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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/interp fortcall.boot}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+-- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
+-- All rights reserved.
+--
+-- Redistribution and use in source and binary forms, with or without
+-- modification, are permitted provided that the following conditions are
+-- met:
+--
+-- - Redistributions of source code must retain the above copyright
+-- notice, this list of conditions and the following disclaimer.
+--
+-- - Redistributions in binary form must reproduce the above copyright
+-- notice, this list of conditions and the following disclaimer in
+-- the documentation and/or other materials provided with the
+-- distribution.
+--
+-- - Neither the name of The Numerical ALgorithms Group Ltd. nor the
+-- names of its contributors may be used to endorse or promote products
+-- derived from this software without specific prior written permission.
+--
+-- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
+-- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+-- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
+-- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
+-- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+-- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+-- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+-- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+-- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+-- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+-- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+@
+<<*>>=
+<<license>>
+
+makeFort(name,args,decls,results,returnType,aspInfo) ==
+ -- Create an executable Fortran file to call a given library function,
+ -- and a stub Axiom function to process its arguments.
+ -- the following is a list of objects for which values need not be
+ -- passed by the user.
+ dummies := [SECOND(u) for u in args | EQUAL(car u,0)]
+ args := [untangle2(u) for u in args] -- lose spad Union representation
+ where untangle2 u ==
+ atom (v := rest(u)) => v
+ first(v)
+ userArgs := [u for u in args | not member(u,dummies)] -- Temporary
+ decls := [untangle(u) for u in decls] -- lose spad Union representation
+ where untangle u ==
+ [if atom(rest(v)) then rest(v) else _
+ [if atom(w) then w else rest(w) for w in rest(v)] for v in u]
+ makeFort1(name,args,userArgs,dummies,decls,results,returnType,aspInfo)
+
+makeFort1(name,args,userArgs,dummies,decls,results,returnType,aspInfo) ==
+ asps := [first(u) for u in aspInfo]
+ -- Now reorder the arguments so that all the scalars come first, so
+ -- that when we come to deal with arrays we know all the dimensions.
+ scalarArgs := [u for u in args | atom getFortranType(u,decls)]
+ arrayArgs := [u for u in args | not member(u,scalarArgs)]
+ orderedArgs := [:scalarArgs,:arrayArgs]
+ file := if $fortranDirectory then
+ STRCONC($fortranDirectory,"/",STRINGIMAGE name)
+ else
+ STRINGIMAGE name
+ makeFortranFun(name,orderedArgs,args,dummies,decls,results,file,
+ $fortranDirectory,returnType,asps)
+ makeSpadFun(name,userArgs,orderedArgs,dummies,decls,results,returnType,asps,
+ aspInfo,file)
+ name
+
+makeFortranFun(name,args,fortranArgs,dummies,decls,results,file,dir,
+ returnType,asps) ==
+ -- Create a C file to call the library function, and compile it.
+ fp := MAKE_-OUTSTREAM(STRCONC(file,".c"))
+ writeCFile(name,args,fortranArgs,dummies,decls,results,returnType,asps,fp)
+ if null dir then dir := '"."
+ asps => SYSTEM STRCONC("cc -c ",file,".c ; mv ",file,".o ",dir)
+ SYSTEM STRCONC("cc ",file,".c -o ",file,".spadexe ",$fortranLibraries)
+
+writeCFile(name,args,fortranArgs,dummies,decls,results,returnType,asps,fp) ==
+ WRITE_-LINE('"#include <stdio.h>",fp)
+ WRITE_-LINE('"#include <sys/select.h>",fp)
+ WRITE_-LINE('"#include <rpc/rpc.h>",fp)
+ WRITE_-LINE('"#ifndef NULL",fp)
+ WRITE_-LINE('"#define NULL 0",fp)
+ WRITE_-LINE('"#endif NULL",fp)
+ WRITE_-LINE('"#define MAX__ARRAY(x) (x ? x : 20000)",fp)
+ WRITE_-LINE('"#define CHECK(x) if (!x) {fprintf(stderr,_"xdr failed_"); exit(1);}",fp)
+ WRITE_-LINE('"void main()",fp)
+ WRITE_-LINE('"{",fp)
+ WRITE_-LINE('" XDR xdrs;",fp)
+ WRITE_-LINE('" {",fp)
+ if $addUnderscoreToFortranNames then
+ routineName := STRCONC(name,STRING(95))
+ else
+ routineName := name
+ -- If it is a function then give it somewhere to stick its result:
+ if returnType then
+ returnName := INTERN STRCONC(name,"__result")
+ wl(['" ",getCType returnType,'" ",returnName,'",",routineName,'"();"],fp)
+ -- print out type declarations for the Fortran parameters, and build an
+ -- ordered list of pairs [<parameter> , <type>]
+ argList := nil
+ for a in args repeat
+ argList := [[a, getCType getFortranType(a,decls)], :argList]
+ printDec(SECOND first argList,a,asps,fp)
+ argList := nreverse argList;
+ -- read in the data
+ WRITE_-LINE('" xdrstdio__create(&xdrs, stdin, XDR__DECODE);",fp)
+ for a in argList repeat
+ if LISTP SECOND a then writeMalloc(first a,first SECOND a,rest SECOND a,fp)
+ not MEMQ(first a,[:dummies,:asps]) => writeXDR(a,'"&xdrs",fp)
+ -- now call the Library routine. FORTRAN names may have an underscore
+ -- appended.
