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/* -*-Macsyma-*- */
eval_when(batch,ttyoff:true)$
/*ASB;STOPEX 15
2:48pm Wednesday, 4 November 1981
7:55pm Saturday, 29 May 1982
Added a DIAGEVAL_VERSION for this file.
1:48pm Saturday, 12 June 1982
Changed loadflags to getversions, DEFINE_VARIABLE:'MODE.
*/
eval_when(translate,
transcompile:true,
define_variable:'mode,
modedeclare(function(freeofl),boolean))$
put('stopex,15,'diageval_version)$
/*
EVAL_WHEN([BATCH,LOADFILE],
IF GET('GNAUTO,'DIAGEVAL_VERSION)=FALSE
THEN LOAD('[GNAUTO,FASL,DSK,DGVAL]))$
*/
/* GNU Maxima */
/* Commented out all local SPECIAL declarations. For other changes,
search for `Maxima:' below. -wj */
eval_when([batch,loadfile],
if get('gnauto,'diageval_version)=false
then load("genut"))$
eval_when(translate,
declare_translated(exwrt_power1,varmult,distribute,exwrt_power,
freeofl,stopexpandl1,orpartitionl,ldelete,
stopexpandl))$
/* Switches */
define_variable(iforp,false,boolean)$
define_variable(expandwrt_denom,false,boolean)$
define_variable(expandwrt_nonrat,true,boolean)$
stopexpand(exp,[varlist]):=
if atom(exp) or mapatom(exp)
then exp
else block([partswitch:true,inflag:true,piece],
stopexpandl(exp,varlist))$
expandwrt(exp,[varlist]):=
if atom(exp) or mapatom(exp)
then exp
else block([partswitch:true,inflag:true,piece],
stopexpandl(exp,varlist))$
expandwrtl(exp,varlist):=stopexpandl(exp,varlist)$
stopexpandl(exp,varlist):=
if atom(exp) or mapatom(exp)
then exp
else block([inflag:true,partswitch:true,piece,ip0dum],
if (ip0dum:inpart(exp,0))="+"
then map(lambda([termdum],stopexpandl(termdum,varlist)),exp)
else block(
[nonratdum,iforp:true,dendum],
if expandwrt_nonrat
then (nonratdum:
ldelete(varlist,last(orpartitionl(showratvars(exp),"[",varlist))),
for idum in nonratdum do
if not atom(idum)
then exp:subst(map(lambda([dum],stopexpandl(dum,varlist)),idum),
idum,exp)),
if expandwrt_denom and (dendum:denom(exp))#1
then exp:num(exp)/stopexpandl(dendum,varlist),
stopexpandl1(exp,varlist)))$
stopexpandl1(exp,varlist):=
if atom(exp) or mapatom(exp)
then exp
else block([ip0dum:inpart(exp,0),dum:1,varfound:false],
modedeclare(varfound,boolean),
if freeofl(varlist,exp)
then exp
else if freeof("+",exp) then return(exp),
if ip0dum="+"
then return(map(lambda([termdum],
stopexpandl1(termdum,varlist)),exp))
else if ip0dum="^"
then if inpart(exp,1,0)="+"
then exwrt_power(exp,varlist)
else exp
else if ip0dum="*"
then (for idum in exp do
if not freeofl(varlist,idum)
then (idum:stopexpandl1(idum,varlist),
if varfound
then dum:distribute(dum,idum,varlist)
else (varfound:true,
dum:varmult(dum,idum,varlist)))
else if varfound
then dum:varmult(idum,dum,varlist)
else dum:dum*idum,
dum)
else if matrixp(exp) or listp(exp)
then matrixmap(lambda([dumm],
stopexpandl1(dumm,varlist)),
exp)
else if ip0dum="." and expandwrt_nonrat
then remove_nested_dots0l(map(lambda([dum],
stopexpandl1(dum,
varlist)),
exp),
varlist)
else exp)$
exwrt_power(exp,varlist):=block(
[ip1dum,ip2dum1,exwrtlist,splitdum,fsplitdum],
/* DECLARE(EXWRTLIST,SPECIAL), */
if inpart(exp,0)#"^" then return(exp),
if not freeofl(varlist,ip1dum:inpart(exp,1))
and integerp(ip2dum1:inpart(exp,2))
and (mode_identity(fixnum,ip2dum1))>1
and inpart(ip1dum,0)="+"
then (splitdum:orpartitionl(ip1dum,"+",varlist),
if (fsplitdum:first(splitdum))#0
then (exwrtlist:cons(1,exwrt_power1(last(splitdum),ip2dum1,varlist)),
sum(varmult(fsplitdum^kdum*ip2dum1!/(kdum!*(ip2dum1-kdum)!),
first(exwrtlist:rest(exwrtlist)),
varlist),
/* Maxima: added MODE_IDENTITY for translator */
kdum,0,mode_identity(fixnum,ip2dum1)))
else first(exwrt_power1(last(splitdum),ip2dum1,varlist)))
else exp)$
exwrt_power1(exp,powerdum,varlist):=(
modedeclare(powerdum,fixnum),
block(
[dum:[exp,1],firstdum:stopexpandl1(exp,varlist)],
if powerdum=1 then return(dum),
if inpart(exp,0)#"+"
then for idum:2 thru powerdum do
dum:cons(exp^idum,dum)
else for idum:2 thru powerdum do
dum:cons(firstdum:
map(lambda([dum],multthru(dum,firstdum)),exp),dum),
dum))$
varmult(fact,exp,varlist):=block(
[splitdum:orpartitionl(exp,"+",varlist)],
fact*first(splitdum)+multthru(fact,last(splitdum)))$
distribute(exp1,exp2,varlist):=block(
[splitexp1:orpartitionl(exp1,"+",varlist),
splitexp2:orpartitionl(exp2,"+",varlist),
fsplexp1,fsplexp2,lsplexp1,lsplexp2],
lsplexp1:last(splitexp1),
lsplexp2:last(splitexp2),
(fsplexp1:first(splitexp1))*(fsplexp2:first(splitexp2))
+(if fsplexp1#0
then varmult(fsplexp1,stopexpandl1(lsplexp2,varlist),varlist)
else 0)
+(if fsplexp2#0
then varmult(fsplexp2,stopexpandl1(lsplexp1,varlist),varlist)
else 0)
+(if inpart(lsplexp1,0)="+"
then map(lambda([term],stopexpandl1(term*lsplexp2,varlist)),lsplexp1)
else if inpart(lsplexp2,0)="+"
then map(lambda([term],stopexpandl1(term*lsplexp1,varlist)),lsplexp2)
else lsplexp1*lsplexp2))$
expandwrt_factored(exp,[varlist]):=
if listp(exp) or matrixp(exp)
then matrixmap(lambda([dum],apply('expandwrt_factored,cons(dum,varlist))),
exp)
else block([iforp:true,piece,partswitch:true,inflag:true,dum],
dum:orpartitionl(exp,"*",varlist),
first(dum)*stopexpandl(last(dum),varlist))$
eval_when(batch,ttyoff:false)$
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