%% Oh Emacs, this is a -*- Makefile -*-, so give me tabs.
\documentclass{article}
\usepackage{axiom}

\title{\$SPAD/src/algebra Makefile}
\author{Timothy Daly \and Gabriel Dos~Reis}

\begin{document}
\maketitle

\begin{abstract}
\end{abstract}
\eject

\tableofcontents
\eject

\section{Adding new algebra}

This is a complex process by its very nature. Developers and Maintainers
who undertake the process need to understand quite a lot of detail. The
ultimate steps to add algebra are tedious but simple. Note that only
algebra code that gets shipped with the system needs to undergo this
process. User code can be compiled once the distributed algebra exists
and does not need either this Makefile or this installation process.

NOTE: If you add new algebra to this file you must also update

\File{src/algebra/exposed.lsp.pamphlet}

otherwise the new algebra won't be loaded by the interpreter when needed.

Since understanding is the key to making correct changes to this file
I'll work on explaining the details of why things need to exist. 

The first idea that you need to understand is the overall process
of adding algebra code. Lets assume that you have a brand new spad
file, called \File{foo.spad} containing a simple domain [[BAR]]. The
steps in the process of adding this file are:
\begin{enumerate}
\item Find out where the algebra code lives in the lattice.

You do this by 
\begin{enumerate}
\item starting a new interpsys session
\item collecting all the names of the algebra files BAR requires
\item determining which layer each of the required files resides
\item determine the highest layer (e.g. 14) that contains the required files
\end{enumerate}

\item insert the documentation into the next layer (e.g. 15)
\item insert the [[\${OUT}/BAR.$(FASLEXT)]] file into the layer's file list
\end{enumerate}

\section{Rebuilding the algebra from scratch}

Compile order is important. Here we try to define the ordered lattice
of spad file dependencies. However this is, in reality, a graph rather
than a lattice. In order to break cycles in this graph we explicitly
cache a few of the intermediate generated lisp code for certain files.
These are marked throughout (both here and in the various pamphlet
files) with the word {\bf BOOTSTRAP}.

If we take a cycle such as [[RING]] we discover that in order to
compile the spad code we must load the compiled definition of [[RING]].
In this case we must compile the cached lisp code before we try to 
compile the spad file.

The cycle for [[SETCAT]] is longer consisting of: [[SETCAT]] needs
{\bf SINT} needs {\bf UFD} needs {\bf GCDDOM} needs {\bf COMRING} needs
{\bf RING} needs {\bf RNG} needs {\bf ABELGRP} needs {\bf CABMON} needs
{\bf ABELMON} needs {\bf ABELSG} needs {\bf SETCAT}.

It is highly recommended that you try to become a developer of Axiom
and read the archived mailing lists before you decide to change a
cached file. In the fullness of time we will rewrite the whole algebra
structure into a proper lattice if possible. Alternatively we'll
reimplement the compiler to handle graphs. Or deeply adopt the
extensible domains. Whatever we do will be much discussed (and cause
much disgust) around the campfire. If you come up with a brilliant
plan that gets adopted we'll even inscribe your name on a log and add
it to the fire.

In the code that follows we find the categories, packages and domains
that compile with no dependencies and call this set ``layer 0''. Next
we find the categories, packages and domains that will compile using
only ``layer 0'' code and call this ``layer 1''. We walk up the
lattice in this fashion adding layers. Note that at layer 3 this
process runs into cycles and we create the ``layer 3 bootstrap''
stanzas before continuing upward.

\section{The Algebra Lattice Layers}

\subsection{Layer 0 Bootstrap}

\subsubsection{Completed spad files}

\begin{verbatim}
si.spad.pamphlet (INS SINT)
\end{verbatim}

Note well that none of the algebra stanzas should include these
files in the preconditions otherwise we have an infinite compile
loop. These files are originally bootstrapped from lisp code
when we build the system for the first time but they are
forcibly recompiled at the end of the build so they reflect
current code (just in case someone changes the spad code but
does not re-cache the generated lisp). If you add these files
as preconditions (note that they are all in the \File{strap/}
directory rather than the {\bf OUT} directory like everything
else) then the final recompile will invalidate all of the
rest of the algebra targets which will get rebuilt again causing
these targets to be out of date. The rest of the loop is left
up to the student.

The bootstrap process works because first we ask for the compiled
lisp code stanzas (the \File{strap/BAR.$(FASLEXT)} files), THEN we ask for
the final algebra code stanzas (the [[\${OUT}/BAR.$(FASLEXT)]] files). This
is a very subtle point so think it through carefully. Notice that
this is the only layer calling for \File{strap/} files. All other 
layers call for [[\${OUT}]] files. If you break this the world
will no longer compile so don't change it if you don't understand it.

\begin{verbatim}
LAYER0BOOTSTRAP=${OUT}/XPR.$(FASLEXT) 
\end{verbatim}

<<layer0 bootstrap>>=
# The list of objects necessary to bootstrap the whole algebra library.
axiom_algebra_layer_strap = \
	$(addprefix strap/,$(axiom_algebra_bootstrap))

axiom_algebra_layer_strap_objects = \
	$(addsuffix .$(FASLEXT),$(axiom_algebra_layer_strap))

@
<<layer0 copy>>=

axiom_algebra_bootstrap = \
  ABELGRP  ABELGRP- ABELMON  ABELMON- \
  ABELSG   ABELSG-  ALAGG    BOOLEAN  \
  CABMON   CHAR     CLAGG    CLAGG-   \
  COMRING  DFLOAT   DIFRING  DIFRING- \
  DIVRING  DIVRING- ENTIRER  ES       \
  ES-      EUCDOM   EUCDOM-  FFIELDC  \
  FFIELDC- FPS      FPS-     GCDDOM   \
  GCDDOM-  HOAGG    HOAGG-   ILIST    \
  INS      INS-     INT      INTDOM   \
  INTDOM-  ISTRING  LIST     LNAGG    \
  LNAGG-   LSAGG    LSAGG-   MONOID   \
  MONOID-  MTSCAT   NNI      OINTDOM  \
  ORDRING  ORDRING- OUTFORM  PI       \
  PRIMARR  POLYCAT  POLYCAT- PSETCAT  \
  PSETCAT- QFCAT    QFCAT-   RCAGG    \
  RCAGG-   REF      RING     RING-    \
  RNG      RNS      RNS-     SETAGG   \
  SETAGG-  SETCAT   SETCAT-  SINT     \
  STAGG    STAGG-   SYMBOL   TSETCAT  \
  TSETCAT- UFD      UFD-     ULSCAT   \
  UPOLYC   UPOLYC-  URAGG    URAGG-   \
  VECTOR

axiom_algebra_bootstrap_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_bootstrap))

axiom_algebra_bootstrap_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT), $(axiom_algebra_bootstrap)))
@

\subsection{Layer 0}

\subsubsection{Completed spad files}

\begin{verbatim}
attreg.spad.pamphlet  (ATTREG)
dhmatrix.spad.pamphlet (DHMATRIX)
omcat.spad.pamphlet   (OM)
print.spad.pamphlet   (PRINT)
ptranfn.spad.pamphlet (PTRANFN)
system.spad.pamphlet  (MSYSCMD)
\end{verbatim}

<<layer0>>=

axiom_algebra_layer_0 = \
  AHYP     ATTREG   CFCAT    ELTAB    KOERCE   KONVERT  \
  MSYSCMD  ODEIFTBL OM       OMCONN   OMDEV    OUT      \
  PRIMCAT  PRINT    PTRANFN  SPFCAT   TYPE     UTYPE    \
  PROPLOG  PROPERTY BASTYPE  BASTYPE- CATEGORY LMODULE  \
  RMODULE  FINITE   STEP     SGROUP   SGROUP-  ABELSG   \
  ABELSG-  ORDSET   ORDSET-  FNCAT    FILECAT  SEXCAT   \
  MKBCFUNC MKRECORD MKUCFUNC DROPT1   PLOT1    ITFUN2   \
  ITFUN3   STREAM1  STREAM2  STREAM3  ANY1     SEGBIND2 \
  COMBOPC  EQ2      NONE1

axiom_algebra_layer_0_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_0))

axiom_algebra_layer_0_objects = \
	$(addprefix $(OUT)/, \
           $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_0)))
@

\subsection{Layer 1}

\subsubsection{Completed spad files}

\begin{verbatim}
ituple.spad.pamphlet   (ITFUN2 ITFUN3 ITUPLE)
mkrecord.spad.pamphlet (MKRECORD)
pcurve.spad.pamphlet   (PPCURVE PSCURVE)
coerce.spad.pamphlet   (TYPE KOERCE KONVERT RETRACT)
\end{verbatim}

<<layer1>>=
axiom_algebra_layer_1 = \
  AGG      AGG-     IEVALAB  IEVALAB- FORTCAT   ITUPLE   \
  PATAB    PPCURVE  PSCURVE  REAL     RESLATC   RETRACT  \
  RETRACT- SEGCAT   BINDING  SYNTAX   BMODULE   LOGIC    \
  LOGIC-   EVALAB   EVALAB-      FEVALAB  FEVALAB- 

axiom_algebra_layer_1_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_1))

axiom_algebra_layer_1_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_1)))
@

\subsection{Layer 2}

\subsubsection{Completed spad files}

<<layer2>>=
axiom_algebra_layer_2 = \
  ELTAGG   ELTAGG- FMC      FMFUN   FORTFN   FVC     \
  CTORCALL FVFUN   INTRET   IXAGG   IXAGG-   SEGXCAT \
  CONTOUR  LIST3   MKFUNC   OASGP

axiom_algebra_layer_2_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_2))

axiom_algebra_layer_2_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_2)))
@

\subsection{Layer 3}

\subsubsection{Completed spad files}

\begin{verbatim}
grdef.spad.pamphlet (GRDEF)
\end{verbatim}

<<layer3>>=
axiom_algebra_layer_3 = \
   GRDEF     SCOPE    MAPHACK1 MAPHACK2 MAPHACK3 MAPPKG1  \
   MAPPKG2   MAPPKG3  INTBIT   MONAD    MONAD-   



axiom_algebra_layer_3_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_3))

axiom_algebra_layer_3_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_3)))
@

\subsubsection{Completed spad files}

\begin{verbatim}
annacat.spad.pamphlet (NIPROB ODEPROB PDEPROB OPTPROB NUMINT ODECAT PDECAT
                       OPTCAT)
color.spad.pamphlet (COLOR PALETTE)
mappkg.spad.pamphlet (MAPHACK1 MAPHACK2 MAPHACK3 MAPPKG1 MAPPKG2 MAPPKG3)
paramete.spad.pamphlet (PARPCURV PARPC2 PARSCURV PARSC2 PARSURF PARSU2
suchthat.spad.pamphlet (SUCH)
ystream.spad.pamphlet (YSTREAM)
\end{verbatim}

<<layer4>>=
axiom_algebra_layer_4 = \
  ANON     COLOR    COMM     COMPPROP ESCONT1  EXIT     \
  FAMONC   FORMULA1 IDPC     NIPROB   NONE     NUMINT   \
  ODECAT   ODEPROB  OMENC    ONECOMP2 OPTCAT   OPTPROB  \
  PALETTE  PARPCURV PARPC2   PARSCURV PARSC2   PARSURF  \
  PARSU2   PATMAB   PATRES2  PATTERN1 PDECAT   PDEPROB  \
  REPSQ    REPDB    RFDIST   RIDIST   SPACEC   SPLNODE  \
  SUCH     TEX1     UDVO     YSTREAM  PAIR     ENV      \
  ATRIG    ATRIG-   GROUP    GROUP-   LALG     LALG-    \
  OAMON    BGAGG    BGAGG-   BRAGG    BRAGG-   ELAGG    \
  ELAGG-  DLAGG     MODULE  MODULE-  


axiom_algebra_layer_4_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_4))

axiom_algebra_layer_4_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_4)))
@

\subsection{Layer 5}

<<layer5>>=
axiom_algebra_layer_5 = \
  CACHSET  CHARNZ   CHARZ    DVARCAT  DVARCAT- ELEMFUN  \
  ELEMFUN- ESTOOLS2 FCOMP    FPATMAB  IDPAM    IDPO     \
  INCRMAPS KERNEL2  LINEXP   MODMONOM MONADWU  MONADWU- \
  MRF2     NARNG    NARNG-   NSUP2    ODVAR    OPQUERY  \
  ORDFIN   ORDMON   PATMATCH PERMCAT  PDRING   PDRING-  \
  SDVAR    SUP2     TRIGCAT  TRIGCAT- ULS2     UP2      \
  ELABEXPR OCAMON

axiom_algebra_layer_5_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_5))

axiom_algebra_layer_5_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_5)))
@

\subsection{Layer6}

\subsubsection{Completed spad files}

\begin{verbatim}
fmod.spad.pamphlet (ZMOD)
sortpak.spad.pamphlet (SORTPAK)
\end{verbatim}

<<layer6>>=
axiom_algebra_layer_6 = \
  ALGEBRA ALGEBRA- AUTOMOR  CARTEN2 CHARPOL  COMPLEX2 \
  DIFEXT  DIFEXT-  ES1      ES2     GRMOD    GRMOD-   \
  HYPCAT  HYPCAT-  MKCHSET  MODRING NASRING  NASRING- \
  SORTPAK ZMOD     PRQAGG   QUAGG   SKAGG    DQAGG    \
  PID     OAGROUP  OAMONS

axiom_algebra_layer_6_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_6))
axiom_algebra_layer_6_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_6)))
@

\subsection{Layer7}

\subsubsection{Completed spad files}

\begin{verbatim}
\end{verbatim}

<<layer7>>=
axiom_algebra_layer_7 = \
  BTCAT  BTCAT-  LNAGG    LNAGG-   FMCAT   IDPOAM   \
  IFAMON GRALG   GRALG-   FLAGG    FLAGG-             

axiom_algebra_layer_7_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_7))

axiom_algebra_layer_7_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_7)))
@

\subsection{Layer8}

\subsubsection{Completed spad files}

\begin{verbatim}
card.spad.pamphlet (CARD)
fortcat.spad.pamphlet (FORTFN FMC FORTCAT FVC FMTC FMFUN FVFUN)
\end{verbatim}

<<layer8>>=
axiom_algebra_layer_8 = \
  BSTREE  BTOURN   CARD     DRAWHACK  FACTFUNC FMTC  \
  FR2     FRAC2    FRUTIL   ITAYLOR   MLO      NAALG \
  NAALG-  OP       ORDCOMP2 RANDSRC   UNISEG2  XALG  \
  FIELD   FIELD-   A1AGG    A1AGG-    ARR2CAT  ARR2CAT-

axiom_algebra_layer_8_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_8))

axiom_algebra_layer_8_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_8)))
@

