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|
subroutine polops
c ====================================================================
c
c operations sur les matrices de polynomes
c
c ====================================================================
c
c Copyright INRIA
include '../stack.h'
c
integer plus,minus,star,dstar,slash,bslash,dot,colon
integer quote,equal,less,great,insert,extrac
c
double precision sr,si,e1,e2,st
integer vol,var1(4),var2(4),var3(4),var4(4),volr,rhs1,top0,op
integer topin
logical chkvar
integer sadr,iadr
c
data plus/45/,minus/46/,star/47/,dstar/62/,slash/48/
data bslash/49/,dot/51/,colon/44/,quote/53/
data equal/50/,less/59/,great/60/,insert/2/,extrac/3/
c
iadr(l)=l+l-1
sadr(l)=(l/2)+1
c
op=fin
if (ddt .eq. 4) then
write(buf(1:4),'(i4)') fin
call basout(io,wte,' polops '//buf(1:4))
endif
c
fun=0
lw=lstk(top+1)
topin=top
if(op.eq.dstar) goto 80
if(op.eq.dstar+dot) goto 70
if(op.eq.colon) goto 200
if(op.eq.extrac) goto 130
if(op.eq.insert) goto 120
c
top0=top+1-rhs
rhs1=rhs
c
var2(1)=0
it2=0
if(rhs.eq.1) goto 05
il2=iadr(lstk(top))
if(istk(il2).lt.0) il2=iadr(istk(il2+1))
if(istk(il2).gt.2) goto 03
m2=istk(il2+1)
n2=istk(il2+2)
it2=istk(il2+3)
mn2=m2*n2
if(istk(il2).ne.1) then
id2=il2+8
call icopy(4,istk(il2+4),1,var2,1)
l2r=sadr(id2+mn2+1)
vol=istk(id2+mn2)-1
l2i=l2r+vol
l3r=lw
goto 03
else
l2r=sadr(il2+4)
l2i=l2r+mn2
id2=iadr(lw)
l3r=sadr(id2+mn2+1)
err=l3r-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call ivimp(1,mn2+1,1,istk(id2))
l3r=l3r+1
endif
03 continue
top = top-1
05 il1=iadr(lstk(top))
if(istk(il1).lt.0) il1=iadr(istk(il1+1))
if(istk(il1).gt.2) goto 10
m1=istk(il1+1)
n1=istk(il1+2)
it1=istk(il1+3)
mn1 = m1*n1
if(istk(il1).ne.1) then
id1=il1+8
call icopy(4,istk(il1+4),1,var1,1)
c
if(var2(1).eq.0) call icopy(4,var1,1,var2,1)
if(op.ne.equal.and.op.ne.less+great) then
if(.not.chkvar(var1,var2)) then
fin=-fin
top=top+1
return
endif
endif
c
l1r=sadr(id1+mn1+1)
vol=istk(id1+mn1)-1
l1i=l1r+vol
else
l1r=sadr(il1+4)
l1i=l1r+mn1
call icopy(4,var2,1,var1,1)
id1=iadr(l3r)
l3r=sadr(id1+mn1+1)
err=l3r-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call ivimp(1,mn1+1,1,istk(id1))
l3r=l3r+1
lw=l3r
endif
c
10 it3=max(it1,it2)
c
goto (60,120,130,65) op
if (op .eq. quote.or.op .eq. quote+dot) goto 110
if (rhs .eq. 1 .and. op .eq. minus) goto 101
if (op .eq. plus .or. op .eq. minus) go to 20
if (op .eq. star.or. op.eq.star+dot) go to 40
if(op.eq.slash.or.op.eq.slash+dot) goto 150
if(op.eq.bslash.or.op.eq.bslash+dot) goto 155
if(op.eq.equal.or.op.eq.less+great) goto 160
c
c operations non implantees
top=top0-1+rhs
fin=-fin
return
c
c addition et soustraction
c
20 continue
vol=istk(id2+mn2)-1
if(op.eq.minus.and.vol.gt.0) call dscal(vol*(it2+1),-1.0d+0
$ ,stk(l2r),1)
if(m1.eq.1.and.n1.eq.1.and.mn2.gt.1) then
c . p+P , p-P
c . p*ones(P) is generated
n=istk(id1+1)-istk(id1)
istk(il1+1)=m2
istk(il1+2)=n2
m1=m2
n1=n2
mn1=m1*n1
l=l1r
c
id1=iadr(l3r)
l1r=sadr(id1+mn2+1)
vol=mn1*n
l1i=l1r+vol
l3r=l1i+vol*it1
err=l3r-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
l1=l1r
istk(id1)=1
do 21 i=1,mn1
istk(id1+i)=istk(id1-1+i)+n
call unsfdcopy(n,stk(l),1,stk(l1),1)
if(it1.eq.1) call unsfdcopy(n,stk(l+n),1,stk(l1+vol),1)
l1=l1+n
21 continue
elseif(m2.eq.1.and.n2.eq.1.and.mn1.gt.1) then
c . P+p, P-p
c . p*ones(P) is generated
n=istk(id2+1)-istk(id2)
m2=abs(m1)
n2=abs(n1)
mn2=m2*n2
l=l2r
c
id2=iadr(l3r)
l2r=sadr(id2+mn1+1)
vol=mn2*n
l2i=l2r+vol
l3r=l2i+vol*it2
err=l3r-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
l2=l2r
istk(id2)=1
do 22 i=1,mn2
istk(id2+i)=istk(id2-1+i)+n
call unsfdcopy(n,stk(l),1,stk(l2),1)
if(it2.eq.1) call unsfdcopy(n,stk(l+n),1,stk(l2+vol),1)
l2=l2+n
22 continue
elseif(mn1.eq.0) then
c . []+P, []-P
call icopy(9+mn2,istk(il2),1,istk(il1),1)
l1=sadr(il1+9+mn2)
vol=(istk(id2+mn2)-1)*(it2+1)
call unsfdcopy(vol,stk(l2r),1,stk(l1),1)
lstk(top+1)=l1+vol
goto 999
elseif(mn2.eq.0) then
c . P+[] , P-[]
goto 999
elseif(m1.lt.0) then
c eye*p+A
c . p*eye(A) is generated
n=istk(id1+1)-istk(id1)