+ if returnType then
+ wt(['" ",returnName,'"="],fp)
+ else
+ wt(['" "],fp)
+ wt([routineName,'"("],fp)
+ if first fortranArgs then
+ printCName(first fortranArgs,isPointer?(first fortranArgs,decls),asps,fp)
+ for a in rest fortranArgs repeat
+ PRINC('",",fp)
+ printCName(a,isPointer?(a,decls),asps,fp)
+ writeStringLengths(fortranArgs,decls,fp)
+ WRITE_-LINE('");",fp)
+ -- now export the results.
+ WRITE_-LINE('" xdrstdio__create(&xdrs, stdout, XDR__ENCODE);",fp)
+ if returnType then
+ writeXDR([returnName,getCType returnType],'"&xdrs",fp)
+ for r in results repeat
+ writeXDR([r,getCType getFortranType(r,decls)],'"&xdrs",fp)
+ WRITE_-LINE('" exit(0);",fp)
+ WRITE_-LINE('" }",fp)
+ WRITE_-LINE('"}",fp)
+
+writeStringLengths(fortranArgs,decls,fp) ==
+ for a in fortranArgs repeat
+ if isString?(a,decls) then wt(['",&",a,'"__length"],fp)
+
+isString?(u,decls) ==
+ EQUAL(ty := getFortranType(u,decls),"character") or
+ LISTP(ty) and EQUAL(first ty,"character")
+
+isPointer?(u,decls) ==
+ ty := getFortranType(u,decls)
+ LISTP(ty) or ty in ["character","complex","double complex"]
+
+printCName(u,ispointer,asps,fp) ==
+ member(u,asps) =>
+ PRINC(u,fp)
+ if $addUnderscoreToFortranNames then PRINC(STRING(95),fp)
+ if not ispointer then PRINC('"&",fp)
+ PRINC(u,fp)
+
+getFortranType(u,decls) ==
+ -- find u in decls, return the given (Fortran) type.
+ result := nil
+ for d in decls repeat for dec in rest d repeat
+ atom(dec) and dec=u =>
+ return( result := first d )
+ LISTP(dec) and first(dec)=u =>
+ return( result := [first d,:rest dec] )
+ result => result
+ error ['"Undeclared Fortran parameter: ",u]
+
+getCType t ==
+ -- Return the equivalent C type.
+ LISTP(t) =>
+ --[if first(t)="character" then '"char" else getCType first t,:rest t]
+ first(t)="character" => ['"char",:rest t]
+ first(t)="complex" => ['"float",2,:rest t]
+ first(t)="double complex" => ['"double",2,:rest t]
+ [getCType first t,:rest t]
+ t="double" => '"double"
+ t="double precision" => '"double"
+ t="integer" => '"int"
+ t="real" => '"float"
+ t="logical" => '"int"
+ t="character" => ['"char",1]
+ t="complex" => ['"float",2] --'"Complex" -- we use our own typedef
+ t="double complex" => ['"double",2] --'"DComplex" -- we use our own typedef
+ error ['"Unrecognised Fortran type: ",t]
+
+XDRFun t ==
+ LISTP(ty := SECOND t) =>
+ if first(ty)='"char" then '"wrapstring" else '"array"
+ ty
+
+printDec(type,dec,asps,fp) ==
+ wt(['" ",if LISTP(type) then first(type) else type,'" "],fp)
+ member(dec,asps) =>
+ if $addUnderscoreToFortranNames then
+ wl([dec,STRING(95),'"();"],fp)
+ else
+ wl([dec,'"();"],fp)
+ LISTP(type) =>
+ wl(['"*",dec,'" = NULL;"],fp)
+ wl(['" u__int ",dec, '"__length = 0;"],fp)
+ type = '"char" =>
+ wl(['"*",dec,'" = NULL;"],fp)
+ wl([dec, '";"],fp)
+
+writeXDR(v,str,fp) ==
+ -- Generate the calls to the filters which will read from the temp
+ -- file. The CHECK macro ensures that the translation worked.
+ underscore := STRING CHAR("__:",0) -- to avoid a compiler bug which won't
+ -- parse " ... __" properly.