\subsection{Layer9}

\subsubsection{Completed spad files}

\begin{verbatim}
degred.spad.pamphlet (DEGRED)
indexedp.spad.pamphlet (IDPC IDPO IDPAM IDPOAM  IDPOAMS IDPAG)
product.spad.pamphlet (PRODUCT)
retract.spad.pamphlet (RETRACT FRETRCT RATRET)
sf.spad.pamphlet (REAL RADCAT RNS FPS DFLOAT)
\end{verbatim}

<<layer9>>=
axiom_algebra_layer_9 = \
  AMR      AMR-     DEGRED  DLP      EAB      ESTOOLS1 \
  FAGROUP  FAMONOID FLINEXP FLINEXP- FRETRCT  FRETRCT- \
  FSERIES  FT       IDPAG   IDPOAMS  INFINITY LA       \
  OMLO     ORTHPOL  PRODUCT PADICCT  PMPRED   PMASS    \
  PTFUNC2  RADCAT   RADCAT- RATRET   RADUTIL  UPXS2    \
  XFALG    ZLINDEP  BBTREE  LSAGG    LSAGG-   SRAGG    SRAGG-    STRICAT    


axiom_algebra_layer_9_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_9))

axiom_algebra_layer_9_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_9)))
@

\subsection{Layer10}

\subsubsection{Completed spad files}

\begin{verbatim}
complet.spad.pamphlet (ORDCOMP ORDCOMP2 ONECOMP ONECOMP2 INFINITY)
cra.spad.pamphlet (CRAPACK)
defaults.spad.pamphlet (REPSQ REPDB FLASORT)
drawpak.spad.pamphlet (DRAWCX)
free.spad.pamphlet (LMOPS FMONOID FGROUP FAMONC IFAMON FAMONOID FAGROUP)
fourier.spad.pamphlet (FCOMP FSERIES)
functions.spad.pamphlet (BFUNCT)
mesh.spad.pamphlet (MESH)
moebius.spad.pamphlet (MOEBIUS)
mring.spad.pamphlet (MRING MRF2)
opalg.spad.pamphlet (MODOP OP)
partperm.spad.pamphlet (PARTPERM)
pgrobner.spad.pamphlet (PGROEB)
plottool.spad.pamphlet (PLOTTOOL)
setorder.spad.pamphlet (UDPO UDVO)
sttaylor.spad.pamphlet (STTAYLOR)
tableau.spad.pamphlet (TABLBUMP TABLEAU)
viewpack.spad.pamphlet (VIEW)
\end{verbatim}

<<layer10>>=
axiom_algebra_layer_10 = \
  ASP34    BFUNCT   BPADIC   \
  BTREE    CRAPACK  DEQUEUE  DLIST    \
  DRAWCX   D01GBFA  D02EJFA  D03FAFA  \
  DRAWPT   FAMR     FAMR-    FLASORT  \
  FLAGG2   FGROUP   FM       FM1      \
  FPC      FPC-     FMONOID  INDE     \
  IPADIC   IROOT    IR2      LEXP     \
  LIECAT   LIECAT-  LIST2    LIST2MAP \
  LMOPS    LZSTAGG  LZSTAGG- MAGMA    \
  MESH     MOEBIUS  MODFIELD MODOP    \
  MRING    MTHING   NCNTFRAC NCODIV   \
  NUMTUBE  ODR      OFMONOID ONECOMP  \
  ORDCOMP  OREPCAT  OREPCAT- OWP      \
  PADIC    PATTERN2 PATLRES  PARTPERM \
  PBWLB    PENDTREE PGE      PGROEB   \
  PINTERP  PLOTTOOL PFR      PMDOWN   \
  PRTITION PMINS    PMLSAGG  PMTOOLS  \
  PSCAT    PSCAT-   QFORM    QUEUE    \
  SCACHE   SEG      SEG2     SEXOF    \
  STACK    STTAYLOR TABLBUMP TABLEAU  \
  TOPSP    TRANFUN  TRANFUN- TUBE     \
  UDPO     UNISEG   VIEW     VSPACE   \
  VSPACE-  XPOLYC   XPR    BTAGG    BTAGG-  


axiom_algebra_layer_10_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_10))

axiom_algebra_layer_10_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_10)))
@

\subsection{Layer11}

\subsubsection{Completed spad files}

\begin{verbatim}
array1.spad.pamphlet (PRIMARR PRIMARR2 TUPLE IFARRAY FARRAY IARRAY1 ARRAY1
                      ARRAY12)
bags.spad.pamphlet (STACK ASTACK QUEUE DEQUEUE HEAP)
combinat.spad.pamphlet (COMBINAT)
ffx.spad.pamphlet (IRREDFFX)
galutil.spad.pamphlet (GALUTIL)
matstor.spad.pamphlet (MATSTOR)
ore.spad.pamphlet (OREPCAT APPLYORE AUTOMOR OREPCTO ORESUP OREUP)
plot3d.spad.pamphlet (PLOT3D)
prtition.spad.pamphlet (PRTITION SYMPOLY)
stream.spad.pamphlet (LZSTAGG CSTTOOLS STREAM STREAM1 STREAM2 STREAM3)
trigcat.spad.pamphlet (ELEMFUN AHYP ATRIG HYPCAT TRANFUN TRIGCAT PRIMCAT
                       LFCAT CFCAT SPFCAT)
xlpoly.spad.pamphlet (MAGMA LWORD LIECAT FLALG XEXPPKG LPOLY PBWLB XPBWPOLY
                      LEXP)
xpoly.spad.pamphlet (OFMONOID FMCAT FM1 XALG XFALG XPOLYC XPR XDPOLY XRPOLY
                     XPOLY)
\end{verbatim}

<<layer11>>=
axiom_algebra_layer_11 = \
  STRING   \
  APPLYORE ARRAY1   ARRAY12  ARRAY2   \
  ASTACK   COMBINAT \
  CSTTOOLS D01FCFA  E04MBFA  FARRAY   \
  FLALG    GALUTIL  HEAP     IARRAY1  \
  IARRAY2  IFARRAY  INTCAT   INTHEORY \
  IRREDFFX LFCAT    LODOCAT  LODOCAT- \
  LWORD    MATCAT   MATCAT-  MATSTOR  \
  ORESUP   OREPCTO  OREUP    PLOT3D   \
  PR       PREASSOC PRIMARR2 REDORDER \
  STREAM   SYMPOLY  \
  TS       TUPLE    UPSCAT   UPSCAT-  \
  VECTCAT  VECTCAT- XDPOLY   XEXPPKG  \
  XF       XF-      XPBWPOLY XPOLY    \
  XRPOLY  

axiom_algebra_layer_11_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_11))

axiom_algebra_layer_11_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_11)))
@

\subsection{Layer12}

\subsubsection{Completed spad files}

\begin{verbatim}
\end{verbatim}

<<layer12>>=
axiom_algebra_layer_12 = \
  DIOPS    DIOPS-      \
  DIAGG   DIAGG-  BITS    DIRPROD2 IMATRIX  IVECTOR \
 LPOLY   LSMP     LSMP1    MATCAT2 \
 PTCAT   TRIMAT FSAGG    FSAGG-    

axiom_algebra_layer_12_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_12))

axiom_algebra_layer_12_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_12)))
@

\subsection{Layer13}

\subsubsection{Completed spad files}

\begin{verbatim}
carten.spad.pamphlet (GRMOD GRALG CARTEN CARTEN2)
catdef.spad.pamphlet (ABELGRP ABELMON ABELSG ALGEBRA BASTYPE BMODULE CABMON
                      CHARNZ CHARZ COMRING DIFRING DIFEXT DIVRING ENTIRER
                      EUCDOM FIELD FINITE FLINEXP GCDDOM GROUP INTDOM LMODULE
                      LINEXP MODULE MONOID OAGROUP OAMON OAMONS OASGP OCAMON
                      ORDFIN OINTDOM ORDMON ORDRING ORDSET PDRING PFECAT PID
                      RMODULE RING RNG SGROUP SETCAT STEP UFD VSPACE)
clifford.spad.pamphlet (QFORM CLIF)
clip.spad.pamphlet (CLIP)
coordsys.spad.pamphlet (COORDSYS)
dhmatrix.spad.pamphlet (DHMATRIX)
d02routine.spad.pamphlet (D02BBFA D02BHFA D02CJFA D02EJFA)
ffpoly2.spad.pamphlet (FFPOLY2)
irsn.spad.pamphlet (IRSN)
numode.spad.pamphlet (NUMODE)
numquad.spad.pamphlet (NUMQUAD)
perman.spad.pamphlet (GRAY PERMAN)
pseudolin.spad.pamphlet (PSEUDLIN)
rep2.spad.pamphlet (REP2)
sex.spad.pamphlet (SEXCAT SEXOF SEX)
solvedio.spad.pamphlet (DIOSP)
\end{verbatim}

<<layer13>>=
axiom_algebra_layer_13 = \
  KDAGG    KDAGG-   \
  ASSOCEQ  CARTEN   CLIF     CLIP     \
  COORDSYS DBASE    DHMATRIX DIOSP    \
  DIRPCAT  DIRPCAT- D02BBFA  D02BHFA  \
  D02CJFA  FAXF     FAXF-    FFPOLY2  \
  FNLA     GRAY     HB       IRSN     \
  MCALCFN  MHROWRED NUMODE   NUMQUAD  \
  ODESYS   ODETOOLS ORDFUNS  PERMAN   \
  PFECAT   PFECAT-  POINT    PSEUDLIN \
  PTPACK   REP2     SETMN    SEX      \
  SYMFUNC  VECTOR2     CHAR

axiom_algebra_layer_13_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_13))

axiom_algebra_layer_13_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_13)))
@

\subsection{Layer14}

\subsubsection{Completed spad files}

\begin{verbatim}
allfact.spad.pamphlet (MRATFAC MPRFF MPCPF GENMFACT RFFACTOR SUPFRACF)
array2.spad.pamphlet (ARR2CAT IIARRAY2 IARRAY2 ARRAY2)
bezout.spad.pamphlet (BEZOUT)
boolean.spad.pamphlet (REF LOGIC BOOLEAN IBITS BITS)
brill.spad.pamphlet (BRILL)
cden.spad.pamphlet (ICDEN CDEN UPCDEN MCDEN)
contfrac.spad.pamphlet (CONTFRAC NCNTFRAC)
cycles.spad.pamphlet (CYCLES EVALCYC)
cyclotom.spad.pamphlet (CYCLOTOM)
ddfact.spad.pamphlet (DDFACT)
equation2.spad.pamphlet (EQ EQ2 FEVALAB)
error.spad.pamphlet (ERROR)
facutil.spad.pamphlet (FACUTIL PUSHVAR)
ffcat.spad.pamphlet (FPC XF FAXF DLP FFIELDC FFSLPE)
fff.spad.pamphlet (FFF)
ffhom.spad.pamphlet (FFHOM)
ffpoly.spad.pamphlet (FFPOLY)
fname.spad.pamphlet (FNCAT FNAME)
formula.spad.pamphlet (FORMULA FORMULA1)
fraction.spad.pamphlet (LO LA QFCAT QFCAT2 FRAC LPEFRAC FRAC2)
galfactu.spad.pamphlet (GALFACTU)
galpolyu.spad.pamphlet (GALPOLYU)
gb.spad.pamphlet (GB)
gbeuclid.spad.pamphlet (GBEUCLID)
gbintern.spad.pamphlet (GBINTERN)
gdirprod.spad.pamphlet (ORDFUNS ODP HDP SHDP)
geneez.spad.pamphlet (GENEEZ)
ghensel.spad.pamphlet (GHENSEL)
gpgcd.spad.pamphlet (GENPGCD)
gpol.spad.pamphlet (LAUPOL)
groebf.spad.pamphlet (GBF)
groebsol.spad.pamphlet (GROEBSOL)
intrf.spad.pamphlet (SUBRESP MONOTOOL INTHERTR INTTR INTRAT INTRF)
idecomp.spad.pamphlet (IDECOMP)
leadcdet.spad.pamphlet (LEADCDET)
lindep.spad.pamphlet (LINDEP ZLINDEP)
lingrob.spad.pamphlet (LGROBP)
listgcd.spad.pamphlet (HEUGCD)
matfuns.spad.pamphlet (IMATLIN MATCAT2 RMCAT2 IMATQF MATLIN)
mfinfact.spad.pamphlet (MFINFACT)
mlift.spad.pamphlet (MLIST)
moddfact.spad.pamphlet (MDDFACT)
modmon.spad.pamphlet (MODMON)
modring.spad.pamphlet (MODRING EMR MODFIELD)
mts.spad.pamphlet (SMTS TS)
multsqfr.spad.pamphlet (MULTSQFR)
newpoint.spad.pamphlet (PTCAT POINT COMPPROP SUBSPACE PTPACK PTFUNC2)
numtheor.spad.pamphlet (INTHEORY PNTHEORY)
npcoef.spad.pamphlet (NPCOEF)
omdev.spad.pamphlet (OMENC OMDEV OMCONN OMPKG)
omserver.spad.pamphlet (OMSERVER)
padic.spad.pamphlet (PADICCT IPADIC PADIC BPADIC PADICRC PADICRAT BPADICRT)
pdecomp.spad.pamphlet (PCOMP PDECOMP)
pfbr.spad.pamphlet (PFBRU PFBR)
pfr.spad.pamphlet (PFR PFRPAC)
pgcd.spad.pamphlet (PGCD)
pinterp.spad.pamphlet (PINTERPA PINTERP)
pleqn.spad.pamphlet (PLEQN)
poltopol.spad.pamphlet (MPC2 MPC3 POLTOPOL)
poly.spad.pamphlet (FM PR SUP SUP2 UP UP2 POLY2UP UPSQFREE PSQFR UPMP)
polycat.spad.pamphlet (AMR FAMR POLYCAT POLYLIFT UPOLYC UPOLYC2 COMMUPC)
prs.spad.pamphlet (PRS)
radix.spad.pamphlet (RADIX BINARY DECIMAL HEXADEC RADUTIL)
ratfact.spad.pamphlet (RATFACT)
rderf.spad.pamphlet (RDETR)
realzero.spad.pamphlet (REAL0)
real0q.spad.pamphlet (REAL0Q)
resring.spad.pamphlet (RESRING)
rf.spad.pamphlet (POLYCATQ RF)
solvefor.spad.pamphlet (SOLVEFOR)
solvelin.spad.pamphlet (LSMP LSMP1 LSPP)
smith.spad.pamphlet (SMITH)
sttf.spad.pamphlet (STTF STTFNC)
sturm.spad.pamphlet (SHP)
sum.spad.pamphlet (ISUMP GOSPER SUMRF)
tex.spad.pamphlet (TEX)
tree.spad.pamphlet (TREE BTCAT BTREE BSTREE BTOURN BBTREE PENDTREE)
twofact.spad.pamphlet (NORMRETR TWOFACT)
unifact.spad.pamphlet (UNIFACT)
updecomp.spad.pamphlet (UPDECOMP)
updivp.spad.pamphlet (UPDIVP)
viewDef.spad.pamphlet (VIEWDEF)
vector.spad.pamphlet (VECTCAT IVECTOR VECTOR VECTOR2 DIRPCAT DIRPROD DIRPROD2)
view2D.spad.pamphlet (GRIMAGE VIEW2D)
void.spad.pamphlet (VOID EXIT)
weier.spad.pamphlet (WEIER)
wtpol.spad.pamphlet (WP OWP)
\end{verbatim}