istk(il1+1)=m2
istk(il1+2)=n2
m1=abs(m2)
n1=abs(n2)
mn1=m1*n1
l=l1r
id1=iadr(l3r)
l1r=sadr(id1+mn2+1)
vol=min(n1,m1)*(n-1)+mn2
l1i=l1r+vol
l3r=l1i+vol*it1
err=l3r-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call dset(vol*(it1+1),0.0d+0,stk(l1r),1)
l1=l1r
do 23 i=1,min(n1,m1)
call unsfdcopy(n,stk(l),1,stk(l1),1)
if(it1.eq.1) call unsfdcopy(n,stk(l+n),1,stk(l1+vol),1)
l1=l1+n+m1
23 continue
l1=id1
istk(l1)=1
do 25 j=1,n1
do 24 i=1,m1
l1=l1+1
istk(l1)=istk(l1-1)+1
if(i.eq.j) istk(l1)=istk(l1)+n-1
24 continue
25 continue
elseif(m2.lt.0) then
c A+eye*p
c . p*eye(A) is generated
m2=abs(m1)
n2=abs(n1)
l=l2r
id=id2
n=istk(id+1)-istk(id)
id2=iadr(l3r)
l2r=sadr(id2+mn1+1)
vol=m2*(n-1)+mn1
l2i=l2r+vol
l3r=l2i+vol*it2
err=l3r-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call dset(vol*(it2+1),0.0d+0,stk(l2r),1)
l2=l2r
do 26 i=1,min(n2,m2)
call unsfdcopy(n,stk(l),1,stk(l2),1)
if(it2.eq.1) call unsfdcopy(n,stk(l+n),1,stk(l2+vol),1)
l2=l2+n+m2
26 continue
l2=id2
istk(l2)=1
do 28 j=1,n2
do 27 i=1,m2
l2=l2+1
istk(l2)=istk(l2-1)+1
if(i.eq.j) istk(l2)=istk(l2)+n-1
27 continue
28 continue
elseif(m1.eq.m2.and.n1.eq.n2) then
c . P1+P2 P1-P2
else
if (op.eq.plus) then
call error(8)
else
call error(9)
endif
return
endif
c
id3=iadr(l3r)
l3r=sadr(id3+mn1+1)
vol=0
do 31 k=1,mn1
vol=vol+max(istk(id1+k)-istk(id1+k-1),istk(id2+k)
$ -istk(id2+k-1))
31 continue
l3i=l3r+vol
err=l3i+vol*it3-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
goto (32,33,34) it1+2*it2
call dmpad(stk(l1r),istk(id1),m1,stk(l2r),istk(id2),m2,stk(l3r),
& istk(id3),m1,n1)
call dmpadj(stk(l3r),istk(id3),m1,n1)
goto 35
32 call wdmpad(stk(l1r),stk(l1i),istk(id1),m1,stk(l2r),istk(id2),
& m2,stk(l3r),stk(l3i),istk(id3),m1,n1)
call wmpadj(stk(l3r),stk(l3i),istk(id3),m1,n1)
goto 35
33 call wdmpad(stk(l2r),stk(l2i),istk(id2),m2,stk(l1r),istk(id1),
& m1,stk(l3r),stk(l3i),istk(id3),m1,n1)
call wmpadj(stk(l3r),stk(l3i),istk(id3),m1,n1)
goto 35
34 call wmpad(stk(l1r),stk(l1i),istk(id1),m1,stk(l2r),stk(l2i),
& istk(id2),m2,stk(l3r),stk(l3i),istk(id3),m1,n1)
call wmpadj(stk(l3r),stk(l3i),istk(id3),m1,n1)
35 continue
istk(il1)=2
istk(il1+1)=m1
istk(il1+2)=n1
istk(il1+3)=it3
call icopy(4,var1,1,istk(il1+4),1)
vol=istk(id3+m1*n1)-1
call icopy(mn1+1,istk(id3),1,istk(il1+8),1)
l1r=sadr(il1+9+mn1)
call unsfdcopy(vol,stk(l3r),1,stk(l1r),1)
if(it3.eq.1) call unsfdcopy(vol,stk(l3i),1,stk(l1r+vol),1)
lstk(top+1)=l1r+vol*(it3+1)
goto 999
c
c multiplications
c
40 if(mn1.eq.0.or.mn2.eq.0) then
istk(il1)=1
istk(il1+1)=0
istk(il1+2)=0
istk(il1+3)=0
lstk(top+1)=sadr(il1+4)+1
goto 999
endif
indef=0
if(m1.lt.0) then
if(mn2.eq.1) then
indef=1
else
call error(14)
return
endif
elseif(m2.lt.0) then
if(mn1.eq.1) then
indef=1
else
call error(14)
return
endif
endif
m1=abs(m1)
n1=abs(n1)
m2=abs(m2)
n2=abs(n2)
if(mn1.gt.1.and.mn2.gt.1 .and. op.gt.dot) then
c . a.*b
if(m1.ne.m2.or.n1.ne.n2) then
call error(10)
return
endif
m3=m1
n3=n1
n1=0
vol=istk(id1+mn1)+istk(id2+mn2)-mn2-2
elseif(mn1.eq.1) then
c . cst*b or cst.*b
m1=0
n1=m2
m3=m2
n3=n2
vol=istk(id2+mn2)-1+mn2*(istk(id1+1)-2)
elseif(mn2.eq.1) then
c . a*cst or a.*cst
n2=0
m3=m1
n3=n1
vol=istk(id1+mn1)-1+mn1*(istk(id2+1)-2)
else
c . a*b
if(n1.ne.m2) then
call error(10)
return
endif
m3=m1
n3=n2
c . estimate result size
vol=0
do 46 i=1,m3
j1=id2-m2
do 45 j=1,n3
j1=j1+m2
k1=id1-m1
mx=0
do 44 k=1,n1
k1=k1+m1
ll1=istk(i+k1)-istk(i-1+k1)
ll2=istk(k+j1)-istk(k-1+j1)
mx=max(mx,ll1+ll2)
44 continue
vol=vol+mx-1
45 continue
46 continue
endif
c
50 continue
id3=iadr(l3r)
l3r=sadr(id3+m3*n3+1)
l3i=l3r+vol
err=l3i+it3*vol-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
c
m=max(1,m1)
goto (51,52,53) it1+2*it2
call dmpmu(stk(l1r),istk(id1),m,stk(l2r),istk(id2),m2,
& stk(l3r),istk(id3),m1,n1,n2)
call dmpadj(stk(l3r),istk(id3),m3,n3)
goto 55
51 call wdmpmu(stk(l1r),stk(l1i),istk(id1),m,stk(l2r),istk(id2),
& m2,stk(l3r),stk(l3i),istk(id3),m1,n1,n2)
call wmpadj(stk(l3r),stk(l3i),istk(id3),m3,n3)
goto 55
52 continue
call dwmpmu(stk(l1r),istk(id1),m,stk(l2r),stk(l2i),istk(id2),
