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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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