+ wt(['" CHECK(xdr",underscore, XDRFun(v), '"(", str, '",&", first(v)],fp)
+ if (LISTP (ty :=SECOND v)) and not EQUAL(first ty,'"char") then
+ wt(['",&",first(v),'"__length,MAX__ARRAY(",first(v),'"__length),"],fp)
+ wt(['"sizeof(",first(ty),'"),xdr",underscore,first ty],fp)
+ wl(['"));"],fp)
+
+prefix2Infix(l) ==
+ atom(l) => [l]
+ #l=2 => [first l,"(",:prefix2Infix SECOND l,")"]
+ #l=3 => ["(",:prefix2Infix SECOND l,first l,:prefix2Infix THIRD l,")"]
+ error '"Function in array dimensions with more than two arguments"
+
+writeMalloc(name,type,dims,fp) ==
+ -- Write out a malloc for array arguments
+ -- Need the size as well
+ wl(['" ",name,'"__length=",prefix2Infix first dims,:[:["*",:prefix2Infix u]
+ for u in rest dims],'";"], fp)
+ type = '"char" =>
+ wl(['" ",name,'"=(",type," *)malloc((1+",name,
+ '"__length)*sizeof(",type,'"));"],fp)
+ wl(['" ",name,'"=(",type," *)malloc(",name,
+ '"__length*sizeof(",type,'"));"],fp)
+
+wl (l,fp) ==
+ for u in l repeat PRINC(u,fp)
+ TERPRI(fp)
+
+wt (l,fp) ==
+ for u in l repeat PRINC(u,fp)
+
+-- spadRecordType(v,decs) ==
+-- -- Build a lisp representation of the declaration of a spad record.
+-- -- This will be the returned type of the spad function which calls the
+-- -- Fortran code.
+-- ["Record",:[spadRecordType1(u,decs) for u in v]]
+--
+-- spadRecordType1(u,decls) ==
+-- -- Create a list of the form '( |:| u <spadTypeTTT u>)
+-- [":",u,spadTypeTTT getFortranType(u,decls)]
+
+spadTypeTTT u ==
+ -- Return the spad domain equivalent to the given Fortran type.
+ -- Changed by MCD 8/4/94 to reflect correct format for domains in
+ -- current system.
+ LISTP u =>
+ first(u)="character" => ["String"]
+ first(u)="logical" and #u=2 => ["List",["Boolean"]]
+ first(u)="logical" => ["List",["List",["Boolean"]]]
+ #u=2 => ["Matrix",spadTypeTTT first u]
+ #u=3 => ["Matrix",spadTypeTTT first u]
+ #u=4 => ["ThreeDimensionalMatrix",spadTypeTTT first u]
+ error '"Can only handle one-, two- and three-dimensional matrices"
+ u = "double" => ["DoubleFloat"]
+ u = "double precision" => ["DoubleFloat"]
+ u = "real" => ["DoubleFloat"]
+ u = "integer" => ["Integer"]
+ u = "logical" => ["Boolean"]
+ u = "character" => ["String"]
+ u = "complex" => ["Complex",["DoubleFloat"]]
+ u = "double complex" => ["Complex",["DoubleFloat"]]
+ error ['"Unrecognised Fortran type: ",u]
+
+mkQuote l ==
+ [addQuote(u)for u in l] where
+ addQuote u ==
+ atom u => ['QUOTE,u]
+ ["construct",:[addQuote(v) for v in u]]
+
+makeLispList(l) ==
+ outputList := []
+ for u in l repeat
+ outputList := [:outputList, _
+ if atom(u) then ['QUOTE,u] else [["$elt","Lisp","construct"],_
+ :makeLispList(u)]]
+ outputList
+
+makeSpadFun(name,userArgs,args,dummies,decls,results,returnType,asps,aspInfo,
+ file) ==
+ -- Create an interpreter function for the user to call.
+
+ fType := ["List", ["Record" , [":","key","Symbol"], [":","entry","Any"]]]
+
+ -- To make sure the spad interpreter isn't confused:
+ if returnType then
+ returnName := INTERN STRCONC(name,"Result")
+ decls := [[returnType,returnName], :decls]
+ results := [returnName, :results]
+ argNames := [INTERN STRCONC(STRINGIMAGE(u),'"__arg") for u in userArgs]
+ aType := [axiomType(a,decls,asps,aspInfo) for a in userArgs]
+ aspTypes := [SECOND NTH(POSITION(u,userArgs),aType) for u in asps]
+ nilLst := MAKE_-LIST(#args+1)
+ decPar := [["$elt","Lisp","construct"],:makeLispList decls]
+ fargNames := [INTERN STRCONC(STRINGIMAGE(u),'"__arg") for u in args |
+ not (MEMQ(u,dummies) or MEMQ(u,asps)) ]
+ for u in asps repeat
+ fargNames := delete(INTERN STRCONC(STRINGIMAGE(u),'"__arg"),fargNames)
+ resPar := ["construct",["@",["construct",:fargNames],_
+ ["List",["Any"]]]]
+ call := [["$elt","Lisp","invokeFortran"],STRCONC(file,".spadexe"),_
+ [["$elt","Lisp","construct"],:mkQuote args],_
+ [["$elt","Lisp","construct"],:mkQuote union(asps,dummies)], decPar,_
+ [["$elt","Lisp","construct"],:mkQuote results],resPar]
+ if asps then
+ -- Make a unique(ish) id for asp files
+ aspId := STRCONC(getEnv('"SPADNUM"), GENTEMP('"NAG"))
+ body := ["SEQ",:makeAspGenerators(asps,aspTypes,aspId),_
+ makeCompilation(asps,file,aspId),_
+ ["pretend",call,fType] ]
+ else
+ body := ["pretend",call,fType]
+ interpret ["DEF",[name,:argNames],["Result",:aType],nilLst,_
+ [["$elt","Result","construct"],body]]
+
+stripNil u ==
+ [CAR(u), ["construct",:CADR(u)], if CADDR(u) then "true" else "false"]
+
+makeUnion aspType ==
+ -- The argument is the type of the asp to be generated. We would like to
+ -- allow the user to be able to provide a fileName as an alternative
+ -- argument, so this builds the Union of aspType and FileName.