& m2,stk(l3r),stk(l3i),istk(id3),m1,n1,n2)
call wmpadj(stk(l3r),stk(l3i),istk(id3),m3,n3)
goto 55
53 call wmpmu(stk(l1r),stk(l1i),istk(id1),m,stk(l2r),stk(l2i),
& istk(id2),m2,stk(l3r),stk(l3i),istk(id3),m1,n1,n2)
call wmpadj(stk(l3r),stk(l3i),istk(id3),m3,n3)
goto 55
c
55 if(istk(il1).eq.1) id1=il1+8
l1r=sadr(id1+m3*n3+1)
call icopy(m3*n3+1,istk(id3),1,istk(id1),1)
vol=istk(id1+m3*n3)-1
call unsfdcopy(vol,stk(l3r),1,stk(l1r),1)
if(it3.eq.1) call unsfdcopy(vol,stk(l3i),1,stk(l1r+vol),1)
lstk(top+1)=l1r+vol*(it3+1)
istk(il1)=2
istk(il1+1)=m3
istk(il1+2)=n3
istk(il1+3)=it3
call icopy(4,var1,1,istk(il1+4),1)
if(indef.eq.0) goto 999
istk(il1+1)=-1
istk(il1+2)=-1
goto 999
c
c concatenation [a b]
c
60 continue
if(m1.lt.0.or.m2.lt.0) then
call error(14)
return
endif
if(m2.eq.0) then
return
elseif(m1.eq.0)then
call unsfdcopy(lstk(top+2)-lstk(top+1),stk(lstk(top+1)),1,
& stk(lstk(top)),1)
lstk(top+1)=lstk(top)+lstk(top+2)-lstk(top+1)
return
elseif(m1.ne.m2) then
call error(5)
return
endif
c
id3=iadr(l3r)
l3r=sadr(id3+mn1+mn2+1)
vol=istk(id1+mn1)+istk(id2+mn2)-2
l3i=l3r+vol
lw=l3i+vol*it3
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
goto (61,62,63) it1+2*it2
call dmpcnc(stk(l1r),istk(id1),m1,stk(l2r),istk(id2),m1,
& stk(l3r),istk(id3),m1,n1,n2,1)
goto 64
61 call wmpcnc(stk(l1r),stk(l1i),istk(id1),m1,stk(l2r),st,
& istk(id2),m1,stk(l3r),stk(l3i),istk(id3),m1,n1,n2,3)
goto 64
62 call wmpcnc(stk(l1r),st,istk(id1),m1,stk(l2r),stk(l2i),
& istk(id2),m1,stk(l3r),stk(l3i),istk(id3),m1,n1,n2,2)
goto 64
63 call wmpcnc(stk(l1r),stk(l1i),istk(id1),m1,stk(l2r),stk(l2i),
& istk(id2),m1,stk(l3r),stk(l3i),istk(id3),m1,n1,n2,1)
goto 64
c
64 istk(il1)=2
istk(il1+1)=m1
istk(il1+2)=n1+n2
istk(il1+3)=it3
call icopy(mn1+mn2+1,istk(id3),1,istk(il1+8),1)
l1r=sadr(il1+9+mn1+mn2)
call unsfdcopy(vol*(it3+1),stk(l3r),1,stk(l1r),1)
call icopy(4,var1,1,istk(il1+4),1)
lstk(top+1)=l1r+vol*(it3+1)
goto 999
c
c concatenation [a;b]
65 if(n1.lt.0.or.n2.lt.0) then
call error(14)
return
endif
if(n2.eq.0) then
goto 999
elseif(n1.eq.0)then
call unsfdcopy(lstk(top+2)-lstk(top+1),stk(lstk(top+1)),1,
& stk(lstk(top)),1)
lstk(top+1)=lstk(top)+lstk(top+2)-lstk(top+1)
goto 999
elseif(n1.ne.n2) then
call error(6)
return
endif
m=m1+m2
mn=m*n1
c
id3=iadr(l3r)
l3r=sadr(id3+mn+1)
vol=istk(id1+mn1)+istk(id2+mn2)-2
l3i=l3r+vol
lw=l3i+vol*it3
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
goto (66,67,68) it1+2*it2
call dmpcnc(stk(l1r),istk(id1),m1,stk(l2r),istk(id2),m2,
& stk(l3r),istk(id3),m1,m2,n2,-1)
goto 69
66 call wmpcnc(stk(l1r),stk(l1i),istk(id1),m1,stk(l2r),st,
& istk(id2),m2,stk(l3r),stk(l3i),istk(id3),m1,m2,n2,-3)
goto 69
67 call wmpcnc(stk(l1r),st,istk(id1),m1,stk(l2r),stk(l2i),
& istk(id2),m2,stk(l3r),stk(l3i),istk(id3),m1,m2,n2,-2)
goto 69
68 call wmpcnc(stk(l1r),stk(l1i),istk(id1),m1,stk(l2r),stk(l2i),
& istk(id2),m2,stk(l3r),stk(l3i),istk(id3),m1,m2,n2,-1)
goto 69
c
69 istk(il1)=2
istk(il1+1)=m
istk(il1+2)=n1
istk(il1+3)=it3
call icopy(mn1+mn2+1,istk(id3),1,istk(il1+8),1)
l1r=sadr(il1+9+mn1+mn2)
call unsfdcopy(vol*(it3+1),stk(l3r),1,stk(l1r),1)
call icopy(4,var1,1,istk(il1+4),1)
lstk(top+1)=l1r+vol*(it3+1)
goto 999
c
c puissance .^
c
70 il2=iadr(lstk(top))
m2=istk(il2+1)
n2=istk(il2+2)
top=top-1
if(istk(il2).ne.1.or.istk(il2+3).ne.0) then
call error(30)
return
endif
mn2=istk(il2+1)*istk(il2+2)
if (mn2.eq.0) then
il1=iadr(lstk(top))
istk(il1)=1
istk(il1+1)=0
istk(il1+2)=0
istk(il1+3)=0
lstk(top+1)=sadr(il1+4)+1
return
endif
l2=sadr(il2+4)
c
il1=iadr(lstk(top))
m1=abs(istk(il1+1))
n1=abs(istk(il1+2))
it1=istk(il1+3)
mn1=m1*n1
id1=il1+8
l1r=sadr(id1+mn1+1)
vol=istk(id1+mn1)-1
l1i=l1r+vol
c
if (mn2 .gt. 1) then
m=m2
n=n2
inc2=1
if (mn1 .eq.1) then
inc1=0
elseif(m1.eq.m2.and.n1.eq.n2) then
inc1=1
else
call error(30)
return
endif
else
inc2=0
inc1=1
m=m1
n=n1
endif
mn=m*n
c
idr=iadr(lw)
lr=sadr(idr+mn+1)
err=lr-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
istk(idr)=1
do 71 i=0,mn-1
i1=i*inc1
i2=i*inc2
nexp=int(stk(l2+i2))
if(dble(nexp).ne.stk(l2+i2)) then
call error(30)
return
