustrates the concept of unattainable points:

??changed:
-f(x)== (x^3+5*x-3)/(x^2-3)
-f(x)
-xlist:List FRAC INT :=[1/2, 4, 1/6, 8, 1/10, 12]
-ylist :=[f(x) for x in xlist]
interpolate([q,q^2,q^3],[0,x^1,x^2],0,2)$RINTERP(qn, FRAC POLY INT)

++added:
\begin{axiom}
f(x) == (x^3+5*x-3)/(x^2-3)
xlist := [1/2, 4, 1/6, 8, 1/10, 12]
ylist := [f(x) for x in xlist]

interpolate(xlist, ylist, 3, 2)$RINTERP('x, FRAC INT)
interpolate(1/6::FRAC UP(x,FRAC INT), xlist, ylist, 3, 2)$RINTERP('x,FRAC INT)
\end{axiom}


??changed:
-dom:=DMP([z],INT);
-g:FRAC dom -> FRAC dom
dom := DMP([z],INT);
g: FRAC dom -> FRAC dom;

??changed:
-xxlist:List FRAC dom:=[1/(2*z), 4*z, 1/(6*z), 8*z, 1/(10*z), 12*z]
-yylist:=[g(x) for x in xxlist]
---RationalInterpolation(xxlist, yylist, 3::NNI, 2::NNI)$RINTERPA(FRAC dom, UP(x, FRAC dom))
-\end{axiom}
-
-\begin{axiom}
-interpolate(xlist, ylist, 3, 2)$RINTERP('x, FRAC INT)
-interpolate(1/6::FRAC UP(x,FRAC INT), xlist, ylist, 3,2)$RINTERP('x,FRAC INT)
xxlist: List FRAC dom := [1/(2*z), 4*z, 1/(6*z), 8*z, 1/(10*z), 12*z]
yylist := [g(x) for x in xxlist]

--removed:
-
-Question: If <code>p(xx) = interpolate(lx, ly, m, k)</code>, what is the purpose of
-<code>elt(px, qx) = p(qx)</code>, the composition of <code>p(xx)</code> and <code>qx</code>, especially when <code>qx</code> is from <code>FRAC UP(xx, F)</code> instead of from just <code>F</code>? and why is this function (the composition) also called <code>interpolate</code>?
-

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++added:

Example use:

\begin{axiom}
)set mess type off
dom:=DMP([x,y], FRAC DMP([z],INT));
p:dom:=x*y^3/(z^2-1) + 3*x*y/(z^3-1)
commonDenominator p
clearDenominator p
splitDenominator p
\end{axiom}

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Cc: boyer@cs.utexas.edu, Aurelien Chanudet <ralubrik@yahoo.fr>,
	"Warren A. Hunt Jr." <hunt@cs.utexas.edu>, gcl-devel@gnu.org,
	axiom-developer@nongnu.org
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Aurelien!!!  It is *so* nice to hear from you!  I hope all is well
with you and yours.


Beyond the axiom issue discussed below, some acl2 users at the
University of Texas are running into difficulties with the mac code
when making very large images.  Would you have a chance to try to
build ACL2 with maxpages doubled, quadrupled, and even multiplied by 8
if you OS allows?  Please let me know if you have some time to
investigate this.  I can send you more information if so.


Aurelien Chanudet <ralubrik@yahoo.fr> writes:

> Hi Camm and all,
>=20
> Sorry for seeming unreachable ! Having no access to
> the Internet at home for the time being, I find it
> quite difficult to contribute efficiently to gcl. All
> I was able to do recently was spend one full week
> feedling with gdb, tracing the route of segfaults from
> the kernel all the way to the debugger, trying to sort
> out why gdb doesn't handle segfault on MacOSX the way
> it does on Linux.

What dedication!  Is this a known issue on the Mac?  Any help from the
gdb developers?


>=20
> Some remarks concerning Pierre's output :
>=20
> - There's a README.macosx file enrolled in the CVS
> repository
> (http://savannah.gnu.org/cgi-bin/viewcvs/gcl/gcl/README.macosx).
> Camm, could you please change the CVS option for this
> file so as to make it appear in CVS head ? If you want

I'm not sure what you mean here.  Its in the CVS head tree (aka 2.7.0)
to my understanding.  Should I post it to the website on the errata
page?=20=20

> to learn more about unexec, try looking for Andrew
> Choi's work for Emacs.
>=20

Thanks for the tip -- will dig in as time allows.  I don't know if you
saw my previous note on this, but I feel that if we can extend unexec
in two ways, it would be greatly advantageous to GCL.=20=20

1) Add reloc records for any symbols relocated to a dlopened library
   in a given session, together with whatever section is also needed
   to indicate that the image is (now permanently) dynamically linked
   against the lib.

2) Merge gprof section info from any loaded .o files into the final
   saved image so that profiling will work without having to generate
   a fresh image with ld.

Already discussed with the emacs people, who don't seem to have the
time for the work themselves.

Beyond this, of course, is extending native loading to alpha, ia64,
mips, and hppa.  And, as long as we're making this list, it would be
great if we could eliminate the 1.5Mb image bloat incurred by using
bfd instead of the older reloc code -- this doubtlessly comes from
storing the hash table of all the symbols permanently in the image,
which should be fast, but perhaps not significantly so.

> - The error you're running into ("not enough room for
> load commands for new __DATA segments") is due to your
> configure options. As a general rule, I highly
> recommend using --enable-locbfd and --disable-dlopen.
> I don't even know if the dlopen option is available on
> MacOSX.
>=20

Tim, Pierre -- are you not building this way already?


Take care,


> --- Camm Maguire <camm@enhanced.com> wrote:
> > Greetings!
> >=20
> > This is an official call for help from someone
> > familiar with the Mac
> > and in particular with its mach-o binary file
> > format.  We have an in
> > general very high quality custom port of the gcl
> > object relocation and
> > image writing code to this platform graciously
> > contributed by
> > Aurelien, but it appears that he is no longer
> > reachable, and there are
> > large image issues with his code in acl2 as well.  I
> > have access to a
> > Mac account and can ascend the learning curve here
> > if necessary -- it
> > would simply be much more efficient if someone with
> > the requisite
> > knowledge already in hand would step forward.
> >=20
> > Take care,
> >=20
> > Pierre Doucy <pierre.doucy@gmail.com> writes:
> >=20
> > > Hi all,
> > >=20
> > > Attempting to compile Axiom on my Mac, I get the
> > following error :
> > >=20
> > > [...]
> > > 44 invoking make in
> > >
> >
> /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/src/boot
> > > with parms:
> > > SYS=3D MACOSX
> > > LSP=3D
> >
> /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/lsp
> > > PART=3D cprogs
> > > SPAD=3D
> >
> /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/mnt/MACOSX
> > > SRC=3D
> >
> /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/src
> > > INT=3D
> >
> /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/int
> > > OBJ=3D
> >
> /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/obj
> > > MNT=3D
> >
> /Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/mnt
> > > unexec: not enough room for load commands for new
> > __DATA segments
> > > make[3]: ***
> >
> [/Users/pdoucy/Documents/Travail/Axiom/axiom--MACOSX--1--patch-1/obj/MACO=
SX/bin/bootsys]
> > > Error 1
> > > make[2]: *** [bootdir] Error 2
> > > make[1]: *** [srcdir] Error 2
> > > make: *** [all] Error 2
> > >=20
> > > As it looked like a memory problem, I changed my
> > gcl configure options to:
> > >=20
> > > ./configure --enable-vssize=3D65536*4
> > --enable-maxpage=3D256*1024
> > > --enable-machine=3Dpowerpc-macosx --enable-dlopen
> > --disable-locbfd
> > >=20
> > > but still get the same error.
> > > After some googling, I haven't been able to find
> > any clear doc about
> > > what unexec is, and what it does.
> > > Can anyone explain me what it is supposed to do,
> > and why it might fail
> > > in such a manner ?
> > >=20
> > > Thank you in advance.
> > >=20
> > > Pierre DOUCY
> > > --=20
> > > Cats are intended to teach us that not everything
> > in nature has a function.
> > >=20
> > >=20
> > > _______________________________________________
> > > Axiom-developer mailing list
> > > Axiom-developer@nongnu.org
> > >
> >
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
> > >=20
> > >=20
> > >=20
> >=20
> > --=20
> > Camm Maguire			     			camm@enhanced.com
> >
> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
> > "The earth is but one country, and mankind its
> > citizens."  --  Baha'u'llah
>=20
>=20
>=20
>=20=09
>=20=09
>=20=09=09
> Le nouveau Yahoo! Messenger est arriv=E9 ! D=E9couvrez toutes les nouveau=
t=E9s pour dialoguer instantan=E9ment avec vos amis. A t=E9l=E9charger grat=
uitement sur http://fr.messenger.yahoo.com
>=20
>=20
>=20
>=20

--=20
Camm Maguire			     			camm@enhanced.com
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Changes http://page.axiom-developer.org/zope/mathaction/SymbolicIntegration/diff
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 \begin{axiom}
 integrate(exp(-x^2),x)
  \end{axiom}

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I'm going to try to be there.

Take care,

daly@axiom-developer.org writes:

> *,
> 
> I'm working on setting up an agenda for the axiom sprint day.
> It appears that the morning will be spent discussing future 
> directions for Axiom. The rest of the time will be spent 
> cleaning up the IssueTracker items.
> 
> Mark Murray will be joining us via phone as he cannot attend
> in person.
> 
> Tim
> 
> 
> 
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
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Why is it in status 'testing' ?
The Makefile from cvs has been changed?
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The link for TeXmacs on
http://page.axiom-developer.org/zope/mathaction/FrontPage

http://page.axiom-developer.org/zope/mathaction/TeXmacs

does not work.

> Site Error
> 
> An error was encountered while publishing this resource.
> 
> RuntimeError
> Sorry, a site error occurred.
> 
> Traceback (innermost last):
> 
>     * Module ZPublisher.Publish, line 163, in publish_module_standard
>     * Module Products.PlacelessTranslationService.PatchStringIO, line 51, in new_publish
>     * Module ZPublisher.Publish, line 127, in publish
>     * Module Zope.App.startup, line 203, in zpublisher_exception_hook
>     * Module ZPublisher.Publish, line 100, in publish
>     * Module ZPublisher.mapply, line 88, in mapply
>     * Module ZPublisher.Publish, line 40, in call_object
>     * Module Products.ZWiki.ZWikiPage, line 228, in __call__
>     * Module Products.ZWiki.ZWikiPage, line 240, in render
>     * Module Products.ZWiki.ZWikiPage, line 258, in preRender
>     * Module Products.LatexWiki, line 74, in preRender
>     * Module Products.LatexWiki.ReplaceInlineLatex, line 59, in replaceInlineLatex
>     * Module Products.LatexWiki.ReplaceInlineLatex, line 46, in findLatexCode
> 
> RuntimeError

-- 
William Sit
Department of Mathematics....Email: wyscc@cunyvm.cuny.edu
City College of New York................Tel: 212-650-5179
Convent Ave at West 138th Street........Fax: 212-862-0004
New York, NY 10031..Axiom, A Scientific Computation Sytem
USA............... http://www.nongnu.org/axiom/index.html



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Changes http://page.axiom-developer.org/zope/mathaction/TeXmacs/diff
--

??changed:
-      $ which tm_axiom
      \$ which tm_axiom

--
forwarded from http://page.axiom-developer.org/zope/mathaction/TeXmacs#msg20050322203413-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/114MapOnFunctionsCrash/diff
--
Severity: serious => critical 

--
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The problem was with an un-escaped $ in the text. Occasionally
this causes the LatexWiki parser to blow up. It should be written
\$ instead.

William Sit wrote:

>The link for TeXmacs on
>http://page.axiom-developer.org/zope/mathaction/FrontPage
>
>http://page.axiom-developer.org/zope/mathaction/TeXmacs
>
>does not work.
>
>  
>
>>Site Error
>>
>>An error was encountered while publishing this resource.
>>
>>RuntimeError
>>Sorry, a site error occurred.
>>...
>>    * Module Products.LatexWiki.ReplaceInlineLatex, line 46, in findLatexCode
>>
>>RuntimeError
>>    
>>
>
>  
>




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Dear Bill:

Thanks for the quick response. That was easy.

William
----
> The problem was with an un-escaped $ in the text. Occasionally
> this causes the LatexWiki parser to blow up. It should be written
> \$ instead.



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Tim,

I just finished building patch-32. When I try to display a 3d graphic
from Hypertex, I get the error message:

  uncompress:"/home/wspage/axiom--main--1/mnt/linux/doc/viewports
    /ThreeDimentsionalGraphicsExpamplePage1.VIEW/images.xpm.Z".gz:
   No such file or directory

It looks like some "quotation marks" are nested incorrectly or
improperly escaped (note .gz ouside " ").

Regards,
Bill Page.

root wrote:

>Summary: cleanups, documentation
>Keywords: daly NUMTHEORY
>
>20050320 tpd --patch-32
>20050320 tpd Makefile revert VERSION to 3.4
>20050320 tpd src/input/Makefile add ALGEBRA variable for documentation tests
>20050320 tpd src/algebra/numtheory.spad build test case for INTHEORY
>20050320 tpd src/algebra/Makefile add test case for INTHEORY
>20050320 tpd src/Makefile make int/input directory during algebra step
>20050320 tpd src/algebra/numtheory.spad document INTHEORY/chineseRemainder
>20050320 tpd src/algebra/numtheory.spad document INTHEORY/inverse
>20050318 tpd lsp/gcl-2.6.6/cmpnew/gcl_cmpflet.lsp redo tail-recursive patch
>20050318 tpd src/lib/cfuns-c.c in make_path_from_file, initialize pos
>20050318 tpd src/lib/wct.c coerce pwct->fsize to int in skim1Wct
>20050318 tpd src/lib/sockio-c.c initialize code to -1
>20050318 tpd src/lib/pixmap.c remove attr, xireturn unused variables
>20050318 tpd Makefile latex fixes
>20050318 tpd Makefile add <<GCLOPTS-LOCBFD>>
>20050318 tpd src/hyper/Makefile Issue #125 htadd bare fixed
>
>
>_______________________________________________
>Axiom-developer mailing list
>Axiom-developer@nongnu.org
>http://lists.nongnu.org/mailman/listinfo/axiom-developer
>
>  
>




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Changes http://page.axiom-developer.org/zope/mathaction/129Patch32FailsToDisplay3DGraphics/diff
--
I just finished building patch-32. When I try to display a 3d graphic
from Hypertex, I get the error message:

  uncompress:"/home/wspage/axiom--main--1/mnt/linux/doc/viewports
    /ThreeDimentsionalGraphicsExpamplePage1.VIEW/images.xpm.Z".gz:
   No such file or directory

It looks like some "quotation marks" are nested incorrectly or
improperly escaped (note .gz ouside " ").


--
forwarded from http://page.axiom-developer.org/zope/mathaction/129Patch32FailsToDisplay3DGraphics#msg20050322224444-0600@page.axiom-developer.org



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From: Aurelien Chanudet <ralubrik@yahoo.fr>
Subject: Re: Call for help with MACOSX Re: [Axiom-developer] [MACOSX] What is
	unexec and why does it fail ?
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> Beyond the axiom issue discussed below, some acl2
> users at the
> University of Texas are running into difficulties
> with the mac code
> when making very large images.  Would you have a
> chance to try to
> build ACL2 with maxpages doubled, quadrupled, and
> even multiplied by 8
> if you OS allows?  Please let me know if you have
> some time to
> investigate this.  I can send you more information
> if so.

What version of ACL2 and gcl are these people using ?
Will try to give this a look as time permits. By the
way, what's the status of SGC on the Mac now ? There
have been some recent issues as far as I remember.

> What dedication!  Is this a known issue on the Mac? 
> Any help from the
> gdb developers?

This is a known issue on the Mac, albeit one that
interests no one but me (for understandable reasons, I
feel it way more confortable to debug SGC in GCL using
gdb than using printf debugging). Basically, attaching
gdb to a process, say GCL, which handles segfaults on
its own, makes it impossible for the signal handler to
be called. Gdb will simply refuse to pass the
exception to the program. This is due to the way
traditionnal Unix signals are handled in MacOSX's Mach
kernel. Traditionnal signals are handled by a BSD
layer which gdb bypasses... 

> I'm not sure what you mean here.  Its in the CVS
> head tree (aka 2.7.0)
> to my understanding.  Should I post it to the
> website on the errata
> page?  

It must be fine then. I must confess I'm not "CVS
savvy". I just wanted to make sure that the file can
be retrieved when using the basic "cvs login / cvs co"
sequence.

> 1) Add reloc records for any symbols relocated to a
> dlopened library
>    in a given session, together with whatever
> section is also needed
>    to indicate that the image is (now permanently)
> dynamically linked
>    against the lib.
>
> 2) Merge gprof section info from any loaded .o files
> into the final
>    saved image so that profiling will work without
> having to generate
>    a fresh image with ld.

Under what form are gprof information stored ?


	
	
		
___________________________________________________________________________________________________
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Changes http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger/diff
--
digamma 2 =>  0.42278433509846725 (DoubleFloat)
<br>
Has to return digamma(2) (EXPR INT)
--
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Changes http://page.axiom-developer.org/zope/mathaction/SymbolicIntegration/diff
--

??changed:
-int(exp(-x^2/2)/sqrt(%pi*2),x=%minusInfinity..%plusInfinity)
integrate(exp(-x^2/2)/sqrt(%pi*2),x=%minusInfinity..%plusInfinity)

--
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Changes http://page.axiom-developer.org/zope/mathaction/SymbolicIntegration/diff
--
\begin{axiom}
int(exp(-x^2/2)/sqrt(%pi*2),x=%minusInfinity..%plusInfinity)
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/SymbolicIntegration#msg20050323082321-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger/diff
--
Status: open => rejected 

--
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Changes http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger/diff
--

??changed:
-digamma 2 =>  0.42278433509846725 (DoubleFloat)
-<br>
-Has to return digamma(2) (EXPR INT)
Original Issue Report

  \begin{axiom}
  digamma 2
  \end{axiom}
  Has to return digamma(2) (EXPR INT)

Analysis

  The statement of the issue is to terse and vague to be sure
what the author had in mind, but assuming that s/he expected
the result to be of type EXPR INT, here is how to see what is
going on. Use the option ')set message selection on' to trace
how Axiom finds the signature of the appropriate digamma
function:
\begin{axiom}
)set message selection on
digamma 2
\end{axiom}

Axiom finds 3 possible signatures and applies the first one
because 2 can be coerced to DoubleFloat. But we can ask Axiom
to take the third option by either specifically treating the
type of the input 2 as EXPR INT or by asking for something of
type EXPR INT as the result.

\begin{axiom}
digamma(2::EXPR INT)
digamma(2)@(EXPR INT)
\end{axiom}

Of course as something of type EXPR INT this expression has
no simplier representation.

--
forwarded from http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger#msg20050323161505-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#130 SpecialFunction(Integer) doesn't return
	Expression Integer] 
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Changes http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger/diff
--

??changed:
-Status: open => rejected 
-
Status: open => rejected

Sorry to respond to this but in Axiom, all trigonometric, transcendental etc.. functions
is returned in EXPR INT if there is no integer functions. I think that Axiom has to return digamma(2)
and digamma(2.0) the SF result. This permit to work directly on expression.
You can test some other symbolic CAS.But may be I'm wrong.




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forwarded from http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger#msg20050323170832-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#130 SpecialFunction(Integer) doesn't return
	Expression Integer] PLEASE RESPOND and THANK YOU
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Changes http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger/diff
--
Please do **not** be "sorry to respond" -
 that is the purpose of this website!

By the way, I think it would be polite (but it is not necessary)
for you identify yourself by clicking on
"preferences":http://page.axiom-developer.org/zope/mathaction/UserOptions
rather than remaining anonymous. 

What I think you mean is this: Why is the mode selection for the
following pairs of expressions different?
\begin{axiom}
)set message selection on
sin(2)
digamma(2)
\end{axiom}
and
\begin{axiom}
sin(2.0)
digamma(2.0)
\end{axiom}
Since sin is defined in DoubleFloat and digamma is defined in
DoubleFloatSpecialFunctions one should expect similar treatment.
\begin{axiom}
)show DoubleFloat
)show DoubleFloatSpecialFunctions
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger#msg20050323180605-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AXIOMsys/diff
--
AXIOMSYS V7 DOWLOADS

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Subject: [Axiom-developer] [#130 SpecialFunction(Integer) doesn't return
	Expression Integer] please excuse my premature change of status
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Changes http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger/diff
--
Status: rejected => open 

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Subject: [Axiom-developer] [#130 SpecialFunction(Integer) doesn't return
	Expression Integer] Treating special functions like
	Expression Integer
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Changes http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger/diff
--
Apparently the difference has something to do with the fact that
**DoubleFloat** is a 'domain' while **DoubleFloatSpecialFunctions**
is a 'package'. It is possible to obtain some of the effectst that
you want by dropping the **DoubleFloatSpecialFunctions** from the
list of exposed constructors.
\begin{axiom}
)set expose drop constructor DoubleFloatSpecialFunctions
\end{axiom}
Then these are treated the same
\begin{axiom}
sin(2)
digamma(2)
\end{axiom}
except now it is necessary to do a package call to evaluate
it even for something that is a floating point value.
\begin{axiom}
digamma(2.0)
digamma(2.0)$DoubleFloatSpecialFunctions
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger#msg20050323200631-0600@page.axiom-developer.org



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Subject: [Axiom-developer] build failure on Debian Woody Solved -- Stray
	symbols in src/algebra/Makefile ! ??
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Hi,
I managed to fix the build failure problem, on Debian/Woody
described in my earlier post. 

The problems seems to have been stray backslashes being placed
before dollar signs. A few sample lines showing this are given below.
This seems to happen only in src/algebra/Makefile . Making the
substitution "s/\\\$/$/g" and restarting the build process fixes
the problem.

\${MID}/ABELGRP.spad: \${IN}/catdef.spad.pamphlet
        \${TANGLE} -R"category ABELGRP AbelianGroup"\${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP.spad
\${MID}/ABELGRP.lsp: \${IN}/catdef.spad.pamphlet
        \${TANGLE} -R"ABELGRP.lsp BOOTSTRAP"\${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP.lsp

\${MID}/ABELGRP-.lsp: \${IN}/catdef.spad.pamphlet
        \${TANGLE} -R"ABELGRP-.lsp BOOTSTRAP"\${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP-.lsp


I do not understand why this is happening. Apparently it does not happen on
newer versions of debian as can be seen from the successfull builds on
buildd.debian.org.  Please note this is not a problem with the debian
package as it occurs if I try to compile with the upstream source too.

sincerely
B Thomas



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	Balbir Thomas on Wed, 23 Mar 2005 23:34:26 -0500)
Subject: Re: [Axiom-developer] build failure on Debian Woody Solved -- Stray
	symbols in src/algebra/Makefile ! ??
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Stray backslashes in the Makefile?  Well the Makefile is generated by
running the notangle program on the Makefile.pamphlet file.  The
notangle program is part of noweb.

Do you have a copy of noweb installed elsewhere on your machine? If
so, does your version occur before the axiom version of noweb? Axiom
has some patches to noweb so it is not the standard version.

Run notangle by hand on the Makefile.pamphlet file and see if it is
causing the problem. 

Before you start the axiom build there are two shell variables to be set:

export AXIOM =`pwd`/mnt/linux
export PATH=$AXIOM/bin:$PATH

This PATH spec should cause the axiom version of notangle to be used.

Tim




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Subject: RE: [Axiom-developer] build failure on Debian Woody Solved -- Str
	ay symbols in src/algebra/Makefile ! ??
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On Wednesday, March 23, 2005 11:34 PM Balbir Thomas wrote:

> I managed to fix the build failure problem, on Debian/Woody
> described in my earlier post. 
>
> The problems seems to have been stray backslashes being placed
> before dollar signs. A few sample lines showing this are given
> below. This seems to happen only in src/algebra/Makefile . Making
> the substitution "s/\\\$/$/g" and restarting the build process
> fixes the problem.

> \${MID}/ABELGRP.spad: \${IN}/catdef.spad.pamphlet
>        \${TANGLE} -R"category ABELGRP AbelianGroup"\ ...
>
> I do not understand why this is happening. Apparently it does
> not happen on newer versions of debian as can be seen from the
> successfull builds on buildd.debian.org.  Please note this is not
> a problem with the debian package as it occurs if I try to compile
> with the upstream source too.

I can confirm that this does not happen on newer version of debian
or RedHat linux.