+ ["Union",[":","fp",aspType],[":","fn","FileName"]]
+
+axiomType(a,decls,asps,aspInfo) ==
+ a in asps =>
+ entry := first [u for u in aspInfo | first(u) = a]
+ ftc := ["$elt","FortranType","construct"]
+ rc := ["$elt", _
+ ["Record",[":","key","Symbol"],[":","entry","FortranType"]], _
+ "construct"]
+ makeUnion ["FortranProgram",_
+ a,_
+ CADR(entry),_
+ ["construct",:mkQuote CADDR entry], _
+ [ ["$elt", "SymbolTable","symbolTable"],_
+ ["construct",_
+ :[[rc,first(v),[ftc,:stripNil rest(v)]] for v in CADDDR entry]]_
+ ] ]
+ spadTypeTTT(getFortranType(a,decls))
+
+makeAspGenerators(asps,types,aspId) ==
+-- The code generated here will manipulate the Fortran output stack and write
+-- the asps out as Fortran.
+ [:makeAspGenerators1(u,v,aspId) for u in asps for v in types]
+
+makeAspGenerators1(asp,type,aspId) ==
+ [[["$elt","FOP","pushFortranOutputStack"] ,_
+ ["filename",'"",STRCONC(STRINGIMAGE asp,aspId),'"f"]] , _
+ makeOutputAsFortran INTERN STRCONC(STRINGIMAGE(asp),'"__arg"), _
+ [["$elt","FOP","popFortranOutputStack"]] _
+ ]
+
+makeOutputAsFortran arg ==
+ ["IF",["case",arg,"fn"],["outputAsFortran",[arg,"fn"]],_
+ ["outputAsFortran",[arg,"fp"]] ]
+
+makeCompilation(asps,file,aspId) ==
+ [["$elt","Lisp","compileAndLink"],_
+ ["construct",:[STRCONC(STRINGIMAGE a,aspId,'".f") for a in asps]], _
+ $fortranCompilerName,_
+ STRCONC(file,'".o"),_
+ STRCONC(file,'".spadexe"),_
+ $fortranLibraries]
+
+
+compileAndLink(fortFileList,fortCompiler,cFile,outFile,linkerArgs) ==
+ SYSTEM STRCONC (fortCompiler, addSpaces fortFileList,_
+ cFile, " -o ",outFile," ",linkerArgs)
+
+addSpaces(stringList) ==
+ l := " "
+ for s in stringList repeat l := STRCONC(l,s," ")
+ l
+
+complexRows z ==
+-- Take a list of lists of complexes (i.e. pairs of floats) and
+-- make them look like a Fortran vector!
+ [:[:pair2list(u.i) for u in z] for i in 0..#(z.0)-1]
+
+pair2list u == [car u,cdr u]
+vec2Lists1 u == [ELT(u,i) for i in 0..#u-1]
+vec2Lists u == [vec2Lists1 ELT(u,i) for i in 0..#u-1]
+
+spad2lisp(u) ==
+ -- Turn complexes into arrays of floats
+ first first(u)="Complex" =>
+ makeVector([makeVector([CADR u,CDDR u],'DOUBLE_-FLOAT)],NIL)
+ -- Turn arrays of complexes into arrays of floats so that tarnsposing
+ -- them puts them in the correct fortran order
+ first first(u)="Matrix" and first SECOND first(u) = "Complex" =>
+ makeVector([makeVector(complexRows vec2Lists rest u,'DOUBLE_-FLOAT)],NIL)
+ rest(u)
+
+invokeFortran(objFile,args,dummies,decls,results,actual) ==
+ actual := [spad2lisp(u) for u in first actual]
+ returnedValues := spadify( _
+ fortCall(objFile,prepareData(args,dummies,actual,decls),_
+ prepareResults(results,args,dummies,actual,decls)),_
+ results,decls,inFirstNotSecond(args,dummies),actual)
+
+-- -- If there are one or two elements in returnedValues we must return a
+-- -- cons cell, otherwise a vector. This is to match the internal
+-- -- representation of an Axiom Record.