elseif(nexp.lt.0) then
fin=-fin
top=top+1
return
endif
istk(idr+i+1)=istk(idr+i)+
$ (istk(id1+i1+1)-istk(id1+i1)-1)*nexp+1
71 continue
nr=istk(idr+mn)-1
err=lr+nr*(it1+1)-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
do 73 i=1,mn
i1=(i-1)*inc1
i2=(i-1)*inc2
nexp=int(stk(l2+i2))
l1=l1r+istk(id1+i1)-1
l=lr+istk(idr+i-1)-1
ni=istk(id1+i1+1)-istk(id1+i1)
if(nexp.gt.0) then
call unsfdcopy(ni,stk(l1),1,stk(l),1)
if(it1.eq.1) call unsfdcopy(ni,stk(l1+vol),1,stk(l+nr),1)
else
stk(l)=1.0d0
if(it1.eq.1) stk(l+nr)=0.0d0
endif
mi=ni-1
if(nexp.gt.1) then
do 72 ne=2,nexp
if(it1.eq.0) then
call dpmul1(stk(l),mi,stk(l1),ni-1,stk(l))
else
call wpmul1(stk(l),stk(l+nr),mi,stk(l1),
& stk(l1+vol),ni-1,stk(l),stk(l+nr))
endif
mi=mi+ni-1
72 continue
endif
73 continue
istk(il1+1)=m
istk(il1+2)=n
istk(il1+3)=it1
call icopy(mn+1,istk(idr),1,istk(id1),1)
l1=sadr(id1+mn+1)
call unsfdcopy(nr*(it1+1),stk(lr),1,stk(l1),1)
lstk(top+1)=l1+nr*(it1+1)
goto 999
c puissance de matrice
80 continue
il2=iadr(lstk(top))
mn2=istk(il2+1)*istk(il2+2)
il1=iadr(lstk(top-1))
m1=abs(istk(il1+1))
n1=abs(istk(il1+2))
it1=istk(il1+3)
mn1=m1*n1
if(mn1.eq.1) goto 70
if(mn2.gt.1) then
fin=-fin
return
endif
if(m1.ne.n1) then
if(mn2.eq.1.and.(m1.eq.1.or.n1.eq.1)) goto 70
err=1
call error(20)
return
endif
fin=-fin
return
c
101 vol=istk(id1+mn1)-1
c multiplication par -1
call dscal(vol*(it1+1),-1.0d+0,stk(l1r),1)
goto 999
c
c transposition
110 continue
vol=istk(id1+mn1)-1
if(abs(m1).eq.1.or.abs(n1).eq.1) then
if(it1.eq.1.and.op.ne.quote+dot) then
call dscal(vol,-1.0d0,stk(l1i),1)
endif
istk(il1+1)=n1
istk(il1+2)=m1
goto 999
endif
id2=iadr(lstk(top+1))
l2r=sadr(id2+mn1+1)
l2i=l2r+vol
err=l2r+vol*(it1+1)-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
if(it1.eq.1) goto 111
call dmptra(stk(l1r),istk(id1),m1,stk(l2r),istk(id2),m1,n1)
goto 112
111 call wmptra(stk(l1r),stk(l1i),istk(id1),m1,stk(l2r),stk(l2i),
& istk(id2),m1,n1)
112 istk(il1+1)=n1
istk(il1+2)=m1
call icopy(mn1+1,istk(id2),1,istk(id1),1)
call unsfdcopy(vol*(it1+1),stk(l2r),1,stk(l1r),1)
if (it1.eq.1.and.op.ne.quote+dot) then
call dscal(vol,-1.0d0,stk(l1r+vol),1)
endif
goto 999
c
c
c insertion
c
120 continue
if(rhs.gt.4) then
top=topin
fin=-fin
return
endif
if(rhs.eq.4) goto 124
c arg3(arg1)=arg2
c
c get arg3
var3(1)=0
il3=iadr(lstk(top))
if(istk(il3).lt.0) il3=iadr(istk(il3+1))
m3=istk(il3+1)
n3=istk(il3+2)
it3=istk(il3+3)
mn3=m3*n3
if(istk(il3).eq.2) then
id3=il3+8
call icopy(4,istk(il3+4),1,var3,1)
l3r=sadr(id3+mn3+1)
vol=istk(id3+mn3)-1
l3i=l3r+vol
elseif(istk(il3).eq.1) then
l3r=sadr(il3+4)
l3i=l3r+mn3
id3=iadr(lw)
lw=sadr(id3+mn3+1)
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call ivimp(1,mn3+1,1,istk(id3))
endif
c get arg2
top=top-1
var2(1)=0
il2=iadr(lstk(top))
if(istk(il2).lt.0) il2=iadr(istk(il2+1))
if(istk(il2).eq.0) then
call error(220)
return
endif
m2=istk(il2+1)
n2=istk(il2+2)
it2=istk(il2+3)
mn2=m2*n2
if(istk(il2).eq.2) then
id2=il2+8
call icopy(4,istk(il2+4),1,var2,1)
l2r=sadr(id2+mn2+1)
vol=istk(id2+mn2)-1
l2i=l2r+vol
else
l2r=sadr(il2+4)
l2i=l2r+mn2
id2=iadr(lw)
lw=sadr(id2+mn2+1)
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call ivimp(1,mn2+1,1,istk(id2))
endif
if(var2(1).eq.0) call icopy(4,var3,1,var2,1)
if(.not.chkvar(var2,var3)) then
fin=-fin
top=top+1
endif
c get arg1
top=top-1
il1=iadr(lstk(top))
ilrs=il1
if(il1.lt.0) il1=iadr(istk(il1))
if(istk(il1).eq.0) then
call error(220)
return
endif
if (istk(il1).eq.10.or.istk(il1).eq.15) then
top=topin
fin=-fin
return
endif
m1=istk(il1+1)
n1=istk(il1+2)
c
if (m2.eq.0) then
c . arg3(arg1)=[]
if(m1.eq.-1) then
c . arg3(:)=[] -->[]
istk(ilrs)=1
istk(ilrs+1)=0
istk(ilrs+2)=0
istk(ilrs+3)=0
lstk(top+1)=sadr(ilrs+4)+1
goto 999
elseif(m1.eq.0) then
c . arg3([])=[] --> arg3
volr=istk(id3+mn3)-1
istk(ilrs)=2
istk(ilrs+1)=m3
istk(ilrs+2)=n3
istk(ilrs+3)=it3
call icopy(4,var2,1,istk(ilrs+4),1)
call icopy(mn3+1,istk(id3),1,istk(ilrs+8),1)
l1=sadr(ilrs+9+mn3)
call unsfdcopy(volr*(it3+1),stk(l3r),1,stk(l1),1)
lstk(top+1)=l1+volr*(it3+1)
goto 999
else