The example lines that you show above are actually generated by
a simple awk script in the chunks <<findSpadFiles>> and
<<findBootstrapFiles>> in the file src/algebra/Makefile.pamphlet.
It looks like this:

  <<findSpadFiles>>=

  egrep '<<(domain|package|category) .*>>=' *.spad.pamphlet | \
  awk -F: '{
    chunk=substr($2,3,length($2)-5);
    split(chunk,part," ");
    spadfile="\${MID}/"part[2]".spad";
    print spadfile": \${IN}/"$1;
    print "\t\${TANGLE} -R\""chunk"\" \${IN}/"$1">"spadfile;
    print "";
  }'

It seems that some versions of awk do not process the escaped \$ in
the same way as some others. (The gnu awk documentation actually
says that for posix implementations this behaviour is undefined.)
I think that strictly speaking the escape before $ is not needed
and we should probably remove these extra \.

Regards,
Bill Page.



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To: root <daly@axiom-developer.org>
Subject: Re: [Axiom-developer] build failure on Debian Woody Solved -- Stray
	symbols in src/algebra/Makefile ! ??
Message-ID: <20050324061129.GA22127@scientificcomputing.net>
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Hi,

I was building with Camm's debian packages source. This does
set the environment variables correctly so the version of notangle
used is the one supplied by axiom even though I do have an
local version of notangle (part of the nowebm package on debian).
The build is still in progress.

PS: I am replying from my home computer (with dynamic IP) so
this may get rejected by the mailing list.

sincerely
b thomas

On Thu, Mar 24, 2005 at 12:24:08AM -0500, root wrote:
> Stray backslashes in the Makefile?  Well the Makefile is generated by
> running the notangle program on the Makefile.pamphlet file.  The
> notangle program is part of noweb.
> 
> Do you have a copy of noweb installed elsewhere on your machine? If
> so, does your version occur before the axiom version of noweb? Axiom
> has some patches to noweb so it is not the standard version.
> 
> Run notangle by hand on the Makefile.pamphlet file and see if it is
> causing the problem. 
> 
> Before you start the axiom build there are two shell variables to be set:
> 
> export AXIOM =`pwd`/mnt/linux
> export PATH=$AXIOM/bin:$PATH
> 
> This PATH spec should cause the axiom version of notangle to be used.
> 
> Tim



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Changes http://page.axiom-developer.org/zope/mathaction/AXIOMsys/diff
--

--removed:
-
-From unknown Wed Mar 23 18:22:36 -0600 2005
-From: 
-Date: Wed, 23 Mar 2005 18:22:36 -0600
-Subject: AXIOMSYS V7 DOWLOADS
-Message-ID: <20050323182236-0600@page.axiom-developer.org>
-
-
-
-From unknown Wed Mar 23 18:24:23 -0600 2005
-From: 
-Date: Wed, 23 Mar 2005 18:24:23 -0600
-Subject: AXIOMSYS V7 DOWLOADS
-Message-ID: <20050323182423-0600@page.axiom-developer.org>
-In-Reply-To: <20050323182236-0600@page.axiom-developer.org>
-
-AXIOMSYS V7 DOWLOADS
-

--
forwarded from http://page.axiom-developer.org/zope/mathaction/AXIOMsys#msg20050324022410-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/131AwkBackslashCausesFailureInSrcAlgebraMakefile/diff
--
Hi,
Both the current cvs sources (Feb 1, release)
and 20050201 debian package fail to build
on Woody with the same error message given
below .

make[4]: *** No rule to make target
`/home/bt/archive/axiom/int/algebra/ABELGRP.o', needed by `src'.  Stop.
make[4]: Leaving directory `/home/bt/archive/axiom/src/algebra'
make[3]: *** [algebradir] Error 2
make[3]: Leaving directory `/home/bt/archive/axiom/src'
make[2]: *** [srcdir] Error 2
make[2]: Leaving directory `/home/bt/archive/axiom'
make[1]: *** [all] Error 2
make[1]: Leaving directory `/home/bt/archive/axiom'
make: *** [build-stamp] Error 2

Any suggestions ?

PS: I posted this message before after trying to build
the feb release. This weekend I tried to compile the
new debian package with the same result.

sincerely
b thomas


==============================================================
Hi,
I managed to fix the build failure problem, on Debian/Woody
described in my earlier post. 

The problems seems to have been stray backslashes being placed
before dollar signs. A few sample lines showing this are given below.
This seems to happen only in src/algebra/Makefile . Making the
substitution "s/\\\$/$/g" and restarting the build process fixes
the problem.

\${MID}/ABELGRP.spad: \${IN}/catdef.spad.pamphlet
        \${TANGLE} -R"category ABELGRP AbelianGroup"\${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP.spad
\${MID}/ABELGRP.lsp: \${IN}/catdef.spad.pamphlet
        \${TANGLE} -R"ABELGRP.lsp BOOTSTRAP"\${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP.lsp

\${MID}/ABELGRP-.lsp: \${IN}/catdef.spad.pamphlet
        \${TANGLE} -R"ABELGRP-.lsp BOOTSTRAP"\${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP-.lsp


I do not understand why this is happening. Apparently it does not happen on
newer versions of debian as can be seen from the successfull builds on
buildd.debian.org.  Please note this is not a problem with the debian
package as it occurs if I try to compile with the upstream source too.

sincerely
B Thomas

==================================================================
On Wednesday, March 23, 2005 11:34 PM Balbir Thomas wrote:

> I managed to fix the build failure problem, on Debian/Woody
> described in my earlier post. 
>
> The problems seems to have been stray backslashes being placed
> before dollar signs. A few sample lines showing this are given
> below. This seems to happen only in src/algebra/Makefile . Making
> the substitution "s/\\\$/$/g" and restarting the build process
> fixes the problem.

> \${MID}/ABELGRP.spad: \${IN}/catdef.spad.pamphlet
>        \${TANGLE} -R"category ABELGRP AbelianGroup"\ ...
>
> I do not understand why this is happening. Apparently it does
> not happen on newer versions of debian as can be seen from the
> successfull builds on buildd.debian.org.  Please note this is not
> a problem with the debian package as it occurs if I try to compile
> with the upstream source too.

I can confirm that this does not happen on newer version of debian
or RedHat linux.

The example lines that you show above are actually generated by
a simple awk script in the chunks <<findSpadFiles>> and
<<findBootstrapFiles>> in the file src/algebra/Makefile.pamphlet.
It looks like this:

  <<findSpadFiles>>=

  egrep '<<(domain|package|category) .*>>=' *.spad.pamphlet | \
  awk -F: '{
    chunk=substr($2,3,length($2)-5);
    split(chunk,part," ");
    spadfile="\${MID}/"part[2]".spad";
    print spadfile": \${IN}/"$1;
    print "\t\${TANGLE} -R\""chunk"\" \${IN}/"$1">"spadfile;
    print "";
  }'

It seems that some versions of awk do not process the escaped \$ in
the same way as some others. (The gnu awk documentation actually
says that for posix implementations this behaviour is undefined.)
I think that strictly speaking the escape before $ is not needed
and we should probably remove these extra \.

Regards,
Bill Page.

=======================================================
Hi,

I was building with Camm's debian packages source. This does
set the environment variables correctly so the version of notangle
used is the one supplied by axiom even though I do have an
local version of notangle (part of the nowebm package on debian).
The build is still in progress.

PS: I am replying from my home computer (with dynamic IP) so
this may get rejected by the mailing list.

sincerely
b thomas

On Thu, Mar 24, 2005 at 12:24:08AM -0500, root wrote:
> Stray backslashes in the Makefile?  Well the Makefile is generated by
> running the notangle program on the Makefile.pamphlet file.  The
> notangle program is part of noweb.
> 
> Do you have a copy of noweb installed elsewhere on your machine? If
> so, does your version occur before the axiom version of noweb? Axiom
> has some patches to noweb so it is not the standard version.
> 
> Run notangle by hand on the Makefile.pamphlet file and see if it is
> causing the problem. 
> 
> Before you start the axiom build there are two shell variables to be set:
> 
> export AXIOM =`pwd`/mnt/linux
> export PATH=$AXIOM/bin:$PATH
> 
> This PATH spec should cause the axiom version of notangle to be used.
> 
> Tim

=====================================================================

As Bill Page pointed out the problem is not in noweb
but in a shell script embedded in the src/algebra/Makefile.pamphlet
and the semantics of awk.

Which version of awk are you using? The configure script tries
to figure out which one you have. It prefers gawk, then nawk, and
defaults to awk. You can specify a particular awk version on the
command line thus:

make AWK=/usr/local/bin/gawk

We'll fix the makefile shell script at the next update (expected
on april 1).

--
forwarded from http://page.axiom-developer.org/zope/mathaction/131AwkBackslashCausesFailureInSrcAlgebraMakefile#msg20050324064337-0600@page.axiom-developer.org



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	Balbir Thomas on Thu, 24 Mar 2005 01:11:29 -0500)
Subject: Re: [Axiom-developer] build failure on Debian Woody Solved -- Stray
	symbols in src/algebra/Makefile ! ??
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As Bill Page pointed out the problem is not in noweb
but in a shell script embedded in the src/algebra/Makefile.pamphlet
and the semantics of awk.

Which version of awk are you using? The configure script tries
to figure out which one you have. It prefers gawk, then nawk, and
defaults to awk. You can specify a particular awk version on the
command line thus:

make AWK=/usr/local/bin/gawk

We'll fix the makefile shell script at the next update (expected
on april 1).

Tim



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Subject: [Axiom-developer] [#130 SpecialFunction(Integer) doesn't return
	Expression Integer] Icomplete gamma function is missing
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Changes http://page.axiom-developer.org/zope/mathaction/130SpecialFunctionIntegerDoesntReturnExpressionInteger/diff
--
In DoubleFloatSpecialFunctions, incomplete gamma function is missing. If someone implements it, it's possible to add SpecialFunctionCategory
to the "Exports" of DoubleFloat (add all these functions... => I don't know why gamma is actually exported by DoubleFloat), unexpose DoubleFloatSpecialFunctions and may be SpecialFunction(Integer) will work as requested. The actual behavior is really annoying
<br>
Cheers
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Subject: [Axiom-developer] [#122 Handling of power series] PATCH: Replace %i
	(indent) by %I
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
This patch replace all %i (format) by %I. Go to src/interp directory and type grep -r '%i\>' . 
It's not heavily tested but relatively simple (check it).
See above for details.
<pre>
diff -ur ../axiom-old/src/interp/format.boot.pamphlet src/interp/format.boot.pamphlet
--- ../axiom-old/src/interp/format.boot.pamphlet	2005-01-05 01:04:55.000000000 +0100
+++ src/interp/format.boot.pamphlet	2005-03-24 18:39:07.030278760 +0100
@@ -58,7 +58,7 @@
   sayMSG formatModemap old2NewModemaps displayTranModemap m
 
 sayModemapWithNumber(m,n) ==
-  msg := reverse cleanUpSegmentedMsg reverse ["%i","%i",'" ",
+  msg := reverse cleanUpSegmentedMsg reverse ["%I","%I",'" ",
     STRCONC(lbrkSch(),object2String n,rbrkSch()),
       :formatModemap displayTranModemap m,"%u","%u"]
   sayMSG flowSegmentedMsg(reverse msg,$LINELENGTH,3)
@@ -354,7 +354,7 @@
   $permitWhere : local := true
   $whereList: local := nil
   s:= form2String u
-  $whereList => concat(s,'%b,'"where",'%d,"%i",$whereList,"%u")
+  $whereList => concat(s,'%b,'"where",'%d,"%I",$whereList,"%u")
   s
 
 form2StringWithPrens form ==
@@ -482,10 +482,10 @@
     $permitWhere = true =>
       opList:= formatJoinKey(r,id)
       $whereList:= concat($whereList,"%l",$declVar,": ",
-        formJoin2 argl,'%b,'"with",'%d,"%i",opList,"%u")
+        formJoin2 argl,'%b,'"with",'%d,"%I",opList,"%u")
       formJoin2 argl
     opList:= formatJoinKey(r,id)
-    suffix := concat('%b,'"with",'%d,"%i",opList,"%u")
+    suffix := concat('%b,'"with",'%d,"%I",opList,"%u")
     concat(formJoin2 argl,suffix)
   formJoin2 u
 
diff -ur ../axiom-old/src/interp/i-syscmd.boot.pamphlet src/interp/i-syscmd.boot.pamphlet
--- ../axiom-old/src/interp/i-syscmd.boot.pamphlet	2005-01-30 13:04:38.000000000 +0100
+++ src/interp/i-syscmd.boot.pamphlet	2005-03-24 18:34:14.263786032 +0100
@@ -1823,7 +1823,7 @@
      '%l,'"   ",'%b,:blankList patterns,'%d]
   for [syn,:comm] in ls repeat
     if SUBSTRING(syn,0,1) = '"|" then syn := SUBSTRING(syn,1,NIL)
-    if syn = '"%i" then syn := '"%i "
+    if syn = '"%I" then syn := '"%I "
     wid := MAX(30 - (entryWidth syn),1)
     sayBrightly concat('%b,prefix,syn,'%d,
       fillerSpaces(wid,'"."),'" ",prefix,comm)
diff -ur ../axiom-old/src/interp/msgdb.boot.pamphlet src/interp/msgdb.boot.pamphlet
--- ../axiom-old/src/interp/msgdb.boot.pamphlet	2005-01-05 01:05:36.000000000 +0100
+++ src/interp/msgdb.boot.pamphlet	2005-03-24 18:35:57.886033056 +0100
@@ -28,7 +28,7 @@
    %ceon       turn on centering
    %d          turn off bright printing
    %f          user defined printing
-   %i          start indentation of 3 more spaces
+   %I          start indentation of 3 more spaces -- (2005) changed from %i (avoid conflict with complex i) 
    %l          start a new line
    %m          math-print an expression
    %rjoff      turn off right justification (actually ragged left)
@@ -254,7 +254,7 @@
   NREVERSE msg1
 
 
-SETANDFILEQ($msgdbPrims,'( %b %d %l %i %u %U %n %x %ce %rj "%U" "%b" "%d" "%l" "%i" "%u" "%U" "%n" "%x" "%ce" "%rj"))
+SETANDFILEQ($msgdbPrims,'( %b %d %l %I %u %U %n %x %ce %rj "%U" "%b" "%d" "%l" "%I" "%u" "%U" "%n" "%x" "%ce" "%rj"))
 SETANDFILEQ($msgdbPunct,'(_. _, _! _: _; _? _] _)  "." "," "!" ":" ";" "?" "]" ")"  ))
 SETANDFILEQ($msgdbNoBlanksBeforeGroup,['" ", " ", '"%", "%",_
                             :$msgdbPrims, :$msgdbPunct])
@@ -289,8 +289,8 @@
   blanks := ['" "," "]
   haveBlank := NIL
   prims :=
-    '(%b %d %l %i %u %m %ce %rj _
-     "%b" "%d" "%l" "%i" "%m" "%u" "%ce" "%rj")
+    '(%b %d %l %I %u %m %ce %rj _
+     "%b" "%d" "%l" "%I" "%m" "%u" "%ce" "%rj")
   msg1 := NIL
   for x in msg repeat
     if haveBlank and ((x in blanks) or (x in prims)) then
@@ -512,7 +512,7 @@
         actualMarg := potentialMarg
         nl := [f,'%l,:nl]
         lnl := 199999
-      f in '("%i" %i ) =>
+      f in '("%I" %I ) =>
         potentialMarg := potentialMarg + 3
         nl := [f,:nl]
       PAIRP(f) and CAR(f) in '("%t" %t) =>
@@ -652,7 +652,7 @@
   x = '"%l" =>
     sayNewLine()
     for i in 1..$MARG repeat sayString '" "
-  x = '"%i" =>
+  x = '"%I" =>
     $MARG := $MARG + 3
   x = '"%u" =>
     $MARG := $MARG - 3
@@ -679,7 +679,7 @@
   x = '"%l" =>
     sayString('"\\")
     for i in 1..$MARG repeat sayString '"\ "
-  x = '"%i" =>
+  x = '"%I" =>
     $MARG := $MARG + 3
   x = '"%u" =>
     $MARG := $MARG - 3
</pre>
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	expansion point in type expression] 
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Changes http://page.axiom-developer.org/zope/mathaction/132SeriesExpansionWithComplexDoesntPrintExpansionPointInTypeExpression/diff
--

??changed:
-<pre>
-diff -ur ../axiom-old/src/interp/format.boot.pamphlet src/interp/format.boot.pamphlet
---- ../axiom-old/src/interp/format.boot.pamphlet	2005-01-05 01:04:55.000000000 +0100
-+++ src/interp/format.boot.pamphlet	2005-03-24 18:39:07.030278760 +0100
-@@ -58,7 +58,7 @@
-   sayMSG formatModemap old2NewModemaps displayTranModemap m
- 
- sayModemapWithNumber(m,n) ==
--  msg := reverse cleanUpSegmentedMsg reverse ["%i","%i",'" ",
-+  msg := reverse cleanUpSegmentedMsg reverse ["%I","%I",'" ",
-     STRCONC(lbrkSch(),object2String n,rbrkSch()),
-       :formatModemap displayTranModemap m,"%u","%u"]
-   sayMSG flowSegmentedMsg(reverse msg,$LINELENGTH,3)
-@@ -354,7 +354,7 @@
-   $permitWhere : local := true
-   $whereList: local := nil
-   s:= form2String u
--  $whereList => concat(s,'%b,'"where",'%d,"%i",$whereList,"%u")
-+  $whereList => concat(s,'%b,'"where",'%d,"%I",$whereList,"%u")
-[87 more lines...]



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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

--removed:
-From unknown Sun Mar 13 08:44:43 -0600 2005
-From: 
-Date: Sun, 13 Mar 2005 08:44:43 -0600
-Subject: With complex doesn't print expansion point (type)
-Message-ID: <20050313084443-0600@page.axiom-developer.org>
-
-\begin{axiom}
-series(sin(x),x=%i)
-\end{axiom}
-
-<pre>
-Type: UnivariatePuiseuxSeries?(Expression Complex Integer,x,)
-                                                           ^^
-</pre>
-but for Integer for example
-<pre>
-Type: UnivariatePuiseuxSeries?(Expression Integer,x,0)
-</pre>
-
-[186 more lines...]

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	expansion point in type expression] split form #122
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Changes http://page.axiom-developer.org/zope/mathaction/132SeriesExpansionWithComplexDoesntPrintExpansionPointInTypeExpression/diff
--
Severity: normal => critical 

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Subject: [Axiom-developer] [#132 Series expansion with complex doesn't print
	expansion point in type expression] (new) 
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Changes http://page.axiom-developer.org/zope/mathaction/132SeriesExpansionWithComplexDoesntPrintExpansionPointInTypeExpression/diff
--
Original Date: Sun, 13 Mar 2005 08:44:43 -0600

\begin{axiom}
series(sin(x),x=%i)
\end{axiom}

<pre>
Type: UnivariatePuiseuxSeries?(Expression Complex Integer,x,)
                                                           ^^
</pre>
but for Integer for example
<pre>
Type: UnivariatePuiseuxSeries?(Expression Integer,x,0)
</pre>

>From unknown Sun Mar 20 14:30:14 -0600 2005
From: 
Date: Sun, 20 Mar 2005 14:30:14 -0600
Subject: With complex doesn't print expansion point (type)
Message-ID: <20050320143014-0600@page.axiom-developer.org>
In-Reply-To: <20050313084443-0600@page.axiom-developer.org>

<pre>
file:     msgdb.boot.pamphlet
function: brightPrint0

  x = '"%i" =>
    $MARG := $MARG + 3
------------------------
Each message may contain formatting codes and and parameter codes.
The formatting codes are:
   %b          turn on bright printing
   %ceoff      turn off centering
   %ceon       turn on centering
   %d          turn off bright printing
   %f          user defined printing
   %i          start indentation of 3 more spaces
   %l          start a new line
   %m          math-print an expression
   %rjoff      turn off right justification (actually ragged left)
   %rjon       turn on right justification (actually ragged left)
   %s          pretty-print as an S-expression
   %u          unindent 3 spaces
   %x#         insert # spaces
</pre>

>From unknown Sun Mar 20 14:33:53 -0600 2005
From: 
Date: Sun, 20 Mar 2005 14:33:53 -0600
Subject: With binary infix operator in expansion point,
	transform it to fortran (displayed type)
Message-ID: <20050320143353-0600@page.axiom-developer.org>

\begin{axiom}
series(sin(x),x=%pi/2)
series(sin(x),x=%e)
series(sin(x),x=%e+3)
series(sin(x),x=%i+7)
\end{axiom}
<pre>
file:                  format.boot.pamphlet
Infix Binary Operator: "=" "+" "-" "*" "/" "**" "^" (i-output.boot.pamphlet => function isBinaryInfix)
function:              form2String1 call fortexp0
 
   isBinaryInfix op => fortexp0 [op,:argl]

----------------------------------------
In fortPre1 (file:newfort.boot.pamphlet)

  fortPre1 e ==
    -- replace spad function names by Fortran equivalents
    -- where appropriate, replace integers by floats
    -- extract complex numbers
    -- replace powers of %e by calls to EXP
    -- replace x**2 by x*x etc.
    -- replace ROOT by either SQRT or **(1./ ... )
    -- replace N-ary by binary functions
    -- strip the '%' character off objects like %pi etc..
</pre> 

>From test Thu Mar 24 12:03:22 -0600 2005
From: test
Date: Thu, 24 Mar 2005 12:03:22 -0600
Subject: PATCH: Replace %i (indent) by %I
Message-ID: <20050324120322-0600@page.axiom-developer.org>

This patch replace all %i (format) by %I. Go to src/interp directory and type grep -r '%i\>' . 
It's not heavily tested but relatively simple (check it).
See above for details.
<pre>
diff -ur ../axiom-old/src/interp/format.boot.pamphlet src/interp/format.boot.pamphlet
--- ../axiom-old/src/interp/format.boot.pamphlet	2005-01-05 01:04:55.000000000 +0100
+++ src/interp/format.boot.pamphlet	2005-03-24 18:39:07.030278760 +0100
@@ -58,7 +58,7 @@
   sayMSG formatModemap old2NewModemaps displayTranModemap m
 
 sayModemapWithNumber(m,n) ==
-  msg := reverse cleanUpSegmentedMsg reverse ["%i","%i",'" ",
+  msg := reverse cleanUpSegmentedMsg reverse ["%I","%I",'" ",
     STRCONC(lbrkSch(),object2String n,rbrkSch()),
       :formatModemap displayTranModemap m,"%u","%u"]
   sayMSG flowSegmentedMsg(reverse msg,$LINELENGTH,3)
@@ -354,7 +354,7 @@
   $permitWhere : local := true
   $whereList: local := nil
   s:= form2String u
-  $whereList => concat(s,'%b,'"where",'%d,"%i",$whereList,"%u")
+  $whereList => concat(s,'%b,'"where",'%d,"%I",$whereList,"%u")
   s
 
 form2StringWithPrens form ==
@@ -482,10 +482,10 @@
     $permitWhere = true =>
       opList:= formatJoinKey(r,id)
       $whereList:= concat($whereList,"%l",$declVar,": ",
-        formJoin2 argl,'%b,'"with",'%d,"%i",opList,"%u")
+        formJoin2 argl,'%b,'"with",'%d,"%I",opList,"%u")
       formJoin2 argl
     opList:= formatJoinKey(r,id)
-    suffix := concat('%b,'"with",'%d,"%i",opList,"%u")
+    suffix := concat('%b,'"with",'%d,"%I",opList,"%u")
     concat(formJoin2 argl,suffix)
   formJoin2 u
 
diff -ur ../axiom-old/src/interp/i-syscmd.boot.pamphlet src/interp/i-syscmd.boot.pamphlet
--- ../axiom-old/src/interp/i-syscmd.boot.pamphlet	2005-01-30 13:04:38.000000000 +0100
+++ src/interp/i-syscmd.boot.pamphlet	2005-03-24 18:34:14.263786032 +0100
@@ -1823,7 +1823,7 @@
      '%l,'"   ",'%b,:blankList patterns,'%d]
   for [syn,:comm] in ls repeat
     if SUBSTRING(syn,0,1) = '"|" then syn := SUBSTRING(syn,1,NIL)
-    if syn = '"%i" then syn := '"%i "
+    if syn = '"%I" then syn := '"%I "
     wid := MAX(30 - (entryWidth syn),1)
     sayBrightly concat('%b,prefix,syn,'%d,
       fillerSpaces(wid,'"."),'" ",prefix,comm)
diff -ur ../axiom-old/src/interp/msgdb.boot.pamphlet src/interp/msgdb.boot.pamphlet
--- ../axiom-old/src/interp/msgdb.boot.pamphlet	2005-01-05 01:05:36.000000000 +0100
+++ src/interp/msgdb.boot.pamphlet	2005-03-24 18:35:57.886033056 +0100
@@ -28,7 +28,7 @@
    %ceon       turn on centering
    %d          turn off bright printing
    %f          user defined printing
-   %i          start indentation of 3 more spaces
+   %I          start indentation of 3 more spaces -- (2005) changed from %i (avoid conflict with complex i) 
    %l          start a new line
    %m          math-print an expression
    %rjoff      turn off right justification (actually ragged left)
@@ -254,7 +254,7 @@
   NREVERSE msg1
 
 
-SETANDFILEQ($msgdbPrims,'( %b %d %l %i %u %U %n %x %ce %rj "%U" "%b" "%d" "%l" "%i" "%u" "%U" "%n" "%x" "%ce" "%rj"))
+SETANDFILEQ($msgdbPrims,'( %b %d %l %I %u %U %n %x %ce %rj "%U" "%b" "%d" "%l" "%I" "%u" "%U" "%n" "%x" "%ce" "%rj"))
 SETANDFILEQ($msgdbPunct,'(_. _, _! _: _; _? _] _)  "." "," "!" ":" ";" "?" "]" ")"  ))
 SETANDFILEQ($msgdbNoBlanksBeforeGroup,['" ", " ", '"%", "%",_
                             :$msgdbPrims, :$msgdbPunct])
@@ -289,8 +289,8 @@
   blanks := ['" "," "]
   haveBlank := NIL
   prims :=
-    '(%b %d %l %i %u %m %ce %rj _
-     "%b" "%d" "%l" "%i" "%m" "%u" "%ce" "%rj")
+    '(%b %d %l %I %u %m %ce %rj _
+     "%b" "%d" "%l" "%I" "%m" "%u" "%ce" "%rj")
   msg1 := NIL
   for x in msg repeat
     if haveBlank and ((x in blanks) or (x in prims)) then
@@ -512,7 +512,7 @@
         actualMarg := potentialMarg
         nl := [f,'%l,:nl]
         lnl := 199999
-      f in '("%i" %i ) =>
+      f in '("%I" %I ) =>
         potentialMarg := potentialMarg + 3
         nl := [f,:nl]
       PAIRP(f) and CAR(f) in '("%t" %t) =>
@@ -652,7 +652,7 @@
   x = '"%l" =>
     sayNewLine()
     for i in 1..$MARG repeat sayString '" "
-  x = '"%i" =>
+  x = '"%I" =>
     $MARG := $MARG + 3
   x = '"%u" =>
     $MARG := $MARG - 3
@@ -679,7 +679,7 @@
   x = '"%l" =>
     sayString('"\\")
     for i in 1..$MARG repeat sayString '"\ "
-  x = '"%i" =>
+  x = '"%I" =>
     $MARG := $MARG + 3
   x = '"%u" =>
     $MARG := $MARG - 3
</pre>
--
forwarded from http://page.axiom-developer.org/zope/mathaction/132SeriesExpansionWithComplexDoesntPrintExpansionPointInTypeExpression#msg20050324133844-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#122 Handling of power series] 
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

++added:
See also

  #132 -- Series expansion with complex doesn't print expansion point in type expression

--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050324144829-0600@page.axiom-developer.org



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Date: Thu, 24 Mar 2005 17:25:56 -0500
From: Balbir Thomas <thomasb@math.ohio-state.edu>
To: axiom-developer@nongnu.org
Subject: Re: [Axiom-developer] build failure on Debian Woody Solved -- Stray
	symbols in src/algebra/Makefile ! ??
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Hi,

>As Bill Page pointed out the problem is not in noweb
>but in a shell script embedded in the src/algebra/Makefile.pamphlet
>and the semantics of awk.
>
>Which version of awk are you using? The configure script tries
>to figure out which one you have. It prefers gawk, then nawk, and
>defaults to awk. You can specify a particular awk version on the
>command line thus:
>
I was using the version 3.1.0 of Gawk . The testing/unstable version
of gawk is 3.1.4. I have compiled this for debian stable and will
install and try to build again. This should tell us if gawk is 
the only problem. 