<<layer14>>=
axiom_algebra_layer_14 = \
  TBAGG   TBAGG-   ALIST    FS       FS-      ACF      ACF-     \
  ACFS     ACFS-    \
  ASP1     ASP10    ASP24    ASP4     \
  ASP50    ASP6     ASP73    BALFACT  \
  BEZOUT   BINARY   BINFILE  BOUNDZRO \
  BPADICRT BRILL    CDEN     CHVAR    \
  COMMUPC  CONTFRAC CVMP     CYCLOTOM \
  CYCLES   DDFACT   DECIMAL  DIRPROD  DISPLAY  DMP      \
  DPMO     DPOLCAT  DPOLCAT- D01AJFA  \
  D01AKFA  D01ALFA  D01AMFA  D01APFA  \
  D01AQFA  EMR      EQ       ERROR    \
  EVALCYC  E04DGFA  E04FDFA  E04GCFA  \
  E04JAFA  FACUTIL  FF       FFCG     \
  FFCGX    FFHOM    FFNB     FFNBX    \
  FFPOLY   FFX      FFSLPE   FGLMICPK \
  FILE     FINAALG  FINAALG- FINRALG  \
  FINRALG- FFF      FLOATRP  FNAME    \
  FOP      FORMULA  FORT     FRAC     \
  FTEM     GENEEZ   GENMFACT GENPGCD  \
  GALFACTU GALPOLYU GB       GBEUCLID \
  GBF      GBINTERN GHENSEL  GMODPOL  \
  GOSPER   GRIMAGE  GROEBSOL HDMP     \
  HDP      HEXADEC  HEUGCD   IBPTOOLS \
  IFF      IBITS    ICARD    ICDEN    \
  IDECOMP  IIARRAY2 IMATLIN  IMATQF   \
  INMODGCD INNMFACT INPSIGN  INTHERTR \
  INTRAT   INTRF    INTSLPE  INTTR    \
  ISUMP    LAUPOL   LEADCDET LGROBP   \
  LIMITRF  LINDEP   LO       LPEFRAC  \
  LSPP     MATLIN   MCDEN    MDDFACT  \
  MFINFACT MFLOAT   MINT     MLIFT    \
  MMAP     MODMON   MONOTOOL MPCPF    \
  MPC2     MPC3     MPOLY    MPRFF    \
  MRATFAC  MULTSQFR NORMRETR NPCOEF   \
  NSUP     NTPOLFN  ODP      ODEPRIM  \
  ODEPRRIC OMPKG    OMSERVER PADEPAC  \
  PADICRAT PADICRC  PCOMP    PDECOMP  \
  PF       PFBR     PFBRU    PFOTOOLS \
  PFRPAC   PGCD     PINTERPA PLEQN    \
  PMPLCAT  PMQFCAT  PNTHEORY POLUTIL  \
  POLTOPOL POLYCATQ POLYLIFT POLYROOT \
  POLY2    POLY2UP  PRS      PSQFR    \
  PUSHVAR  QALGSET  QFCAT2   RADIX    \
  RATFACT  RCFIELD  RCFIELD- RDETR    \
  RDETRS   REAL0    REAL0Q   REALSOLV \
  RESRING  RETSOL   RF       RFFACTOR \
  RMATCAT  RMATCAT- RRCC     RRCC-    \
  SCPKG    SHDP     SHP      SIGNRF   \
  SMITH    SMP      SMTS     SOLVEFOR \
  SPLTREE  STINPROD STTFNC   SUBRESP  \
  SUMRF    SUP      SUPFRACF TANEXP   \
  TEMUTL   TEX      TEXTFILE TREE     \
  TWOFACT  UNIFACT  UP       UPCDEN   \
  UPDECOMP UPDIVP   UPMP     UPOLYC2  \
  UPXSCAT  UPSQFREE VIEWDEF  VIEW2D   \
  VOID     WEIER    WP       \
 EQTBL  GSTBL   HASHTBL \
  INTABL  INTFTBL  STBL    STRTBL\
  TABLE     


axiom_algebra_layer_14_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_14))

axiom_algebra_layer_14_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_14)))
@

\subsection{Layer15}

\subsubsection{Completed spad files}

\begin{verbatim}
dpolcat.spad.pamphlet (DVARCAT ODVAR SDVAR DPOLCAT DSMP ODPOL SDPOL)
matcat.spad.pamphlet (MATCAT RMATCAT SMATCAT)
plot.spad.pamphlet (PLOT PLOT1)
\end{verbatim}

<<layer15>>=
axiom_algebra_layer_15 = \
   DSMP     EXPUPXS \
  FRAMALG FRAMALG- MDAGG    ODPOL   \
  PLOT    RMCAT2   ROIRC    SDPOL   \
  SMATCAT SMATCAT- TUBETOOL UPXSCCA \
  UPXSCCA-

axiom_algebra_layer_15_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_15))

axiom_algebra_layer_15_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_15)))
@

\subsection{Layer16}

\subsubsection{Completed spad files}

\begin{verbatim}
efupxs.spad.pamphlet (EFUPXS)
lodop.spad.pamphlet (MLO OMLO NCODIV ODR DPMO DPMM)
space.spad.pamphlet (SPACEC SPACE3 TOPSP)
\end{verbatim}

<<layer16>>=
axiom_algebra_layer_16 = \
  DPMM     EFUPXS  FFINTBAS FRIDEAL  \
  FRIDEAL2 FRMOD   \
  IBATOOL  INTFACT \
  MSETAGG  MONOGEN MONOGEN- NFINTBAS \
  SPACE3 

axiom_algebra_layer_16_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_16))

axiom_algebra_layer_16_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_16)))
@

\subsection{Layer17}

\subsubsection{Completed spad files}

\begin{verbatim}
algext.spad.pamphlet (SAE)
aggcat.spad.pamphlet (AGG HOAGG CLAGG BGAGG SKAGG QUAGG DQAGG PRQAGG DIOPS
                      DIAGG MDAGG SETAGG FSAGG MSETAGG OMSAGG KDAGG ELTAB
                      ELTAGG ISAGG TBAGG RCAGG BRAGG DLAGG URAGG STAGG LNAGG
                      FLAGG A1AGG ELAGG LSAGG ALAGG SRAGG BTAGG ITAGG) 
aggcat2.spad.pamphlet (FLAGG2 FSAGG2)
galfact.spad.pamphlet (GALFACT)
intfact.spad.pamphlet (PRIMES IROOT INTFACT)
mathml.spad.pamphlet (MMLFORM)
padiclib.spad.pamphlet (IBPTOOLS IBACHIN PWFFINTB)
perm.spad.pamphlet (PERMCAT PERM)
permgrps.spad.pamphlet (PERMGRP PGE)
random.spad.pamphlet (RANDSRC RDIST INTBIT RIDIST RFDIST)
sgcf.spad.pamphlet (SGCF)
string.spad.pamphlet (CHAR CCLASS ISTRING STRING STRICAT)
view3D.spad.pamphlet (VIEW3D)
\end{verbatim}

<<layer17>>=
axiom_algebra_layer_17 = \
  CCLASS  FSAGG2  GALFACT IALGFACT \
  IBACHIN MMLFORM NORMMA  ODERED  OMSAGG   \
  PERM    PERMGRP PRIMES  PWFFINTB \
  RDIST   SAE     SAEFACT SAERFFC  \
  SGCF VIEW3D 

axiom_algebra_layer_17_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_17))

axiom_algebra_layer_17_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_17)))
@

\subsection{Layer18}

\subsubsection{Completed spad files}

\begin{verbatim}
d01Package.spad.pamphlet (INTPACK)
list.spad.pamphlet (ILIST LIST LIST2 LIST3 LIST2MAP ALIST)
pf.spad.pamphlet (IPF PF)
table.spad.pamphlet (HASHTBL INTABL TABLE EQTBL STRTBL GSTBL STBL)
\end{verbatim}

<<layer18>>=
axiom_algebra_layer_18 = \
INTPACK IPF     \
  KAFILE  PATRES TBCMPPK 

axiom_algebra_layer_18_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_18))

axiom_algebra_layer_18_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_18)))
@

\subsection{Layer19}

\subsubsection{Completed spad files}

\begin{verbatim}
acplot.spad.pamphlet (REALSOLV ACPLOT)
alql.spad.pamphlet (DLIST ICARD DBASE QEQUAT MTHING OPQUERY)
any.spad.pamphlet (NONE NONE1 ANY ANY1)
c02.spad.pamphlet (NAGC02)
c05.spad.pamphlet (NAGC05)
c06.spad.pamphlet (NAGC06)
d01routine.spad.pamphlet (D01AJFA D01AKFA D01AMFA D01APFA D01AQFA D01ALFA 
                          D01ANFA D01ASFA D01GBFA D01FCFA)
d02Package.spad.pamphlet (ODEPACK)
d03agents.spad.pamphlet (D03AGNT)
d03Package.spad.pamphlet (PDEPACK)
drawopt.spad.pamphlet (DROPT DROPT1 DROPT0)
eigen.spad.pamphlet (EP CHARPOL)
e01.spad.pamphlet (NAGE01)
e02.spad.pamphlet (NAGE02)
e04.spad.pamphlet (NAGE04)
e04agents.spad.pamphlet (E04AGNT)
e04Package.spad.pamphlet (OPTPACK)
ffcg.spad.pamphlet (FFCGP FFCGX FFCG)
ffp.spad.pamphlet (FFP FFX IFF FF)
files.spad.pamphlet (FILECAT FILE TEXTFILE BINFILE KAFILE LIB)
float.spad.pamphlet (FLOAT)
fnla.spad.pamphlet (OSI COMM HB FNLA)
fortpak.spad.pamphlet (FCPAK1 NAGSP FORT FOP TEMUTL MCALCFN)
forttyp.spad.pamphlet (FST FT SYMTAB SYMS)
fparfrac.spad.pamphlet (FPARFRAC)
fr.spad.pamphlet (FR FRUTIL FR2)
f07.spad.pamphlet (NAGF07)
gdpoly.spad.pamphlet (GDMP DMP HDMP)
ideal.spad.pamphlet (IDEAL)
intaux.spad.pamphlet (IR IR2)
intclos.spad.pamphlet (TRIMAT IBATOOL FFINTBAS WFFINTBS NFINTBAS)
integer.spad.pamphlet (INTSLPE INT NNI PI ROMAN)
kl.spad.pamphlet (CACHSET SCACHE MKCHSET KERNEL KERNEL2)
lmdict.spad.pamphlet (LMDICT)
matrix.spad.pamphlet (IMATRIX MATRIX RMATRIX SQMATRIX)
misc.spad.pamphlet (SAOS)
mkfunc.spad.pamphlet (INFORM INFORM1 MKFUNC MKUCFUNC MKBCFUNC MKFLCFN)
modgcd.spad.pamphlet (INMODGCD)
mset.spad.pamphlet (MSET)
multpoly.spad.pamphlet (POLY POLY2 MPOLY SMP INDE)
naalgc.spad.pamphlet (MONAD MONADWU NARNG NASRING NAALG FINAALG FRNAALG)
newdata.spad.pamphlet (IPRNTPK TBCMPPK SPLNODE SPLTREE)
omerror.spad.pamphlet (OMERRK OMERR)
op.spad.pamphlet (BOP BOP1 COMMONOP)
out.spad.pamphlet (OUT SPECOUT DISPLAY)
outform.spad.pamphlet (NUMFMT OUTFORM)
patmatch1.spad.pamphlet (PATRES PATRES2 PATLRES PATMAB FPATMAB PMSYM PMKERNEL
                         PMDOWN PMTOOLS PMLSAGG)
pattern.spad.pamphlet (PATTERN PATTERN1 PATTERN2 PATAB)
pscat.spad.pamphlet (PSCAT UPSCAT UTSCAT ULSCAT UPXSCAT MTSCAT)
qalgset.spad.pamphlet (QALGSET QALGSET2)
reclos.spad.pamphlet (POLUTIL RRCC RCFIELD ROIRC RECLOS)
rep1.spad.pamphlet (REP1)
routines.spad.pamphlet (ROUTINE ATTRBUT)
s.spad.pamphlet (NAGS)
seg.spad.pamphlet (SEGCAT SEGXCAT SEG SEG2 SEGBIND SETBIND2 UNISEG UNISEG2
                   INCRMAPS)
sets.spad.pamphlet (SET)
sups.spad.pamphlet (ISUPS)
syssolp.spad.pamphlet (SYSSOLP)
variable.spad.pamphlet (OVAR VARIABLE RULECOLD FUNCTION ANON)
\end{verbatim}

<<layer19>>=
axiom_algebra_layer_19 = \
  ACPLOT   ANTISYM \
  ANY      ASP12    ASP27    ASP28   \
  ASP33    ASP49    ASP55    ASP7    \
  ASP78    ASP8     ASP9     ATTRBUT \
  BOP      BOP1     COMMONOP COMPCAT \
  COMPCAT- DRAW     DRAWCFUN DROPT   \
  DROPT0   D01ANFA  D01ASFA  D03AGNT \
  EP       E04AGNT  FCPAK1   FEXPR   \
  FFCAT    FFCAT-   FFCGP    FFNBP   \
  FFP      FLOAT    FPARFRAC FR      \
  FRNAALG  FRNAALG- \
  FST      FUNCTION GDMP     HACKPI  \
  IDEAL    INFORM   INFORM1  IPRNTPK \
  IR       ISUPS    KERNEL   LIB     \
  LMDICT   LODOOPS  MATRIX   MKFLCFN \
  MSET     M3D      NAGC02   NAGC05  \
  NAGC06   NAGD03   NAGE01   NAGE02  \
  NAGE04   NAGF07   NAGS     NAGSP   \
  NREP     NUMFMT   OC       OC-     \
  ODEPACK  ODERAT   OMERR    OMERRK  \
  OPTPACK  OSI      PATTERN  OVAR    \
  PMKERNEL PMSYM    POLY     PRIMELT \
  QALGSET2 QEQUAT   RECLOS   REP1    \
  RESULT   QUATCAT  QUATCAT- RFFACT  \
  RMATRIX  ROMAN    ROUTINE  RPOLCAT \
  RPOLCAT- RULECOLD SAOS     SEGBIND \
  SET      SPECOUT  SQMATRIX SWITCH  \
  SYMS     SYMTAB   SYSSOLP  UTSCAT  \
  UTSCAT-  VARIABLE WFFINTBS SPADPRSR \
  PARSER   PROPFRML

axiom_algebra_layer_19_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_19))

axiom_algebra_layer_19_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_19)))
@