c . arg3(arg1)=[] --> arg3(compl(arg1))
call indxgc(il1,mn3,ilr,mi,mx,lw)
if(err.gt.0) return
l2r=l3r
l2i=l3i
n2=n3
m2=m3
mn2=m2*n2
it2=it3
id2=id3
ili=ilr
c . call extraction
goto 131
endif
elseif(m2.lt.0.or.m3.lt.0) then
c . arg3=eye,arg2=eye
call error(14)
return
elseif(m1.lt.0) then
c . arg3(:)=arg2
if(mn2.ne.mn3) then
if(mn2.eq.1) goto 121
call error(15)
return
endif
c . reshape arg2 according to arg3
volr=lstk(top+2)-lstk(top+1)
c . copy arg2
call unsfdcopy(volr,stk(lstk(top+1)),1,stk(lstk(top)),1)
c . change dimensions
istk(ilrs+1)=m3
istk(ilrs+2)=n3
lstk(top+1)=lstk(top)+volr
goto 999
endif
121 call indxg(il1,mn3,ili,mi,mxi,lw,1)
if(err.gt.0) return
if(mi.eq.0) then
c . arg3([])=arg2
if(mn2.eq.1) then
c . arg3([])=c --> arg3
volr=istk(id3+mn3)-1
istk(ilrs)=2
istk(ilrs+1)=m3
istk(ilrs+2)=n3
istk(ilrs+3)=it3
call icopy(4,var2,1,istk(ilrs+4),1)
call icopy(mn3+1,istk(id3),1,istk(ilrs+8),1)
l1=sadr(ilrs+9+mn3)
call unsfdcopy(volr*(it3+1),stk(l3r),1,stk(l1),1)
lstk(top+1)=l1+volr*(it3+1)
goto 999
else
call error(15)
return
endif
endif
inc2=1
if(mi.ne.mn2) then
if(mn2.eq.1) then
inc2=0
else
call error(15)
return
endif
endif
c
if (n3.gt.1.and.m3.gt.1) then
c . arg3 is not a vector
if(n2.gt.1.and.m2.gt.1) then
call error(15)
return
endif
if(mxi.gt.m3*n3) then
call error(21)
return
endif
mr=m3
nr=n3
elseif (n3.le.1.and.n2.le.1) then
c . arg3 and arg2 are column vectors
mr=max(m3,mxi)
nr=max(n3,1)
elseif (m3.le.1.and.m2.le.1) then
c . row vectors
nr=max(n3,mxi)
mr=max(m3,1)
else
c . arg3 and arg2 dimensions dont agree
call error(15)
return
endif
c
itr=max(it2,it3)
mnr=mr*nr
c set result pointers
idr=iadr(lw)
lr=sadr(idr+mr*nr+1)
lw=lr
err=lr-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call mpinsp(istk(id3),m3*n3,1,istk(ili),mi,1,1,istk(id2),m2*n2,1
$ ,istk(idr),mr*nr,1,err)
if(err.gt.0) then
call error(15)
return
endif
volr=istk(idr)
c set result coefficients
li=lr+volr
lw=li+volr*itr
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
c
if(it2.eq.0) then
if(it3.eq.0) then
call dmpins(stk(l3r),istk(id3),m3*n3,1,stk(l2r),istk(id2),
$ m2*n2,1,stk(lr),istk(idr),mr*nr,1)
else
l2i=lw
lw=l2i+istk(id2+mn2)
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call dset(istk(id2+mn2)-1,0.0d+0,stk(l2i),1)
call wmpins(stk(l3r),stk(l3i),istk(id3),m3*n3,1,
$ stk(l2r),stk(l2i),istk(id2),m2*n2,1,stk(lr),
$ stk(lr+volr),istk(idr),mr*nr,1)
endif
else
if(it3.eq.0) then
l3i=lw
lw=l3i+istk(id3+mn3)
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call dset(istk(id3+mn3)-1,0.0d+0,stk(l3i),1)
call wmpins(stk(l3r),stk(l3i),istk(id3),m3*n3,1,
$ stk(l2r),stk(l2i),istk(id2),m2*n2,1,stk(lr),
$ stk(lr+volr),istk(idr),mr*nr,1)
else
call wmpins(stk(l3r),stk(l3i),istk(id3),m3*n3,1,
$ stk(l2r),stk(l2i),istk(id2),m2*n2,1,stk(lr),
$ stk(lr+volr),istk(idr),mr*nr,1)
endif
endif
c set output variable
il1=iadr(lstk(top))
istk(il1)=2
istk(il1+1)=mr
istk(il1+2)=nr
istk(il1+3)=itr
call icopy(4,var2,1,istk(il1+4),1)
call icopy(mr*nr+1,istk(idr),1,istk(il1+8),1)
l1=sadr(il1+mr*nr+9)
call unsfdcopy(volr*(itr+1),stk(lr),1,stk(l1),1)
lstk(top+1)=l1+volr*(itr+1)
goto 999
c
124 continue
c arg4(arg1,arg2)=arg3
c get arg4
var4(1)=0
il4=iadr(lstk(top))
if(istk(il4).lt.0) il4=iadr(istk(il4+1))
m4=istk(il4+1)
n4=istk(il4+2)
it4=istk(il4+3)
mn4=m4*n4
if(istk(il4).eq.2) then
id4=il4+8
call icopy(4,istk(il4+4),1,var4,1)
l4r=sadr(id4+mn4+1)
vol=istk(id4+mn4)-1
l4i=l4r+vol
else
l4r=sadr(il4+4)
l4i=l4r+mn4
id4=iadr(lw)
lw=sadr(id4+mn4+1)
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call ivimp(1,mn4+1,1,istk(id4))
endif
top=top-1
c get arg3
var3(1)=0
il3=iadr(lstk(top))
if(istk(il3).lt.0) il3=iadr(istk(il3+1))
if(istk(il3).eq.0) then
call error(220)
return
endif
m3=istk(il3+1)
n3=istk(il3+2)
it3=istk(il3+3)
mn3=m3*n3
if(istk(il3).eq.2) then
id3=il3+8
call icopy(4,istk(il3+4),1,var3,1)
l3r=sadr(id3+mn3+1)
vol=istk(id3+mn3)-1
l3i=l3r+vol
else
l3r=sadr(il3+4)
l3i=l3r+mn3
id3=iadr(lw)
lw=sadr(id3+mn3+1)
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call ivimp(1,mn3+1,1,istk(id3))