I was planning on making available the compiled deb packages for
others who use debian stable. So I hope gawk's new version is
not needed beyond compilation.

>make AWK=/usr/local/bin/gawk
>
>We'll fix the makefile shell script at the next update (expected
>on april 1).
>

Looks like build failed again with the error :
BOOT>cp: cannot create regular file
`/home/bt/archive/axiom/mnt/linux/algebra/RETRACT-.NRLIB/code.o': No such file
or directory
make[4]: *** [/home/bt/archive/axiom/int/algebra/RETRACT-.NRLIB/code.o] Error 1
make[4]: Leaving directory `/home/bt/archive/axiom/src/algebra'
make[3]: *** [algebradir] Error 2
make[3]: Leaving directory `/home/bt/archive/axiom/src'
make[2]: *** [srcdir] Error 2
make[2]: Leaving directory `/home/bt/archive/axiom'
make[1]: *** [all] Error 2
make[1]: Leaving directory `/home/bt/archive/axiom'
make: *** [build-stamp] Error 2

This error occurs even though the file
/home/bt/archive/axiom/int/algebra/RETRACT-.NRLIB/code.o exists !

Rather than try to spend another day or two to figure out what is going on
I shall first try to build with the new gawk as it takes many hours to build
on my system. Hopefully this is another manifestation of gawk problems.

regards
b thomas



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Date: Thu, 24 Mar 2005 19:03:17 -0500
From: Balbir Thomas <thomasb@math.ohio-state.edu>
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Subject: [Axiom-developer] *.NRLIB directories not created under ${OUT}
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Hi,

As mentioned in my previous mail there is another error that
occurs when building axiom on Debian/woody :

BOOT>cp: cannot create regular file
`/home/bt/archive/axiom/mnt/linux/algebra/RETRACT-.NRLIB/code.o': No such file
or directory
make[4]: *** [/home/bt/archive/axiom/int/algebra/RETRACT-.NRLIB/code.o] Error 1
make[4]: Leaving directory `/home/bt/archive/axiom/src/algebra'
make[3]: *** [algebradir] Error 2
make[3]: Leaving directory `/home/bt/archive/axiom/src'
make[2]: *** [srcdir] Error 2
make[2]: Leaving directory `/home/bt/archive/axiom'
make[1]: *** [all] Error 2
make[1]: Leaving directory `/home/bt/archive/axiom'
make: *** [build-stamp] Error 2

I think this is when src/algebra/Makefile is trying to process the rule:

${OUT}/%.o: ${MID}/%.NRLIB/code.o
        @ echo generic 1 -- making ${OUT}/$*.o from ${MID}/$*.NRLIB
        @ cp ${MID}/$*.NRLIB/code.o ${OUT}/$*.o


The problem is that ${OUT}/*.NRLIB directories have not been created at this
point so copying into them fails. I can't find were (which makefile) was 
supposed to create these directories. 

sincerely
b thomas



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From: Balbir Thomas <thomasb@math.ohio-state.edu>
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Subject: [Axiom-developer] Debian/Woody Build failure even with Gawk 3.1.4 [
	long mail ]
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Hi,
The old problem of stray backslashes in src\algebra\Makefile
still occurs with the Debian testing/unstable version
of gawk (version 3.1.4) used on Debian/Stable platform.
The make version is 3.79.1. Make version on Debian/testing
stable is 3.80. Hence it is still not clear to me why
axiom can be built on Debian testing/unstable but not
on stable. There are no apparent build dependencies that
can not be fulfilled on Stable. 

Here is the same error message :

make[4]: *** No rule to make target
`/home/bt/archive/axiom-20050201/int/algebra/ABELGRP.o', needed by
`src'.  Stop.
make[4]: Leaving directory `/home/bt/archive/axiom-20050201/src/algebra'
make[3]: *** [algebradir] Error 2
make[3]: Leaving directory `/home/bt/archive/axiom-20050201/src'
make[2]: *** [srcdir] Error 2
make[2]: Leaving directory `/home/bt/archive/axiom-20050201'
make[1]: *** [all] Error 2
make[1]: Leaving directory `/home/bt/archive/axiom-20050201'
make: *** [build-stamp] Error 2

Here is some sample lines from src/algebra/Makefile

\${MID}/ABELGRP.spad: \${IN}/catdef.spad.pamphlet
        \${TANGLE} -R"category ABELGRP AbelianGroup" \${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP.spad

\${MID}/ABELGRP.lsp: \${IN}/catdef.spad.pamphlet
        \${TANGLE} -R"ABELGRP.lsp BOOTSTRAP" \${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP.lsp

\${MID}/ABELGRP-.lsp: \${IN}/catdef.spad.pamphlet
        \${TANGLE} -R"ABELGRP-.lsp BOOTSTRAP" \${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP-.lsp


Also some very unusual behaviour with the build process when I do edit
src/algebra/Makefile to remove all backslashes before dollar signs.
On doing so the build can be restarted and all of algebra is built 
even the tests are run but then (as pointed out before) build fails 
with and error message :

BOOT>cp: cannot create regular file
`/home/bt/archive/axiom/mnt/linux/algebra/RETRACT-.NRLIB/code.o': No
such file or directory
make[4]: *** [/home/bt/archive/axiom/int/algebra/RETRACT-.NRLIB/code.o]
Error 1

The strange thing is that if I restart the build it continues one step
further every time I restart it. 

For instance after staring the build two or there time it now fails at

BOOT>cp: cannot create regular file
`/home/bt/archive/axiom/mnt/linux/algebra/ELTAGG-.NRLIB/code.o': No such
file or directory
make[4]: *** [/home/bt/archive/axiom/int/algebra/ELTAGG-.NRLIB/code.o]
Error 1

Then at :

BOOT>cp: cannot create regular file
`/home/bt/archive/axiom/mnt/linux/algebra/IEVALAB-.NRLIB/code.o': No
such file or directory
make[4]: *** [/home/bt/archive/axiom/int/algebra/IEVALAB-.NRLIB/code.o]
Error 1

and so on.

Now the build rule for this step is (if I understand correctly)

${OUT}/%.o: ${MID}/%.NRLIB/code.o
        @ echo generic 1 -- making ${OUT}/$*.o from ${MID}/$*.NRLIB
        @ cp ${MID}/$*.NRLIB/code.o ${OUT}/$*.o

where the variables are being defined as 
MID=${INT}/algebra
OUT=${MNT}/${SYS}/algebra

This means $* in the copy statement was translated as
RETRACT-.NRLIB/code !!!. But when the build was  restarted it did check
for the RETRACT.o in ${OUT} which was there from before (?) and so it 
went on to the next step. 

This is weird as hell :-) ! I doubt this is some serious corruption of
my linux distribution as I generally try to keep a clean Debian/Stable
distribution. Sould someone like to inspect I can put the whole
directory tree of the current state of axiom build online on my
homepage.

I'll continue working on this as time permits and see if I can figure out anything else.
I hope you will kindly bear with the nuisance of me posting about my successes or
failures :-). Though if some axiom developer is trying to build on
Debian/Stable I'll stop, as I am sure he/she is more able than me to
figure this out.

sincerely
b thomas




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Changes http://page.axiom-developer.org/zope/mathaction/131AwkBackslashCausesFailureInSrcAlgebraMakefile/diff
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--removed:
-

--
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To: Balbir Thomas <thomasb@math.ohio-state.edu>
Subject: Re: [Axiom-developer] Debian/Woody Build failure even with Gawk 3.1.4
	[ long mail ]
References: <20050325021658.GA9147@scientificcomputing.net>
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Greetings, and thanks for looking into this!  I suppose you want to
post on backports.org?

The Debian package builds with an external GCL, and the axiom
Build-Deps say gcl (>= 2.6.5-1).  The version of GCL in stable is
2.5.0....  Have you backported gcl too?

If so, perhaps you could post your full build log somewhere and I'll
look into it.

If you get stuck, and there is demand, I suppose I could do the
backport too as I have everything setup.  But it seems like sarge is
around the corner.

Take care,

Balbir Thomas <thomasb@math.ohio-state.edu> writes:

> Hi,
> The old problem of stray backslashes in src\algebra\Makefile
> still occurs with the Debian testing/unstable version
> of gawk (version 3.1.4) used on Debian/Stable platform.
> The make version is 3.79.1. Make version on Debian/testing
> stable is 3.80. Hence it is still not clear to me why
> axiom can be built on Debian testing/unstable but not
> on stable. There are no apparent build dependencies that
> can not be fulfilled on Stable. 
> 
> Here is the same error message :
> 
> make[4]: *** No rule to make target
> `/home/bt/archive/axiom-20050201/int/algebra/ABELGRP.o', needed by
> `src'.  Stop.
> make[4]: Leaving directory `/home/bt/archive/axiom-20050201/src/algebra'
> make[3]: *** [algebradir] Error 2
> make[3]: Leaving directory `/home/bt/archive/axiom-20050201/src'
> make[2]: *** [srcdir] Error 2
> make[2]: Leaving directory `/home/bt/archive/axiom-20050201'
> make[1]: *** [all] Error 2
> make[1]: Leaving directory `/home/bt/archive/axiom-20050201'
> make: *** [build-stamp] Error 2
> 
> Here is some sample lines from src/algebra/Makefile
> 
> \${MID}/ABELGRP.spad: \${IN}/catdef.spad.pamphlet
>         \${TANGLE} -R"category ABELGRP AbelianGroup" \${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP.spad
> 
> \${MID}/ABELGRP.lsp: \${IN}/catdef.spad.pamphlet
>         \${TANGLE} -R"ABELGRP.lsp BOOTSTRAP" \${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP.lsp
> 
> \${MID}/ABELGRP-.lsp: \${IN}/catdef.spad.pamphlet
>         \${TANGLE} -R"ABELGRP-.lsp BOOTSTRAP" \${IN}/catdef.spad.pamphlet>\${MID}/ABELGRP-.lsp
> 
> 
> Also some very unusual behaviour with the build process when I do edit
> src/algebra/Makefile to remove all backslashes before dollar signs.
> On doing so the build can be restarted and all of algebra is built 
> even the tests are run but then (as pointed out before) build fails 
> with and error message :
> 
> BOOT>cp: cannot create regular file
> `/home/bt/archive/axiom/mnt/linux/algebra/RETRACT-.NRLIB/code.o': No
> such file or directory
> make[4]: *** [/home/bt/archive/axiom/int/algebra/RETRACT-.NRLIB/code.o]
> Error 1
> 
> The strange thing is that if I restart the build it continues one step
> further every time I restart it. 
> 
> For instance after staring the build two or there time it now fails at
> 
> BOOT>cp: cannot create regular file
> `/home/bt/archive/axiom/mnt/linux/algebra/ELTAGG-.NRLIB/code.o': No such
> file or directory
> make[4]: *** [/home/bt/archive/axiom/int/algebra/ELTAGG-.NRLIB/code.o]
> Error 1
> 
> Then at :
> 
> BOOT>cp: cannot create regular file
> `/home/bt/archive/axiom/mnt/linux/algebra/IEVALAB-.NRLIB/code.o': No
> such file or directory
> make[4]: *** [/home/bt/archive/axiom/int/algebra/IEVALAB-.NRLIB/code.o]
> Error 1
> 
> and so on.
> 
> Now the build rule for this step is (if I understand correctly)
> 
> ${OUT}/%.o: ${MID}/%.NRLIB/code.o
>         @ echo generic 1 -- making ${OUT}/$*.o from ${MID}/$*.NRLIB
>         @ cp ${MID}/$*.NRLIB/code.o ${OUT}/$*.o
> 
> where the variables are being defined as 
> MID=${INT}/algebra
> OUT=${MNT}/${SYS}/algebra
> 
> This means $* in the copy statement was translated as
> RETRACT-.NRLIB/code !!!. But when the build was  restarted it did check
> for the RETRACT.o in ${OUT} which was there from before (?) and so it 
> went on to the next step. 
> 
> This is weird as hell :-) ! I doubt this is some serious corruption of
> my linux distribution as I generally try to keep a clean Debian/Stable
> distribution. Sould someone like to inspect I can put the whole
> directory tree of the current state of axiom build online on my
> homepage.
> 
> I'll continue working on this as time permits and see if I can figure out anything else.
> I hope you will kindly bear with the nuisance of me posting about my successes or
> failures :-). Though if some axiom developer is trying to build on
> Debian/Stable I'll stop, as I am sure he/she is more able than me to
> figure this out.
> 
> sincerely
> b thomas
> 
> 
> 
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

++added:
)di type a
--------------------------


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Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSS/diff
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>
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>
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<title>&dtml-Title;</title>
<link>&dtml-wikiUrl;/&dtml.url_quote-id;</link>
<description><!![CDATA[<dtml-var "getObject().summary(1000) #summary #<-- from brain">]]></description>
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RSS feed for MathAction

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Based on http://zopewiki.org/ZopeWikiRSS.


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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
The previous patch change the resolved type. It's internally cached and resolveTTspecial is only invoked once.
--
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
After the above patch applied one bug remain:
<pre>
1.0::UnivariatePuiseuxSeries(Expression Float,x,0.0) added to .axiom.input
</pre>
Anybody here ?
--
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

??changed:
-Now type a*1.0, restart do the same and type 1.0*a.
Now type 
<pre>
a*1.0
</pre>
restart do the same and type 
<pre>
1.0*a
</pre>

??changed:
-You can do a*b restart do the same and b*a. This process of coercion involve some strange type and axiom coerce sometimes to
You can type:
<pre>
a*b
</pre>
restart do the same type
<pre>
b*a
</pre>
This process of coercion involve some strange type and axiom coerce sometimes to

--removed:
-

--
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Well, considering that it appears to be useful I've registered the
axiom-developer.org domain name for the next 9 years. Looks like
we're in it for the long haul :-)

Tim



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Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSS/diff
--

??changed:
-RSS feed for MathAction
-
- <a href="http://feedvalidator.org/check.cgi?url=http://page.axiom-developer.org/zope/mathaction/FrontPage/rss"><img border="0" src="valid-rss.png" alt="[Valid RSS]" title="Validate my RSS feed" width="88" height="31" /></a>
<a href="http://page.axiom-developer.org/zope/mathaction/pages_rss"
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RSS feed <img src="xml.gif"></a> for MathAction

RSS (an acronym for "Rich Site Summary" and later coined "Really Simple Syndication") is a way for web sites to summarize their content...

For information about RSS see:

  - http://www.mozilla.org/products/firefox/live-bookmarks.html

  - http://www.redhat.com/magazine/005mar05/features/rss/

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++added:


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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
In axiom the cercion of power series is really strange:
  . ExpressionToUnivariatePowerSeries (function: series,taylor,laurent...) return Any type. 
  . When this Any type is printed, the series is coerced. For example to UnivariatePuiseuxSeries.
  . This process of coercion is strange.
I will give some hint to understand this. First here is the actions that you have to do for a better understanding of this bug.
Here the interpreter has to coerce the series (EXPR (INT OR OTHER)), the variable  and the expansion point in type.
In Axiom trace all these functions: P2Uls P2Upxs P2Uts Expr2Up NDmp2domain Var2OtherPS Var2QF P2Us canCoerceLocal coerceIntTableOrFunction coerceIntTower canCoerce1 canCoerceTower canCoerce canCoerceFrom resolveTT1 resolveTTSpecial (you can had HasCate hasCaty hasCaty1 hasCate1 if you want to better understand
ofCategory bug (not parameterized ?)
<pre>
)tr P2Uls 
)tr P2Upxs 
)tr P2Uts 
)tr Expr2Up 
)tr NDmp2domain
)tr Var2OtherPS
)tr Var2QF
)tr P2Us
)tr canCoerceLocal
)tr coerceIntTableOrFunction
)tr coerceIntTower
)tr canCoerce1
)tr canCoerceTower
)tr canCoerce
)tr canCoerceFrom
)tr resolveTT1
)tr coerceInt
)tr algEqual
)tr resolveTTSpecial
</pre>
Now you can create power series integer: 
<pre>
a:=series(sin(x))
</pre>
Beware axiom will crash.
Now type a*1.0, restart do the same and type 1.0*a.
You will see that axiom in this process do not coerce all type (for example sometimes 0.0 (expansion point) remain Integer but of type EXPR FLOAT).
<pre>
Normally:
x in type is of type Symbol
0.0 (expansion point is of type Expression (type of internal representation of the power series). For example: EXPR FLOAT.
</pre>
Now you can restart and create 2 power series, one with integer the other with float:
<pre>
a:=series(sin(x))
Coerce it (see above):
a:= a::UnivariatePuiseuxSeries(Expression Integer,x,0)
b:= a::UnivariatePuiseuxSeries(Expression Float,x,0.0)
</pre>
You can do a*b restart do the same and b*a. This process of coercion involve some strange type and axiom coerce sometimes to
UnivariatePuiseuxSeries(UnivariatePuiseuxSeries) etc ...
This and the expansion point not really coerced trigger bug.
In boot code there is a function resolveTTSpecial and its commentary:
<pre>
  -- tries to resolve things that would otherwise get mangled in the
  -- rest of the resolve world. I'll leave it for Albi to fix those
  -- things. (RSS 1/-86)
</pre>
In this patch I use this function to express the resolved type. It' a temporary hack and I'm not sure that this patch is correct (see the code).
Second, I add two other tests: I check the equality of the Symbol(s) and the two expansion points.
Test it, check it, enhance it.
  Regards


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Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit/diff
--
<dtml-let
 wikiUrl=wikiUrl
 pages=pages 
>
<?xml version="1.0"?>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:sy="http://purl.org/rss/1.0/modules/syndication/"
xmlns="http://purl.org/rss/1.0/"
>
<channel rdf:about="&dtml-wikiUrl;">
<title>zopewiki.org : changed pages</title>
<link>&dtml-wikiUrl;</link>
<description>
zopewiki.org : changed pages
</description>
<sy:updatePeriod>daily</sy:updatePeriod>
<sy:updateFrequency>1</sy:updateFrequency>
<sy:updateBase>2004-04-24T16:54:03Z</sy:updateBase>
<items>
<rdf:Seq>
<dtml-in pages sort=last_edit_time reverse size=15>
<dtml-if "not('SandBox' in getObject().ancestorsAsList())">
<rdf:li resource="&dtml-wikiUrl;/&dtml.url_quote-id;" />
</dtml-if>
</dtml-in>
</rdf:Seq>
</items>
</channel>
<dtml-in pages sort=last_edit_time reverse size=15>
<dtml-if "not('SandBox' in getObject().ancestorsAsList())">
<item rdf:about="&dtml-wikiUrl;/&dtml.url_quote-id;">
<title>&dtml-Title;</title>
<link>&dtml-wikiUrl;/&dtml.url_quote-id;</link>
<description>
<![CDATA[Edited by  : &dtml-last_editor;<br />
Edited at  : &dtml-last_edit_time;<br />
Change note: &dtml-last_log;<br />]]></description>
</item>
</dtml-if>
</dtml-in>
</rdf:RDF>
</dtml-let>
<hr>

RSS feed for MathAction Edits

 This page generates an
"RSS feed":http://page.axiom-developer.org/zope/mathaction/changes_rss
or **recently modified pages**, showing the title, editor name, edit
time and the change note.

 <a href="http://feedvalidator.org/check.cgi?url=http://page.axiom-developer.org/zope/mathaction/changes_rss">
<img border="0" src="valid-rss.png" alt="[Valid RSS]" title="Validate my RSS feed" width="88" height="31" ></a>


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Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSS/diff
--

++added:
News Feeds

  ... are a convenient way to keep up to date:

++added:
  alt="News Feed" title="Bookmark this feed">
  New Pages <img src="xml.gif"></a> for MathAction

  You can also keep track of edits and updates using:
<a href="http://page.axiom-developer.org/zope/mathaction/changes_rss"

??changed:
-RSS feed <img src="xml.gif"></a> for MathAction
 Recent Changes <img src="xml.gif"></a> for MathAction

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Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--

??changed:
-- Please join [the Axiom Community]!
- Please join [the Axiom Community]! And keep up to date with MathActionRSS
  <a href="changes_rss" alt="News Feed" title="Bookmark this news feed">
  <img src="xml.gif" /></a>

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Changes http://page.axiom-developer.org/zope/mathaction/AxiomContributions/diff
--
Change in root of application to pacth (for example with gcl cd gcl-2.6.*) and type cat "*.patch |patch -p0
If this doesn't work type cat "*.patch |patch -p1
<pre>
p0 or p1 depend of your place in the tree
</pre>

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Subject: [Axiom-developer] [#122 Handling of power series] please explain
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
I don't understand what you mean by reference to .axiom.input?
In what way is this file involved with the bug?  Please give a
detailed description and example of the remaining bug.