\subsection{Layer20}

\subsubsection{Completed spad files}

\begin{verbatim}
algfact.spad.pamphlet (IALGFACT SAEFACT RFFACT SAERFFC ALGFACT)
algfunc.spad.pamphlet (ACF ACFS AF)
asp.spad.pamphlet (ASP1 ASP10 ASP12 ASP19 ASP20 ASP24 ASP27 ASP28 ASP29 ASP30
                   ASP31 ASP33 ASP34 ASP35 ASP4 ASP41 ASP42 ASP49 ASP50 ASP55
                   ASP6 ASP7 ASP73 ASP74 ASP77 ASP78 ASP8 ASP80 ASP9)
constant.spad.pamphlet (IAN AN)
cmplxrt.spad.pamphlet (CMPLXRT)
crfp.spad.pamphlet (CRFP)
curve.spad.pamphlet (FFCAT MMAP FFCAT2 CHAVAR RDFF ALGFF)
derham.spad.pamphlet (LALG EAB ANTISYM DERHAM)
draw.spad.pamphlet (DRAWCFUN DRAW DRAWCURV DRAWPT)
d01.spad.pamphlet (NAGD01)
efstruc.spad.pamphlet (SYMFUNC TANEXP EFSTRUC ITRIGMNP TRIGMNIP CTRIGMNP)
elemntry.spad.pamphlet (EF)
elfuts.spad.pamphlet (ELFUTS)
expexpan.spad.pamphlet (EXPUPXS UPXSSING EXPEXPAN)
exprode.spad.pamphlet (EXPRODE)
e04routine.spad.pamphlet (E04DFGA E04FDFA E04GCFA E04JAFA E04MBFA E04NAFA 
                          E04UCFA)
f01.spad.pamphlet (NAGF01)
f02.spad.pamphlet (NAGF02)
f04.spad.pamphlet (NAGF04)
fortmac.spad.pamphlet (MINT MFLOAT MCMPLX)
fortran.spad.pamphlet (RESULT FC FORTRAN M3D SFORT SWITCH FTEM FEXPR)
fspace.spad.pamphlet (ES ES1 ES2 FS FS2)
fs2ups.spad.pamphlet (FS2UPS)
funcpkgs.spad.pamphlet (FSUPFACT)
gaussfac.spad.pamphlet (GAUSSFAC)
gaussian.spad.pamphlet (COMPCAT COMPLPAT CPMATCH COMPLEX COMPLEX2 COMPFACT
                        CINTSLPE)
generic.spad.pamphlet (GCNAALG CVMP)
genufact.spad.pamphlet (GENUFACT)
genups.spad.pamphlet (GENUPS)
infprod.spad.pamphlet (STINPROD INFPROD0 INPRODPF INPRODFF)
intaf.spad.pamphlet (INTG0 INTPAF INTAF)
intalg.spad.pamphlet (DBLRESP INTHERAL INTALG)
intef.spad.pamphlet (INTEF)
intpm.spad.pamphlet (INTPM)
kovacic.spad.pamphlet (KOVACIC)
lie.spad.pamphlet (LIE JORDAN LSQM)
liouv.spad.pamphlet (LF)
lodof.spad.pamphlet (SETMN PREASSOC ASSOCEQ LODOF)
manip.spad.pamphlet (FACTFUNC POLYROOT ALGMANIP SIMPAN TRMANIP)
multfact.spad.pamphlet (INNMFACT MULTFACT ALGMFACT)
naalg.spad.pamphlet (ALGSC SCPKG ALGPKG FRNAAF2)
newpoly.spad.pamphlet (NSUP NSUP2 RPOLCAT NSMP)
nlinsol.spad.pamphlet (RETSOL NLINSOL)
numeigen.spad.pamphlet (IFSPRMELT.oNEP NREP NCEP)
numeric.spad.pamphlet (NUMERIC DRAWHACK)
numsolve.spad.pamphlet (INFSP FLOATRP FLOATCP)
oct.spad.pamphlet (OC OCT OCTCT2)
odealg.spad.pamphlet (ODESYS ODERED ODEPAL)
openmath.spad.pamphlet (OMEXPR)
pade.spad.pamphlet (PADEPAC PADE)
patmatch2.spad.pamphlet (PMINS PMQFCAT PMPLCT PMFS PATMATCH)
pfo.spad.pamphlet (FORDER RDIV PFOTOOLS PFOQ FSRED PFO)
polset.spad.pamphlet (PSETCAT GPOLSET)
primelt.spad.pamphlet (PRIMELT FSPRMELT)
quat.spad.pamphlet (QUATCAT QUAT QUATCT2)
rdeef.spad.pamphlet (INTTOOLS RDEEF)
rdesys.spad.pamphlet (RDETRS RDEEFS)
riccati.spad.pamphlet (ODEPRRIC ODERTRIC)
rule.spad.pamphlet (RULE APPRULE RULESET)
sign.spad.pamphlet (TOOLSIGN INPSIGN SIGNRF LIMITRF)
special.spad.pamphlet (DFSFUN ORTHPOL NTPOLFN)
suts.spad.pamphlet (SUTS)
tools.spad.pamphlet (ESTOOLS ESTOOLS1 ESTOOLS2)
triset.spad.pamphlet (TSETCAT GTSET PSETPK)
tube.spad.pamphlet (TUBE TUBETOOL EXPRTUBE NUMTUBE)
utsode.spad.pamphlet (UTSODE)
\end{verbatim}

<<layer20>>=
axiom_algebra_layer_20 = \
  AF       ALGFACT  \
  ALGFF    ALGMANIP ALGMFACT ALGPKG   \
  ALGSC    AN       APPRULE  ASP19    \
  ASP20    ASP30    ASP31    ASP35    \
  ASP41    ASP42    ASP74    ASP77    \
  ASP80    CINTSLPE COMPFACT COMPLEX  \
  COMPLPAT CMPLXRT  CPMATCH  CRFP     \
  CTRIGMNP D01WGTS  D02AGNT  D03EEFA  \
  DBLRESP  DERHAM   DFSFUN   DRAWCURV \
  E04NAFA  E04UCFA  EF       EFSTRUC  \
  ELFUTS   ESTOOLS  EXPEXPAN EXPRODE  \
  EXPRTUBE EXPR2    FC       FDIVCAT  \
  FDIVCAT- FDIV2    FFCAT2   FLOATCP  \
  FORDER   FORTRAN  FSRED    FSUPFACT \
  FRNAAF2  FSPECF   FS2      FS2UPS   \
  GAUSSFAC GCNAALG  GENUFACT GENUPS   \
  GTSET    GPOLSET  IAN      INEP     \
  INFPROD0 INFSP    INPRODFF INPRODPF \
  INTAF    INTALG   INTEF    INTG0    \
  INTHERAL INTPAF   INTPM    INTTOOLS \
  ITRIGMNP JORDAN   KOVACIC  LF       \
  LIE      LODOF    LSQM     OMEXPR   \
  MCMPLX   MULTFACT NAGD01   NAGD02   \
  NAGF01   NAGF02   NAGF04   NCEP     \
  NLINSOL  NSMP     NUMERIC  OCT      \
  OCTCT2   ODEPAL   ODERTRIC PADE     \
  PAN2EXPR PDEPACK  PFO      PFOQ     \
  PICOERCE PMASSFS  PMFS     PMPREDFS \
  PSETPK   QUAT     QUATCT2  RADFF    \
  RDEEF    RDEEFS   RDIV     RSETCAT  \
  RSETCAT- RULE     RULESET  SIMPAN   \
  SFORT    SOLVESER SUMFS    SUTS     \
  TOOLSIGN TRIGMNIP TRMANIP  ULSCCAT  \
  ULSCCAT- UPXSSING UTSODE   UTSODETL \
  UTS2     WUTSET 

axiom_algebra_layer_20_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_20))

axiom_algebra_layer_20_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_20)))
@

\subsection{Layer21}

\subsubsection{Completed spad files}

\begin{verbatim}
cont.spad.pamphlet (ESCONT ESCONT1)
ddfact.spad.pamphlet (DDFACT)
defintef.spad.pamphlet (DEFINTEF)
defintrf.spad.pamphlet (DFINTTLS DEFINTRF)
divisor.spad.pamphlet (FRIDEAL FRIDEAL2 MHROWRED FRMOD FDIVCAT HELLFDIV FDIV
                       FDIV2)
d01transform.spad.pamphlet (D01TRNS)
efuls.spad.pamphlet (EFULS)
expr.spad.pamphlet (EXPR PAN2EXPR EXPR2 PMPREDFS PMASSFS PMPRED PMASS HACKPI
                    PICOERCE)
expr2ups.spad.pamphlet (EXPR2UPS)
fs2expxp.spad.pamphlet (FS2EXPXP)
gseries.spad.pamphlet (GSERIES)
integrat.spad.pamphlet (FSCINT FSINT)
irexpand.spad.pamphlet (IR2F IRRF2F)
laplace.spad.pamphlet (LAPLACE INVLAPLA)
laurent.spad.pamphlet (ULSCCAT ULSCONS ULS USL2)
nlode.spad.pamphlet (NODE1)
oderf.spad.pamphlet (BALFACT BOUNDZRO ODEPRIM UTSODETL ODERAT ODETOOLS ODEINT
                     ODECONST)
puiseux.spad.pamphlet (UPXSCCA UPXSCONS UPXS UPXS2)
radeigen.spad.pamphlet (REP)
solverad.spad.pamphlet (SOLVERAD)
suls.spad.pamphlet (SULS)
supxs.spad.pamphlet (SUPXS)
taylor.spad.pamphlet (ITAYLOR UTS UTS2)
\end{verbatim}

<<layer21>>=
axiom_algebra_layer_21 = \
  DEFINTEF DFINTTLS DEFINTRF D01TRNS  \
  EFULS    ESCONT   EXPR     EXPR2UPS \
  FDIV     FSCINT   FSINT    FS2EXPXP \
  GSERIES  HELLFDIV INVLAPLA IR2F     \
  IRRF2F   LAPLACE  LIMITPS  LODEEF   \
  NODE1    ODECONST ODEINT   REP      \
  SOLVERAD SULS     SUPXS    ULS      \
  ULSCONS  UPXS     UPXSCONS UTS 

axiom_algebra_layer_21_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_21))

axiom_algebra_layer_21_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_21)))
@

\subsection{Layer22}

\subsubsection{Completed spad files}

\begin{verbatim}
asp.spad.pamphlet (ASP29)
combfunc.spad.pamphlet (COMBF)
d01agents.spad.pamphlet (D01AGNT SNTSCAT)
ffnb.spad.pamphlet (INBFF)
limitps.spad.pamphlet (SIGNEF)
lodo.spad.pamphlet (LODO LODO1 LODO2)
newpoint.spad.pamphlet (SUBSPACE)
nregset.spad.pamphlet (NTSCAT)
primelt.spad.pamphlet (FSPRMELT)
regset.spad.pamphlet (REGSET RSETGCD RSDCMPK)
sregset.spad.pamphlet (SFRTCAT SRDCMPK SREGSET)
sttf.spad.pamphlet (STTF)
transsolve.spad.pamphlet (SOLVETRA)
zerodim.spad.pamphlet (RGCHAIN ZDSOLVE)
\end{verbatim}
\subsection{Layer21}
<<layer22>>=
axiom_algebra_layer_22 = \
  ASP29    COMBF    D01AGNT  FSPRMELT \
  INBFF    LODO     LODO1    LODO2    \
  NTSCAT   REGSET   RGCHAIN  RSETGCD  \
  RSDCMPK  SFRTCAT  SIGNEF   SNTSCAT  \
  SOLVETRA SRDCMPK  SREGSET  STTF     \
  SUBSPACE ZDSOLVE

axiom_algebra_layer_22_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_22))

axiom_algebra_layer_22_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_22)))
@

\subsection{Final layer spad files}

These files have not yet been fully analyzed for dependencies but
have added in alphabetical order in this final layer. This
ordering is apparently adequate.

These files all depend on layer22.
\begin{verbatim}
algcat.spad.pamphlet (CPIMA)
nregset.spad.pamphlet (NORMPK)
nsregset.spad.pamphlet (LAZM3PK)
regset.spad.pamphlet (QCMPACK)
sregset.spad.pamphlet (SFRGCD SFQCMPK)
zerodim.spad.pamphlet (LEXTRIPK IRURPK RURPK)
\end{verbatim}

<<layer23>>=
axiom_algebra_layer_23 = \
  CPIMA    IRURPK   LAZM3PK  LEXTRIPK \
  NORMPK   QCMPACK  RURPK    SFRGCD   \
  SFQCMPK  INTRVL   ODEEF    DOMAIN

axiom_algebra_layer_23_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_23))

axiom_algebra_layer_23_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_23)))
@

\subsection{User Layer for newly added algebra}

Rather than classify newly created algebra into the existing type lattice
we add it here.
<<USERLAYER>>=
axiom_algebra_layer_user =  RINTERP

axiom_algebra_layer_user_nrlibs = \
	$(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_user))

axiom_algebra_layer_user_objects = \
	$(addprefix $(OUT)/, \
	   $(addsuffix .$(FASLEXT),$(axiom_algebra_layer_user)))
@

\section{Broken Files}

These files are Aldor files
\begin{verbatim}
axtimer.as Timer
iviews.as  InventorRenderPackage IVREND
ffrac.as   FormalFraction FORMAL
iviews.as  InventorViewPort IVVIEW
iviews.as  InventorDataSink IVDATA
herm.as    PackedHermitianSequence PACKED
nsfip.as   NagSpecialFunctionsInterfacePackage NAGSPE
nrc.as     NagResultChecks NAGRES
nqip.as    NagQuadratureInterfacePackage NAGQUA
noptip.as  NagOptimizationInterfacePackage NAGOPT
nepip.as   NagEigenInterfacePackage NAGEIG
ndftip.as  NagDiscreteFourierTransformInterfacePackage NAGDIS
\end{verbatim}

These domains are referenced but don't exist
\begin{verbatim}
OBJECT
\end{verbatim}

\section{The Environment}

\subsection{The working directories}

We define 5 directories for this build. The{\bf IN} directory
contains the pamphlet files for the algebra. These are expanded
into the{\bf MID} directory as either .spad or .as files. The
.spad files are compiled by the native spad internal compiler.
The .as files are compiled using the Aldor compiler. The output
of the compilation has two purposes. Part of the information is
used to build various database files (daase files). The other
part is executable code which is placed in the {\bf OUT}
directory. When invoked as ``make document'' we construct
the .dvi files in the{\bf DOC} directory.