endif
if(var3(1).eq.0) call icopy(4,var4,1,var3,1)
if(.not.chkvar(var3,var4)) then
fin=-fin
top=top+2
endif
c get arg2
top=top-1
il2=iadr(lstk(top))
if(istk(il2).lt.0) il2=iadr(istk(il2+1))
if(istk(il2).eq.0) then
call error(220)
return
endif
m2=istk(il2+1)
c get arg1
top=top-1
il1=iadr(lstk(top))
ilrs=il1
if(istk(il1).lt.0) il1=iadr(istk(il1+1))
if(istk(il1).eq.0) then
call error(220)
return
endif
m1=istk(il1+1)
if (m3.eq.0) then
c . arg4(arg1,arg2)=[]
if(m1.eq.-1.and.m2.eq.-1) then
c . arg4(:,:)=[] -->[]
istk(ilrs)=1
istk(ilrs+1)=0
istk(ilrs+2)=0
istk(ilrs+3)=0
lstk(top+1)=sadr(ilrs+4)+1
goto 999
elseif(m1.eq.0.or.m2.eq.0) then
c . arg4([],arg2)=[], arg4(arg1,[])=[] --> arg4
volr=istk(id4+mn4)-1
istk(ilrs)=2
istk(ilrs+1)=m4
istk(ilrs+2)=n4
istk(ilrs+3)=it4
call icopy(4,var3,1,istk(ilrs+4),1)
call icopy(mn4+1,istk(id4),1,istk(ilrs+8),1)
l1=sadr(ilrs+9+mn4)
call unsfdcopy(volr*(it4+1),stk(l4r),1,stk(l1),1)
lstk(top+1)=l1+volr*(it4+1)
goto 999
elseif(m2.eq.-1) then
c . arg4(arg1,:)=[] --> arg3(compl(arg1),:)
call indxgc(il1,m4,ili,mi,mxi,lw)
if(err.gt.0) return
call indxg(il2,n4,ilj,nj,mxj,lw,1)
if(err.gt.0) return
l3r=l4r
l3i=l4i
n3=n4
m3=m4
mn3=m3*n3
it3=it4
id3=id4
c . call extraction
goto 133
elseif(m1.eq.-1) then
c . arg4(:,arg2)=[] --> arg4(:,compl(arg2))
call indxgc(il2,n4,ilj,nj,mxj,lw)
if(err.gt.0) return
call indxg(il1,m4,ili,mi,mxi,lw,1)
if(err.gt.0) return
l3r=l4r
l3i=l4i
n3=n4
m3=m4
mn3=m3*n3
it3=it4
id3=id4
c . call extraction
goto 133
else
c . arg4(arg1,arg2)=[]
lw1=lw
call indxgc(il2,n4,ilj,nj,mxj,lw)
if(err.gt.0) return
if(nj.eq.0) then
c . arg4(arg1,1:n4)=[]
call indxgc(il1,m4,ili,mi,mxi,lw)
lw2=lw
if(err.gt.0) return
c . arg2=1:n4
if(mi.eq.0) then
c . arg4(1:m4,1:n4)=[]
istk(ilrs)=1
istk(ilrs+1)=0
istk(ilrs+2)=0
istk(ilrs+3)=0
lstk(top+1)=sadr(ilrs+4)+1
goto 999
else
c . arg4(arg1,1:n4)=[]
c . replace arg2 by ":"
il2=iadr(lw2)
istk(il2)=1
istk(il2+1)=-1
istk(il2+2)=-1
istk(il2+3)=0
c .
lw=lw2+2
call indxg(il2,n4,ilj,nj,mxj,lw,1)
if(err.gt.0) return
l3r=l4r
n3=n4
m3=m4
it3=it4
mn3=m3*n3
id3=id4
c . call extraction
goto 133
endif
else
c lw=lw1
call indxgc(il1,m4,ili,mi,mxi,lw)
if(err.gt.0) return
if(mi.eq.0) then
call indxg(il1,m4,ili,mi,mxi,lw,1)
if(err.gt.0) return
l3r=l4r
n3=n4
m3=m4
it3=it4
mn3=m3*n3
id3=id4
c . call extraction
goto 133
else
call error(15)
return
endif
endif
endif
elseif(m3.lt.0.or.m4.lt.0) then
c . arg3=eye , arg4=eye
call error(14)
return
elseif(m1.eq.-1.and.m2.eq.-1) then
c . arg4(:,:)=arg3
if(mn3.ne.mn4) then
if(mn3.eq.1) goto 125
call error(15)
return
endif
c . reshape arg3 according to arg4
volr=istk(id3+mn3)-1
istk(ilrs)=2
istk(ilrs+1)=m4
istk(ilrs+2)=n4
istk(ilrs+3)=it3
call icopy(4,var3,1,istk(ilrs+4),1)
call icopy(mn3+1,istk(id3),1,istk(ilrs+8),1)
l1=sadr(ilrs+9+mn3)
call unsfdcopy(volr*(it3+1),stk(l3r),1,stk(l1),1)
lstk(top+1)=l1+volr*(it3+1)
goto 999
endif
125 call indxg(il1,m4,ili,mi,mxi,lw,1)
if(err.gt.0) return
call indxg(il2,n4,ilj,mj,mxj,lw,1)
if(err.gt.0) return
if(mi.ne.m3.or.mj.ne.n3) then
c . sizes of arg1 or arg2 dont agree with arg3 sizes
inc3=1
if(mn3.eq.1) then
if(mi.eq.0.or.mj.eq.0) then
volr=istk(id4+mn4)-1
istk(ilrs)=2
istk(ilrs+1)=m4
istk(ilrs+2)=n4
istk(ilrs+3)=it4
call icopy(4,var3,1,istk(ilrs+4),1)
call icopy(mn4+1,istk(id4),1,istk(ilrs+8),1)
l1=sadr(ilrs+9+mn4)
call unsfdcopy(volr*(it4+1),stk(l4r),1,stk(l1),1)
lstk(top+1)=l1+volr*(it4+1)
goto 999
endif
inc3=0
else
call error(15)
return
endif
else
if(mi.eq.0.or.mj.eq.0) then
call error(15)
return
endif
endif
mr=max(m4,mxi)
nr=max(n4,mxj)
c
mnr=mr*nr
itr=max(it4,it3)
c set result pointers
idr=iadr(lw)
lr=sadr(idr+mr*nr+1)
lw=lr
err=lr-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call mpinsp(istk(id4),m4,n4,istk(ili),mi,istk(ilj),mj,istk(id3)
$ ,m3,n3,istk(idr),mr,nr,err)
if(err.gt.0) then
call error(15)
return
endif
volr=istk(idr)
c set result coefficients
li=lr+volr
lw=li+volr*itr
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
c
if(it3.eq.0) then
if(it4.eq.0) then
call dmpins(stk(l4r),istk(id4),m4,n4,stk(l3r),istk(id3),