Did you intend to upload an example file called .axiom.input?
To do that you  must use 'edit'. If you do this, I suggest
that you choose a more descriptive and unique file name.
--
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomContributions/diff
--
Here is a serie of patch to enhance computation that involves fraction integer.
Do
<pre>
download gcl source, decompress this archive apply gcl.patch (this patch come from gcl-2.6.5 but can probably be applied on 2.6.6).
recompress gcl, copy it to zips directory  (keep the same name)
remove gcldir and gcl-2.6.* in lsp directory
patch the interpreter with interp.patch. (change behavior of coercion of fraction(integer))
patch fraction.spad.pamphlet (handle fraction(integer) as integer i.e by gcl)
remove mnt/linux/algebra/FRAC.o, int/algebra/FRAC.NRLIB/code.o and int/algebra/FRAC.spad
type make
remove mnt/linux/algebra/FRAC.o, int/algebra/FRAC.NRLIB/code.o and int/algebra/FRAC.spad
type touch src/algebra/fraction.spad.pamphlet or open it in an editor and resave it
type make
Have fun
</pre>

This involve one patch (gcl.patch) backported from gcl-2.7.0-cvs. It 's a request made for use algorithm from libgmp in cancellation of
gcd in fraction.
Copying of this patch is GNU LIBRARY GENERAL PUBLIC LICENSE       Version 2, June 1991

--
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomContributions/diff
--

??changed:
-Change in root of application to pacth (for example with gcl cd gcl-2.6.*) and type cat "*.patch |patch -p0
-If this doesn't work type cat "*.patch |patch -p1
Change in root of application to patch (for example with gcl cd gcl-2.6.5) and type cat gcl.patch |patch -p0
If this doesn't work type cat gcl.patch |patch -p1

??changed:
-p0 or p1 depend of your place in the tree
p0 or p1 depends of your place in the tree

--
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomContributions/diff
--
This patch is just a code optimization and not a mathematical optimization (algorithm)
matrix(FRAC INT,50,50) * matrix(FRAC INT,50,50):
<pre>
before: 3.17 sec
after:  0.83 sec
</pre>
Factor: 3.8192771084
Check it, test it and enhance it, Have fun and regards
--
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	coercion in the file .axiom.input
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
If you add this text to the file .axiom.input (interpreted at the start of axiom) you will crash axiom:
<pre>
1.0::UnivariatePuiseuxSeries(Expression Float,x,0.0
</pre>
Regards
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	expansion point in type expression] Name of this issue
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Changes http://page.axiom-developer.org/zope/mathaction/132SeriesExpansionWithComplexDoesntPrintExpansionPointInTypeExpression/diff
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Bill, I think you can change the name of this issue. The problem concerns expansion point that involve binary operator too (for example 1+3*i).
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Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSS/diff
--

??changed:
-<title>zopewiki.org : new pages</title>
<title>MathAction Axiom : new pages</title>

??changed:
-zopewiki.org : new pages
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--
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Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit/diff
--

??changed:
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<title>MathAction Axiom : changed pages</title>

??changed:
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Changes http://page.axiom-developer.org/zope/mathaction/UserInterface/diff
--

++added:
  - [jEdit] http://www.jedit.org

    jEdit is a mature and well-designed programmer's text editor with over
    7 years of development behind it. While jEdit beats many expensive
    development tools for features and ease of use, it is released as free
    software with full source code, provided under the terms of the GNU
    General Public License. 

    - runs on Mac OS X, OS/2, Unix (linux), VMS and Windows

    - Folding and outlining for selectively hiding or expanding complex
      parts of of the text or program code <b><font color="green">
      - Works with both SPAD indented (pile) code and Aldor block structures
      </font></b>

    - supports file transfer and remote edit via SSH using SSH2 and SFTP

    - allows the user to run text from a buffer through an external process
      and capture the output (Hey, just like emacs :). <b><font color="green">
      - Works with Axiom! And on Windows too.</font></b>

    - very extensible and under active development.



--
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Changes http://page.axiom-developer.org/zope/mathaction/JEdit/diff
--
Outline

  See website: http://sourceforge.net/projects/jedit and http://www.jedit.org

  Quick start guide: http://www.jedit.org/index.php?page=quickstart

  Users Guide : http://prdownloads.sourceforge.net/jedit/jedit42manual-letter.pdf

- How to install

  - Requires Java virtual machine

  - On Windows (JRE 2.5 recommended on Windows)

  - On Linux

- What optional plug-ins to add

  - what's needed for running Axiom

    http://plugins.jedit.org/plugins/?TextFilter

  - Also supports LaTeX and probably can be made to work with noweb
    and Axiom pamphlet files.

    http://plugins.jedit.org/plugins/?LaTeXTools

    http://plugins.jedit.org/plugins/?SideKick

  - SFTP

    http://plugins.jedit.org/plugins/?FTP



  




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root <daly@axiom-developer.org> writes:

| Well, considering that it appears to be useful I've registered the
| axiom-developer.org domain name for the next 9 years. Looks like
| we're in it for the long haul :-)

awesome!

-- Gaby



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomContributions/diff
--
Bill, Can you make a new page for this?
This looks strange... tested for several months.

--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomContributions#msg20050325191622-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomContributions/diff
--
seems that the changes to axiom only work with gcl. Is this correct? J Weiss
--
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Subject: [Axiom-developer] Debian/Stable Packages Built + Summary of issues
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Hi,
I did manage to build packages for Debian/Woody (Stable).
I have uploaded these at
http://www.scientificcomputing.net/debian/packages/axiom
I will try and keep this till sarge is released.  These
are on my home computer  so downloads may be slow. But I
doubt many wanting axiom on debian will insist on  using
stable :-)

I have not extensively tested this other than running a
few examples from the hypertex browser. But will ofcourse
be using it till sarge comes around.

There are essentially two issues in building axiom on 
debian stable.

1) The occurance of stray backslash characters in 
   src/algebra/Makefile  (i.e. \$ instead of $).
   Build progresses after making substitutions:
   's/\\\$/$/g'

2) Directories of the forms *.NRLIB are not created
   in mnt/linux/algebra. The is the second point
   where build fails. On creating these directories
   manually the  build progresses to completion.

   This failure corresponds to the pattern rule
   for "${MID}/%.o: ${MID}/%.lsp" in 
   src/algebra/Makefile

   (Please disregard what I said about the second
    failure in my previous mails, I was sleepy
    and confused as hell :-)

Two files build1.log and build2.log  at the above url
are the build logs ending in the first and second 
build failure.

Finally, thank you for all your paitence and efforts.

sincerely
b thomas



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Changes http://page.axiom-developer.org/zope/mathaction/133MissingBeginQuoteInChapterOnUsingTypesAndModes/diff
--
There should be a \begin{quote} below
line 6840 of book.pamphlet i.e. at the
begining of chapter on "Using Types and Modes"
--
forwarded from http://page.axiom-developer.org/zope/mathaction/133MissingBeginQuoteInChapterOnUsingTypesAndModes#msg20050326053209-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomContributions/diff
--
Work with all implementations of common lisp. I use lisp rational. I just asked to change some algorithms (euclidean) in gcl.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomContributions#msg20050326060215-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/134Suse92PreviousVersionOK/diff
--
gcc -c -Wall -DVOL=volatile -fsigned-char -pipe -O3 -fomit-frame-pointer  -I/home/dsa/axiom/lsp/gcl-2.6.5/o -I../h -I../gcl-tk sfasl.c
In file included from sfasl.c:40:
sfaslbfd.c: In function `fasload':
sfaslbfd.c:266: error: structure has no member named `_raw_size'
sfaslbfd.c:291: error: structure has no member named `_raw_size'
sfaslbfd.c:356: error: structure has no member named `_raw_size'
make[4]: *** [sfasl.o] Error 1

------------------

gcc -v
Reading specs from /usr/lib/gcc-lib/i586-suse-linux/3.3.4/specs
Configured with: ../configure --enable-threads=posix --prefix=/usr --with-local-prefix=/usr/local --infodir=/usr/share/info --mandir=/usr/share/man --enable-languages=c,c++,f77,objc,java,ada --disable-checking --libdir=/usr/lib --enable-libgcj --with-gxx-include-dir=/usr/include/g++ --with-slibdir=/lib --with-system-zlib --enable-shared --enable-__cxa_atexit i586-suse-linux
Thread model: posix
gcc version 3.3.4 (pre 3.3.5 20040809)


--
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Changes http://page.axiom-developer.org/zope/mathaction/135Suse92PreviousVersionOK/diff
--
gcc -c -Wall -DVOL=volatile -fsigned-char -pipe -O3 -fomit-frame-pointer  -I/home/dsa/axiom/lsp/gcl-2.6.5/o -I../h -I../gcl-tk sfasl.c
In file included from sfasl.c:40:
sfaslbfd.c: In function `fasload':
sfaslbfd.c:266: error: structure has no member named `_raw_size'
sfaslbfd.c:291: error: structure has no member named `_raw_size'
sfaslbfd.c:356: error: structure has no member named `_raw_size'
make[4]: *** [sfasl.o] Error 1

------------------

gcc -v
Reading specs from /usr/lib/gcc-lib/i586-suse-linux/3.3.4/specs
Configured with: ../configure --enable-threads=posix --prefix=/usr --with-local-prefix=/usr/local --infodir=/usr/share/info --mandir=/usr/share/man --enable-languages=c,c++,f77,objc,java,ada --disable-checking --libdir=/usr/lib --enable-libgcj --with-gxx-include-dir=/usr/include/g++ --with-slibdir=/lib --with-system-zlib --enable-shared --enable-__cxa_atexit i586-suse-linux
Thread model: posix
gcc version 3.3.4 (pre 3.3.5 20040809)


--
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Changes http://page.axiom-developer.org/zope/mathaction/134Suse92PreviousVersionOK/diff
--
gcc -c -Wall -DVOL=volatile -fsigned-char -pipe -O3 -fomit-frame-pointer  -I/home/dsa/axiom/lsp/gcl-2.6.5/o -I../h -I../gcl-tk sfasl.c
In file included from sfasl.c:40:
sfaslbfd.c: In function `fasload':
sfaslbfd.c:266: error: structure has no member named `_raw_size'
sfaslbfd.c:291: error: structure has no member named `_raw_size'
sfaslbfd.c:356: error: structure has no member named `_raw_size'
make[4]: *** [sfasl.o] Error 1

------------------

gcc -v
Reading specs from /usr/lib/gcc-lib/i586-suse-linux/3.3.4/specs
Configured with: ../configure --enable-threads=posix --prefix=/usr --with-local-prefix=/usr/local --infodir=/usr/share/info --mandir=/usr/share/man --enable-languages=c,c++,f77,objc,java,ada --disable-checking --libdir=/usr/lib --enable-libgcj --with-gxx-include-dir=/usr/include/g++ --with-slibdir=/lib --with-system-zlib --enable-shared --enable-__cxa_atexit i586-suse-linux
Thread model: posix
gcc version 3.3.4 (pre 3.3.5 20040809)


--
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Changes http://page.axiom-developer.org/zope/mathaction/Yacas/diff
--
<p>From Yacas' <a href="yacas.sourceforge.net">web page</a>:
<blockquote>
 YACAS is an easy to use, general purpose Computer Algebra System, a program for symbolic manipulation of mathematical expressions. It uses its own programming language designed for symbolic as well as arbitrary-precision numerical computations. The system has a library of scripts that implement many of the symbolic algebra operations; new algorithms can be easily added to the library. YACAS comes with extensive documentation (320+ pages) covering the scripting language, the functionality that is already implemented in the system, and the algorithms we used.
</blockquote>
</p>

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Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--
Hello,  I followed the directions for using the binary for redhat 9, axiom-Feb2005-Redhat9-bin.tgz and I consistently get the message:  /home/axiom/mnt/linux/bin/axiom: line 1: hostname: command not found
The directory for Axiom, /home/axiom--main--1--patch-29/mnt/linux, does not exist.
Goodbye.

What's wrong?
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--
Check the first couple lines of the axiom command (use which axiom to find it).
Check that the AXIOM shell variable points to the right place.
(p.s. If you sign in I could help you directly. There is no identifying information here)
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forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomDownload#msg20050327101338-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#136 cercion of power series] (new) 
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Changes http://page.axiom-developer.org/zope/mathaction/136CercionOfPowerSeries/diff
--
Original Date: Fri, 25 Mar 2005 10:47:55 -0600

In axiom the cercion of power series is really strange:

  - ExpressionToUnivariatePowerSeries (function: series,taylor,laurent...) return Any type. 

  - When this Any type is printed, the series is coerced. For example to UnivariatePuiseuxSeries.

  - This process of coercion is strange.

I will give some hint to understand this. First here is the actions that you have to do for a better understanding of this bug.
Here the interpreter has to coerce the series (EXPR (INT OR OTHER)), the variable  and the expansion point in type.
In Axiom trace all these functions: P2Uls P2Upxs P2Uts Expr2Up NDmp2domain Var2OtherPS Var2QF P2Us canCoerceLocal coerceIntTableOrFunction coerceIntTower canCoerce1 canCoerceTower canCoerce canCoerceFrom resolveTT1 resolveTTSpecial (you can had HasCate hasCaty hasCaty1 hasCate1 if you want to better understand ofCategory bug (not parameterized ?) ::

  )tr P2Uls 
  )tr P2Upxs 
  )tr P2Uts 
  )tr Expr2Up 
  )tr NDmp2domain
  )tr Var2OtherPS
  )tr Var2QF
  )tr P2Us
  )tr canCoerceLocal
  )tr coerceIntTableOrFunction
  )tr coerceIntTower
  )tr canCoerce1
  )tr canCoerceTower
  )tr canCoerce
  )tr canCoerceFrom
  )tr resolveTT1
  )tr coerceInt
  )tr algEqual
  )tr resolveTTSpecial

Now you can create power series integer::

  a:=series(sin(x))

Beware axiom will crash.
Now type::

  a*1.0

restart do the same and type:

1.0*a

You will see that axiom in this process do not coerce all type (for example sometimes 0.0 (expansion point) remain Integer but of type EXPR FLOAT).
Normally::

  x in type is of type Symbol
  0.0 (expansion point is of type Expression (type of internal representation of the power series). For example: EXPR FLOAT.

Now you can restart and create 2 power series, one with integer the other with float::

  a:=series(sin(x))

Coerce it (see above)::

  a:= a::UnivariatePuiseuxSeries(Expression Integer,x,0)
  b:= a::UnivariatePuiseuxSeries(Expression Float,x,0.0)

You can type::

  a*b

restart do the same type::

  b*a

This process of coercion involve some strange type and axiom coerce sometimes to
UnivariatePuiseuxSeries(UnivariatePuiseuxSeries) etc ...
This and the expansion point not really coerced trigger bug.
In boot code there is a function resolveTTSpecial and its commentary::

  -- tries to resolve things that would otherwise get mangled in the
  -- rest of the resolve world. I'll leave it for Albi to fix those
  -- things. (RSS 1/-86)

In this patch I use this function to express the resolved type. It' a temporary hack and I'm not sure that this patch is correct (see the code).
Second, I add two other tests: I check the equality of the Symbol(s) and the two expansion points.
Test it, check it, enhance it.
  Regards

<a href="power-series.patch">power-series.patch</a>

>From unknown Fri Mar 25 11:03:14 -0600 2005
From: unknown
Date: Fri, 25 Mar 2005 11:03:14 -0600
Subject: This result is cached
Message-ID: <20050325110314-0600@page.axiom-developer.org>

The previous patch change the resolved type. It's internally cached and resolveTTspecial is only invoked once.

>From unknown Fri Mar 25 11:08:50 -0600 2005
From: unknown
Date: Fri, 25 Mar 2005 11:08:50 -0600
Subject: .axiom.input
Message-ID: <20050325110850-0600@page.axiom-developer.org>

After the above patch applied one bug remain:

If you add this text to the file .axiom.input (interpreted at
the start of axiom) you will crash axiom::

  1.0::UnivariatePuiseuxSeries(Expression Float,x,0.0

Regards
--
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

--removed:
---------------------------
-

--removed:
-

??changed:
- From trace:
-
- It seems that the interpreter doesn't coerce one args
- in Expression (Float):
-
- 1<enter valueArgsEqual? : (|UnivariatePuiseuxSeries| (|Expression| (|Integer|)) |x| 
>From trace it seems that the interpreter doesn't coerce one args
in Expression (Float)::

  1<enter valueArgsEqual? : (|UnivariatePuiseuxSeries| (|Expression| (|Integer|)) |x| 

??changed:
-
-...
  ...

??changed:
- 1<enter compiledLookupCheck : =\((|Boolean|) !$ $)\#<vector 08eccc78>
 1<enter compiledLookupCheck : =\((|Boolean|) !$ !$)\#<vector 08eccc78>

??changed:
- after SPADCALL (it's not traced) "=" in EXPR trigger the bug.
-
- algEqual : ((0 . 0) 0 . 1)\((0 0 . 0) 0 1 . 0)\(|Expression| (|Float|))
-           ^^^^^^^^^^^^^^^
after SPADCALL (it's not traced) "=" in EXPR trigger the bug::

  algEqual : ((0 . 0) 0 . 1)\((0 0 . 0) 0 1 . 0)\(|Expression| (|Float|))
             ^^^^^^^^^^^^^^^

??changed:
-From unknown Fri Mar 25 10:47:55 -0600 2005
-From: unknown
-Date: Fri, 25 Mar 2005 10:47:55 -0600
-Subject: PATCH: Temporary hack
-Message-ID: <20050325104755-0600@page.axiom-developer.org>
-
-In axiom the cercion of power series is really strange:
-  . ExpressionToUnivariatePowerSeries (function: series,taylor,laurent...) return Any type. 
-  . When this Any type is printed, the series is coerced. For example to UnivariatePuiseuxSeries.
-  . This process of coercion is strange.
-I will give some hint to understand this. First here is the actions that you have to do for a better understanding of this bug.
-Here the interpreter has to coerce the series (EXPR (INT OR OTHER)), the variable  and the expansion point in type.
-In Axiom trace all these functions: P2Uls P2Upxs P2Uts Expr2Up NDmp2domain Var2OtherPS Var2QF P2Us canCoerceLocal coerceIntTableOrFunction coerceIntTower canCoerce1 canCoerceTower canCoerce canCoerceFrom resolveTT1 resolveTTSpecial (you can had HasCate hasCaty hasCaty1 hasCate1 if you want to better understand
-ofCategory bug (not parameterized ?)
-<pre>
-)tr P2Uls 
-)tr P2Upxs 
-)tr P2Uts 
-)tr Expr2Up 
-[112 more lines...]


--
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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--

??changed:
-See also
See also:

??changed:
-
  #136 -- Coercion of power series

--
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??changed:
-From unknown Fri Mar 25 12:01:44 -0600 2005
-From: unknown
-Date: Fri, 25 Mar 2005 12:01:44 -0600
-Subject: Enhanced Fraction domain
-Message-ID: <20050325120144-0600@page.axiom-developer.org>
-
-Here is a serie of patch to enhance computation that involves fraction integer.
-Do
-<pre>
-download gcl source, decompress this archive apply gcl.patch (this patch come from gcl-2.6.5 but can probably be applied on 2.6.6).
-recompress gcl, copy it to zips directory  (keep the same name)
-remove gcldir and gcl-2.6.* in lsp directory
-patch the interpreter with interp.patch. (change behavior of coercion of fraction(integer))
-patch fraction.spad.pamphlet (handle fraction(integer) as integer i.e by gcl)
-remove mnt/linux/algebra/FRAC.o, int/algebra/FRAC.NRLIB/code.o and int/algebra/FRAC.spad
-type make
-remove mnt/linux/algebra/FRAC.o, int/algebra/FRAC.NRLIB/code.o and int/algebra/FRAC.spad
-type touch src/algebra/fraction.spad.pamphlet or open it in an editor and resave it
-type make
-[70 more lines...]
[Enhanced Fraction Domain]

--
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Changes http://page.axiom-developer.org/zope/mathaction/EnhancedFractionDomain/diff
--
It is not necessary to ask me to make a new page... but I did it for you
this time :)

What do you mean: "This looks strange"?

What has been "tested for several months"?

Please explain in detail.
--
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Changes http://page.axiom-developer.org/zope/mathaction/EnhancedFractionDomain/diff
--
Original Date: Fri, 25 Mar 2005 12:01:44 -0600

Here is a serie of patch to enhance computation that involves fraction integer.
Do
<pre>
download gcl source, decompress this archive apply gcl.patch (this patch come from gcl-2.6.5 but can probably be applied on 2.6.6).
recompress gcl, copy it to zips directory  (keep the same name)
remove gcldir and gcl-2.6.* in lsp directory
patch the interpreter with interp.patch. (change behavior of coercion of fraction(integer))
patch fraction.spad.pamphlet (handle fraction(integer) as integer i.e by gcl)
remove mnt/linux/algebra/FRAC.o, int/algebra/FRAC.NRLIB/code.o and int/algebra/FRAC.spad
type make
remove mnt/linux/algebra/FRAC.o, int/algebra/FRAC.NRLIB/code.o and int/algebra/FRAC.spad
type touch src/algebra/fraction.spad.pamphlet or open it in an editor and resave it
type make
Have fun
</pre>

This involve one patch (gcl.patch) backported from gcl-2.7.0-cvs. It 's a request made for use algorithm from libgmp in cancellation of
gcd in fraction.
Copying of this patch is GNU LIBRARY GENERAL PUBLIC LICENSE       Version 2, June 1991


<a href="gcl.patch">gcl.patch</a>


<a href="interp.patch">interp.patch</a>


<a href="fraction.patch">fraction.patch</a>


>From unknown Fri Mar 25 12:06:22 -0600 2005
From: unknown
Date: Fri, 25 Mar 2005 12:06:22 -0600
Subject: How to patch
Message-ID: <20050325120622-0600@page.axiom-developer.org>

Change in root of application to patch (for example with gcl cd gcl-2.6.5) and type cat gcl.patch |patch -p0
If this doesn't work type cat gcl.patch |patch -p1
<pre>
p0 or p1 depends of your place in the tree
</pre>


>From unknown Fri Mar 25 12:13:42 -0600 2005
From: unknown
Date: Fri, 25 Mar 2005 12:13:42 -0600
Subject: Timing
Message-ID: <20050325121342-0600@page.axiom-developer.org>

This patch is just a code optimization and not a mathematical optimization (algorithm)
matrix(FRAC INT,50,50) * matrix(FRAC INT,50,50):
<pre>
before: 3.17 sec
after:  0.83 sec
</pre>
Factor: 3.8192771084
Check it, test it and enhance it, Have fun and regards

>From unknown Sat Mar 26 04:03:05 -0600 2005
From: unknown
Date: Sat, 26 Mar 2005 04:03:05 -0600
Subject: New page
Message-ID: <20050326040305-0600@page.axiom-developer.org>
In-Reply-To: <20050325191622-0600@page.axiom-developer.org>

seems that the changes to axiom only work with gcl. Is this correct? J Weiss

>From unknown Sat Mar 26 06:02:15 -0600 2005
From: unknown
Date: Sat, 26 Mar 2005 06:02:15 -0600
Subject: No
Message-ID: <20050326060215-0600@page.axiom-developer.org>

Work with all implementations of common lisp. I use lisp rational. I just asked to change some algorithms (euclidean) in gcl.

>From unknown Fri Mar 25 19:16:22 -0600 2005
From: unknown
Date: Fri, 25 Mar 2005 19:16:22 -0600
Subject: New page
Message-ID: <20050325191622-0600@page.axiom-developer.org>

Bill, Can you make a new page for this?
This looks strange... tested for several months.


--
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Changes http://page.axiom-developer.org/zope/mathaction/EnhancedFractionDomain/diff
--
I work with this for 6 months.
<br/>
Strange : In axiom nearly all computations involve spad code. Here I use gcl.
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--
Hi, is there a possibility using the dvi-reader of e.g. the miktex developers which they have in their toolset? It would be definitely faster and smaller. 
;-)
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Changes http://page.axiom-developer.org/zope/mathaction/EnhancedFractionDomain/diff
--
What do you work with for 6 months? Do you mean this proposed patch?
Do you have any specific unit test programs to show that it works
properly?

Yes, Axiom library is written using spad code. Axiom itself,
including the spad compiler is written in lisp and one of the
versions of lisp that supports Axiom is GCL. This is not strange.

I wish you would take the time to explain what you are talking
about. Short sentences with no background background information
do not make any sense. I think your work deserves to be described
in detail so that other people will understand. Please provide a
detailed description.

--
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--
What do you mean that DVI viewer is faster? Faster than what?
For what purpose? What does this have to do with AxiomDownload?
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Mark,

The sequence of updates is
  local disk -> 
    arch branch -> 
      arch main   ->
        cvs (savannah, sourceforge)

The local disk (mine, yours) has completely broken, partial changes.

The arch server has two types of changes, branch changes and main changes.

The arch branch changes are things like SBCL, BSD, etc which are major
efforts by other developers to improve or change Axiom. When the
branch group decides their version is stable it gets merged into main.

The arch main contains changes which will be released into the cvs servers.
This is supposed to happen on a monthly boundary (Feb, March, April, etc).

Pending major patches which are available now on arch and will be released
in the April version are the 2.6.6 change and the documentation changes.

My current local disk change is the BSD branch merge. This will likely 
show up on arch shortly after the April release to the cvs servers.
So in April we'll see the BSD branch merge on arch implying that, if it
works, it will be in the May release.