The [[OUTSRC=$(axiom_target_srcdir)/algebra]] subdirectory contains the 
algebra source files extracted from the pamphlet files. These sources 
allow the end user to change the algebra if needed.

<<environment>>=

IN=$(srcdir)
OUT=$(axiom_targetdir)/algebra
DOC=$(axiom_target_docdir)/src/algebra
OUTSRC=$(axiom_target_srcdir)/algebra
INPUT=../input

EXTRACT_BOOTSTRAP_FILE = \
	$(axiom_build_document) --output=$@ --tangle="$@ BOOTSTRAP" $<

@

<<environment>>=
## We use interpsys, built from previous stage, to bootstrap the algebra
## files.  In fact, we use interpsys to build everything.
COMPILE_LISP = $(INTERPSYS) --compile --output=$@ $<

@

\subsection{The interpsys variable}
The {\bf interpsys} image is the compile-time environment for algebra
files.

<<environment>>=

INTERPSYS = ../interp/interpsys$(EXEEXT) -- --system="$(AXIOM)" \
		--sysalg="$(axiom_src_datadir)/algebra/"

@

\subsection{The SPADFILES list}
Note that we have excluded {\bf mlift.spad.jhd} from this list.
We need to figure out which mlift.spad to keep.

<<environment>>=

SPADFILES= \
 ${OUTSRC}/acplot.spad ${OUTSRC}/aggcat2.spad ${OUTSRC}/aggcat.spad \
 ${OUTSRC}/algcat.spad ${OUTSRC}/algext.spad ${OUTSRC}/algfact.spad \
 ${OUTSRC}/algfunc.spad ${OUTSRC}/allfact.spad ${OUTSRC}/alql.spad \
 ${OUTSRC}/annacat.spad ${OUTSRC}/any.spad ${OUTSRC}/array1.spad \
 ${OUTSRC}/array2.spad ${OUTSRC}/asp.spad ${OUTSRC}/attreg.spad \
 ${OUTSRC}/bags.spad ${OUTSRC}/bezout.spad ${OUTSRC}/boolean.spad \
 ${OUTSRC}/brill.spad \
 ${OUTSRC}/c02.spad ${OUTSRC}/c05.spad ${OUTSRC}/c06.spad \
 ${OUTSRC}/card.spad ${OUTSRC}/carten.spad ${OUTSRC}/catdef.spad \
 ${OUTSRC}/cden.spad ${OUTSRC}/clifford.spad ${OUTSRC}/clip.spad \
 ${OUTSRC}/cmplxrt.spad ${OUTSRC}/coerce.spad ${OUTSRC}/color.spad \
 ${OUTSRC}/combfunc.spad ${OUTSRC}/combinat.spad ${OUTSRC}/complet.spad \
 ${OUTSRC}/constant.spad ${OUTSRC}/contfrac.spad ${OUTSRC}/cont.spad \
 ${OUTSRC}/coordsys.spad ${OUTSRC}/cra.spad ${OUTSRC}/crfp.spad \
 ${OUTSRC}/curve.spad ${OUTSRC}/cycles.spad ${OUTSRC}/cyclotom.spad \
 ${OUTSRC}/d01agents.spad ${OUTSRC}/d01Package.spad \
 ${OUTSRC}/d01routine.spad ${OUTSRC}/d01.spad ${OUTSRC}/d01transform.spad \
 ${OUTSRC}/d01weights.spad ${OUTSRC}/d02agents.spad \
 ${OUTSRC}/d02Package.spad ${OUTSRC}/d02routine.spad ${OUTSRC}/d02.spad \
 ${OUTSRC}/d03agents.spad ${OUTSRC}/d03Package.spad \
 ${OUTSRC}/d03routine.spad ${OUTSRC}/d03.spad ${OUTSRC}/ddfact.spad \
 ${OUTSRC}/defaults.spad ${OUTSRC}/defintef.spad ${OUTSRC}/defintrf.spad \
 ${OUTSRC}/degred.spad ${OUTSRC}/derham.spad ${OUTSRC}/dhmatrix.spad \
 ${OUTSRC}/divisor.spad ${OUTSRC}/dpolcat.spad ${OUTSRC}/drawopt.spad \
 ${OUTSRC}/drawpak.spad ${OUTSRC}/draw.spad \
 ${OUTSRC}/e01.spad ${OUTSRC}/e02.spad ${OUTSRC}/e04agents.spad \
 ${OUTSRC}/e04Package.spad ${OUTSRC}/e04routine.spad ${OUTSRC}/e04.spad \
 ${OUTSRC}/efstruc.spad ${OUTSRC}/efuls.spad ${OUTSRC}/efupxs.spad \
 ${OUTSRC}/eigen.spad ${OUTSRC}/elemntry.spad ${OUTSRC}/elfuts.spad \
 ${OUTSRC}/equation1.spad ${OUTSRC}/equation2.spad ${OUTSRC}/error.spad \
 ${OUTSRC}/expexpan.spad ${OUTSRC}/expr2ups.spad \
 ${OUTSRC}/exprode.spad ${OUTSRC}/expr.spad \
 ${OUTSRC}/f01.spad ${OUTSRC}/f02.spad ${OUTSRC}/f04.spad \
 ${OUTSRC}/f07.spad ${OUTSRC}/facutil.spad ${OUTSRC}/ffcat.spad \
 ${OUTSRC}/ffcg.spad ${OUTSRC}/fff.spad ${OUTSRC}/ffhom.spad \
 ${OUTSRC}/ffnb.spad ${OUTSRC}/ffpoly2.spad ${OUTSRC}/ffpoly.spad \
 ${OUTSRC}/ffp.spad ${OUTSRC}/ffx.spad \
 ${OUTSRC}/files.spad ${OUTSRC}/float.spad ${OUTSRC}/fmod.spad \
 ${OUTSRC}/fname.spad ${OUTSRC}/fnla.spad ${OUTSRC}/formula.spad \
 ${OUTSRC}/fortcat.spad ${OUTSRC}/fortmac.spad ${OUTSRC}/fortpak.spad \
 ${OUTSRC}/fortran.spad ${OUTSRC}/forttyp.spad ${OUTSRC}/fourier.spad \
 ${OUTSRC}/fparfrac.spad ${OUTSRC}/fraction.spad ${OUTSRC}/free.spad \
 ${OUTSRC}/fr.spad ${OUTSRC}/fs2expxp.spad ${OUTSRC}/fs2ups.spad \
 ${OUTSRC}/fspace.spad ${OUTSRC}/funcpkgs.spad ${OUTSRC}/functions.spad \
 ${OUTSRC}/galfact.spad ${OUTSRC}/galfactu.spad ${OUTSRC}/galpolyu.spad \
 ${OUTSRC}/galutil.spad ${OUTSRC}/gaussfac.spad ${OUTSRC}/gaussian.spad \
 ${OUTSRC}/gbeuclid.spad ${OUTSRC}/gbintern.spad ${OUTSRC}/gb.spad \
 ${OUTSRC}/gdirprod.spad ${OUTSRC}/gdpoly.spad ${OUTSRC}/geneez.spad \
 ${OUTSRC}/generic.spad ${OUTSRC}/genufact.spad ${OUTSRC}/genups.spad \
 ${OUTSRC}/ghensel.spad ${OUTSRC}/gpgcd.spad ${OUTSRC}/gpol.spad \
 ${OUTSRC}/grdef.spad ${OUTSRC}/groebf.spad ${OUTSRC}/groebsol.spad \
 ${OUTSRC}/gseries.spad \
 ${OUTSRC}/ideal.spad ${OUTSRC}/idecomp.spad ${OUTSRC}/indexedp.spad \
 ${OUTSRC}/infprod.spad ${OUTSRC}/intaf.spad ${OUTSRC}/intalg.spad \
 ${OUTSRC}/intaux.spad ${OUTSRC}/intclos.spad ${OUTSRC}/intef.spad \
 ${OUTSRC}/integer.spad ${OUTSRC}/integrat.spad \
 ${OUTSRC}/interval.spad \
 ${OUTSRC}/intfact.spad ${OUTSRC}/intpm.spad \
 ${OUTSRC}/intrf.spad \
 ${OUTSRC}/irexpand.spad \
 ${OUTSRC}/irsn.spad ${OUTSRC}/ituple.spad \
 ${OUTSRC}/kl.spad ${OUTSRC}/kovacic.spad \
 ${OUTSRC}/laplace.spad ${OUTSRC}/laurent.spad ${OUTSRC}/leadcdet.spad \
 ${OUTSRC}/lie.spad ${OUTSRC}/limitps.spad ${OUTSRC}/lindep.spad \
 ${OUTSRC}/lingrob.spad ${OUTSRC}/liouv.spad ${OUTSRC}/listgcd.spad \
 ${OUTSRC}/list.spad ${OUTSRC}/lmdict.spad ${OUTSRC}/lodof.spad \
 ${OUTSRC}/lodop.spad ${OUTSRC}/lodo.spad \
 ${OUTSRC}/manip.spad ${OUTSRC}/mappkg.spad ${OUTSRC}/matcat.spad \
 ${OUTSRC}/matfuns.spad ${OUTSRC}/mathml.spad \
 ${OUTSRC}/matrix.spad ${OUTSRC}/matstor.spad \
 ${OUTSRC}/mesh.spad ${OUTSRC}/mfinfact.spad ${OUTSRC}/misc.spad \
 ${OUTSRC}/mkfunc.spad ${OUTSRC}/mkrecord.spad \
 ${OUTSRC}/mlift.spad ${OUTSRC}/moddfact.spad ${OUTSRC}/modgcd.spad \
 ${OUTSRC}/modmonom.spad ${OUTSRC}/modmon.spad ${OUTSRC}/modring.spad \
 ${OUTSRC}/moebius.spad ${OUTSRC}/mring.spad ${OUTSRC}/mset.spad \
 ${OUTSRC}/mts.spad ${OUTSRC}/multfact.spad ${OUTSRC}/multpoly.spad \
 ${OUTSRC}/multsqfr.spad \
 ${OUTSRC}/naalgc.spad ${OUTSRC}/naalg.spad \
 ${OUTSRC}/newdata.spad ${OUTSRC}/newpoint.spad \
 ${OUTSRC}/newpoly.spad ${OUTSRC}/nlinsol.spad ${OUTSRC}/nlode.spad \
 ${OUTSRC}/npcoef.spad \
 ${OUTSRC}/nregset.spad \
 ${OUTSRC}/nsregset.spad ${OUTSRC}/numeigen.spad ${OUTSRC}/numeric.spad \
 ${OUTSRC}/numode.spad ${OUTSRC}/numquad.spad ${OUTSRC}/numsolve.spad \
 ${OUTSRC}/numtheor.spad \
 ${OUTSRC}/oct.spad ${OUTSRC}/odealg.spad ${OUTSRC}/odeef.spad \
 ${OUTSRC}/oderf.spad ${OUTSRC}/omcat.spad ${OUTSRC}/omdev.spad \
 ${OUTSRC}/omerror.spad ${OUTSRC}/omserver.spad ${OUTSRC}/opalg.spad \
 ${OUTSRC}/openmath.spad ${OUTSRC}/op.spad ${OUTSRC}/ore.spad \
 ${OUTSRC}/outform.spad ${OUTSRC}/out.spad \
 ${OUTSRC}/pade.spad ${OUTSRC}/padiclib.spad ${OUTSRC}/padic.spad \
 ${OUTSRC}/paramete.spad ${OUTSRC}/partperm.spad ${OUTSRC}/patmatch1.spad \
 ${OUTSRC}/patmatch2.spad ${OUTSRC}/pattern.spad ${OUTSRC}/pcurve.spad \
 ${OUTSRC}/pdecomp.spad ${OUTSRC}/perman.spad ${OUTSRC}/permgrps.spad \
 ${OUTSRC}/perm.spad ${OUTSRC}/pfbr.spad ${OUTSRC}/pfo.spad \
 ${OUTSRC}/pfr.spad ${OUTSRC}/pf.spad ${OUTSRC}/pgcd.spad \
 ${OUTSRC}/pgrobner.spad ${OUTSRC}/pinterp.spad ${OUTSRC}/pleqn.spad \
 ${OUTSRC}/plot3d.spad ${OUTSRC}/plot.spad ${OUTSRC}/plottool.spad \
 ${OUTSRC}/polset.spad ${OUTSRC}/poltopol.spad ${OUTSRC}/polycat.spad \
 ${OUTSRC}/poly.spad ${OUTSRC}/primelt.spad ${OUTSRC}/print.spad \
 ${OUTSRC}/product.spad ${OUTSRC}/prs.spad ${OUTSRC}/prtition.spad \
 ${OUTSRC}/pscat.spad ${OUTSRC}/pseudolin.spad ${OUTSRC}/ptranfn.spad \
 ${OUTSRC}/puiseux.spad \
 ${OUTSRC}/qalgset.spad ${OUTSRC}/quat.spad \
 ${OUTSRC}/radeigen.spad ${OUTSRC}/radix.spad ${OUTSRC}/random.spad \
 ${OUTSRC}/ratfact.spad ${OUTSRC}/rdeef.spad ${OUTSRC}/rderf.spad \
 ${OUTSRC}/rdesys.spad ${OUTSRC}/real0q.spad ${OUTSRC}/realzero.spad \
 ${OUTSRC}/reclos.spad ${OUTSRC}/regset.spad ${OUTSRC}/rep1.spad \
 ${OUTSRC}/rep2.spad ${OUTSRC}/resring.spad ${OUTSRC}/retract.spad \
 ${OUTSRC}/rf.spad ${OUTSRC}/riccati.spad ${OUTSRC}/rinterp.spad \
 ${OUTSRC}/routines.spad \
 ${OUTSRC}/rule.spad \
 ${OUTSRC}/seg.spad ${OUTSRC}/setorder.spad ${OUTSRC}/sets.spad \
 ${OUTSRC}/sex.spad ${OUTSRC}/sf.spad ${OUTSRC}/sgcf.spad \
 ${OUTSRC}/sign.spad ${OUTSRC}/si.spad ${OUTSRC}/smith.spad \
 ${OUTSRC}/solvedio.spad ${OUTSRC}/solvefor.spad ${OUTSRC}/solvelin.spad \
 ${OUTSRC}/solverad.spad ${OUTSRC}/sortpak.spad ${OUTSRC}/space.spad \
 ${OUTSRC}/special.spad ${OUTSRC}/sregset.spad ${OUTSRC}/s.spad \
 ${OUTSRC}/stream.spad ${OUTSRC}/string.spad ${OUTSRC}/sttaylor.spad \
 ${OUTSRC}/sttf.spad ${OUTSRC}/sturm.spad ${OUTSRC}/suchthat.spad \
 ${OUTSRC}/suls.spad ${OUTSRC}/sum.spad ${OUTSRC}/sups.spad \
 ${OUTSRC}/supxs.spad ${OUTSRC}/suts.spad ${OUTSRC}/symbol.spad \
 ${OUTSRC}/syssolp.spad ${OUTSRC}/system.spad \
 ${OUTSRC}/tableau.spad ${OUTSRC}/table.spad ${OUTSRC}/taylor.spad \
 ${OUTSRC}/tex.spad ${OUTSRC}/tools.spad ${OUTSRC}/transsolve.spad \
 ${OUTSRC}/tree.spad ${OUTSRC}/trigcat.spad ${OUTSRC}/triset.spad \
 ${OUTSRC}/tube.spad ${OUTSRC}/twofact.spad \
 ${OUTSRC}/unifact.spad ${OUTSRC}/updecomp.spad ${OUTSRC}/updivp.spad \
 ${OUTSRC}/utsode.spad \
 ${OUTSRC}/variable.spad ${OUTSRC}/vector.spad ${OUTSRC}/view2D.spad \
 ${OUTSRC}/view3D.spad ${OUTSRC}/viewDef.spad ${OUTSRC}/viewpack.spad \
 ${OUTSRC}/void.spad \
 ${OUTSRC}/weier.spad ${OUTSRC}/wtpol.spad \
 ${OUTSRC}/xlpoly.spad ${OUTSRC}/xpoly.spad \
 ${OUTSRC}/ystream.spad \
 ${OUTSRC}/zerodim.spad