+-- #returnedValues = 1 => returnedValues
+-- #returnedValues = 2 => CONS(first returnedValues,SECOND returnedValues)
+-- makeVector(returnedValues,nil)
+
+int2Bool u ==
+ -- Return something which looks like an axiom boolean
+ u=1 => "TRUE"
+ NIL
+
+makeResultRecord(name,type,value) ==
+ -- Take an object returned by the NAG routine and make it into an AXIOM
+ -- object of type Record(key:Symbol,entry:Any) for use by Result.
+ CONS(name,CONS(spadTypeTTT type,value))
+
+spadify(l,results,decls,names,actual) ==
+ -- The elements of list l are the output forms returned from the Fortran
+ -- code: integers, floats and vectors. Return spad forms of these, of
+ -- type Record(key:Symbol,entry:Any) (for use with the Result domain).
+ SETQ(RESULTS,l)
+ spadForms := nil
+ for i in 0..(#l -1) repeat
+ fort := NTH(i,l)
+ name := NTH(i,results)
+ ty := getFortranType(name,decls)
+ -- Result is a string
+ STRINGP fort =>
+ spadForms := [makeResultRecord(name,ty,fort), :spadForms]
+ -- Result is a Complex Scalar
+ ty in ["double complex" , "complex"] =>
+ spadForms := [makeResultRecord(name,ty, _
+ CONS(ELT(fort,0),ELT(fort,1)) ),:spadForms]
+ -- Result is a Complex vector or array
+ LISTP(ty) and first(ty) in ["double complex" , "complex"] =>
+ dims := [getVal(u,names,actual) for u in rest ty]
+ els := nil
+ if #dims=1 then
+ els := [makeVector([CONS(ELT(fort,2*i),ELT(fort,2*i+1)) _
+ for i in 0..(first(dims)-1)],nil)]
+ else if #dims=2 then
+ for r in 0..(first(dims) - 1) repeat
+ innerEls := nil
+ for c in 0..(SECOND(dims) - 1) repeat
+ offset := 2*(c*first(dims)+r)
+ innerEls := [CONS(ELT(fort,offset),ELT(fort,offset+1)),:innerEls]
+ els := [makeVector(NREVERSE innerEls,nil),:els]
+ else
+ error ['"Can't cope with complex output dimensions higher than 2"]
+ spadForms := [makeResultRecord(name,ty,makeVector(NREVERSE els,nil)),
+ :spadForms]
+ -- Result is a Boolean vector or array
+ LISTP(ty) and first(ty)="logical" and #ty=2 =>
+ dim := getVal(first rest ty,names,actual)
+ spadForms := [makeResultRecord(name,ty,_
+ [int2Bool ELT(fort,i) for i in 0..dim-1]), :spadForms]
+ LISTP(ty) and first(ty)="logical" =>
+ dims := [getVal(u,names,actual) for u in rest ty]
+ els := nil
+ if #dims=2 then
+ for r in 0..(first(dims) - 1) repeat
+ innerEls := nil
+ for c in 0..(SECOND(dims) - 1) repeat
+ innerEls := [int2Bool ELT(fort,c*first(dims)+r),:innerEls]
+ els := [NREVERSE innerEls,:els]
+ else
+ error ['"Can't cope with logical output dimensions higher than 2"]
+ spadForms := [makeResultRecord(name,ty,NREVERSE els), :spadForms]
+ -- Result is a vector or array
+ VECTORP fort =>
+ dims := [getVal(u,names,actual) for u in rest ty]
+ els := nil
+ -- Check to see whether we are dealing with a dummy (0-dimensional) array.