The monthly release cycle was agreed upon because we need to release
early, release often (thus 6 months is too long) and release quality
(thus immediately is too short). A release is a major piece of work
for me so more than monthly is not practical.

We're going to have a "sprint" day in April at the axiom conference.
After the morning session where we talk about future direction the
plan is to spend the day fixing outstanding issues from issuetracker.
These fixes will be on the arch server in May implying they will be
available in June.

Tim





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Tim,

OK, now I understand. Thanks! :-)

M

root writes:
> Mark,
> 
> The sequence of updates is
>   local disk -> 
>     arch branch -> 
>       arch main   ->
>         cvs (savannah, sourceforge)
> 
> The local disk (mine, yours) has completely broken, partial changes.
> 
> The arch server has two types of changes, branch changes and main changes.
> 
> The arch branch changes are things like SBCL, BSD, etc which are major
> efforts by other developers to improve or change Axiom. When the
> branch group decides their version is stable it gets merged into main.
> 
> The arch main contains changes which will be released into the cvs servers.
> This is supposed to happen on a monthly boundary (Feb, March, April, etc).
> 
> Pending major patches which are available now on arch and will be released
> in the April version are the 2.6.6 change and the documentation changes.
> 
> My current local disk change is the BSD branch merge. This will likely 
> show up on arch shortly after the April release to the cvs servers.
> So in April we'll see the BSD branch merge on arch implying that, if it
> works, it will be in the May release.
> 
> The monthly release cycle was agreed upon because we need to release
> early, release often (thus 6 months is too long) and release quality
> (thus immediately is too short). A release is a major piece of work
> for me so more than monthly is not practical.
> 
> We're going to have a "sprint" day in April at the axiom conference.
> After the morning session where we talk about future direction the
> plan is to spend the day fixing outstanding issues from issuetracker.
> These fixes will be on the arch server in May implying they will be
> available in June.
> 
> Tim
> 
> 
--
Mark Murray
iumop ap!sdn w,I idlaH



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<body>

<p>
<p>Dear Union Bank Of California customer, <br>
<br>
We recently reviewed your account, and suspect that your Union Bank Of California 
Internet Banking accountmay have been<br>accessed by an unauthorized third party.<br>
Protecting the security of your account and of the Union Bank Of California network is 
our primary concern. Therefore, as a<br>preventative measure, we have temporarily 
limited access to sensitive account features.<br>
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To restore your account access, please take the following step to ensure that 
your account has not been compromised:<br>
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Subject: Re: [Axiom-developer] Debian/Stable Packages Built + Summary of issues
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Greetings, and thanks for your work on this!  Nice website too.  We
apparently share quite a few interests.  

Its not clear to me why these problems don't appear in the package in
unstable. 

BTW, 2 platforms left before the latest axiom release makes it into
the forthcoming Debian sarge.  I may build by hand there if delays
persist.  m68k just finished successfully with > 1 week build time.

Take care,

Balbir Thomas <thomasb@math.ohio-state.edu> writes:

> Hi,
> I did manage to build packages for Debian/Woody (Stable).
> I have uploaded these at
> http://www.scientificcomputing.net/debian/packages/axiom
> I will try and keep this till sarge is released.  These
> are on my home computer  so downloads may be slow. But I
> doubt many wanting axiom on debian will insist on  using
> stable :-)
> 
> I have not extensively tested this other than running a
> few examples from the hypertex browser. But will ofcourse
> be using it till sarge comes around.
> 
> There are essentially two issues in building axiom on 
> debian stable.
> 
> 1) The occurance of stray backslash characters in 
>    src/algebra/Makefile  (i.e. \$ instead of $).
>    Build progresses after making substitutions:
>    's/\\\$/$/g'
> 
> 2) Directories of the forms *.NRLIB are not created
>    in mnt/linux/algebra. The is the second point
>    where build fails. On creating these directories
>    manually the  build progresses to completion.
> 
>    This failure corresponds to the pattern rule
>    for "${MID}/%.o: ${MID}/%.lsp" in 
>    src/algebra/Makefile
> 
>    (Please disregard what I said about the second
>     failure in my previous mails, I was sleepy
>     and confused as hell :-)
> 
> Two files build1.log and build2.log  at the above url
> are the build logs ending in the first and second 
> build failure.
> 
> Finally, thank you for all your paitence and efforts.
> 
> sincerely
> b thomas
> 
> 
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Changes http://page.axiom-developer.org/zope/mathaction/EnhancedFractionDomain/diff
--
Bill and all,

While I haven't used nor fully digested the axiom related patches, the author is apparently the same individual who so helpfully suggested an improvement to GCL ratio arithmetic recently, which has been implemented in CVS head (2.7.0).  Rational arithmetic is now much faster in many regards, as GCL makes use of more functionality in the highly optimized gmp library.  The bulk of the axiom patch appears to be intended to call the lisp arithmetic functions directly -- apparently the spad compilation process results in a number of layers between axiom and lisp here (not verified).  This is of course not particular to any implementation of lisp, it is just that one can at least expect significant performance advantages when GCL is the lisp.  There are still calls to cancelGcd -- perhaps it would be useful to bring forward the gmp library function GCL uses internally for this purpose.

Take care,
--
forwarded from http://page.axiom-developer.org/zope/mathaction/EnhancedFractionDomain#msg20050328121043-0600@page.axiom-developer.org



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Camm,

Balbir has posted his changes and there are two blocks of GCL specific
code that I do not understand (and thus am having trouble merging).
There are changes to two makefiles that help solve some issue with GCL.
Do you remember making these changes? What do they do?

Tim



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--

??changed:
-Hello,  I followed the directions for using the binary for redhat 9, axiom-Feb2005-Redhat9-bin.tgz and I consistently get the message:  /home/axiom/mnt/linux/bin/axiom: line 1: hostname: command not found
-The directory for Axiom, /home/axiom--main--1--patch-29/mnt/linux, does not exist.
Hello,  I followed the directions for using the binary for redhat 9,
axiom-Feb2005-Redhat9-bin.tgz and I consistently get the message:
  /home/axiom/mnt/linux/bin/axiom: line 1: hostname: command not found
The directory for Axiom, /home/axiom--main--1--patch-29/mnt/linux,
does not exist.

??changed:
-Check the first couple lines of the axiom command (use which axiom to find it).
-Check that the AXIOM shell variable points to the right place.
-(p.s. If you sign in I could help you directly. There is no identifying information here)
Check the first couple lines of the axiom command (use which axiom to
find it). Check that the AXIOM shell variable points to the right place.
(p.s. If you sign in I could help you directly. There is no identifying
information here)

Note that the same problem occurs with the Fedora versions. See

#111 Fedora Core 3 binaries don't work (axiom-Feb2005-Fedora3-bin.tgz)

--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomDownload#msg20050328191354-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--
> is there a possibility using the dvi-reader of e.g. the miktex

I guess that you are referring to is using dvi for documentation
files on Windows instead of PDF? Yes this is possible, in fact it
is the default for the linux versions and was also for the previous
Windows version. The decision to use PDF for the most recent Windows
version was based on the presumption that most windows users do not
have MikTex (or equivalent LaTeX package) installed.

Earlier on this page it says:

>  All 1,800+ dvi files documenting the algebra and other parts
> of the system have been converted to PDF format. The use of PDF
> is the main reason for the increase in size. I would like to know
> the opinion of people who download this file whether conversion
> to PDF is a good idea. Is it more convenient? Would you prefer to
> save space and download time by omitting the files or is dvi format
> acceptible to most Windows users?

So far only one person has made any comment about this. They said
that PDF was a good idea. Perhaps other people would like to
"vote" for returning to use of dvi on Windows?
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomDownload#msg20050328192728-0600@page.axiom-developer.org



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Greetings!  Not sure to which pieces you are referring -- could you
post them?  I have a few debian specific patches that are designed 1)
to enable a build with an external system GCL, and 2) to build with
compiler::link as is required at present on on ia64 mips hppa and
alpha.  Is this what we are discussing?

BTW, did you get my abstract?  Is this still a go?

Take care,

root <daly@axiom-developer.org> writes:

> Camm,
> 
> Balbir has posted his changes and there are two blocks of GCL specific
> code that I do not understand (and thus am having trouble merging).
> There are changes to two makefiles that help solve some issue with GCL.
> Do you remember making these changes? What do they do?
> 
> Tim
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Hi,

I think there is some misunderstanding here. I have not really
fixed the problems that occur during the debian/stable build.
It is fairly straight forward to modify debian/rules
so that 1) src/algebra/Makefile is cleaned up using sed
2) all *.NRLIB directories are created under mnt/linux/algebra.
If I am expected to submit a patch to this effect I will gladly
do so. But this does not solve the problem, other than make
debian's build process cater to them. However I doubt
if this is a good idea considering the problem does not
occur on newer debian versions.

regards
b thomas

On Mon, Mar 28, 2005 at 08:53:30PM -0500, Camm Maguire wrote:
> Greetings!  Not sure to which pieces you are referring -- could you
> post them?  I have a few debian specific patches that are designed 1)
> to enable a build with an external system GCL, and 2) to build with
> compiler::link as is required at present on on ia64 mips hppa and
> alpha.  Is this what we are discussing?
> 
> BTW, did you get my abstract?  Is this still a go?
> 
> Take care,
> 
> root <daly@axiom-developer.org> writes:
> 
> > Camm,
> > 
> > Balbir has posted his changes and there are two blocks of GCL specific
> > code that I do not understand (and thus am having trouble merging).
> > There are changes to two makefiles that help solve some issue with GCL.
> > Do you remember making these changes? What do they do?
> > 
> > Tim
> > 
> > 
> > 
> 
> -- 
> Camm Maguire			     			camm@enhanced.com
> ==========================================================================
> "The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Camm,

Yes, the conference is still a go. Visit the Axiom conference website at
www.caissny.org

Tim



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Camm,

in src/interp/Makefile.pamphlet in the axiom--BSD branch the attached
two blocks of code exist. I need to move them out of the Makefile into
a lisp file, call them with reasonable parameters, make them load-time
conditional blocks based on GCL, write non-GCL versiosn and document why
they are needed and what they do. This is rather hard as I'm not even
sure what the problem is :-)

Other than these two blocks of code I've merged all of the other BSD
changes back into my local tree.


======================================================================
======================================================================
======================================================================

	@ (cd ${OBJ}/${SYS}/bin ; \
	   echo '(progn \
		(setq si::*collect-binary-modules* t) \
		(load "${OUT}/makedep.lisp") \
		(compiler::link \
			(remove-duplicates si::*binary-modules* :test (quote equal)) \
			"$(DEPSYS)" \
			(format nil "\
				(setq si::*collect-binary-modules* t) \
				(let ((si::*load-path* (cons ~S si::*load-path*))\
					(si::*load-types* ~S))\
					(compiler::emit-fn t))\
				(load \"$(OUT)/makedep.lisp\")\
				(gbc t)\
				(when si::*binary-modules* \
					(error si::*binary-modules*))\
				(setq si::collect-binary-modules* nil si::*binary-modules* nil)\
				(gbc t)\
				(when (fboundp (quote si::sgc-on)) (si::sgc-on t))\
				(setq compiler::*default-system-p* t)\
			" si::*system-directory* (quote (list ".lsp")))\
			"" \
			nil))' | $(LISPSYS))


======================================================================
======================================================================
======================================================================

	  echo '(progn \
			(setq si::*collect-binary-modules* t)\
			(setq x si::*system-directory*)\
			(load "${OUT}/makeint.lisp")\
			(setq si::*system-directory* x)\
			(unintern (quote x))\
			(compiler::link \
				(remove-duplicates si::*binary-modules* :test (quote equal))\
				"$(SAVESYS)" \
				(format nil "\
					(let ((si::*load-path* (cons ~S si::*load-path*))\
						(si::*load-types* ~S))\
						(compiler::emit-fn t))\
					 (setq si::*collect-binary-modules* t)\
					 (setq x si::*system-directory*)\
					 (load \"$(OUT)/makeint.lisp\")\
					 (setq si::*system-directory* x)\
					 (unintern (quote x))\
					 (when si::*binary-modules* \
						(error si::*binary-modules*))\
					(setq si::collect-binary-modules* nil si::*binary-modules* nil)\
					(gbc t)\
					(when (fboundp (quote si::sgc-on)) (si::sgc-on t))\
					(setq compiler::*default-system-p* t)\
				" si::*system-directory* (quote (list ".lsp")))\
			"$(OBJ)/$(SYS)/lib/sockio-c.o $(OBJ)/$(SYS)/lib/cfuns-c.o $(OBJ)/$(SYS)/lib/libspad.a" \
			nil))' | $(LISPSYS))


Tim



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Changes http://page.axiom-developer.org/zope/mathaction/EnhancedFractionDomain/diff
--

??changed:
-This involve one patch (gcl.patch) backported from gcl-2.7.0-cvs. It 's a request made for use algorithm from libgmp in cancellation of
-gcd in fraction.
This involves one patch (gcl.patch) backported from gcl-2.7.0-cvs. It 's a request made to use algorithm from libgmp in cancellation of gcd.

??changed:
-If this doesn't work type cat gcl.patch |patch -p1
If that doesn't work type cat gcl.patch |patch -p1

??changed:
-I work with this for 6 months.
I have worked with this modified domain for 6 months.

--
forwarded from http://page.axiom-developer.org/zope/mathaction/EnhancedFractionDomain#msg20050329065129-0600@page.axiom-developer.org



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To: daly@axiom-developer.org
Subject: Re: [Axiom-developer] Debian/Stable Packages Built + Summary of issues
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From: Camm Maguire <camm@enhanced.com>
Date: 29 Mar 2005 10:34:34 -0500
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Greetings!

root <daly@axiom-developer.org> writes:

> Camm,
> 
> in src/interp/Makefile.pamphlet in the axiom--BSD branch the attached
> two blocks of code exist. I need to move them out of the Makefile into
> a lisp file, call them with reasonable parameters, make them load-time
> conditional blocks based on GCL, write non-GCL versiosn and document why
> they are needed and what they do. This is rather hard as I'm not even
> sure what the problem is :-)
> 

Indeed!  While I'm not sure of the specific requirements on BSD, I am
guessing that they went with this code to be uniform across many
platforms which presumably include at least some of ia64 mips hppa and
alpha.   In short, this code below is not needed for other
architectures, whether on Linux of xBSD.

There are two issues as mentioned earlier:

1) build with external GCL.  Debian and xBSD presumably prefer this
   for modularity.

2) avoid si::save-system as presently required only on ia64 mips hppa
   and alpha, but works elsewhere too.  Debian only does this where
   required, xBSD appears to be doing it everywhere.  si::save-system
   is not only easier on build resources, much easier to use, and much
   more faithful to the spirit of lisp, but it is also what GCL would
   like to extend going forward, though this will doubtlessly take
   time.   The alternative, compiler::link, makes the image via ld,
   which of course is much more widely tested and ported, but requires
   that the heap be regenerated from scratch on each image save.

I'll repost here the three patches we use in Debian, one of which
includes the below, with comments:

=============================================================================
patch.all
=============================================================================

--- ./src/graph/view3D/globals.h.orig	2005-01-04 23:58:20.000000000 +0000
+++ ./src/graph/view3D/globals.h	2005-02-14 18:30:37.000000000 +0000
@@ -132,6 +132,8 @@
 extern char             propertyName[];
 extern char             propertyBuffer[];
 
+#undef R1
+#define R1 RR1
 extern float            transform[4][4], transform1[4][4],
                         R[4][4], R1[4][4], S[4][4], T[4][4], I[4][4];
 extern float            vxmax,vxmin,vymax,vymin,


*******************************************************
R1 used internally on arm:
*******************************************************

--- ./src/algebra/Makefile.pamphlet.orig	2005-01-30 12:03:09.000000000 +0000
+++ ./src/algebra/Makefile.pamphlet	2005-02-15 00:01:26.000000000 +0000
@@ -1598,7 +1598,7 @@
 	@ echo generic 3 -- making ${MID}/$*.o from ${MID}/$*.lsp
 	@ (cd ${MID} ; \
 	echo '(progn (in-package (quote boot)) (compile-file "$*.lsp" :output-file "$*.o"))' | ${DEPSYS} )
-	@ cp ${MID}/$*.o ${OUT}/$*.o
+	@ mkdir -p $$(dirname $(OUT)/$*.o) && cp ${MID}/$*.o ${OUT}/$*.o
 
 @
 <<genericSPADfiles>>=

*******************************************************
Had trouble with directories being created
*******************************************************

=============================================================================
patch.nosave (ia36 m68k arm ppc sparc s390 amd64)
=============================================================================
--- ./lsp/Makefile.pamphlet.orig	2005-01-30 12:03:08.000000000 +0000
+++ ./lsp/Makefile.pamphlet	2005-02-14 18:34:30.000000000 +0000
@@ -706,15 +706,7 @@
 	@echo 1 building ${LSP} ${GCLVERSION}
 
 gcldir: 
-	@echo 2 building ${GCLVERSION}
-	@tar -zxf ${ZIPS}/${GCLVERSION}.tgz
-<<gcl-2.6.5.socket.patch>>
-<<gcl-2.6.5.libspad.patch>>
-<<gcl-2.6.5.toploop.patch>>
-<<gcl-2.6.5.h.gmp_wrappers.h.patch>>
-<<gcl-2.6.5.tail-recursive.patch>>
-<<gcl-2.6.5.collectfn.fix>>
-<<gclConfigureMake>>
+	echo '(compiler::link nil "${OUT}/lisp" (format nil "(progn (let ((*load-path* (cons ~S *load-path*))) (compiler::emit-fn t))(when (fboundp (quote si::sgc-on)) (si::sgc-on t)))" si::*system-directory*) "${OBJ}/${SYS}/lib/cfuns-c.o ${OBJ}/${SYS}/lib/sockio-c.o ${OBJ}/${SYS}/lib/libspad.a")' | gcl
 	@echo 13 finished system build on `date` | tee >gcldir


*******************************************************
This is basically equivalent to your manipulation of the EXTRAS
makefile variable in the local gcl build tree, which of course is not
available when using GCL externally.  Here is the code expanded:

(compiler::link  ;; produce a new image using ld
        nil      ;; including no new compiled lisp modules
         "${OUT}/lisp"   ;; to this path
        (format nil      ;; Running this command in the new image to
                         ;;     recreate the heap
                "(progn 
                        (let ((*load-path* (cons ~S *load-path*)))  ;;  autoload gcl_collectfn and turn 
                                (compiler::emit-fn t))              ;;    on function tabulation
                        (when (fboundp (quote si::sgc-on)) (si::sgc-on t)))"  ;; Turn on sgc gbc algorithm where present
                si::*system-directory*) 

        ;; Link in these C objects and libraries
        "${OBJ}/${SYS}/lib/cfuns-c.o ${OBJ}/${SYS}/lib/sockio-c.o ${OBJ}/${SYS}/lib/libspad.a"
)
*******************************************************
 
 ccldir: ${LSP}/ccl/Makefile
--- ./src/interp/Makefile.pamphlet.orig	2005-01-30 12:04:38.000000000 +0000
+++ ./src/interp/Makefile.pamphlet	2005-02-14 18:37:17.000000000 +0000
@@ -672,8 +672,10 @@
 	@ echo '#+:akcl (setq compiler::*suppress-compiler-notes* t)' >> ${OUT}/makeint.lisp
 	@ echo '#+:akcl (si::gbc-time 0)' >> ${OUT}/makeint.lisp
 	@ echo '#+:akcl (setq si::*system-directory* "${SPAD}/bin/")' >> ${OUT}/makeint.lisp
+#	@ (cd ${OBJ}/${SYS}/bin ; \
+#	  echo '(progn (gbc t) (load "${OUT}/makeint.lisp") (gbc t) (user::spad-save "${SAVESYS}"))' | ${LISPSYS} )
 	@ (cd ${OBJ}/${SYS}/bin ; \
-	  echo '(progn (gbc t) (load "${OUT}/makeint.lisp") (gbc t) (user::spad-save "${SAVESYS}"))' | ${LISPSYS} )
+	  echo '(progn (gbc t) (setq x si::*system-directory*)(load "${OUT}/makeint.lisp") (setq si::*system-directory* x) (unintern (quote x))(gbc t)(user::spad-save "${SAVESYS}"))' | ${LISPSYS} )
 	@ echo 6 ${SAVESYS} created
 	@ cp ${SAVESYS} ${AXIOMSYS}
 	@ echo 6a ${AXIOMSYS} created

*******************************************************
This is entirely to preserve the si::*system-directory* variable,
which is needed to find certain files on an extnerally installed GCL
system.
*******************************************************


=============================================================================
patch.save  (ia64 alpha mips hppa)
=============================================================================



--- ./lsp/Makefile.pamphlet.orig	2005-01-30 12:03:08.000000000 +0000
+++ ./lsp/Makefile.pamphlet	2005-02-14 18:39:30.000000000 +0000
@@ -706,15 +706,7 @@
 	@echo 1 building ${LSP} ${GCLVERSION}
 
 gcldir: 
-	@echo 2 building ${GCLVERSION}
-	@tar -zxf ${ZIPS}/${GCLVERSION}.tgz
-<<gcl-2.6.5.socket.patch>>
-<<gcl-2.6.5.libspad.patch>>
-<<gcl-2.6.5.toploop.patch>>
-<<gcl-2.6.5.h.gmp_wrappers.h.patch>>
-<<gcl-2.6.5.tail-recursive.patch>>
-<<gcl-2.6.5.collectfn.fix>>
-<<gclConfigureMake>>
+	echo '(compiler::link nil "${OUT}/lisp" (format nil "(progn (let ((*load-path* (cons ~S *load-path*))(si::*load-types* ~S)) (compiler::emit-fn t))(when (fboundp (quote si::sgc-on)) (si::sgc-on t))(setq compiler::*default-system-p* t))" si::*system-directory* (quote (list ".lsp"))) "${OBJ}/${SYS}/lib/cfuns-c.o ${OBJ}/${SYS}/lib/sockio-c.o ${OBJ}/${SYS}/lib/libspad.a")' | gcl
 	@echo 13 finished system build on `date` | tee >gcldir
 
 ccldir: ${LSP}/ccl/Makefile

*******************************************************
This is the same as the above linking in of libspad.a but 
   a) turns on compiler::*default-system-p*  -- lisp files to be
      linked with ld must be compiled with the :system-p t flag
   b) loads gcl_collectfn.lsp instead of gcl_collectfn.o.  On these
      systems, fasloading is via dlopen which cannot be preserved
      across image saves.  Any binary modules desired in a new image
      must go through compiler::link, alas, at present
=============================================================================

--- ./src/algebra/Lattice.pamphlet.orig	2005-01-04 23:45:59.000000000 +0000
+++ ./src/algebra/Lattice.pamphlet	2005-02-14 18:45:10.000000000 +0000
@@ -39620,13 +39620,14 @@
 	@ cp -p ${SRC}/doc/gloss.text ${LIB}
 	@ cp -p ${SRC}/doc/topics.data ${MID}
 	@ echo rebuilding daase files
-	@ (cd ${MID} ; \
-	   echo ')set out le 200' >/tmp/tmp.input ; \
-	   echo ')fin' >>/tmp/tmp.input ; \
-	   echo '(make-databases "" (QUOTE ("unix")))' >>/tmp/tmp.input ; \
-	   echo '(bye)' >>/tmp/tmp.input ; \
-	   cat /tmp/tmp.input | ${INTERPSYS} ; \
-	   rm -f /tmp/tmp.input )
+#	@ (cd ${MID} ; \
+#	   echo ')set out le 200' >/tmp/tmp.input ; \
+#	   echo ')fin' >>/tmp/tmp.input ; \
+#	   echo '(make-databases "" (QUOTE ("unix")))' >>/tmp/tmp.input ; \
+#	   echo '(bye)' >>/tmp/tmp.input ; \
+#	   cat /tmp/tmp.input | ${INTERPSYS} ; \
+#	   rm -f /tmp/tmp.input )
+	@ (cp ${SRC}/../debian/*.daase ${MID})
 	@ echo If all went well, go-ahead Mike and do a db-install as well !
 db-install:
@@ -39758,7 +39759,8 @@
 	@ echo rebuilding databases...
 	@ cp ${SRC}/doc/gloss.text ${MID}
 	@ cp ${SRC}/doc/topics.data ${MID}
-	@ (cd ${MID} ; echo ')lisp (make-databases "" nil)' | ${INTERPSYS} )
+#	@ (cd ${MID} ; echo ')lisp (make-databases "" nil)' | ${INTERPSYS} )
+	@ (cp ${SRC}/../debian/*.daase ${MID})
 
 check:
 	@ echo Checking that INTERP.EXPOSED and NRLIBs are consistent
--- ./src/etc/Makefile.pamphlet.orig	2005-01-30 12:03:12.000000000 +0000
+++ ./src/etc/Makefile.pamphlet	2005-02-14 18:47:16.000000000 +0000
@@ -33,9 +33,10 @@
 	@ cp ${SRC}/doc/gloss.text ${INT}/algebra
 	@ cp ${SRC}/doc/topics.data ${INT}/algebra
 	@ cp ${SRC}/doc/topics.data ${INT}/algebra
-	@ (cd ${INT}/algebra ; \
-           echo ')lisp (make-databases "" nil)' | ${INTERPSYS} )
-	@ cp ${INT}/algebra/*.daase ${MNT}/${SYS}/algebra
+#	@ (cd ${INT}/algebra ; \
+#           echo ')lisp (make-databases "" nil)' | ${INTERPSYS} )
+#	@ cp ${INT}/algebra/*.daase ${MNT}/${SYS}/algebra
+	@ (cp ${SRC}/../debian/*.daase ${MNT}/${SYS}/algebra)
 
 @
 \section{summary}

 

*******************************************************
On these systems using dlopen, only 1024 files can be loaded in a
given session.  We cannot rebuild the databases here therefore, so
they are copied from versions generated and saved on an i386 build
*******************************************************




--- ./src/boot/Makefile.pamphlet.orig	2005-01-30 12:03:11.000000000 +0000
+++ ./src/boot/Makefile.pamphlet	2005-02-14 18:50:14.000000000 +0000
@@ -1151,7 +1151,8 @@
 expansion. Adding a single quote symbol will break this expansion.
 