@

\subsection{The ALDORFILES list}
<<environment>>=

ALDORFILES= \
	axtimer.as \
	ffrac.as \
	herm.as \
	interval.as \
	invnode.as \
	invrender.as \
	invtypes.as \
	invutils.as \
	iviews.as \
	ndftip.as \
	nepip.as \
	noptip.as nqip.as \
	nrc.as nsfip.as 

@

\subsection{The DOCFILES list}
<<environment>>=

DOCFILES= \
 ${DOC}/acplot.spad.dvi ${DOC}/aggcat2.spad.dvi ${DOC}/aggcat.spad.dvi \
 ${DOC}/algcat.spad.dvi ${DOC}/algext.spad.dvi ${DOC}/algfact.spad.dvi \
 ${DOC}/algfunc.spad.dvi ${DOC}/allfact.spad.dvi ${DOC}/alql.spad.dvi \
 ${DOC}/annacat.spad.dvi ${DOC}/any.spad.dvi ${DOC}/array1.spad.dvi \
 ${DOC}/array2.spad.dvi ${DOC}/asp.spad.dvi ${DOC}/attreg.spad.dvi \
 ${DOC}/axtimer.as.dvi \
 ${DOC}/bags.spad.dvi ${DOC}/bezout.spad.dvi ${DOC}/boolean.spad.dvi \
 ${DOC}/brill.spad.dvi \
 ${DOC}/c02.spad.dvi ${DOC}/c05.spad.dvi ${DOC}/c06.spad.dvi \
 ${DOC}/card.spad.dvi ${DOC}/carten.spad.dvi ${DOC}/catdef.spad.dvi \
 ${DOC}/cden.spad.dvi ${DOC}/clifford.spad.dvi ${DOC}/clip.spad.dvi \
 ${DOC}/cmplxrt.spad.dvi ${DOC}/coerce.spad.dvi ${DOC}/color.spad.dvi \
 ${DOC}/combfunc.spad.dvi ${DOC}/combinat.spad.dvi ${DOC}/complet.spad.dvi \
 ${DOC}/constant.spad.dvi ${DOC}/contfrac.spad.dvi ${DOC}/cont.spad.dvi \
 ${DOC}/coordsys.spad.dvi ${DOC}/cra.spad.dvi ${DOC}/crfp.spad.dvi \
 ${DOC}/curve.spad.dvi ${DOC}/cycles.spad.dvi ${DOC}/cyclotom.spad.dvi \
 ${DOC}/d01agents.spad.dvi ${DOC}/d01Package.spad.dvi \
 ${DOC}/d01routine.spad.dvi ${DOC}/d01.spad.dvi ${DOC}/d01transform.spad.dvi \
 ${DOC}/d01weights.spad.dvi ${DOC}/d02agents.spad.dvi \
 ${DOC}/d02Package.spad.dvi ${DOC}/d02routine.spad.dvi ${DOC}/d02.spad.dvi \
 ${DOC}/d03agents.spad.dvi ${DOC}/d03Package.spad.dvi \
 ${DOC}/d03routine.spad.dvi ${DOC}/d03.spad.dvi ${DOC}/ddfact.spad.dvi \
 ${DOC}/defaults.spad.dvi ${DOC}/defintef.spad.dvi ${DOC}/defintrf.spad.dvi \
 ${DOC}/degred.spad.dvi ${DOC}/derham.spad.dvi ${DOC}/dhmatrix.spad.dvi \
 ${DOC}/divisor.spad.dvi ${DOC}/dpolcat.spad.dvi ${DOC}/drawopt.spad.dvi \
 ${DOC}/drawpak.spad.dvi ${DOC}/draw.spad.dvi \
 ${DOC}/e01.spad.dvi ${DOC}/e02.spad.dvi ${DOC}/e04agents.spad.dvi \
 ${DOC}/e04Package.spad.dvi ${DOC}/e04routine.spad.dvi ${DOC}/e04.spad.dvi \
 ${DOC}/efstruc.spad.dvi ${DOC}/efuls.spad.dvi ${DOC}/efupxs.spad.dvi \
 ${DOC}/eigen.spad.dvi ${DOC}/elemntry.spad.dvi ${DOC}/elfuts.spad.dvi \
 ${DOC}/equation1.spad.dvi ${DOC}/equation2.spad.dvi ${DOC}/error.spad.dvi \
 ${DOC}/expexpan.spad.dvi ${DOC}/exposed.lsp.dvi ${DOC}/expr2ups.spad.dvi \
 ${DOC}/exprode.spad.dvi ${DOC}/expr.spad.dvi \
 ${DOC}/f01.spad.dvi ${DOC}/f02.spad.dvi ${DOC}/f04.spad.dvi \
 ${DOC}/f07.spad.dvi ${DOC}/facutil.spad.dvi ${DOC}/ffcat.spad.dvi \
 ${DOC}/ffcg.spad.dvi ${DOC}/fff.spad.dvi ${DOC}/ffhom.spad.dvi \
 ${DOC}/ffnb.spad.dvi ${DOC}/ffpoly2.spad.dvi ${DOC}/ffpoly.spad.dvi \
 ${DOC}/ffp.spad.dvi ${DOC}/ffrac.as.dvi ${DOC}/ffx.spad.dvi \
 ${DOC}/files.spad.dvi ${DOC}/float.spad.dvi ${DOC}/fmod.spad.dvi \
 ${DOC}/fname.spad.dvi ${DOC}/fnla.spad.dvi ${DOC}/formula.spad.dvi \
 ${DOC}/fortcat.spad.dvi ${DOC}/fortmac.spad.dvi ${DOC}/fortpak.spad.dvi \
 ${DOC}/fortran.spad.dvi ${DOC}/forttyp.spad.dvi ${DOC}/fourier.spad.dvi \
 ${DOC}/fparfrac.spad.dvi ${DOC}/fraction.spad.dvi ${DOC}/free.spad.dvi \
 ${DOC}/fr.spad.dvi ${DOC}/fs2expxp.spad.dvi ${DOC}/fs2ups.spad.dvi \
 ${DOC}/fspace.spad.dvi ${DOC}/funcpkgs.spad.dvi ${DOC}/functions.spad.dvi \
 ${DOC}/galfact.spad.dvi ${DOC}/galfactu.spad.dvi ${DOC}/galpolyu.spad.dvi \
 ${DOC}/galutil.spad.dvi ${DOC}/gaussfac.spad.dvi ${DOC}/gaussian.spad.dvi \
 ${DOC}/gbeuclid.spad.dvi ${DOC}/gbintern.spad.dvi ${DOC}/gb.spad.dvi \
 ${DOC}/gdirprod.spad.dvi ${DOC}/gdpoly.spad.dvi ${DOC}/geneez.spad.dvi \
 ${DOC}/generic.spad.dvi ${DOC}/genufact.spad.dvi ${DOC}/genups.spad.dvi \
 ${DOC}/ghensel.spad.dvi ${DOC}/gpgcd.spad.dvi ${DOC}/gpol.spad.dvi \
 ${DOC}/grdef.spad.dvi ${DOC}/groebf.spad.dvi ${DOC}/groebsol.spad.dvi \
 ${DOC}/gseries.spad.dvi \
 ${DOC}/herm.as.dvi \
 ${DOC}/ideal.spad.dvi ${DOC}/idecomp.spad.dvi ${DOC}/indexedp.spad.dvi \
 ${DOC}/infprod.spad.dvi ${DOC}/intaf.spad.dvi ${DOC}/intalg.spad.dvi \
 ${DOC}/intaux.spad.dvi ${DOC}/intclos.spad.dvi ${DOC}/intef.spad.dvi \
 ${DOC}/integer.spad.dvi ${DOC}/integrat.spad.dvi \
 ${DOC}/interval.as.dvi ${DOC}/interval.spad.dvi \
 ${DOC}/intfact.spad.dvi ${DOC}/intpm.spad.dvi \
 ${DOC}/intrf.spad.dvi ${DOC}/invnode.as.dvi ${DOC}/invrender.as.dvi \
 ${DOC}/invtypes.as.dvi ${DOC}/invutils.as.dvi ${DOC}/irexpand.spad.dvi \
 ${DOC}/irsn.spad.dvi ${DOC}/ituple.spad.dvi ${DOC}/iviews.as.dvi \
 ${DOC}/kl.spad.dvi ${DOC}/kovacic.spad.dvi \
 ${DOC}/laplace.spad.dvi ${DOC}/laurent.spad.dvi ${DOC}/leadcdet.spad.dvi \
 ${DOC}/lie.spad.dvi ${DOC}/limitps.spad.dvi ${DOC}/lindep.spad.dvi \
 ${DOC}/lingrob.spad.dvi ${DOC}/liouv.spad.dvi ${DOC}/listgcd.spad.dvi \
 ${DOC}/list.spad.dvi ${DOC}/lmdict.spad.dvi ${DOC}/lodof.spad.dvi \
 ${DOC}/lodop.spad.dvi ${DOC}/lodo.spad.dvi \
 ${DOC}/manip.spad.dvi ${DOC}/mappkg.spad.dvi ${DOC}/matcat.spad.dvi \
 ${DOC}/matfuns.spad.dvi ${DOC}/mathml.spad.dvi \
 ${DOC}/matrix.spad.dvi ${DOC}/matstor.spad.dvi \
 ${DOC}/mesh.spad.dvi ${DOC}/mfinfact.spad.dvi ${DOC}/misc.spad.dvi \
 ${DOC}/mkfunc.spad.dvi ${DOC}/mkrecord.spad.dvi ${DOC}/mlift.spad.jhd.dvi \
 ${DOC}/mlift.spad.dvi ${DOC}/moddfact.spad.dvi ${DOC}/modgcd.spad.dvi \
 ${DOC}/modmonom.spad.dvi ${DOC}/modmon.spad.dvi ${DOC}/modring.spad.dvi \
 ${DOC}/moebius.spad.dvi ${DOC}/mring.spad.dvi ${DOC}/mset.spad.dvi \
 ${DOC}/mts.spad.dvi ${DOC}/multfact.spad.dvi ${DOC}/multpoly.spad.dvi \
 ${DOC}/multsqfr.spad.dvi \
 ${DOC}/naalgc.spad.dvi ${DOC}/naalg.spad.dvi ${DOC}/ndftip.as.dvi \
 ${DOC}/nepip.as.dvi ${DOC}/newdata.spad.dvi ${DOC}/newpoint.spad.dvi \
 ${DOC}/newpoly.spad.dvi ${DOC}/nlinsol.spad.dvi ${DOC}/nlode.spad.dvi \
 ${DOC}/noptip.as.dvi ${DOC}/npcoef.spad.dvi ${DOC}/nqip.as.dvi \
 ${DOC}/nrc.as.dvi ${DOC}/nregset.spad.dvi ${DOC}/nsfip.as.dvi \
 ${DOC}/nsregset.spad.dvi ${DOC}/numeigen.spad.dvi ${DOC}/numeric.spad.dvi \
 ${DOC}/numode.spad.dvi ${DOC}/numquad.spad.dvi ${DOC}/numsolve.spad.dvi \
 ${DOC}/numtheor.spad.dvi \
 ${DOC}/oct.spad.dvi ${DOC}/odealg.spad.dvi ${DOC}/odeef.spad.dvi \
 ${DOC}/oderf.spad.dvi ${DOC}/omcat.spad.dvi ${DOC}/omdev.spad.dvi \
 ${DOC}/omerror.spad.dvi ${DOC}/omserver.spad.dvi ${DOC}/opalg.spad.dvi \
 ${DOC}/openmath.spad.dvi ${DOC}/op.spad.dvi ${DOC}/ore.spad.dvi \
 ${DOC}/outform.spad.dvi ${DOC}/out.spad.dvi \
 ${DOC}/pade.spad.dvi ${DOC}/padiclib.spad.dvi ${DOC}/padic.spad.dvi \
 ${DOC}/paramete.spad.dvi ${DOC}/partperm.spad.dvi ${DOC}/patmatch1.spad.dvi \
 ${DOC}/patmatch2.spad.dvi ${DOC}/pattern.spad.dvi ${DOC}/pcurve.spad.dvi \
 ${DOC}/pdecomp.spad.dvi ${DOC}/perman.spad.dvi ${DOC}/permgrps.spad.dvi \
 ${DOC}/perm.spad.dvi ${DOC}/pfbr.spad.dvi ${DOC}/pfo.spad.dvi \
 ${DOC}/pfr.spad.dvi ${DOC}/pf.spad.dvi ${DOC}/pgcd.spad.dvi \
 ${DOC}/pgrobner.spad.dvi ${DOC}/pinterp.spad.dvi ${DOC}/pleqn.spad.dvi \
 ${DOC}/plot3d.spad.dvi ${DOC}/plot.spad.dvi ${DOC}/plottool.spad.dvi \
 ${DOC}/polset.spad.dvi ${DOC}/poltopol.spad.dvi ${DOC}/polycat.spad.dvi \
 ${DOC}/poly.spad.dvi ${DOC}/primelt.spad.dvi ${DOC}/print.spad.dvi \
 ${DOC}/product.spad.dvi ${DOC}/prs.spad.dvi ${DOC}/prtition.spad.dvi \
 ${DOC}/pscat.spad.dvi ${DOC}/pseudolin.spad.dvi ${DOC}/ptranfn.spad.dvi \
 ${DOC}/puiseux.spad.dvi \
 ${DOC}/qalgset.spad.dvi ${DOC}/quat.spad.dvi \
 ${DOC}/radeigen.spad.dvi ${DOC}/radix.spad.dvi ${DOC}/random.spad.dvi \
 ${DOC}/ratfact.spad.dvi ${DOC}/rdeef.spad.dvi ${DOC}/rderf.spad.dvi \
 ${DOC}/rdesys.spad.dvi ${DOC}/real0q.spad.dvi ${DOC}/realzero.spad.dvi \
 ${DOC}/reclos.spad.dvi ${DOC}/regset.spad.dvi ${DOC}/rep1.spad.dvi \
 ${DOC}/rep2.spad.dvi ${DOC}/resring.spad.dvi ${DOC}/retract.spad.dvi \
 ${DOC}/rf.spad.dvi ${DOC}/riccati.spad.dvi ${DOC}/rinterp.spad.dvi \
 ${DOC}/routines.spad.dvi \
 ${DOC}/rule.spad.dvi \
 ${DOC}/seg.spad.dvi ${DOC}/setorder.spad.dvi ${DOC}/sets.spad.dvi \
 ${DOC}/sex.spad.dvi ${DOC}/sf.spad.dvi ${DOC}/sgcf.spad.dvi \
 ${DOC}/sign.spad.dvi ${DOC}/si.spad.dvi ${DOC}/smith.spad.dvi \
 ${DOC}/solvedio.spad.dvi ${DOC}/solvefor.spad.dvi ${DOC}/solvelin.spad.dvi \
 ${DOC}/solverad.spad.dvi ${DOC}/sortpak.spad.dvi ${DOC}/space.spad.dvi \
 ${DOC}/special.spad.dvi ${DOC}/sregset.spad.dvi ${DOC}/s.spad.dvi \
 ${DOC}/stream.spad.dvi ${DOC}/string.spad.dvi ${DOC}/sttaylor.spad.dvi \
 ${DOC}/sttf.spad.dvi ${DOC}/sturm.spad.dvi ${DOC}/suchthat.spad.dvi \
 ${DOC}/suls.spad.dvi ${DOC}/sum.spad.dvi ${DOC}/sups.spad.dvi \
 ${DOC}/supxs.spad.dvi ${DOC}/suts.spad.dvi ${DOC}/symbol.spad.dvi \
 ${DOC}/syssolp.spad.dvi ${DOC}/system.spad.dvi \
 ${DOC}/tableau.spad.dvi ${DOC}/table.spad.dvi ${DOC}/taylor.spad.dvi \
 ${DOC}/tex.spad.dvi ${DOC}/tools.spad.dvi ${DOC}/transsolve.spad.dvi \
 ${DOC}/tree.spad.dvi ${DOC}/trigcat.spad.dvi ${DOC}/triset.spad.dvi \
 ${DOC}/tube.spad.dvi ${DOC}/twofact.spad.dvi \
 ${DOC}/unifact.spad.dvi ${DOC}/updecomp.spad.dvi ${DOC}/updivp.spad.dvi \
 ${DOC}/utsode.spad.dvi \
 ${DOC}/variable.spad.dvi ${DOC}/vector.spad.dvi ${DOC}/view2D.spad.dvi \
 ${DOC}/view3D.spad.dvi ${DOC}/viewDef.spad.dvi ${DOC}/viewpack.spad.dvi \
 ${DOC}/void.spad.dvi \
 ${DOC}/weier.spad.dvi ${DOC}/wtpol.spad.dvi \
 ${DOC}/xlpoly.spad.dvi ${DOC}/xpoly.spad.dvi \
 ${DOC}/ystream.spad.dvi \
 ${DOC}/zerodim.spad.dvi