+ if MEMQ(0,dims) then
+ els := [[]]
+ else if #dims=1 then
+ els := [makeVector([ELT(fort,i) for i in 0..(first(dims)-1)],nil)]
+ else if #dims=2 then
+ for r in 0..(first(dims) - 1) repeat
+ innerEls := nil
+ for c in 0..(SECOND(dims) - 1) repeat
+ innerEls := [ELT(fort,c*first(dims)+r),:innerEls]
+ els := [makeVector(NREVERSE innerEls,nil),:els]
+ else if #dims=3 then
+ iDim := first(dims)
+ jDim := SECOND dims
+ kDim := THIRD dims
+ for r in 0..(iDim - 1) repeat
+ middleEls := nil
+ for c in 0..(jDim - 1) repeat
+ innerEls := nil
+ for p in 0..(kDim - 1) repeat
+ offset := p*jDim + c*kDim + r
+ innerEls := [ELT(fort,offset),:innerEls]
+ middleEls := [makeVector(NREVERSE innerEls,nil),:middleEls]
+ els := [makeVector(NREVERSE middleEls,nil),:els]
+ else
+ error ['"Can't cope with output dimensions higher than 3"]
+ if not MEMQ(0,dims) then els := makeVector(NREVERSE els,nil)
+ spadForms := [makeResultRecord(name,ty,els), :spadForms]
+ -- Result is a Boolean Scalar
+ atom fort and ty="logical" =>
+ spadForms := [makeResultRecord(name,ty,int2Bool fort), :spadForms]
+ -- Result is a Scalar
+ atom fort =>
+ spadForms := [makeResultRecord(name,ty,fort),:spadForms]
+ error ['"Unrecognised output format: ",fort]
+ NREVERSE spadForms
+
+lispType u ==
+ -- Return the lisp type equivalent to the given Fortran type.
+ LISTP u => lispType first u
+ u = "real" => "SHORT-FLOAT"
+ u = "double" => "DOUBLE-FLOAT"
+ u = "double precision" => "DOUBLE-FLOAT"
+ u = "integer" => "FIXNUM"
+ u = "logical" => "BOOLEAN"
+ u = "character" => "CHARACTER"
+ u = "complex" => "SHORT-FLOAT"
+ u = "double complex" => "DOUBLE-FLOAT"
+ error ['"Unrecognised Fortran type: ",u]
+
+getVal(u,names,values) ==
+ -- if u is the i'th element of names, return the i'th element of values,
+ -- otherwise if it is an arithmetic expression evaluate it.
+ NUMBERP(u) => u
+ LISTP(u) => eval [first(u), :[getVal(v,names,values) for v in rest u]]
+ (place := POSITION(u,names)) => NTH(place,values)
+ error ['"No value found for parameter: ",u]
+
+
+prepareData(args,dummies,values,decls) ==
+-- TTT: we don't
+-- writeData handles all the mess
+ [args,dummies,values,decls]
+
+
+checkForBoolean u ==
+ u = "BOOLEAN" => "FIXNUM"
+ u
+
+prepareResults(results,args,dummies,values,decls) ==
+ -- Create the floating point zeros (boot doesn't like 0.0d0, 0.0D0 etc)
+ shortZero : fluid := COERCE(0.0,'SHORT_-FLOAT)
+ longZero : fluid := COERCE(0.0,'DOUBLE_-FLOAT)
+ data := nil
+ for u in results repeat
+ type := getFortranType(u,decls)
+ data := [defaultValue(type,inFirstNotSecond(args,dummies),values),:data]
+ where defaultValue(type,argNames,actual) ==
+ LISTP(type) and first(type)="character" => MAKE_-STRING(1)
+ LISTP(type) and first(type) in ["complex","double complex"] =>
+ makeVector( makeList(
+ 2*APPLY('_*,[getVal(tt,argNames,actual) for tt in rest(type)]),_
+ if first(type)="complex" then shortZero else longZero),_
+ if first(type)="complex" then "SHORT-FLOAT" else "DOUBLE-FLOAT" )
+ LISTP type => makeVector(_
+ makeList(
+ APPLY('_*,[getVal(tt,argNames,actual) for tt in rest(type)]),_
+ defaultValue(first type,argNames,actual)),_
+ checkForBoolean lispType first(type) )
+ type = "integer" => 0
+ type = "real" => shortZero
+ type = "double" => longZero
+ type = "double precision" => longZero
+ type = "logical" => 0
+ type = "character" => MAKE_-STRING(1)
+ type = "complex" => makeVector([shortZero,shortZero],'SHORT_-FLOAT)
+ type = "double complex" => makeVector([longZero,longZero],'LONG_-FLOAT)
+ error ['"Unrecognised Fortran type: ",type]
+ NREVERSE data
+
+-- TTT this is dead code now
+-- transposeVector(u,type) ==
+-- -- Take a vector of vectors and return a single vector which is in column
+-- -- order (i.e. swap from C to Fortran order).
+-- els := nil
+-- rows := CAR ARRAY_-DIMENSIONS(u)-1
+-- cols := CAR ARRAY_-DIMENSIONS(ELT(u,0))-1
+-- -- Could be a 3D Matrix
+-- if VECTORP ELT(ELT(u,0),0) then
+-- planes := CAR ARRAY_-DIMENSIONS(ELT(ELT(u,0),0))-1
+-- for k in 0..planes repeat for j in 0..cols repeat for i in 0..rows repeat
+-- els := [ELT(ELT(ELT(u,i),j),k),:els]
+-- else
+-- for j in 0..cols repeat for i in 0..rows repeat
+-- els := [ELT(ELT(u,i),j),:els]
+-- makeVector(NREVERSE els,type)
+
+
+writeData(tmpFile,indata) ==
+ -- Write the elements of the list data to a temporary file. Return the
+ -- name of that file.