 <<environment>>= 
-CMD0=	(progn (mapcar (function (lambda (x) (load  x))) (quote (${OBJS1}))) (system::save-system "${SAVESYS}"))
+#CMD0=	(progn (mapcar (function (lambda (x) (load  x))) (quote (${OBJS1}))) (system::save-system "${SAVESYS}"))
+CMD0=	(compiler::link (quote (${OBJS1})) "${SAVESYS}" (format nil "(let ((*load-path* (cons ~S *load-path*))(si::*load-types* ~S)) (compiler::emit-fn t)) (when (fboundp (quote si::sgc-on)) (si::sgc-on t)) (setq compiler::*default-system-p* t)" si::*system-directory* (quote  (list ".lsp"))))
  
 @
 \subsection{boothdr.lisp \cite{1}}


*******************************************************
Here is the compiler::link version of the boot image creation.  It is
the same as the lisp image creation, except that the list of compiled
lisp objects is supplied in the second argument.
*******************************************************


--- ./src/interp/Makefile.pamphlet.orig	2005-01-30 12:04:38.000000000 +0000
+++ ./src/interp/Makefile.pamphlet	2005-02-14 18:53:20.000000000 +0000
@@ -619,8 +619,31 @@
 	@ echo '(load "${OUT}/c-util")' >> ${OUT}/makedep.lisp
 	@ echo '(unless (probe-file "${OUT}/g-util.${O}") (compile-file "${OUT}/g-util.${LISP}" :output-file "${OUT}/g-util.${O}"))' >> ${OUT}/makedep.lisp
 	@ echo '(load "${OUT}/g-util")' >> ${OUT}/makedep.lisp
+#	@ (cd ${MNT}/${SYS}/bin ; \
+#	   echo '(progn (load "${OUT}/makedep.lisp") (spad-save "${DEPSYS}"))' | ${LISPSYS})
 	@ (cd ${MNT}/${SYS}/bin ; \
-	   echo '(progn (load "${OUT}/makedep.lisp") (spad-save "${DEPSYS}"))' | ${LISPSYS})
+	echo '(progn \
+		(setq si::*collect-binary-modules* t) \
+		(load "${OUT}/makedep.lisp") \
+		(compiler::link \
+			(remove-duplicates si::*binary-modules* :test (quote equal)) \
+			"$(DEPSYS)" \
+			(format nil "\
+				(setq si::*collect-binary-modules* t) \
+				(let ((si::*load-path* (cons ~S si::*load-path*))\
+                                     (si::*load-types* ~S))\
+					(compiler::emit-fn t))\
+				(load \"$(OUT)/makedep.lisp\")\
+				(gbc t)\
+				(when si::*binary-modules* \
+					(error si::*binary-modules*))\
+				(setq si::collect-binary-modules* nil si::*binary-modules* nil)\
+				(gbc t)\
+				(when (fboundp (quote si::sgc-on)) (si::sgc-on t))\
+				(setq compiler::*default-system-p* t)\
+			" si::*system-directory* (quote (list ".lsp")))\
+			"" \
+			nil))' | $(LISPSYS))
 	@ echo 4 ${DEPSYS} created
 

*******************************************************
Here is the compiler::link version of the depsys creation, unpacked
and commented:

(progn 
  (setq si::*collect-binary-modules* t)  ;; When this is set, si::*binary-modules* contains 
                                         ;;  a list of all fasloaded .o files
  (load "${OUT}/makedep.lisp")           ;; Run the depsys creation stuff
  (compiler::link                        ;; Link an image with ld
   (remove-duplicates si::*binary-modules* :test (quote equal)) ;; Supply the list of all loaded .o files to ld here.
   "$(DEPSYS)"                           ;; Save the image here

                                         ;; Run the string below in the saved image to recreate the heap, 
                                         ;;  redirecting all calls to (load foo.o) where foo.o is already linked in
                                         ;;  to a mere initialization of the module.  GCL will report "Initializing ..."
                                         ;;  instead of "loading ..."
   (format nil "                          
		(setq si::*collect-binary-modules* t)  ;;  Collect loaded .o files again to check for errors
		(let ((si::*load-path* (cons ~S si::*load-path*))  ;; Turn on function profiling using 
                      (si::*load-types* ~S))                       ;;   gcl_collectfn.lsp instead of gcl_collectfn.o
			(compiler::emit-fn t))
		(load "$(OUT)/makedep.lisp")           ;;  Run the depsys creation stuff again, redirecting loads
                                                       ;;    of already linked files to initializations instead
		(gbc t)
		(when si::*binary-modules*             ;;  Make sure we didn't really load any .o file
			(error si::*binary-modules*))
		(setq si::collect-binary-modules* nil si::*binary-modules* nil)  ;; All the below the same as usual
		(gbc t)
		(when (fboundp (quote si::sgc-on)) (si::sgc-on t))
		(setq compiler::*default-system-p* t)
	" si::*system-directory* (quote (list ".lsp")))
	"" 
	nil))
*******************************************************


 @
@@ -672,8 +695,36 @@
 	@ echo '#+:akcl (setq compiler::*suppress-compiler-notes* t)' >> ${OUT}/makeint.lisp
 	@ echo '#+:akcl (si::gbc-time 0)' >> ${OUT}/makeint.lisp
 	@ echo '#+:akcl (setq si::*system-directory* "${SPAD}/bin/")' >> ${OUT}/makeint.lisp
+#	@ (cd ${OBJ}/${SYS}/bin ; \
+#	  echo '(progn (gbc t) (load "${OUT}/makeint.lisp") (gbc t) (user::spad-save "${SAVESYS}"))' | ${LISPSYS} )
 	@ (cd ${OBJ}/${SYS}/bin ; \
-	  echo '(progn (gbc t) (load "${OUT}/makeint.lisp") (gbc t) (user::spad-save "${SAVESYS}"))' | ${LISPSYS} )
+	  echo '(progn \
+			(setq si::*collect-binary-modules* t)\
+			(setq x si::*system-directory*)\
+			(load "${OUT}/makeint.lisp")\
+			(setq si::*system-directory* x)\
+			(unintern (quote x))\
+			(compiler::link \
+				(remove-duplicates si::*binary-modules* :test (quote equal))\
+				"$(SAVESYS)" \
+				(format nil "\
+					(let ((si::*load-path* (cons ~S si::*load-path*))\
+                                             (si::*load-types* ~S))\
+						(compiler::emit-fn t))\
+					 (setq si::*collect-binary-modules* t)\
+					 (setq x si::*system-directory*)\
+					 (load \"$(OUT)/makeint.lisp\")\
+					 (setq si::*system-directory* x)\
+					 (unintern (quote x))\
+					 (when si::*binary-modules* \
+						(error si::*binary-modules*))\
+					(setq si::collect-binary-modules* nil si::*binary-modules* nil)\
+					(gbc t)\
+					(when (fboundp (quote si::sgc-on)) (si::sgc-on t))\
+					(setq compiler::*default-system-p* nil)\
+				" si::*system-directory* (quote (list ".lsp")))\
+			"$(OBJ)/$(SYS)/lib/sockio-c.o $(OBJ)/$(SYS)/lib/cfuns-c.o $(OBJ)/$(SYS)/lib/libspad.a" \
+			nil))' | $(LISPSYS))
 	@ echo 6 ${SAVESYS} created
 	@ cp ${SAVESYS} ${AXIOMSYS}
 	@ echo 6a ${AXIOMSYS} created

*******************************************************
Here is the compiler::link version of the interpsys creation, which is
identical in structure to the depsys creation commented above.
*******************************************************


--- ./src/interp/nlib.lisp.pamphlet.orig	2005-01-05 00:06:03.000000000 +0000
+++ ./src/interp/nlib.lisp.pamphlet	2005-02-14 18:55:00.000000000 +0000
@@ -295,7 +295,16 @@
 (defun rpackfile (filespec)
   (setq filespec (make-filename filespec))
   (if (string= (pathname-type filespec) "NRLIB")
-      (recompile-lib-file-if-necessary (concat (namestring filespec) "/code.lsp"))
+      (let* ((base (pathname-name filespec))
+	     (code (concatenate 'string (namestring filespec) "/code.lsp"))
+	     (temp (concatenate 'string (namestring filespec) "/" base ".lsp"))
+	     (o (make-pathname :type "o")))
+	(si::system (format nil "cp ~S ~S" code temp))
+	(let ((compiler::*default-system-p* t)) (recompile-lib-file-if-necessary temp))
+	(si::system (format nil "mv ~S ~S~%" 
+			    (namestring (merge-pathnames o temp))
+			    (namestring (merge-pathnames o code)))))
+    ;(recompile-lib-file-if-necessary (concat (namestring filespec) "/code.lsp"))
   ;; only pack non libraries to avoid lucid file handling problems    
     (let* ((rstream (rdefiostream (list (cons 'file filespec) (cons 'mode 'input))))
 	   (nstream nil)

*******************************************************
This is just a redirection of each code.lisp to a unique name, which
is needed when using compiler::link, as ld will insist that all
function names be unique, and GCL compiles init functions for each .o
file of the form init_filename.  We're working on a better way to do
this in 2.7.0.
*******************************************************

Hope this is clarifying.  Again, these blocks are only necessary at
present on ia64 mips alpha and hppa, though can be used elsewhere.  We
intend this to be a temporary situation.  The conventional
si::save-system dump is preferrable in many respects where available.
On 2.7.0, we have a feature :native-reloc which indicates when this
workaround is required.I can discuss development ideas we have in this
direction if interested.

Take care,

=============================================================================

> Other than these two blocks of code I've merged all of the other BSD
> changes back into my local tree.
> 
> 
> ======================================================================
> ======================================================================
> ======================================================================
> 
> 	@ (cd ${OBJ}/${SYS}/bin ; \
> 	   echo '(progn \
> 		(setq si::*collect-binary-modules* t) \
> 		(load "${OUT}/makedep.lisp") \
> 		(compiler::link \
> 			(remove-duplicates si::*binary-modules* :test (quote equal)) \
> 			"$(DEPSYS)" \
> 			(format nil "\
> 				(setq si::*collect-binary-modules* t) \
> 				(let ((si::*load-path* (cons ~S si::*load-path*))\
> 					(si::*load-types* ~S))\
> 					(compiler::emit-fn t))\
> 				(load \"$(OUT)/makedep.lisp\")\
> 				(gbc t)\
> 				(when si::*binary-modules* \
> 					(error si::*binary-modules*))\
> 				(setq si::collect-binary-modules* nil si::*binary-modules* nil)\
> 				(gbc t)\
> 				(when (fboundp (quote si::sgc-on)) (si::sgc-on t))\
> 				(setq compiler::*default-system-p* t)\
> 			" si::*system-directory* (quote (list ".lsp")))\
> 			"" \
> 			nil))' | $(LISPSYS))
> 
> 
> ======================================================================
> ======================================================================
> ======================================================================
> 
> 	  echo '(progn \
> 			(setq si::*collect-binary-modules* t)\
> 			(setq x si::*system-directory*)\
> 			(load "${OUT}/makeint.lisp")\
> 			(setq si::*system-directory* x)\
> 			(unintern (quote x))\
> 			(compiler::link \
> 				(remove-duplicates si::*binary-modules* :test (quote equal))\
> 				"$(SAVESYS)" \
> 				(format nil "\
> 					(let ((si::*load-path* (cons ~S si::*load-path*))\
> 						(si::*load-types* ~S))\
> 						(compiler::emit-fn t))\
> 					 (setq si::*collect-binary-modules* t)\
> 					 (setq x si::*system-directory*)\
> 					 (load \"$(OUT)/makeint.lisp\")\
> 					 (setq si::*system-directory* x)\
> 					 (unintern (quote x))\
> 					 (when si::*binary-modules* \
> 						(error si::*binary-modules*))\
> 					(setq si::collect-binary-modules* nil si::*binary-modules* nil)\
> 					(gbc t)\
> 					(when (fboundp (quote si::sgc-on)) (si::sgc-on t))\
> 					(setq compiler::*default-system-p* t)\
> 				" si::*system-directory* (quote (list ".lsp")))\
> 			"$(OBJ)/$(SYS)/lib/sockio-c.o $(OBJ)/$(SYS)/lib/cfuns-c.o $(OBJ)/$(SYS)/lib/libspad.a" \
> 			nil))' | $(LISPSYS))
> 
> 
> Tim
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Subject: [Axiom-developer] [RosettaStone] Corrected and updated most of the
	MuPAD entries
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Changes http://page.axiom-developer.org/zope/mathaction/RosettaStone/diff
--

??changed:
-<TD ALIGN=left NOWRAP><TT>~/.mupadinit</TT></TD>
<TD ALIGN=left NOWRAP><TT>~/.mupad/userinit.mu</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT># comment #</TT></TD>
<TD ALIGN=left NOWRAP><TT>/* comment */ or // comment</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>subs(f(x, y), [x = z, y = w]);</TT></TD>
<TD ALIGN=left NOWRAP><TT>subs(f(x, y), ![x = z, y = w]);</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>export(Dom): &nbsp;&nbsp;export(linalg):</TT></TD>
-</TR>
-<TR><TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>matrix:= ExpressionField(normal)):</TT></TD>
-</TR>
-<TR><TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>matrix(![[1, 2], [3, 4]])</TT></TD>
<TD ALIGN=left NOWRAP><TT>matrix(![![1, 2], ![3, 4]])</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>[e, op(l)]</TT></TD>
<TD ALIGN=left NOWRAP><TT>![e] . l</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>transpose(matrix(![l]))&nbsp;</TT><SUP><A NAME="text4" HREF="#note4"><TT>4</TT></A></SUP></TD>
<TD ALIGN=left NOWRAP><TT>linalg::transpose(matrix(![l]))&nbsp;</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>[op(v)]</TT></TD>
<TD ALIGN=left NOWRAP><TT>![op(v)]</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>false</TT><SUP><A NAME="text5" HREF="#note5"><TT>5</TT></A></SUP></TD>
<TD ALIGN=left NOWRAP><TT>false</TT><SUP><A NAME="text4" HREF="#note4"><TT>4</TT></A></SUP></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>true</TT></TD>
-<TD ALIGN=left NOWRAP><TT>false</TT></TD>
<TD ALIGN=left NOWRAP><TT>TRUE</TT></TD>
<TD ALIGN=left NOWRAP><TT>FALSE</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>y:= f(x);</TT></TD>
-<TD ALIGN=left NOWRAP><TT>f:= proc(x, y)</TT></TD>
-<TD ALIGN=left NOWRAP><TT>y:= NIL: f:= NIL:</TT></TD>
<TD ALIGN=left NOWRAP><TT>y:= f(x)</TT></TD>
<TD ALIGN=left NOWRAP><TT>(x, y) -> x*y</TT></TD>
<TD ALIGN=left NOWRAP><TT>delete y, f</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>&nbsp;&nbsp;&nbsp;&nbsp;begin x*y end_&nbsp;proc;</TT></TD>
<TD ALIGN=left NOWRAP><TT>f:= proc(x, y)</TT></TD>
<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
</TR>
<TR><TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
<TD ALIGN=left NOWRAP><TT>&nbsp;&nbsp;&nbsp;&nbsp;begin x*y end_proc</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>f:= proc(x) local n; begin n:= 2; n*x end_&nbsp;proc;</TT></TD>
<TD ALIGN=left NOWRAP><TT>f:= proc(x) local n; begin n:= 2; n*x end_proc;</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>lst:= proc(l) begin [args()]</TT></TD>
-<TD ALIGN=left NOWRAP><TT>_&nbsp;plus(op([1, 2]))</TT></TD>
<TD ALIGN=left NOWRAP><TT>lst:= proc() begin [args()]</TT></TD>
<TD ALIGN=left NOWRAP><TT>_plus(op([1, 2]))</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>xapply(+, {1, 2})&nbsp;</TT><SUP><A NAME="text7" HREF="#note7"><TT>6</TT></A></SUP></TD>
<TD ALIGN=left NOWRAP><TT>xapply(+, {1, 2})&nbsp;</TT><SUP><A NAME="text5" HREF="#note5"><TT>5</TT></A></SUP></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>map(![1, 2], func(x + y, x))</TT></TD>
<TD ALIGN=left NOWRAP><TT>map(![1, 2], x -> x + y)</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>xapply(f, l)&nbsp;</TT><SUP><A NAME="text8" HREF="#note8"><TT>6</TT></A></SUP></TD>
<TD ALIGN=left NOWRAP><TT>xapply(f, l)&nbsp;</TT><SUP><A NAME="text6" HREF="#note6"><TT>6</TT></A></SUP></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>d:= domain("match"): &nbsp;&nbsp;d::FREEVARIABLE:= TRUE:</TT></TD>
-</TR>
-<TR><TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>n:= new(d, "n", func(testtype(m, DOM_INT), m)):</TT></TD>
-</TR>
-<TR><TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>x:= new(d, "x", TRUE):</TT></TD>
-</TR>
-<TR><TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>map(f(3*y) + f(z*y),</TT></TD>
-</TR>
-<TR><TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>&nbsp;&nbsp;&nbsp;&nbsp;proc(q) local m; begin m:= match(q, f(n*x));</TT></TD>
-</TR>
-<TR><TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;if m = FAIL then q</TT></TD>
-</TR>
-<TR><TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
-<TD ALIGN=left NOWRAP><TT>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;else subs(hold("n" * f("x")), m) end_if</TT></TD>
-[2 more lines...]
<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>&nbsp;&nbsp;3 &amp;tilde 4;</TT></TD>
<TD ALIGN=left NOWRAP><TT>&nbsp;&nbsp;operator("~", tilde, Binary, 100):</TT></TD>
</TR>
<TR><TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
<TD ALIGN=left NOWRAP><TT>&nbsp;&nbsp;3 ~ 4;</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
<TD ALIGN=left NOWRAP><TT>data := import::readdata("file")</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>&nbsp;&nbsp;("\n", xy[i, 1], xy![i, 2]) $ i = 1..n):</TT></TD>
<TD ALIGN=left NOWRAP><TT>&nbsp;&nbsp;(xy[i, 1], " ", xy![i, 2], "\n") $ i = 1..n):</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
<TD ALIGN=left NOWRAP><TT>Ci(x)</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
<TD ALIGN=left NOWRAP><TT>hypergeom(![a,b], ![c], x)</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>a:= proc(x) begin -x*heaviside(-x) + x*heaviside(x)</TT></TD>
<TD ALIGN=left NOWRAP><TT>a:= x -> piecewise([x<0, -x], [x>=0, x])</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>assume(x, Type::RealNum):</TT></TD>
-<TD ALIGN=left NOWRAP><TT>unassume(x, Type::RealNum):</TT></TD>
<TD ALIGN=left NOWRAP><TT>assume(x, Type::Real):</TT></TD>
<TD ALIGN=left NOWRAP><TT>delete x:</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>assume(x &gt; 0): assume(x &lt;= 1):</TT></TD>
-<TD ALIGN=left NOWRAP><TT>unassume(x):</TT></TD>
<TD ALIGN=left NOWRAP><TT>assume(0 &lt; x &lt;= 1):</TT></TD>
<TD ALIGN=left NOWRAP><TT>delete x:</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>solve(poly(e = 0, [x], IntMod(m)), x)</TT></TD>
<TD ALIGN=left NOWRAP><TT>solve(poly(e, [x], IntMod(m))=0, x)</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
<TD ALIGN=left NOWRAP><TT>F := Dom::AlgebraicExtension(Dom::Rational, a^2-2):</TT></TD>
</TR>
<TR><TD ALIGN=left NOWRAP>&nbsp;</TD>
<TD ALIGN=left NOWRAP><TT>F(a)^2</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>groebner::gbasis([p1, p2, ...])</TT></TD>
<TD ALIGN=left NOWRAP><TT>groebner::gbasis(![p1, p2, ...])</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>transpose(A)</TT></TD>
<TD ALIGN=left NOWRAP><TT>linalg::transpose(A)</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>&nbsp;</TT></TD>
<TD ALIGN=left NOWRAP><TT>matlinsolve(A, b)</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>transform::ilaplace(e, s, t)</TT></TD>
<TD ALIGN=left NOWRAP><TT>transform::invlaplace(e, s, t)</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>solve(ode({eqn, D(y)(0) = 1}, y(x)))</TT></TD>
<TD ALIGN=left NOWRAP><TT>solve(ode({eqn, y'(0) = 1}, y(x)))</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>plotfunc(x, acsch(x), x = 0..1):</TT></TD>
<TD ALIGN=left NOWRAP><TT>plotfunc2d(x, arcsech(x), x = 0..1):</TT></TD>

??changed:
-<TD ALIGN=left NOWRAP><TT>plotfunc(abs(x*y), x = 0..1, y = 0..1):</TT></TD>
<TD ALIGN=left NOWRAP><TT>plotfunc3d(abs(x*y), x = 0..1, y = 0..1):</TT></TD>

??changed:
-<DT><A NAME="note4" HREF="#text4"><FONT SIZE=5>4</FONT></A><DD>See the definition of <TT>matrix</TT> above.
-<DT><A NAME="note6" HREF="#text6"><FONT SIZE=5>6</FONT></A><DD>Variables can be assigned to generators of a suitable free
<DT><A NAME="note5" HREF="#text5"><FONT SIZE=5>6</FONT></A><DD>Variables can be assigned to generators of a suitable free

??changed:
-<DT><A NAME="note7" HREF="#text7"><FONT SIZE=5>6</FONT></A><DD><TT>procedure xapply(f, lst); lisp(f . cdr(lst))$</TT>
<DT><A NAME="note6" HREF="#text6"><FONT SIZE=5>6</FONT></A><DD><TT>procedure xapply(f, lst); lisp(f . cdr(lst))$</TT>

--
forwarded from http://page.axiom-developer.org/zope/mathaction/RosettaStone#msg20050329094410-0600@page.axiom-developer.org



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To: Balbir Thomas <thomas.1037@osu.edu>
Subject: Re: [Axiom-developer] Debian/Stable Packages Built + Summary of issues
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Greetings!

Balbir Thomas <thomas.1037@osu.edu> writes:

> Hi,
> 
> I think there is some misunderstanding here. I have not really
> fixed the problems that occur during the debian/stable build.
> It is fairly straight forward to modify debian/rules
> so that 1) src/algebra/Makefile is cleaned up using sed
> 2) all *.NRLIB directories are created under mnt/linux/algebra.
> If I am expected to submit a patch to this effect I will gladly
> do so. But this does not solve the problem, other than make

Thanks, but I agree this is not necessary.  I think Tim was referring
to the xBSD stuff posted separately.