$ m3,n3,stk(lr),istk(idr),mr,nr)
else
l3i=lw
lw=l3i+istk(id3+mn3)
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call dset(istk(id3+mn3),0.0d+0,stk(l3i),1)
call wmpins(stk(l4r),stk(l4i),istk(id4),m4,n4,
$ stk(l3r),stk(l3i),istk(id3),m3,n3,stk(lr),
$ stk(lr+volr),istk(idr),mr,nr)
endif
else
if(it4.eq.0) then
l4i=lw
lw=l4i+istk(id4+mn4)
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call dset(istk(id4+mn4),0.0d+0,stk(l4i),1)
call wmpins(stk(l4r),stk(l4i),istk(id4),m4,n4,
$ stk(l3r),stk(l3i),istk(id3),m3,n3,stk(lr),
$ stk(lr+volr),istk(idr),mr,nr)
else
call wmpins(stk(l4r),stk(l4i),istk(id4),m4,n4,
$ stk(l3r),stk(l3i),istk(id3),m3,n3,stk(lr),
$ stk(lr+volr),istk(idr),mr,nr)
endif
endif
c set output variable
il1=iadr(lstk(top))
istk(il1)=2
istk(il1+1)=mr
istk(il1+2)=nr
istk(il1+3)=itr
call icopy(4,var3,1,istk(il1+4),1)
call icopy(mr*nr+1,istk(idr),1,istk(il1+8),1)
l1=sadr(il1+mr*nr+9)
call unsfdcopy(volr*(itr+1),stk(lr),1,stk(l1),1)
lstk(top+1)=l1+volr*(itr+1)
goto 999
c
c extraction
130 continue
if(rhs.lt.2) then
call error(227)
return
endif
if(rhs.gt.2) goto 132
c arg2(arg1)
c get arg2
il2=iadr(lstk(top))
if(istk(il2).lt.0) il2=iadr(istk(il2+1))
m2=istk(il2+1)
n2=istk(il2+2)
it2=istk(il2+3)
mn2=m2*n2
id2=il2+8
call icopy(4,istk(il2+4),1,var2,1)
l2r=sadr(id2+mn2+1)
vol=istk(id2+mn2)-1
l2i=l2r+vol
c get arg1
top=top-1
il1=iadr(lstk(top))
if(istk(il1).lt.0) il1=iadr(istk(il1+1))
if(istk(il1).eq.0) then
call error(220)
return
endif
m1=istk(il1+1)
n1=istk(il1+2)
if(mn2.eq.0) then
c . arg2=[]
il1=iadr(lstk(top))
istk(il1)=1
istk(il1+1)=0
istk(il1+2)=0
istk(il1+3)=0
l1=sadr(il1+4)
lstk(top+1)=l1+1
goto 999
elseif(m2.lt.0) then
c . arg2=eye
call error(14)
return
elseif(m1.lt.0) then
c . arg2(:), just reshape to column vector
volr=istk(id2+mn2)-1
il1=iadr(lstk(top))
istk(il1)=2
istk(il1+1)=mn2
istk(il1+2)=1
istk(il1+3)=istk(il2+3)
call icopy(4,var2,1,istk(il1+4),1)
call icopy(mn2+1,istk(id2),1,istk(il1+8),1)
l1=sadr(il1+9+mn2)
call unsfdcopy(volr*(it2+1),stk(l2r),1,stk(l1),1)
lstk(top+1)=l1+volr*(it2+1)
goto 999
endif
c check and convert indices variable
call indxg(il1,mn2,ili,mi,mx,lw,1)
if(err.gt.0) return
if(mx.gt.mn2) then
call error(21)
return
endif
131 if(mi.eq.0) then
c arg2([])
il1=iadr(lstk(top))
istk(il1)=1
istk(il1+1)=0
istk(il1+2)=0
istk(il1+3)=0
l1=sadr(il1+4)
lstk(top+1)=l1+1
goto 999
endif
c get memory for the result
idr=iadr(lw)
lr=sadr(idr+mi+1)
lw=lr
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
c set result pointers
if (m2 .gt. 1.or.m1.lt.0) then
call dmpext(stk(l2r),istk(id2),m2,n2,istk(ili),mi,1,1,stk(lr)
$ ,istk(idr),0,err)
else
call dmpext(stk(l2r),istk(id2),m2,n2,1,1,istk(ili),mi,stk(lr)
$ ,istk(idr),0,err)
endif
if(err.gt.0) then
call error(21)
return
endif
c set result coefficients
volr=istk(idr+mi)-1
lw=lr+volr*(it2+1)
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
if (m2.eq.1.and.n2.eq.1.and.m1.gt.0) then
m = m1
n = min(n1,mi)
call dmpext(stk(l2r),istk(id2),m2,n2,istk(ili),mi,1,1,stk(lr)
$ ,istk(idr),1,err)
if(it2.eq.1) call dmpext(stk(l2i),istk(id2),m2,n2,istk(ili),mi
$ ,1,1,stk(lr+volr),istk(idr),1,err)
elseif (m2 .gt. 1.or.m1.lt.0) then
call dmpext(stk(l2r),istk(id2),m2,n2,istk(ili),mi,1,1,stk(lr)
$ ,istk(idr),1,err)
if(it2.eq.1) call dmpext(stk(l2i),istk(id2),m2,n2,istk(ili),mi
$ ,1,1,stk(lr+volr),istk(idr),1,err)
m = mi
n = 1
else
call dmpext(stk(l2r),istk(id2),m2,n2,1,1,istk(ili),mi,stk(lr)
$ ,istk(idr),1,err)
if(it2.eq.1) call dmpext(stk(l2i),istk(id2),m2,n2,1,1,istk(ili)
$ ,mi,stk(lr+volr),istk(idr),1,err)
n = mi
m = 1
endif
c form resulting variable
il1=iadr(lstk(top))
istk(il1)=2
istk(il1+1)=m
istk(il1+2)=n
istk(il1+3)=it2
call icopy(4,var2,1,istk(il1+4),1)
call icopy(mi+1,istk(idr),1,istk(il1+8),1)
l1=sadr(il1+9+mi)
call unsfdcopy(volr*(it2+1),stk(lr),1,stk(l1),1)
lstk(top+1)=l1+volr*(it2+1)
go to 999
c
132 continue
c arg3(arg1,arg2)
if(rhs.gt.3) then
call error(36)
return
endif
c get arg3
il3=iadr(lstk(top))
if(istk(il3).lt.0) il3=iadr(istk(il3+1))
m3=istk(il3+1)
n3=istk(il3+2)