+ --
+ str := MAKE_-OUTSTREAM(tmpFile)
+ xstr := xdrOpen(str,true)
+ [args,dummies,values,decls] := indata
+ for v in values repeat
+ -- the two Boolean values
+ v = "T" =>
+ xdrWrite(xstr,1)
+ NULL v =>
+ xdrWrite(xstr,0)
+ -- characters
+ STRINGP v =>
+ xdrWrite(xstr,v)
+ -- some array
+ VECTORP v =>
+ rows := CAR ARRAY_-DIMENSIONS(v)
+ -- is it 2d or more (most likely) ?
+ VECTORP ELT(v,0) =>
+ cols := CAR ARRAY_-DIMENSIONS(ELT(v,0))
+ -- is it 3d ?
+ VECTORP ELT(ELT(v,0),0) =>
+ planes := CAR ARRAY_-DIMENSIONS(ELT(ELT(v,0),0))
+ -- write 3d array
+ xdrWrite(xstr,rows*cols*planes)
+ for k in 0..planes-1 repeat
+ for j in 0..cols-1 repeat
+ for i in 0..rows-1 repeat
+ xdrWrite(xstr,ELT(ELT(ELT(v,i),j),k))
+ -- write 2d array
+ xdrWrite(xstr,rows*cols)
+ for j in 0..cols-1 repeat
+ for i in 0..rows-1 repeat xdrWrite(xstr,ELT(ELT(v,i),j))
+ -- write 1d array
+ xdrWrite(xstr,rows)
+ for i in 0..rows-1 repeat xdrWrite(xstr,ELT(v,i))
+ -- this is used for lists of booleans apparently in f01
+ LISTP v =>
+ xdrWrite(xstr,LENGTH v)
+ for el in v repeat
+ if el then xdrWrite(xstr,1) else xdrWrite(xstr,0)
+ -- integers
+ INTEGERP v =>
+ xdrWrite(xstr,v)
+ -- floats
+ FLOATP v =>
+ xdrWrite(xstr,v)
+ SHUT(str)
+ tmpFile
+
+readData(tmpFile,results) ==
+ -- read in the results from tmpFile. The list results is a list of
+ -- dummy objects of the correct type which will receive the data.
+ str := MAKE_-INSTREAM(tmpFile)
+ xstr := xdrOpen(str,false)
+ results := [xdrRead1(xstr,r) for r in results] where
+ xdrRead1(x,dummy) ==
+ VECTORP(dummy) and ZEROP(LENGTH dummy) => dummy
+ xdrRead(x,dummy)
+ SHUT(str)
+ results
+
+generateDataName()==STRCONC($fortranTmpDir,getEnv('"HOST"),
+ getEnv('"SPADNUM"), GENTEMP('"NAG"),'"data")
+generateResultsName()==STRCONC($fortranTmpDir,getEnv('"HOST"),
+ getEnv('"SPADNUM"), GENTEMP('"NAG"),'"results")
+
+
+fortCall(objFile,data,results) ==
+ tmpFile1 := writeData(generateDataName(),data)
+ tmpFile2 := generateResultsName()
+ SYSTEM STRCONC(objFile," < ",tmpFile1," > ",tmpFile2)
+ results := readData(tmpFile2,results)
+ -- SYSTEM STRCONC("rm -f ",tmpFile1," ",tmpFile2)
+ PROBE_-FILE(tmpFile1) and DELETE_-FILE(tmpFile1)
+ PROBE_-FILE(tmpFile2) and DELETE_-FILE(tmpFile2)
+ results
+
+invokeNagman(objFiles,nfile,args,dummies,decls,results,actual) ==
+ actual := [spad2lisp(u) for u in first actual]
+ result := spadify(protectedNagCall(objFiles,nfile, _
+ prepareData(args,dummies,actual,decls),_
+ prepareResults(results,args,dummies,actual,decls)),_
+ results,decls,inFirstNotSecond(args,dummies),actual)
+ -- Tidy up asps
+ -- if objFiles then SYSTEM STRCONC("rm -f ",addSpaces objFiles)
+ for fn in objFiles repeat PROBE_-FILE(fn) and DELETE_-FILE(fn)
+ result
+
+
+nagCall(objFiles,nfile,data,results,tmpFiled,tmpFiler) ==
+ nagMessagesString :=
+ $nagMessages => '"on"
+ '"off"
+ writeData(tmpFiled,data)
+ toSend:=STRCONC($nagHost," ",nfile," ",tmpFiler," ",tmpFiled," ",_
+ STRINGIMAGE($fortPersistence)," ", nagMessagesString," ",addSpaces objFiles)
+ sockSendString(8,toSend)
+ if sockGetInt(8)=1 then
+ results := readData(tmpFiler,results)
+ else
+ error ['"An error was detected while reading data: ", _
+ '"perhaps an incorrect array index was given ?"]