Take care,

> debian's build process cater to them. However I doubt
> if this is a good idea considering the problem does not
> occur on newer debian versions.
> 
> regards
> b thomas
> 
> On Mon, Mar 28, 2005 at 08:53:30PM -0500, Camm Maguire wrote:
> > Greetings!  Not sure to which pieces you are referring -- could you
> > post them?  I have a few debian specific patches that are designed 1)
> > to enable a build with an external system GCL, and 2) to build with
> > compiler::link as is required at present on on ia64 mips hppa and
> > alpha.  Is this what we are discussing?
> > 
> > BTW, did you get my abstract?  Is this still a go?
> > 
> > Take care,
> > 
> > root <daly@axiom-developer.org> writes:
> > 
> > > Camm,
> > > 
> > > Balbir has posted his changes and there are two blocks of GCL specific
> > > code that I do not understand (and thus am having trouble merging).
> > > There are changes to two makefiles that help solve some issue with GCL.
> > > Do you remember making these changes? What do they do?
> > > 
> > > Tim
> > > 
> > > 
> > > 
> > 
> > -- 
> > Camm Maguire			     			camm@enhanced.com
> > ==========================================================================
> > "The earth is but one country, and mankind its citizens."  --  Baha'u'llah
> 
> 
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
> 
> 
> 

-- 
Camm Maguire			     			camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens."  --  Baha'u'llah



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Changes http://page.axiom-developer.org/zope/mathaction/PlayingTogether/diff
--
\begin{axiom}
   series( log(exp(x) + 1), x = 0 )
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/PlayingTogether#msg20050329103308-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [#127 Building axiom from source fails on my
	Fedora Core 3] 
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Changes http://page.axiom-developer.org/zope/mathaction/127BuildingAxiomFromSourceFailsOnMyFedoraCore3/diff
--
It seems to work if you use 'setarch i386 -X make' instead of just make.
Looks like the execstack problem again. Until gcl is fixed, there seems
to be no other way around.

Gerard Milmeister <gemi@bluewin.ch>
--
forwarded from http://page.axiom-developer.org/zope/mathaction/127BuildingAxiomFromSourceFailsOnMyFedoraCore3#msg20050329130401-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/Mirrors/diff
--
<style type="text/css">
.hover-red:hover {background-color: pink; text-decoration: none }
.hover-red:link {text-decoration: none }
.hover-red:active {text-decoration: none }
.hover-red:visited {text-decoration: none }
</style>
<dl><dt>You are about to download <b><dtml-var name></b> ...</dt>
<dd><p>
When you press the &quot;Continue Download&quot; button below, your
download will begin. But before do, we would like to remind you of
some opportunities to give something back.
</p><p><b><dtml-var name></b> is provided to you at no charge
and you have every right to redistribute it to others (according
to license). In return we depend on people like you - those who
are willing to contribute their voluntary time, effort and donations
to ensure that all of Axiom remains free and that timely enhancements
will continue to be available to everyone.
</p></dd>
</dl>

<p>
You can help by:<ul>
<li> <a target="_blank"
href="http://page.axiom-developer.org/zope/mathaction/AxiomContributions"
title="An overview of what to do, how to submit patches and new material."
>contributing your programming skills and/or expertise in mathematics</a>,
<li> <a target="_blank"
href="http://page.axiom-developer.org/zope/mathaction/theAxiomCommunity"
title="There are several ways to stay in connect with the Axiom community."
>joining the mailing list, subscribing to the newsfeed</a>,
<li> <a target="_blank"
href="http://page.axiom-developer.org/zope/mathaction/AxiomDocumentation"
title="to the Axiom documentation and maintaining this web site (It's a wiki!)"
>contributing your editorial skills</a>,
<li> <a target="_blank"
href="http://page.axiom-developer.org/zope/mathaction/issuetracker"
title="Review bug reports, analysis and track issues"
>reporting new problems and usability issues</a>,
<li> <a target="_blank"
href="http://page.axiom-developer.org/zope/mathaction/AxiomPromotion"
title="About Axiom and promoting its use in the classroom and research"
>spreading the word</a>,
<li> <a target="_blank"
href="http://axiom-developer.org/donate.html"
title="Please give generously to the Axiom Foundation"
>donating funds</a>.
</ul>
(<i>Note: links will open in a new window.</i>)
</p>
<p>
The AxiomFoundation appreciates your support!
</p>
<p>

<form name="nag">
<a href="&dtml-continue;"
class="hover-red"><input type="button" name="Continue"
value="Continue Download" class="hover-red"></a>
&nbsp;&nbsp;&nbsp;&nbsp;
<a href="http://axiom-developer.org/donate.html"
class="hover-red"><input type="button" name="Donate"
value="Donate Funds" class="hover-red"></a>
</form>
--
forwarded from http://page.axiom-developer.org/zope/mathaction/Mirrors#msg20050329203636-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--

??changed:
-  * "February 2005 sources":http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-20050201-src.tgz
  * "February 2005 sources":http:Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-20050201-src.tgz&it=February+2005+source+code

??changed:
-    (binary)":http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Feb2005-Redhat9-bin.tgz
    (binary)":http:Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Feb2005-Redhat9-bin.tgz&it=RedHat+9+binary

??changed:
-  - "Fedora Core 1 (binary)":http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Feb2005-Fedora1-bin.tgz
  - "Fedora Core 1 (binary)":http:Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Feb2005-Fedora1-bin.tgz&it=Fedora+Core+1+binary

??changed:
-   (binary)":http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Feb2005-Fedora3-bin.tgz
   (binary)":http:Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Feb2005-Fedora3-bin.tgz&it=Fedora+Core+3+binary

??changed:
-  * "Windows (exe) version 0.1.4":http://page.axiom-developer.org/axiom-windows-0.1.4.exe ${\bf \longleftarrow}$ **Recommended Download** 
  * "Windows version 0.1.4":http:Mirrors?go=http://page.axiom-developer.org/axiom-windows-0.1.4.exe&it=Windows+version+0.1.4 ${\bf \longleftarrow}$ **Recommended Download** 

??changed:
-  * "Windows (exe) version 0.1.3":http://page.axiom-developer.org/axiom-windows-0.1.3.exe
  * "Windows version 0.1.3":http:Mirrors?go=http://page.axiom-developer.org/axiom-windows-0.1.3.exe&it=Windows+version+0.1.3

??changed:
-  - "Windows (exe) version 0.1.2":http://page.axiom-developer.org/axiom-windows-0.1.2.exe
-
-    (19 Mb.) Easy windows installation program (Thankyou Dan Martens!) . This version includes an
-    upgraded TeXmacs interface featuring the same sophisticated mathematical equation wrapping
-    software as used here on MathAction. An improved TeXmacs stylesheet for Axiom is also available.
-    Please refer to the updated TeXmacs installation notes. The performace of this version of Axiom
-    has been optimized by a special "double-pass" compilation step. The original windows version of
-    Axiom was prepared by Mike Thomas.
-
-  Also check here for other (older) versions compiled on specific platforms: 
-
-  - Savannah "Download section":http://savannah.nongnu.org/download/axiom
-   
-  - Debian "package":http://packages.debian.org/testing/math/axiom.html
    Easy windows installation program (courtesy of Dan Martens!).
    The original windows version of Axiom was prepared by Mike Thomas.

 
  * "Debian version":http:Mirrors?go=http://packages.debian.org/testing/math/axiom.html&it=Debian+version

--
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Changes http://page.axiom-developer.org/zope/mathaction/Mirrors/diff
--

??changed:
-<dl><dt>You are about to download <b><dtml-var name></b> ...</dt>
<dl><dt>You are about to download
<b><dtml-if it><dtml-var it><dtml-else>something</dtml-if></b> ...</dt>

??changed:
-When you press the &quot;Continue Download&quot; button below, your
-download will begin. But before do, we would like to remind you of
-some opportunities to give something back.
-</p><p><b><dtml-var name></b> is provided to you at no charge
-and you have every right to redistribute it to others (according
-to license). In return we depend on people like you - those who
-are willing to contribute their voluntary time, effort and donations
-to ensure that all of Axiom remains free and that timely enhancements
-will continue to be available to everyone.
When you press the &quot;Continue Download&quot; button below, the
transfer will begin. But before you do, we would like to remind you
of some opportunities to give something back.
</p><p>
<b><dtml-if it><dtml-var it><dtml-else>This</dtml-if></b>
is provided to you at no charge and you have a right to redistribute
it to others (according to license). In return we depend on people like
you - those who are willing to volunteer their time, effort and
donations to ensure that all of Axiom remains free and that timely
enhancements continue to be available to everyone.

--removed:
-

??changed:
-title="An overview of what to do, how to submit patches and new material."
->contributing your programming skills and/or expertise in mathematics</a>,
title="An overview of what to do, how to submit patches and new material.">
contributing your programming skills and/or expertise in mathematics</a>,

??changed:
-title="There are several ways to stay in connect with the Axiom community."
->joining the mailing list, subscribing to the newsfeed</a>,
title="There are several ways to stay in connect with the Axiom community.">
joining the mailing list, subscribing to the newsfeed</a>,

??changed:
-title="to the Axiom documentation and maintaining this web site (It's a wiki!)"
->contributing your editorial skills</a>,
title="to the Axiom documentation and maintaining this web site (It's a wiki!)">
contributing your editorial skills</a>,

??changed:
-title="Review bug reports, analysis and track issues"
->reporting new problems and usability issues</a>,
title="Review bug reports, analysis and track issues">
reporting new problems and usability issues</a>,

??changed:
-title="About Axiom and promoting its use in the classroom and research"
->spreading the word</a>,
title="About Axiom and promoting its use in the classroom and research">
spreading the word</a>,

??changed:
-title="Please give generously to the Axiom Foundation"
->donating funds</a>.
title="Please give generously to the Axiom Foundation">
donating funds</a>.

??changed:
-(<i>Note: links will open in a new window.</i>)
(<i><small>Note: These links will open a new window.</small></i>)

??changed:
-
-<form name="nag">
-<a href="&dtml-continue;"
-class="hover-red"><input type="button" name="Continue"
-value="Continue Download" class="hover-red"></a>
<form action="mirrors">
<a href="<dtml-if go>&dtml-go;<dtml-else>http:/zope/mathaction/AxiomDownload</dtml-if>" class="hover-red">
<input type="button" name="Continue" value="Continue Download" class="hover-red" /></a>

??changed:
-<a href="http://axiom-developer.org/donate.html"
-class="hover-red"><input type="button" name="Donate"
-value="Donate Funds" class="hover-red"></a>
<a href="http://axiom-developer.org/donate.html" class="hover-red">
<input type="button" name="Donate" value="Donate Funds" class="hover-red" /></a>

++added:
</p>

--
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--

??changed:
-    ${\bf \longleftarrow}$ **Recommended Download**
    ${\bf\longleftarrow}$ **Recommended Download**

??changed:
-  * "Windows version 0.1.4":http:Mirrors?go=http://page.axiom-developer.org/axiom-windows-0.1.4.exe&it=Windows+version+0.1.4 ${\bf \longleftarrow}$ **Recommended Download** 
  * "Windows version 0.1.4":http:Mirrors?go=http://page.axiom-developer.org/axiom-windows-0.1.4.exe&it=Windows+version+0.1.4 ${\bf\longleftarrow}$ **Recommended Download** 

--
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Changes http://page.axiom-developer.org/zope/mathaction/TodoList/diff
--

--removed:
-3 Communities to inform of a release
-
-  - General Public
-
-    - slashdot  
-    
-    - freshmeat
-
-  - Maths and computer algebra 
-    
-    - Universities
-
-    - PlanetMath, newsgroups
-
-    - special math portals I don't know by heart
-
-    - special interest groups like the RISC in Linz, Neil Sloane regarding my
-      guessing package, Séminaire Lotharingien de Combinatoire regarding
-      combinatorial software (there is some great stuff in the Axiom book, this
-[17 more lines...]

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Changes http://page.axiom-developer.org/zope/mathaction/TheAxiomCommunity/diff
--

++added:
News Feeds

  You can use a NewsReader (e.g. FireFox "active" bookmarks) to
efficiently keep track of changes going on here. For subscriptions:

"new pages":http:FrontPage/pages_rss -- See MathActionRSS

"individual edits":http:FrontPage/changes_rss -- See MathActionRSSedit


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Changes http://page.axiom-developer.org/zope/mathaction/AxiomPromotion/diff
--
1 Communities to inform of a release

  - General Public

    - "slashdot":http://slashdot.org
    
    - "freshmeat":http://freshmeat.net

  - Maths and computer algebra 
    
    - Universities

    - "PlanetMath":http://planetmath.org, newsgroups

    - special math portals I don't know by heart

    - special interest groups like the RISC in Linz, Neil Sloane regarding my
      guessing package, Séminaire Lotharingien de Combinatoire regarding
      combinatorial software (there is some great stuff in the Axiom book, this
      should be pointed out.

    - "Aldor people":http://www.aldor.org

    - "Maxima people":http://maxima.sourceforge.net

    - MuPAD-combinat. Ask them for cooperation, I'm pretty sure that some of
      them are interested.

  - Physicists

  - Lisp (via newsgroups and CLIKI. A CMUCL/SBCL port would be nice. I think
  some work has been done here already)

  - LaTeX and TeXmacs (why not. MathAction and the pamphlet project is related
  to LaTeX)

  - emacs. Yes, I think we should make as much noise as possible.
--
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??changed:
-"online":http://page.axiom-developer.org/zope/Plone/refs/books/axiom-book2.pdf
"online":http:Mirrors?go=http://page.axiom-developer.org/zope/Plone/refs/books/axiom-book2.pdf&it=Axiom+Book

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Changes http://page.axiom-developer.org/zope/mathaction/63BugsProblemsRaisingAUTSToANegativeIntegerPower/diff
--
\begin{axiom}
)version
\end{axiom}
--
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Changes http://page.axiom-developer.org/zope/mathaction/63BugsProblemsRaisingAUTSToANegativeIntegerPower/diff
--

??changed:
-From BillPage Fri Jan 21 23:52:32 -0600 2005
-From: Bill Page
-Date: Fri, 21 Jan 2005 23:52:32 -0600
-Subject: (new) Problems raising a UTS to a negative integer power
-Message-ID: <20050122-055154.sv12157.90245@savannah.nongnu.org>
-
-
-This is an automated notification sent by Savannah.
-It relates to:
-		bugs #10312, project Axiom Computer Algebra System
-
-==============================================================================
- LATEST MODIFICATIONS of bugs #10312:
-==============================================================================
-
-               Posted by: Bill Page <billpage1>
-               Posted on: 2005-01-22 05:51 (Canada/Eastern)
-    _______________________________________________________
-
-[26 more lines...]
It relates to::

  bugs #10312, project Axiom Computer Algebra System

LATEST MODIFICATIONS of bugs #10312::

  Posted by: Bill Page <billpage1>
  Posted on: 2005-01-22 05:51 (Canada/Eastern)

  Status:                    None -> transferred            


OVERVIEW of bugs #10312::

  URL:

  http://savannah.nongnu.org/bugs/?func=detailitem&item_id=10312

Summary -- Problems raising a UTS to a negative integer power

Project -- Axiom Computer Algebra System

Submitted by -- kratt6

Submitted on -- Tue 09/07/2004 at 14:28

Category -- algebra

Severity -- 5 - Average

Item Group -- code bug

Status -- transferred

Privacy -- Public

Assigned to -- billpage1

Originator Name -- 

Originator Email --

Open/Closed -- Open

Release --

Reproducibility -- None

Fixed Release --

Error message --  >> Error detected within library code:


??changed:
-
-protected-symbol-warn called with (NIL)
-Example of code trigerring the bug: p:=(1/2+n)::UTS(FRAC INT, 'n, 0)
-(p**(-1))$UTS(FRAC INT, 'n, 0)
-
-          Internal cause: 
-
-    _______________________________________________________
-
-
-The code below raises an unnecessary error. The problem 
-is in sttaylor.spad/powern, where no distinction between rational and integer
-powers are made.
   protected-symbol-warn called with (NIL)

Example of code trigerring the bug:

  \begin{axiom}
  p:=(1/2+n)::UTS(FRAC INT, 'n, 0)
  \end{axiom}
  \begin{axiom}
  (p**(-1))$UTS(FRAC INT, 'n, 0)
  \end{axiom}

Internal cause: 

  The code raises an unnecessary error. The problem 
is in sttaylor.spad/powern, where no distinction between rational
and integer powers are made.

??changed:
-
-
-    _______________________________________________________
-
-Follow-up Comments:
-
-
--------------------------------------------------------
-Date: Wed 09/08/2004 at 09:09       By: Martin Rubey <kratt6>
-resolved in patch #3349
-
-
-
-
-
-
-
-
-==============================================================================
-[6 more lines...]
Follow-up Comments::

  Date: Wed 09/08/2004 at 09:09
  By: Martin Rubey <kratt6>
  resolved in patch #3349

--removed:
-

--
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Changes http://page.axiom-developer.org/zope/mathaction/63BugsProblemsRaisingAUTSToANegativeIntegerPower/diff
--
Status: open => testing 

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Subject: [Axiom-developer] [Axiom-mail] New to Axiom: Implement 'Balanced'
	FiniteField ?
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Greetings,

(I'm more of a pencil-n-paper math guy.)

A BalancedFiniteField representation of an integer n would be:
  the same as FiniteField (base) if n <= floor(n/2)
  else base - floor(n/2)

Examples:

base of 4     base of 5 
n  FF BFF     n  FF BFF 
----------    ----------
0  0   0      0  0   0  
1  1   1      1  1   1  
2  2   2      2  2   2  
3  3  -1      3  3  -2  
4  0   0      4  0  -1  
5  1   1      5  1   0  
              6  0   0  
                        
After reading the book chapters on Packages, Categorys, and Domains, I find 
that I'm no more clear on which is an effective way to get this output.

Thanks for any help,

--jim



		
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Changes http://page.axiom-developer.org/zope/mathaction/128ErrorDisplayingACertainNestedList/diff
--

??changed:
-As you can see, the following messes up MathActions display. The error goes away if we
As you can see, the following messes up the MathAction display. The error goes away if we

??changed:
-l := [1, 1, 1+q, 1+q+q^2, 1+q+q^2+q^3+q^4, 1+q+q^2+q^3+2*q^4+q^5+q^6, 1+q+q^2+q^3+2*q^4+2*q^5+2*q^6+q^7+q^8+q^9, (1+q^4+q^6)*(1+q+q^2+q^3+q^4+q^5+q^6), (1+q^4)*(1+q+q^2+q^3+q^4+q^5+2*q^6+2*q^7+2*q^8+2*q^9+q^10+q^11+q^12)];
\end{axiom}

\begin{axiom}
l := [1, 1, 1+q, 1+q+q^2, 1+q+q^2+q^3+q^4, 1+q+q^2+q^3+2*q^4+q^5+q^6, 1+q+q^2+q^3+2*q^4+2*q^5+2*q^6+q^7+q^8+q^9, (1+q^4+q^6)*(1+q+q^2+q^3+q^4+q^5+q^6), (1+q^4)*(1+q+q^2+q^3+q^4+q^5+2*q^6+2*q^7+2*q^8+2*q^9+q^10+q^11+q^12)]
)set output tex off
)set output algebra on

++added:

Uncomment to see error::

  !\begin{axiom}
  )set output tex on
  )set output algebra off
  -- guessPRec(n,l,i+->q^i)$GUESSP'
  \end{axiom}

--
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Subject: [Axiom-developer] [#47 complexForm(log(%i) - log(-%i))] 
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Changes http://page.axiom-developer.org/zope/mathaction/47ComplexFormLogILogI/diff
--

++added:
\begin{axiom}

++added:
\end{axiomi}

??changed:
--> simplify(%i*log(-%i) - %i*log(%i))
-
-     %i log(- %i) - %i log( %i)
-
--> normalize(%i*log(-%i) - %i*log(%i))
-
-     %i log(- %i) - %i log( %i)
-     
--> complexNormalize(%i*log(-%i) - %i*log(%i))
-
-     %i log(- %i) - %i log( %i)
\begin{axiom}
simplify(%i*log(-%i) - %i*log(%i))
normalize(%i*log(-%i) - %i*log(%i))
complexNormalize(%i*log(-%i) - %i*log(%i))
\end{axiom}

--removed:
-======================================================================
-
-
-

??changed:
-COMPARE:
-
-Derive 6.1>      LOG(#i) - LOG(-#i)
-Maple 9.5.2>     ln(I) - ln(-I);
-MuPAD 3.1>       ln(I) - ln(-I);
-Mathematica 5.1> Log[I] - Log[-I]
-Maxima 5.9.1>    RECTFORM(LOG(%I) - LOG(-%I));
-
-                 #i*pi
COMPARE::

  Derive 6.1>      LOG(#i) - LOG(-#i)
  Maple 9.5.2>     ln(I) - ln(-I);
  MuPAD 3.1>       ln(I) - ln(-I);
  Mathematica 5.1> Log[I] - Log[-I]
  Maxima 5.9.1>    RECTFORM(LOG(%I) - LOG(-%I));

#i*pi

??changed:
-(8) -> argument(%i)
-
-        %pi
-   (8)  ---
-         2
-                                                     Type: Expression Integer
-(9) -> argument(-%i)
-
-        %pi
-   (9)  ---
-         2
-                                                     Type: Expression Integer
\begin{axiom}
argument(%i)
argument(-%i)
\end{axiom}

??changed:
-COMPCAT:
COMPCAT::

??changed:
-(15) -> argument(-%i*1.0)
-
-   (15)  - 1.5707963267 948966192
\begin{axiom}
argument(-%i*1.0)
\end{axioim}

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Subject: [Axiom-developer] [Guessing formulas for sequences] Updated
	bug-related note
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Changes http://page.axiom-developer.org/zope/mathaction/GuessingFormulasForSequences/diff
--

??changed:
-  There are two bugs in the version of Axiom currently run on this server that prevent 
-parts of the package from working properly. One bug, #63, prevents 'guessPade' from 
-working. Another bug, #8 messes up the output by missing some parenthesis. Preliminary
-patches for both are available, we hope that they will soon be fixed here, too.
  There is a bug (#8) in the version of Axiom currently running on this server that
messes up the output by missing some parenthesis. A preliminary - though a little 
unsatisfactory patch - is available. We hope that a proper fix will soon be applied.

??changed:
-Unfortunately, on MathAction this does not work yet, so we need to use 'guessPRec' instead:
Alternatively we could use 'guessPRec': Note however, that 'guessPRec' needs 
more terms of the sequence than 'guessPade' does:

--removed:
-)set output algebra on

--removed:
-)set output algebra off

++added:

Note that there is a parenthesis missing, as explained at the beginning of this 
page. The formula should read 
$\sum_{s_2=1}^{n-1}\prod_{p_4=1}^{s_2-1}\left(p_4+1\right)$, of course. 
Fortunately, this is only a problem with the output of Axiom. Subsequent
calculations will not be affected.

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Subject: [Axiom-developer] [#47 complexForm(log(%i) - log(-%i))] 
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Changes http://page.axiom-developer.org/zope/mathaction/47ComplexFormLogILogI/diff
--

??changed:
-\end{axiomi}
\end{axiom}

--removed:
-AXIOM Version of Wednesday December 15, 2004 at 00:50:38
-
-AXIOM ->         complexForm(log(%i) - log(-%i))
-
-                 0
-

??changed:
-  Derive 6.1>      LOG(#i) - LOG(-#i)
-  Maple 9.5.2>     ln(I) - ln(-I);
-  MuPAD 3.1>       ln(I) - ln(-I);
-  Mathematica 5.1> Log[I] - Log[-I]
-  Maxima 5.9.1>    RECTFORM(LOG(%I) - LOG(-%I));
-
-#i*pi
-                 I*Pi
-                 I*PI
-                 I*Pi
-                 %I %PI
-
-======================================================================
-
-Vladimir Bondarenko writes:
- > AXIOM ->         complexForm(log(%i) - log(-%i))
- > 
- >                  0
-
-[1 more lines...]
  Derive 6.1>      LOG(#i) - LOG(-#i)              gives #i*pi
  Maple 9.5.2>     ln(I) - ln(-I);                 gives I*Pi
  MuPAD 3.1>       ln(I) - ln(-I);                 gives I*PI
  Mathematica 5.1> Log[I] - Log[-I]                gives I*Pi
  Maxima 5.9.1>    RECTFORM(LOG(%I) - LOG(-%I));   gives %I %PI

However::

 AXIOM ->         complexForm(log(%i) - log(-%i))  gives 0
 
The problem is in the operation "argument":

??changed:
-\end{axioim}
\end{axiom}

--removed:
-

--
forwarded from http://page.axiom-developer.org/zope/mathaction/47ComplexFormLogILogI#msg20050330024348-0600@page.axiom-developer.org



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From: mathaction@axiom-developer.org (Martin Rubey)
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Subject: [Axiom-developer] [Axiom-mail] New to Axiom: Implement 'Balanced'
	FiniteField ?
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
It will roughly work as follows:


)abbrev domain BAL Balanced
Balanced(n:PositiveInteger):Exports == Implementation where
 
  Exports == with
    coerce: PrimeField n -> $
    coerce: $ -> OutputForm

--    coerce: $ -> PrimeField n

  Implementation == add
    Rep := Integer

    coerce(a: PrimeField n):$ == convert(a)@Integer - n
    coerce(x:%):OutputForm == coerce(x)$Rep

-------------------------------------------------------------------------------

If you need explanation, ask for it. (No time right now)

Martin

jim kraai writes:
 > Greetings,
 > 
 > (I'm more of a pencil-n-paper math guy.)
 > 
 > A BalancedFiniteField representation of an integer n would be:
 >   the same as FiniteField (base) if n <= floor(n/2)
 >   else base - floor(n/2)
 > 
 > Examples:
 > 
 > base of 4     base of 5 
 > n  FF BFF     n  FF BFF 
 > ----------    ----------
 > 0  0   0      0  0   0  
 > 1  1   1      1  1   1  
 > 2  2   2      2  2   2  
 > 3  3  -1      3  3  -2  
 > 4  0   0      4  0  -1  
 > 5  1   1      5  1   0  
 >               6  0   0  
 >                         
 > After reading the book chapters on Packages, Categorys, and Domains, I find 
 > that I'm no more clear on which is an effective way to get this output.
 > 
 > Thanks for any help,
 > 
 > --jim
 > 
 > 
 > 
 > 		
 > __________________________________ 
 > Do you Yahoo!? 
 > Make Yahoo! your home page 
 > http://www.yahoo.com/r/hs
 > 
 > 
 > _______________________________________________
 > Axiom-mail mailing list
 > Axiom-mail@nongnu.org
 > http://lists.nongnu.org/mailman/listinfo/axiom-mail



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--
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Changes http://page.axiom-developer.org/zope/mathaction/BalancedFiniteField/diff
--
>From jimkraai Wed Mar 30 01:51:52 -0600 2005
From: jim kraai
Date: Wed, 30 Mar 2005 01:51:52 -0600
Subject: New to Axiom:  Implement 'Balanced' FiniteField ?
Message-ID: <20050330074843.53261.qmail@web21006.mail.yahoo.com>

Greetings,

(I'm more of a pencil-n-paper math guy.)