@

\section{Test Cases}

<<environment>>=

TESTS=${INPUT}/INTHEORY.input ${INPUT}/VIEW2D.input ${INPUT}/TESTFR.input

@

<<testrules>>=

${INPUT}/TESTFR.input: $(srcdir)/fr.spad.pamphlet
	$(axiom_build_document) --tangle='TEST FR' --output=$@ $<

${INPUT}/INTHEORY.input: $(srcdir)/numtheor.spad.pamphlet
	$(axiom_build_document) --tangle='TEST INTHEORY' --output=$@ $<

${INPUT}/VIEW2D.input: $(srcdir)/view2D.spad.pamphlet
	$(axiom_build_document) --tangle='TEST VIEW2D' --output=$@ $<

@

\section{The Makefile Stanzas}

A [[spad]] pamphlet can contain many Axiom [[categories]], [[domains]], and
[[packages]]. 

For the purpose of explanation we assume that the pamphlet file is 
named [[foo.spad.pamphlet]]. It contains the domains [[BAR]], [[BAX]],
and [[BAZ]]. Thus there will be a subsection named [[foo.spad]].

Since pamphlet files (e.g. [[foo.spad.pamphlet]] contain a spad file
e.g. [[foo.spad]], it follows that every subsection contains a Makefile
stanza that extract the [[foo.spad]] file using [[notangle]].

Since pamphlet files are intended as documents it follows that each
subsection contains a Makefile stanza that extracts a [[dvi]] file
using [[noweave]].

We could have a category, domain, or package that is in
the ``bootstrap'' list. Bootstrap spad files contain their generated
lisp code in special sections. The way bootstrapping works is that
we extract the lisp code and compile it rather than extracting the
spad code. We do this because we need the domain to exist before we
can compile the domain. Some domains depend on themselves directly.
Some domains depend on themselves thru a long chain of other domains.
In either case we can't compile the domain until it exists so we
cache the generated lisp code and, when we need to bootstrap the
domain, we compile the raw lisp rather than the spad.

This will only happen when the system is built from scratch. Once
the system has been built the bootstrap code is no longer executed
and these algebra files will appear as normal algebra files. That
means that once the system has been built once only the last three
rules will ever be executed. The first two rules happen when the
system is built from scratch.

A 5 stanza group for this case performs the following functions:
\begin{enumerate}
\item extract the lisp [[BAR.lsp]] from the pamphlet [[foo.spad.pamphlet]]
\item compile and copy the bootstrap lisp to the final algebra directory
\item extract the bootstrap [[BAR.lsp]] from the spad file [[foo.spad]]
\item compile the extracted [[BAR]] domain
\item copy the compiled [[BAR]] to the final algebra directory
\end{enumerate}

The subtle point here occurs in the first item. The bootstrap code
group (in the [[layer0 bootstrap]] code chunk above) asks for the
compiled [[.$(FASLEXT)]] files in the \File{strap/} directory. Essentially this
code group calls for intermediate compiled files. This triggers the
bootstrap stanzas (items 1 and 2 above). All of the other layer 
chunks ask for compiled code in the [[\${OUT}]] directory which is
the final algebra directory. 

The bootstrap process works because first we ask for the compiled
lisp code stanzas (the \File{strap/BAR.$(FASLEXT)} files), THEN we ask for
the final algebra code stanzas (the [[\${OUT}/BAR.$(FASLEXT)]] files). This
is a very subtle point so think it through carefully. The layer0
bootstrap list is the only file list that calls for \File{strap/} files.
All other layers ask for [[\${OUT}]] files. Make sure you
understand this before you change things. If you break it the
world will no longer compile.

So we have a 3 stanza group for normal files, a 3+2 (5) stanza
group for normal files with default code, and a 3+2 (5) stanza
group for normal files that need to be bootstrapped. There is
another combination that occurs, namely bootstrap code that
also contains default code which gives a 3+2+2+2 (9) stanza case.
(see TSETCAT for an example. Be sure to read the items in reverse order).

A 9 stanza group for this case performs the following functions:
\begin{enumerate}
\item extract the bootstrap \File{BAR.lsp} from the \File{foo.spad.pamphlet}
\item compile the bootstrap \File{BAR.lsp} to the \File{strap/} directory
\item extract the bootstrap \File{BAR-.lsp} from the \File{foo.spad.pamphlet}
\item compile the bootstrap \File{BAR-.lsp} to the \File{strap/} directory
\item extract the spad \File{BAR.spad} from the pamphlet 
  \File{foo.spad.pamphlet}
\item compile the extracted \File{BAR.spad} domain (to get [[BAR.$(FASLEXT)]])
\item copy the \File{BAR.$(FASLEXT)} to the final algebra directory
\item compile the extracted \File{BAR-.spad} domain (to get [[BAR-.$(FASLEXT)]])
\item copy the [[BAR-.$(FASLEXT)]] to the final algebra directory
\end{enumerate}

As you can see this is just the combination of the two possible 5
stanza case. We just have to deal with the [[BAR-]] both in regular
and bootstrap files. The first four stanzas will only happen when
the system is built from scratch. Once the system is built these
four rules no longer apply and these stanzas effectively act like
the 5 stanza rules above.

I'm sure all of this seems confusing but it is very stylized code.
Basically you need to figure out which kind of stanza group you need,
copy an existing stanza group, and do a correct renaming of the parts.
The decision tree looks something like:
\begin{verbatim}
IF (you have a regular spad domain)
 THEN use a 3 stanza form (see YSTREAM)
IF (you have a default spad domain (it generates [[-]] files)) AND
   (it does not require bootstrapping)
 THEN use the first 5 stanza form explained above (see LIECAT)
IF (you have a normal spad domain) AND
   (it requires bootstrapping)
 THEN use the second 5 stanza form explained above (see VECTOR)
IF (you have a default spad domain (it generates [[-]] files)) AND
   (it requires bootstrapping)
 THEN use the 9 stanza form explained above (see TSETCAT)
\end{verbatim}

\section{Generic Make Rules}

The idea is to use generic rules to try to cut down the size of this file.

This Makefile works very hard to cache
intermediate results in order to minimize the re-build time. The cached
files are kept in the current build and \File{strap/} directories. 
If one of these
files disappears but the original pamphlet file is unchanged we only
need to rebuild the intermediate file. These rule will attempt to do
that and they succeed however these are intermediate files created by
implicit rules so they would normally be deleted. To prevent the removal
the NRLIB directory and its contents, the files are marked as .PRECIOUS.

The output of the compile step is saved in a file of the same name
and extension .$(FASLEXT)ut in the \${MID} directory. These files are useful for
deriving the dependencies by scanning the ``Loading ...'' messages.

<<genericDotOfiles>>=

${OUT}/%.$(FASLEXT): %.NRLIB/code.$(FASLEXT)
	cp $*.NRLIB/code.$(FASLEXT) ${OUT}/$*.$(FASLEXT)

@ 

<<genericNRLIBfiles>>=

.PRECIOUS: %.NRLIB/code.$(FASLEXT)
%.NRLIB/code.$(FASLEXT): %.spad
	@ rm -rf $*.NRLIB
	echo ")co $*.spad" | ${INTERPSYS} --strap=strap
@

<<genericBOOTSTRAPfiles>>=
# Compile bootstrap file to machine object code, and the result
# immediately available for AXIOMsys consumption.
strap/%.$(FASLEXT): %.lsp
	$(COMPILE_LISP)
@

<<genericSPADfiles>>=

$(OUTSRC)/%.spad: mk-target-src-algabra-dir

${OUTSRC}/%.spad: $(srcdir)/%.spad.pamphlet
	$(axiom_build_document) --tangle --output=$@ $<

.PHONY: mk-target-src-algabra-dir
mk-target-src-algabra-dir:
	@ [ -d $(OUTSRC) ] || $(mkinstalldirs) $(OUTSRC)

@
<<genericDOCfiles>>=
.PRECIOUS: $(builddir)/%.tex
.PRECIOUS: $(builddir)/%.dvi

$(DOC)/%.dvi:  mk-target-doc-dir

.PHONY: mk-target-doc-dir
mk-target-doc-dir:
	@ [ -d $(DOC) ] || $(mkinstalldirs) $(DOC)

$(DOC)/%.dvi: $(builddir)/%.dvi
	$(INSTALL_DATA) $< $@

$(builddir)/%.dvi: $(axiom_build_texdir)/diagrams.tex \
		   $(axiom_build_texdir)/axiom.sty

$(builddir)/%.dvi: $(builddir)/%.tex
	$(axiom_build_document) --latex $<

$(builddir)/%.tex: $(srcdir)/%.pamphlet
	$(axiom_build_document) --weave --output=$@ $<

$(axiom_build_texdir)/diagrams.tex: $(axiom_src_docdir)/diagrams.tex
	$(INSTALL_DATA) $< $@
@
<<genericRules>>=

<<genericDotOfiles>>
<<genericNRLIBfiles>>
<<genericBOOTSTRAPfiles>>
<<genericSPADfiles>>
<<genericDOCfiles>>

SPADPRSR.NRLIB/code.$(FASLEXT): spad-parser.spad
	@ rm -rf SPADPRSR.NRLIB
	echo ")co $(srcdir)/spad-parser.spad" | ${INTERPSYS}

PARSER.NRLIB/code.$(FASLEXT): script-parser.spad
	@ rm -rf PARSER.NRLIB
	echo ")co $(srcdir)/script-parser.spad" | ${INTERPSYS}

@
<<diagrams.tex (OUT from IN)>>=

${DOC}/diagrams.tex: $(axiom_src_docdir)/diagrams.tex
	$(INSTALL_DATA) $< $@
 
@

\section{Pamphlet file structure}

Because the individual .spad files are grouped into higher-level
algebra pamphlet files, the rules for extracting them are coded
below as simple ``awk'' scripts that are called when the Makefile
is constructed.

There are, at present, 3 kinds of algebra files to be handled.
First we have [[.as]] files which use the [[aldor]] compiler.
These are ignored here as the compiler is not yet integrated.

Second, there are the bootstrap files. These files live within
their respective pamphlet files and are "captured" lisp code.
These are necessary to create the algebra. See the 
[[src/algebra/Makefile.pamphlet]] for details.