+ results
+
+protectedNagCall(objFiles,nfile,data,results) ==
+ errors :=true
+ val:=NIL
+ td:=generateDataName()
+ tr:=generateResultsName()
+ UNWIND_-PROTECT( (val:=nagCall(objFiles,nfile,data,results,td,tr) ;errors :=NIL),
+ errors =>( resetStackLimits(); sendNagmanErrorSignal();cleanUpAfterNagman(td,tr,objFiles)))
+ val
+
+
+cleanUpAfterNagman(f1,f2,listf)==
+ PROBE_-FILE(f1) and DELETE_-FILE(f1)
+ PROBE_-FILE(f2) and DELETE_-FILE(f2)
+ for fn in listf repeat PROBE_-FILE(fn) and DELETE_-FILE(fn)
+
+sendNagmanErrorSignal()==
+-- excite nagman's signal handler!
+ sockSendSignal(8,15)
+
+
+-- Globals
+-- $fortranDirectory := nil
+-- $fortranLibraries := '"-L/usr/local/lib/f90 -lf90 -L/usr/local/lib -lnag -lm"
+-- $fortranTmpDir := '"/tmp/"
+-- $addUnderscoreToFortranNames := true
+-- $fortranCompilerName := '"f90"
+
+inFirstNotSecond(f,s)==
+ [i for i in f | not i in s]
+
+-- Code for use in the Windows version of the AXIOM/NAG interface.
+
+multiToUnivariate f ==
+ -- Take an AnonymousFunction, replace the bound variables by references to
+ -- elements of a vector, and compile it.
+ (first f) ^= "+->" => error "in multiToUnivariate: not an AnonymousFunction"
+ if PAIRP CADR f then
+ vars := CDADR f -- throw away 'Tuple at start of variable list
+ else
+ vars := [CADR f]
+ body := COPY_-TREE CADDR f
+ newVariable := GENSYM()
+ for index in 0..#vars-1 repeat
+ -- Remember that AXIOM lists, vectors etc are indexed from 1
+ body := NSUBST(["elt",newVariable,index+1],vars.(index),body)
+ -- We want a Vector DoubleFloat -> DoubleFloat
+ target := [["DoubleFloat"],["Vector",["DoubleFloat"]]]
+ rest interpret ["ADEF",[newVariable],target,[[],[]],body]
+
+functionAndJacobian f ==
+ -- Take a mapping into n functions of n variables, produce code which will
+ -- evaluate function and jacobian values.
+ (first f) ^= "+->" => error "in functionAndJacobian: not an AnonymousFunction"
+ if PAIRP CADR f then
+ vars := CDADR f -- throw away 'Tuple at start of variable list
+ else
+ vars := [CADR f]
+ #(vars) ^= #(CDADDR f) =>
+ error "number of variables should equal number of functions"
+ funBodies := COPY_-TREE CDADDR f
+ jacBodies := [:[DF(f,v) for v in vars] for f in funBodies] where
+ DF(fn,var) ==
+ ["@",["convert",["differentiate",fn,var]],"InputForm"]
+ jacBodies := CDDR interpret [["$elt",["List",["InputForm"]],"construct"],:jacBodies]
+ newVariable := GENSYM()
+ for index in 0..#vars-1 repeat
+ -- Remember that AXIOM lists, vectors etc are indexed from 1
+ funBodies := NSUBST(["elt",newVariable,index+1],vars.(index),funBodies)
+ jacBodies := NSUBST(["elt",newVariable,index+1],vars.(index),jacBodies)
+ target := [["Vector",["DoubleFloat"]],["Vector",["DoubleFloat"]],["Integer"]]
+ rest interpret
+ ["ADEF",[newVariable,"flag"],target,[[],[],[]],_
+ ["IF", ["=","flag",1],_
+ ["vector",["construct",:funBodies]],_
+ ["vector",["construct",:jacBodies]]]]
+
+
+vectorOfFunctions f ==
+ -- Take a mapping into n functions of m variables, produce code which will
+ -- evaluate function values.
+ (first f) ^= "+->" => error "in vectorOfFunctions: not an AnonymousFunction"
+ if PAIRP CADR f then
+ vars := CDADR f -- throw away 'Tuple at start of variable list
+ else
+ vars := [CADR f]
+ funBodies := COPY_-TREE CDADDR f
+ newVariable := GENSYM()
+ for index in 0..#vars-1 repeat
+ -- Remember that AXIOM lists, vectors etc are indexed from 1
+ funBodies := NSUBST(["elt",newVariable,index+1],vars.(index),funBodies)
+ target := [["Vector",["DoubleFloat"]],["Vector",["DoubleFloat"]]]
+ rest interpret ["ADEF",[newVariable],target,[[],[]],["vector",["construct",:funBodies]]]
+
+
+
+
+
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}