A BalancedFiniteField representation of an integer n would be:
  the same as FiniteField (base) if n <= floor(n/2)
  else base - floor(n/2)

Examples::

  base of 4     base of 5 
  n  FF BFF     n  FF BFF 
  ----------    ----------
  0  0   0      0  0   0  
  1  1   1      1  1   1  
  2  2   2      2  2   2  
  3  3  -1      3  3  -2  
  4  0   0      4  0  -1  
  5  1   1      5  1   0  
                6  0   0  
                        
After reading the book chapters on Packages, Categorys, and Domains, I find 
that I'm no more clear on which is an effective way to get this output.

Thanks for any help,

--jim

<hr />

Perhaps this experimental code below will help. The new domain is based
on a simplified version of ZMOD. Notice that the definition of "balanced"
has been incorporated into the coerce function, taking care to avoid
division since it is not defined in these domains. But I am not certain
that this definition is exactly equivalent to Jim's definition above.

Are index and lookup correct for this representation?

\begin{axiom}
)abbrev domain BFF BalancedFiniteField
++ BalancedFiniteField(base) is based on ZMOD IntegerMod
BalancedFiniteField(p:PositiveInteger):
 Join(CommutativeRing, Finite, ConvertibleTo Integer, StepThrough) == add
    size()           == p
    characteristic() == p
    lookup x == ( x=0 => p; (convert(x)@Integer) :: PositiveInteger)

    Rep:= Integer

    convert(x:%):Integer == convert(x)$Rep
    coerce(n:Integer):%  == (mulmod(2,n,2*p)<=p =>
                              positiveRemainder(n, p);
                            (-positiveRemainder(p-n, p))::Integer)
                            
    coerce(x):OutputForm == coerce(x)$Rep
    0                    == 0$Rep
    1                    == 1$Rep
    init                 == 0$Rep
    nextItem(n)          ==
                              m:=n+1
                              m=0 => "failed"
                              m
    x = y                == x =$Rep y
    x:% * y:%            == mulmod(x, y, p)
    n:Integer * x:%      == mulmod(positiveRemainder(n::Rep, p), x, p)
    x + y                == addmod(x, y, p)
    x - y                == submod(x, y, p)
    random()             == random(p)$Rep
    index a              == positiveRemainder(a::Rep, p)
    - x                  == (zero? x => 0; p -$Rep x)
    x:% ** n:NonNegativeInteger == powmod(x, n::Rep, p)

    recip x ==
       (c1, c2, g) := extendedEuclidean(x, p)$Rep
       not (g = 1) => "failed"
       positiveRemainder(c1, p)

\end{axiom}

\begin{axiom}
for i in 0..5 repeat
  output([i,(i::ZMOD(4)),(i::BFF(4))])
\end{axiom}
\begin{axiom}
for i in 0..6 repeat
  output([i,i::ZMOD(5),i::BFF(5)])
\end{axiom}

Perhaps addition, subtraction and multiplication need to be examined
more closely.

\begin{axiom}
(-1::BFF(5))+(1::BFF(5))
(-1::BFF(5))-(1::BFF(5))
(1::BFF(5))+(1::BFF(5))
(2::BFF(5))*(3::BFF(5))
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/BalancedFiniteField#msg20050330061001-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/BalancedFiniteField/diff
--

??changed:
-                            (-positiveRemainder(p-n, p))::Integer)
                            (-positiveRemainder(p-n, p))$Rep)

--
forwarded from http://page.axiom-developer.org/zope/mathaction/BalancedFiniteField#msg20050330062243-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/BalancedFiniteField/diff
--
Alternatively::

  )abbrev domain BFF BalancedFiniteField
  BalancedFiniteField(p:PositiveInteger):Exports == Implementation where
    Exports == Join(FiniteFieldCategory, FiniteAlgebraicExtensionField($), 
                    ConvertibleTo(Integer)) with
      coerce: % -> OutputForm
    Implementation ==  InnerPrimeField(p) add
      if not prime?(p)\$IntegerPrimesPackage(Integer) then
        error "Argument to prime field must be a prime"
      coerce(x:%):OutputForm == 
        n:=convert(x)@Integer
        if mulmod(2,n,2*p)<=p 
        then positiveRemainder(n, p)::OutputForm
        else -positiveRemainder(p-n, p)::OutputForm
--
forwarded from http://page.axiom-developer.org/zope/mathaction/BalancedFiniteField#msg20050330071338-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--

--removed:
-
-

--removed:
-
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-On Wednesday, December 29, 2004 2:28 AM you wrote:
-> 
-> seems to be a categorical error of some sort.
-> 
-> A: Complex Polynomial Integer
-> 
-> tells the system that 'A' is expected to have a value which is
-> Complex Polynomial Integer.
-> 
-> 'conjugate' works on values, not potential values.
-> 
-> Thus, conjugate(A) has no meaning as 'A' has no value.
-> This should probably be an error.
-> 
-> If axiom could work with so that conjugate worked on the type
-> then axiom could work at some sort of an 'axiomatic' level
-> rather than a symbolic computation level. Perhaps when we join
-> forces with the ACL2 crowd we could state certain theorems and
-> have them applied in the absence of a value.
-> 

--removed:
-
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-> On Wednesday, December 29, 2004 2:28 AM you wrote:
-> > 
-> > seems to be a categorical error of some sort.
-> > 
-> > A: Complex Polynomial Integer
-> > 
-> > tells the system that 'A' is expected to have a value which is
-> > Complex Polynomial Integer.
-> > 
-> > 'conjugate' works on values, not potential values.
-> > 
-> > Thus, conjugate(A) has no meaning as 'A' has no value.
-> > This should probably be an error.
-> > 
-> > If axiom could work with so that conjugate worked on the type
-> > then axiom could work at some sort of an 'axiomatic' level
-> > rather than a symbolic computation level. Perhaps when we join
-> > forces with the ACL2 crowd we could state certain theorems and
-> > have them applied in the absence of a value.
-[29 more lines...]

--removed:
-
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-

++added:


??changed:
-                                                                       Type: Void
                                                      Type: Void

??changed:
-                                                                       Type: Void
                                                      Type: Void

??changed:
-                                                 Type: Complex Polynomial Integer
                                    Type: Complex Polynomial Integer

--removed:
-
-    "It's not the people who vote that count. It's the people who count the
-    votes." -- Joseph Stalin
-
-
-From root Fri Dec 31 03:21:28 -0600 2004
-From: root
-Date: Fri, 31 Dec 2004 03:21:28 -0600
-Subject: happy new year
-Message-ID: <200412311001.iBVA1qP10309@localhost.localdomain>
-
-*,
-
-Well, it's not merged yet and on linux only so far but ....
-
-axiom
-
-
-starts axiom and hypertex. from hypertex it is possible to go into
-[18 more lines...]

--removed:
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail
-
-

--removed:
-
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-In-Reply-To: <Pine.LNX.4.44.0501141611190.1928-100000@localhost.localdomain>
-	(message from bertrand roessli on Fri, 14 Jan 2005 16:14:34 +0100
-	(CET))

--removed:
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail
-
-
-From Billinghurst,David(CALCRTS) Tue Jan 18 16:58:15 -0600 2005
-From: Billinghurst,
-	David (CALCRTS)
-Date: Tue, 18 Jan 2005 16:58:15 -0600
-Subject: Building axiom on windows
-Message-ID: <026DCC31AB859648A6F16C0E5CD2580D03E4A4@calttsv025.cal.riotinto.org>
-
-I would like to try and build axiom under windows/mingw. I already know how to:
- - compile gcl-2.6.5 and gcl-2.6.6pre (from CVS)
- - compile, test and package maxima
- - compile and test ACL2
-[14 more lines...]

--removed:
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

??changed:
-In ...\mnt\windows\
In ...\mnt\windows\ ::

--removed:
-
-On Friday, January 14, 2005 7:05 AM Billinghurst, David (CALCRTS)
-wrote:
-
-> > 
-> > So this would be the minimum list of files that are needed
-> > by GCL in order to do a compile and where to put them?
-> > 
-> > I would also prefer to include these files in the Axiom
-> > installation program so that no other software installations
-> > are required by the user to get a fully functional system.
-> > 
->
- 
-> This is the setup for maxima-5.9.1, using gcc-3.3.1.  There
-> will be slight variation for other versions of gcc.
-> 
-> First we need to put gcc.exe somewhere in the path.
-> I think that the logical place is axiom/mnt/windows/bin.  
-[63 more lines...]

--removed:
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

??changed:
-> 
-> I am trying to make Axiom evaluate sum(1/k^2, k=1..n).  It 
-> returns the sum unevaluated.  I suspect that I should be
-> using the sum functions defined in package SUMRF,
-> RationalFunctionSum, but how do I make Axiom use those
-> functions?  For example, I tried
-> 
-> (1) -> sum(1/k^2, k=1..n)$SUMRF
-> 
->   Although RationalFunctionSum is the name of a constructor,
->   a full type must be specified in the context you have used
->   it. Issue
->        )show RationalFunctionSum for more information.
-> (1) ->
-> 


??changed:
-says:
-
-(2) -> )show RationalFunctionSum
says::

 (2) -> )show RationalFunctionSum

??changed:
-------------------------------- Operations --------------------------------
 --------------------------- Operations --------------------------------

??changed:
-RetractableTo Integer
RetractableTo Integer::

--removed:
-
-

??changed:
-exactly which one you mean.
-
-(2) -> )display op sum
-
-There are 6 exposed functions called sum :
exactly which one you mean.::

 (2) -> )display op sum

 There are 6 exposed functions called sum :

??changed:
-There are 5 unexposed functions called sum :
There are 5 unexposed functions called sum ::


??changed:
-                                          Type: Union(Expression
-Integer,...)
                          Type: Union(Expression Integer,...)

--removed:
-
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-
-
-> Kostas,
->
-> My previous reply did not address the issue of the reason why
-> Axiom returns the sum unevaluated. Here is what I could find out:
->
-> On Sunday, January 23, 2005 11:08 AM you wrote:
->>
->> I am trying to make Axiom evaluate sum(1/k^2, k=1..n).  It
->> returns the sum unevaluated.
->
-> I expect the reason that it returns unevaluated is because Axiom
-> is simply incomplete. For example Maple gives:
->
->> sum(1/k^2, k=1..n);
->                                       1   2
->                      -Psi(1, n + 1) + - Pi
->                                       6
-[43 more lines...]

--removed:
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail
-
-

--removed:
-
-On Sun, 30 Jan 2005 08:23:33 -0500
-  root <daly@idsi.net> wrote:
->The February 2005 release of Axiom has been posted to:
->
->  savannah.nongnu.org/projects/axiom
->  sourceforge.net/projects/axiom
->  arch.axiom-developer.org as axiom--main--1--patch-29
->
->This is the first "feature complete" release of Axiom. It 
->includes
->all of the algebra we have available, working graphics, 
->and a working
->hyperdoc browser. Once you build the system you can test 
->it by typing:
->
->axiom
->
->when the hyperdoc browser starts choose
-[137 more lines...]

--removed:
-On Sunday, January 30, 2005 1:23 PM Gilbert Baumslag wrote:
-> 
-> I looked in all three sites for the February release, but 
-> it appears nowhere to my relatively unpracticed eye. Is 
-> this release really where advertized below?
-> 
-> Gilbert
-> 
-> On Sun, 30 Jan 2005 08:23:33 -0500
->   root <daly@idsi.net> wrote:
-> >The February 2005 release of Axiom has been posted to:
-> >
-> >  savannah.nongnu.org/projects/axiom
-> >  sourceforge.net/projects/axiom
-> >  arch.axiom-developer.org as axiom--main--1--patch-29
-> >
-

--removed:
-
-Kostas Oikonomou writes:
- > 
- > But I was disappointed by the sum(1/k^2, k=1..n) example.  I saw that
- > Gosper's method is implemented in sum.spad.pamphlet, but this (rather
- > simple) sum needs symbolic manipulation of gamma and psi functions, which is
- > not there.  More generally, special functions seem to be handled only
- > numerically.  At least for my prospective use of Axiom, this points to a
- > rather big "hole". And I wonder how many others of this sort there are.
- > 
- > I also tried sum(1/(k*(k+a)), k=1..n).  That was also returned unevaluated,
- > although Gosper's method should handle it.

--removed:
-

--removed:
-
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-
-
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-
-Page, Bill wrote:
-
->Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
->--
->On Thursday, February 17, 2005 3:29 PM Ning Wang wrote:
->  
->
->>Can I define an infinite set by the axiom of comprehension
->>or the axiom of replacement?
->>
->>    
->>
->
->The short (but incomplete) answer is "no". At least not in an
->entirely abstract manner. But Axiom does provide tools
->specifically for dealing with "infinite", i.e. indefinitely
->large, lists called streams.
->
-[11 more lines...]

--removed:
-
-
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-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

--removed:
-
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail
-
-

--removed:
-
-On Thursday, March 17, 2005 12:29 AM Zoran Spasojevic wrote:
-> I previously compiled axiom without problems but this time
-> on Fedora Core 3 I get the  error below after a few minutes
-> of compiling. I would appreciate any suggestions that anyone
-> may have to resolve this problem.
-> Thanks,
-> Zoran
-> 
-> gcc -c -Wall -DVOL=volatile -fsigned-char -pipe -O3 
-> -fomit-frame-pointer  -I/home/zoran/axiom/lsp/gcl-2.6.5/o -I../h 
-> -I../gcl-tk sfasl.c
-> In file included from sfasl.c:40:
-> sfaslbfd.c: In function `fasload':
-> sfaslbfd.c:266: error: structure has no member named `_raw_size'
-> ...
-
-
-
-[3 more lines...]

--removed:
-
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-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

??changed:
-Examples:
-
-base of 4     base of 5 
-n  FF BFF     n  FF BFF 
-----------    ----------
-0  0   0      0  0   0  
-1  1   1      1  1   1  
-2  2   2      2  2   2  
-3  3  -1      3  3  -2  
-4  0   0      4  0  -1  
-5  1   1      5  1   0  
-              6  0   0  
Examples::

  base of 4     base of 5 
  n  FF BFF     n  FF BFF 
  ----------    ----------
  0  0   0      0  0   0  
  1  1   1      1  1   1  
  2  2   2      2  2   2  
  3  3  -1      3  3  -2  
  4  0   0      4  0  -1  
  5  1   1      5  1   0  
                6  0   0  

--removed:
-
-
-
-		
-__________________________________ 
-Do you Yahoo!? 
-Make Yahoo! your home page 
-http://www.yahoo.com/r/hs
-
-
-_______________________________________________
-Axiom-mail mailing list
-Axiom-mail@nongnu.org
-http://lists.nongnu.org/mailman/listinfo/axiom-mail

??changed:
-It will roughly work as follows:
-
-
-)abbrev domain BAL Balanced
-Balanced(n:PositiveInteger):Exports == Implementation where
- 
-  Exports == with
-    coerce: PrimeField n -> $
-    coerce: $ -> OutputForm
-
---    coerce: $ -> PrimeField n
-
-  Implementation == add
-    Rep := Integer
-
-    coerce(a: PrimeField n):$ == convert(a)@Integer - n
-    coerce(x:%):OutputForm == coerce(x)$Rep
-
--------------------------------------------------------------------------------
-[54 more lines...]
It will roughly work as follows::

  )abbrev domain BAL Balanced
  Balanced(n:PositiveInteger):Exports == Implementation where
 
    Exports == with
      coerce: PrimeField n -> $
      coerce: $ -> OutputForm

  --  coerce: $ -> PrimeField n

    Implementation == add
      Rep := Integer

      coerce(a: PrimeField n):$ == convert(a)@Integer - n
      coerce(x:%):OutputForm == coerce(x)$Rep

  ----------------------------------------------------------------

  If you need explanation, ask for it. (No time right now)

  Martin

  See also: BalancedFiniteField

--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg20050330084242-0600@page.axiom-developer.org



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Subject: [Axiom-developer] [Axiom-mail] New to Axiom: Implement 'Balanced'
	FiniteField ?
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Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Jim,

You might find the following web page usefule

http://page.axiom-developer.org/zope/mathaction/BalancedFiniteField

Bill Page.


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--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg68207C39878CC54695B4E7A1D58E098101B304C0@CORPORATEEX



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Tim,

Can you think of any reason why sending command to sman via
a pipe might not work? Or can you get it to work and I am
just doing something wrong? :)

I use this method on MathAction right now to send commands
to AXIOMsys with no problems. In the near future once I have
Axiom graphics running on MathAction, I will need to start
sman instead of AXIOMsys in order to setup the process handling
for graphics. But when I try to pipe commands to sman, even
with -noht -noclef options, sman just issues to prompts and
waits. It does not seem to try to read from stdin. If I try
to key in )quit and yes, etc. There is no reaction and I must
eventually kill the process(es).

It seems to me that sman must be doing something quite strange,
incompatible and old fashioned ...  Any ideas?

Regards,
Bill Page.



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Subject: [Axiom-developer] Re: piping axiom commands to sman
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Bill, 

I see the behavior you mentioned (I tried it too).
I'll try to figure out a way around it.

t



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Paul,

I came across your presentation "Quick Introduction to Clifford Algebras".
I'm the lead developer on Axiom, an open source computer algebra system
(http://page.axiom-developer.org). I'm documenting our clifford algebra
package and I'd like permission to quote your work as part of the 
documentation. Your glucat software is under the LGPL license but there
is no license associated with your presentation so I'm asking for explicit
permission.

Tim Daly





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Paul,

>Paul Leopardi wrote

>Thanks for the email message. You have my permission to quote. Apart from the 
>references to my presentation, you may want to consider the following work:

>Pertti Lounesto, "Introduction to Clifford algebras," in Lectures on Clifford 
>(geometric) algebras and applications, 1--29, Birkhäuser Boston, Boston, MA, 
>2004. 

Thanks for the permission and references.

>I do have a reviewed paper which contains similar content and much more. It is
>Paul Leopardi, "A generalized FFT for Clifford algebras", Bull. Belg. Math. 
>Soc. Simon Stevin  11 (2005), no. 5, 663-688
>http://ProjectEuclid.org:80/Dienst/UI/1.0/Summarize/euclid.bbms/1110205626

I saw your FFT paper which is quite interesting for another idea 
unrelated to the clifford algebra work. If I get the time I'll look
at that paper also.


I'm working with Bertfried Fauser to try and upgrade Axiom's clifford
algebra package. Since I'm not a domain expert I've been trying to
learn the material by documenting the existing code. Once I get a
good explanation of the existing work I'll be in a much stronger
position to make progress. Plus it is important to marry the literature
with the source code. This will strengthen both in the long run as the
literature makes the theory available and the code is the reduction to
practice.

I've picked up a book by Chris Doran and Anthony Lasenby "Geometric
Algebra for Physicists" Cambridge University Press 2003 ISBN 0-521-48022-1
which has sent me off into learning a bit of physics so I can understand
it better. But it is a useful book.

Clifford algebras seem to be a very hot topic among the physicists
these days so it's important to build support for this ability in axiom.
Since I'm not a physicist by training I've had to go learn a bit about
the wave equation, feynman diagrams, etc. in order to make (somewhat
glacial) progress.

Do you happen to have an email address for Pertti?
Tim





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Changes http://page.axiom-developer.org/zope/mathaction/MathCAD/diff
--
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integrate(log(sin(x)),x=0..%pi)
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--
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++added:
This is research supported by the Austrian Science Foundation FWF, grant S8302-MAT.


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??changed:
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Follow-up Comment #2, bug #10063 (project axiom):

Has been exported to page.axiom-developer.org

    _______________________________________________________

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Changes http://page.axiom-developer.org/zope/mathaction/138AsinComplex1000/diff
--
In trigcat.spad.pamphlet:
<br/>
asin x == atan(x/sqrt(1-x**2))
<br>
\begin{axiom}
asin(1.0)
asin(complex(1.0,0.0))
\end{axiom}

Bug from savannah.


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Changes http://page.axiom-developer.org/zope/mathaction/140AsinComplex1000/diff
--

Follow-up Comment #1, bug #10115 (project axiom):

Transferred to page.axiom-developer.org

    _______________________________________________________

Reply to this item at:

  <http://savannah.nongnu.org/bugs/?func=detailitem&item_id=10115>

_______________________________________________
  Message sent via/by Savannah
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Changes http://page.axiom-developer.org/zope/mathaction/141AtanTan33/diff
--
Severity: normal => serious 

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Changes http://page.axiom-developer.org/zope/mathaction/141AtanTan33/diff
--
iatan in Elemntry:
<br/>
is?(x, optan) => y
<br/>
but only if -pi/2 < y < pi/2
\begin{axiom}
atan(tan(3))
atan(tan(3.0))
\end{axiom}
Transferred from savannah

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??changed:
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Changes http://page.axiom-developer.org/zope/mathaction/140AsinComplex1000/diff
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Category:  => Axiom Compiler 
Severity:  => serious 
Status:  => duplicate 

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Subject: [Axiom-developer] [#139 Handling of power series] property change
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Changes http://page.axiom-developer.org/zope/mathaction/139HandlingOfPowerSeries/diff
--
Category:  => Axiom Compiler 
Severity:  => critical 
Status:  => duplicate 

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Changes http://page.axiom-developer.org/zope/mathaction/140AsinComplex1000/diff
--
Sorry, I doesn't know that it's directly transferred
from savannah
<br/>
Is it possible to remove this page ?
--
forwarded from http://page.axiom-developer.org/zope/mathaction/140AsinComplex1000#msg20050331125310-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/139HandlingOfPowerSeries/diff
--
<br/>
Sorry, I doesn't know that it's directly transferred
from savannah
<br/>
Is it possible to remove this page ?
--
forwarded from http://page.axiom-developer.org/zope/mathaction/139HandlingOfPowerSeries#msg20050331125233-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/142AtanTan33/diff
--

Follow-up Comment #1, bug #10067 (project axiom):

Transferred to page.axiom-developer.org


    _______________________________________________________

Reply to this item at:

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Changes http://page.axiom-developer.org/zope/mathaction/138AsinComplex1000/diff
--
bug #10115 (project axiom)
--
forwarded from http://page.axiom-developer.org/zope/mathaction/138AsinComplex1000#msg20050331125355-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/141AtanTan33/diff
--
bug #10067
--
forwarded from http://page.axiom-developer.org/zope/mathaction/141AtanTan33#msg20050331125845-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries/diff
--
bug #10063 (project axiom)
--
forwarded from http://page.axiom-developer.org/zope/mathaction/122HandlingOfPowerSeries#msg20050331125436-0600@page.axiom-developer.org



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Changes http://page.axiom-developer.org/zope/mathaction/142AtanTan33/diff
--
Sorry, I doesn't know that it's directly transferred from savannah
Is it possible to remove this page ?
--
forwarded from http://page.axiom-developer.org/zope/mathaction/142AtanTan33#msg20050331125753-0600@page.axiom-developer.org



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From: mathaction@axiom-developer.org (Bill Page)
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Date: Thu, 31 Mar 2005 16:44:05 -0600
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Subject: [Axiom-developer] [#143 atan(tan(3)) => 3] (new) atan(tan(3)) => 3
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Changes http://page.axiom-developer.org/zope/mathaction/143AtanTan33/diff
--

Update of bug #10067 (project axiom):

                  Status:                    None => transferred            


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