Third, there are 3 "types" of algebra which are all treated 
the same at compile time, namely the "domain", "category", and
"package" algebra.

\subsection{Finding the algebra code}

NOTE: This construct is now moved to configure time.  Update.

Step 1 is to scan all of the algebra pamphlet files for the
chunk names which contain the string "domain", "package", or
"category". This is done using egrep (same as grep -E, which
means that the pattern is an extended regular expression) because
extended regular expressions allows the use of alternatives
written as (domain|package|category). Thus the command
\begin{verbatim}
 egrep '@<<(domain|package|category) .*>>=' *.spad.pamphlet 
\end{verbatim}
will scan the algebra files looking for special chunknames.
Axiom's chunk names are written in a stylized form so that each
algebra chunk name begins with one of those three symbols. Thus 
in zerodim.spad.pamphlet the LexTriangularPackage chunkname is:
\begin{verbatim}
@<<package LEXTRIPK LexTriangularPackage>>
\end{verbatim}
so this egrep will generate an output line, prefixed by the filename
that looks like:
\begin{verbatim}
zerodim.spad.pamphlet:@<<package LEXTRIPK LexTriangularPackage>>=
\end{verbatim}
There can be many lines of output per pamphlet file, one for
each domain, package and category cod chunk contained in the file.

Step 2 is an [[awk]] command line.

\subsection{Write the Makefile stanzas for the algebra files}

NOTE: This construct is now moved to configure time.

[awk] processes each line of the [[egrep]] output. 

The awk script uses [[-F:]] which is a flag that says that a [[:]] is
the field separator. As a result the \$1 and \$2 in the awk script
refer to the parts of the egrep output that come before and after the
[[:]] respectively.

The variable [[chunk]] is assigned the actual chunk name minus
the @<< and >>= delimiters. In the example given above this will become
\begin{verbatim}
package LEXTRIPK LexTriangularPackage
\end{verbatim}
The call to [[split]] splits the chunk into parts separated
by spaces. Thus
\begin{verbatim}
  part[1]=package
  part[2]=LEXTRIPK
  part[3]=LexTriangularPackage
\end{verbatim}
The variable [[spadfile]] in the above example is set to
\begin{verbatim}
${MID}/LEXTRIPK.spad
\end{verbatim}
Finally, in the domain example given above we print two lines.
The first line is the Makefile stanza header which depends on the
original [[zerodim.spad.pamphlet]] file.

The second line is the body of the makefile stanza which calls 
notangle to extract the algebra from the original pamphlet using
the chunk name and writes it to the intermediate subdirectory. In
the case above this would resolve to [[\${MID}/LEXTRIPK.spad]].

For the line given above it outputs the following:
\begin{verbatim}
${MID}/LEXTRIPK.spad: $(srcdir)/zerodim.spad.pamphlet
	$(axiom_build_document) --tangle='package LEXTRIPK LexTriangularPackage' --output=$@ $<
\end{verbatim}

\subsection{Find the algebra bootstrap code}

Step 3 works like step 1 above except that we are looking for
chunk names that have the "BOOTSTRAP" string. The output will look like:
\begin{verbatim}
vector.spad.pamphlet:@<<VECTOR.lsp BOOTSTRAP>>=
\end{verbatim}
This output, which can consist of many lines per input file is piped
into [[awk]].

The process is the same way as described above except that
there are only two parts to the chunk names
\begin{verbatim}
  part[1]=VECTOR.lsp
  part[2]=BOOTSTRAP
\end{verbatim}
The [[lspfile]] variable is assigned
\begin{verbatim}
${MID}/VECTOR.lsp
\end{verbatim}
Finally we output two lines:
\begin{verbatim}
${MID}/vector.spad.pamphlet: $(srcdir)/vector.spad.pamphlet
	$(axiom_build_document) --tangle='VECTOR.lsp BOOTSTRAP' --output=$@ $<
\end{verbatim}

The first line is the stanza head and creates a dependence between
the intermediate file, in this case [[int/algebra/VECTOR.lsp]] and
the input file [[src/algebra/vector.spad.pamphlet]]

The second line calls [[notangle]] to extract the required chunk
from the source file.

\section{Stage markers}

We output these as each stage completes.
<<stages>>=
$(axiom_algebra_layer_0_objects): strap-stamp
$(axiom_algebra_layer_1_objects): 0-stamp
$(axiom_algebra_layer_2_objects): 1-stamp
$(axiom_algebra_layer_3_objects): 2-stamp
$(axiom_algebra_layer_4_objects): 3-stamp
$(axiom_algebra_layer_5_objects): 4-stamp
$(axiom_algebra_layer_6_objects): 5-stamp
$(axiom_algebra_layer_7_objects): 6-stamp
$(axiom_algebra_layer_8_objects): 7-stamp
$(axiom_algebra_layer_9_objects): 8-stamp
$(axiom_algebra_layer_10_objects): 9-stamp
$(axiom_algebra_layer_11_objects): 10-stamp
$(axiom_algebra_layer_12_objects): 11-stamp
$(axiom_algebra_layer_13_objects): 12-stamp
$(axiom_algebra_layer_14_objects): 13-stamp
$(axiom_algebra_layer_15_objects): 14-stamp
$(axiom_algebra_layer_16_objects): 15-stamp
$(axiom_algebra_layer_17_objects): 16-stamp
$(axiom_algebra_layer_18_objects): 17-stamp
$(axiom_algebra_layer_19_objects): 18-stamp
$(axiom_algebra_layer_20_objects): 19-stamp
$(axiom_algebra_layer_21_objects): 20-stamp
$(axiom_algebra_layer_22_objects): 21-stamp
$(axiom_algebra_layer_23_objects): 22-stamp
$(axiom_algebra_layer_user_objects): 23-stamp
$(axiom_algebra_bootstrap_objects): user-stamp

strap-stamp: $(axiom_algebra_layer_strap_objects)
	@ rm -f strap-stamp
	@ $(STAMP) strap-stamp
	@ echo =====================================
	@ echo === algebra bootstrap complete ======
	@ echo =====================================

0-stamp: strap-stamp $(axiom_algebra_layer_0_objects)
	@ rm -f 0-stamp
	@ $(STAMP) 0-stamp
	@ echo ==================================
	@ echo === layer 0 of 23 complete ======
	@ echo ==================================

1-stamp: 0-stamp $(axiom_algebra_layer_1_objects)
	@ rm -f 1-stamp
	@ $(STAMP) 1-stamp
	@ echo ==================================
	@ echo === layer 1 of 23 complete ======
	@ echo ==================================

2-stamp: 1-stamp $(axiom_algebra_layer_2_objects)
	@ rm -f 2-stamp
	@ $(STAMP) 2-stamp
	@ echo ==================================
	@ echo === layer 2 of 23 complete ======
	@ echo ==================================

3-stamp: 2-stamp $(axiom_algebra_layer_3_objects)
	@ rm -f 3-stamp
	@ $(STAMP) 3-stamp
	@ echo ==================================
	@ echo === layer 3 of 23 complete ======
	@ echo ==================================

4-stamp: 3-stamp $(axiom_algebra_layer_4_objects)
	@ rm -f 4-stamp
	@ $(STAMP) 4-stamp
	@ echo ==================================
	@ echo === layer 4 of 23 complete ======
	@ echo ==================================

5-stamp: 4-stamp $(axiom_algebra_layer_5_objects)
	@ rm -f 5-stamp
	@ $(STAMP) 5-stamp
	@ echo ==================================
	@ echo === layer 5 of 23 complete ======
	@ echo ==================================

6-stamp: 5-stamp $(axiom_algebra_layer_6_objects)
	@ rm -f 6-stamp
	@ $(STAMP) 6-stamp
	@ echo ==================================
	@ echo === layer 6 of 23 complete ======
	@ echo ==================================

7-stamp: 6-stamp $(axiom_algebra_layer_7_objects)
	@ rm -f 7-stamp
	@ $(STAMP) 7-stamp
	@ echo ==================================
	@ echo === layer 7 of 23 complete ======
	@ echo ==================================

8-stamp: 7-stamp $(axiom_algebra_layer_8_objects)
	@ rm -f 8-stamp
	@ $(STAMP) 8-stamp
	@ echo ==================================
	@ echo === layer 8 of 23 complete ======
	@ echo ==================================

9-stamp: 8-stamp $(axiom_algebra_layer_9_objects)
	@ rm -f 9-stamp
	@ $(STAMP) 9-stamp
	@ echo ==================================
	@ echo === layer 9 of 23 complete ======
	@ echo ==================================

10-stamp: 9-stamp $(axiom_algebra_layer_10_objects)
	@ rm -f 10-stamp
	@ $(STAMP) 10-stamp
	@ echo ==================================
	@ echo === layer 10 of 23 complete ======
	@ echo ==================================

11-stamp: 10-stamp $(axiom_algebra_layer_11_objects)
	@ rm -f 11-stamp
	@ $(STAMP) 11-stamp
	@ echo ==================================
	@ echo === layer 11 of 23 complete ======
	@ echo ==================================

12-stamp: 11-stamp $(axiom_algebra_layer_12_objects)
	@ rm -f 12-stamp
	@ $(STAMP) 12-stamp
	@ echo ==================================
	@ echo === layer 12 of 23 complete ======
	@ echo ==================================

13-stamp: 12-stamp $(axiom_algebra_layer_13_objects)
	@ rm -f 13-stamp
	@ $(STAMP) 13-stamp
	@ echo ==================================
	@ echo === layer 13 of 23 complete ======
	@ echo ==================================

14-stamp: 13-stamp $(axiom_algebra_layer_14_objects)
	@ rm -f 14-stamp
	@ $(STAMP) 14-stamp
	@ echo ==================================
	@ echo === layer 14 of 23 complete ======
	@ echo ==================================

15-stamp: 14-stamp $(axiom_algebra_layer_15_objects)
	@ rm -f 15-stamp
	@ $(STAMP) 15-stamp
	@ echo ==================================
	@ echo === layer 15 of 23 complete ======
	@ echo ==================================

16-stamp: 15-stamp $(axiom_algebra_layer_16_objects)
	@ rm -f 16-stamp
	@ $(STAMP) 16-stamp
	@ echo ==================================
	@ echo === layer 16 of 23 complete ======
	@ echo ==================================

17-stamp: 16-stamp $(axiom_algebra_layer_17_objects)
	@ rm -f 17-stamp
	@ $(STAMP) 17-stamp
	@ echo ==================================
	@ echo === layer 17 of 23 complete ======
	@ echo ==================================

18-stamp: 17-stamp $(axiom_algebra_layer_18_objects)
	@ rm -f 18-stamp
	@ $(STAMP) 18-stamp
	@ echo ==================================
	@ echo === layer 18 of 23 complete ======
	@ echo ==================================

19-stamp: 18-stamp $(axiom_algebra_layer_19_objects)
	@ rm -f 19-stamp
	@ $(STAMP) 19-stamp
	@ echo ==================================
	@ echo === layer 19 of 23 complete ======
	@ echo ==================================

20-stamp: 19-stamp $(axiom_algebra_layer_20_objects)
	@ rm -f 20-stamp
	@ $(STAMP) 20-stamp
	@ echo ==================================
	@ echo === layer 20 of 23 complete ======
	@ echo ==================================

21-stamp: 20-stamp $(axiom_algebra_layer_21_objects)
	@ rm -f 21-stamp
	@ $(STAMP) 21-stamp
	@ echo ==================================
	@ echo === layer 21 of 23 complete ======
	@ echo ==================================

22-stamp: 21-stamp $(axiom_algebra_layer_22_objects)
	@ rm -f 22-stamp
	@ $(STAMP) 22-stamp
	@ echo ==================================
	@ echo === layer 22 of 23 complete ======
	@ echo ==================================

23-stamp: 22-stamp $(axiom_algebra_layer_23_objects)
	@ rm -f 23-stamp
	@ $(STAMP) 23-stamp
	@ echo ==================================
	@ echo === layer 23 of 23 complete ======
	@ echo ==================================

user-stamp: 23-stamp $(axiom_algebra_layer_user_objects)
	@ rm -f user-stamp
	@ $(STAMP) user-stamp


# bootstrap-pre: user-stamp $(axiom_algebra_bootstrap_nrlibs)
# $(axiom_algebra_bootstrap_nrlibs): user-stamp

# bootstrap-post: bootstrap-pre $(axiom_algebra_bootstrap_objects)

bootstrap-stamp: $(axiom_algebra_bootstrap_objects)
	@ rm -f bootstrap-stamp
	@ $(STAMP) bootstrap-stamp
	@ echo ==================================
	@ echo ===    algebra complete     ======
	@ echo ==================================
@

\section{The Makefile}

<<*>>=
<<environment>>

subdir = src/algebra/

<<layer0 bootstrap>>
<<layer0 copy>>
<<layer0>> 
<<layer1>>
<<layer2>>
<<layer3>>
<<layer4>>
<<layer5>>
<<layer6>>
<<layer7>>
<<layer8>>
<<layer9>>
<<layer10>>
<<layer11>>
<<layer12>>
<<layer13>>
<<layer14>>
<<layer15>>
<<layer16>>
<<layer17>>
<<layer18>>
<<layer19>>
<<layer20>>
<<layer21>>
<<layer22>>
<<layer23>>
<<USERLAYER>>

.PHONY: all all-algebra mkdir-output-directory
all: all-ax

all-ax all-algebra: stamp
	@ echo finished $(builddir)

stamp: mkdir-output-directory ${SPADFILES} bootstrap-stamp ${TESTS}
	-rm -f stamp
	$(STAMP) stamp

mkdir-output-directory:
	$(mkinstalldirs) $(OUTSRC)

everything: check lib db cmd gloss
	@ echo 4303 invoking make in `pwd` with parms:
	@ echo SYS= ${SYS} LSP= ${LSP}
	@ echo MNT= ${MNT} LISP=${LISP} BYE=${BYE}

check:
	@ echo 4305 Checking that INTERP.EXPOSED and NRLIBs are consistent
	@ echo 4306 libcheck needs to use exposed.lsp, not INTERP.EXPOSED


<<genericRules>>

<<testrules>>
<<diagrams.tex (OUT from IN)>>
<<stages>>

mostlyclean-local:
	@rm -f $(OUT)/*.$(FASLEXT) $(OUT)/*.daase
	@rm -rf *.NRLIB
	@rm -rf *.DAASE *.daase libdb.text
	@rm -rf strap
	@rm -f *stamp

clean-local: mostlyclean-local

distclean-local: clean-local

include extract-lisp-files.mk
include extract-spad.mk

.NOTPARALLEL:

@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}