it3=istk(il3+3)
mn3=m3*n3
id3=il3+8
call icopy(4,istk(il3+4),1,var3,1)
l3r=sadr(id3+mn3+1)
vol=istk(id3+mn3)-1
l3i=l3r+vol
c get arg2
top=top-1
il2=iadr(lstk(top))
if(istk(il2).lt.0) il2=iadr(istk(il2+1))
if(istk(il2).eq.0) then
call error(220)
return
endif
m2=istk(il2+1)
c get arg1
top=top-1
il1=iadr(lstk(top))
if(istk(il1).lt.0) il1=iadr(istk(il1+1))
if(istk(il1).eq.0) then
call error(220)
return
endif
m1=istk(il1+1)
c
if(mn3.eq.0) then
c . arg3=[]
il1=iadr(lstk(top))
istk(il1)=1
istk(il1+1)=0
istk(il1+2)=0
istk(il1+3)=0
l1=sadr(il1+4)
lstk(top+1)=l1+1
goto 999
elseif(m3.lt.0) then
c .arg3=eye
call error(14)
return
endif
c check and convert indices variables
call indxg(il1,m3,ili,mi,mxi,lw,1)
if(err.gt.0) return
if(mxi.gt.m3) then
call error(21)
return
endif
call indxg(il2,n3,ilj,nj,mxj,lw,1)
if(err.gt.0) return
if(mxj.gt.n3) then
call error(21)
return
endif
c
c perform extraction
133 mnr=mi*nj
if(mnr.eq.0) then
c . arg1=[] or arg2=[]
il1=iadr(lstk(top))
istk(il1)=1
istk(il1+1)=0
istk(il1+2)=0
istk(il1+3)=0
l1=sadr(il1+4)
lstk(top+1)=l1+1
goto 999
endif
idr=iadr(lw)
lr=sadr(idr+mnr+1)
lw=lr
err=lr-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
c set result pointers
call dmpext(stk(l3r),istk(id3),m3,n3,istk(ili),mi,istk(ilj),nj
$ ,stk(lr),istk(idr),0,err)
if(err.gt.0) then
call error(21)
return
endif
c set result coefficients
volr=istk(idr+mnr)-1
lw=lr+volr*(it3+1)
err=lw-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call dmpext(stk(l3r),istk(id3),m3,n3,istk(ili),mi,istk(ilj),nj
$ ,stk(lr),istk(idr),1,err)
if(it3.eq.1) call dmpext(stk(l3i),istk(id3),m3,n3,istk(ili),mi
$ ,istk(ilj),nj,stk(lr+volr),istk(idr),1,err)
c
il1=iadr(lstk(top))
istk(il1)=2
istk(il1+1)=mi
istk(il1+2)=nj
istk(il1+3)=it3
call icopy(4,var3,1,istk(il1+4),1)
call icopy(mnr+1,istk(idr),1,istk(il1+8),1)
l1=sadr(il1+9+mnr)
call unsfdcopy(volr*(it3+1),stk(lr),1,stk(l1),1)
lstk(top+1)=l1+volr*(it3+1)
goto 999
c
c divisions
c
c division a droite
150 continue
if(mn1.eq.0.or.mn2.eq.0) then
istk(il1)=1
istk(il1+1)=0
istk(il1+2)=0
istk(il1+3)=0
lstk(top+1)=sadr(il1+4)+1
goto 999
endif
if(op.eq.slash) then
if(mn2.ne.1.and.mn1.ne.1.and.n2.ne.n1) then
call error(11)
return
endif
if(istk(il2).ne.1) then
c . divisor is a polynomial
fin=-op
top=top+1
goto 999
elseif(mn2.gt.1) then
c . divisor is not a scalar
fin=-op
top=top+1
goto 999
else
c . scalar divisor
mn=mn2
l=l2r
il=il2
it=it2
goto 157
endif
elseif(op.eq.dot+slash) then
if(mn2.ne.1.and.mn1.ne.1.and.(m1.ne.m2.or.n1.ne.n2)) then
call error(11)
return
endif
if(istk(il2).ne.1) then
c . divisor is a polynomial
fin=-op
top=top+1
goto 999
else
c . divisor is a vector of scalar
mn=mn2
l=l2r
il=il2
it=it2
goto 157
endif
endif
c
c
c division a gauche
155 continue
if(mn1.eq.0.or.mn2.eq.0) then
istk(il1)=1
istk(il1+1)=0
istk(il1+2)=0
istk(il1+3)=0
lstk(top+1)=sadr(il1+4)+1
goto 999
endif
if(op.eq.bslash) then
if(mn2.ne.1.and.mn1.ne.1.and.m2.ne.m1) then
call error(12)
return
endif
if(istk(il1).ne.1) then
c . divisor is a polynomial
fin=-op
top=top+1
goto 999
elseif(mn1.gt.1) then
c . divisor is not a scalar
fin=-op
top=top+1
goto 999
else
c . scalar divisor
mn=mn1
l=l1r
il=il1
it=it1
goto 157
endif
elseif(op.eq.dot+bslash) then
if(mn2.ne.1.and.mn1.ne.1.and.(m1.ne.m2.or.n1.ne.n2)) then
call error(12)
return
endif
if(istk(il1).ne.1) then
c . divisor is a polynomial
fin=-op
top=top+1
goto 999
else
c . divisor is a vector of scalar
mn=mn1
l=l1r
il=il1
it=it1
goto 157
endif
endif
go to 999
c in-line inversion procedure
157 continue
c divisor is a vector of scalars
do 158 i=1,mn
sr=stk(l-1+i)
si=0.0d+0
if(it.eq.1) si=stk(l+mn-1+i)
e1=max(abs(sr),abs(si))
if(e1.eq.0.d0) then
call error(27)
return
endif
sr=sr/e1
si=si/e1
e1=e1*(sr*sr+si*si)
stk(l-1+i)=sr/e1
if(it.eq.1) stk(l+mn-1+i)=-si/e1
158 continue
c . goto multiplication alg
goto 40
c
c comparaisons
160 continue
itrue=1
if(op.eq.less+great) itrue=0
c comparaison des types
if(istk(il1).gt.2.or.istk(il2).gt.2) then
istk(il1)=4
istk(il1+1)=1
istk(il1+2)=1
istk(il1+3)=1-itrue
lstk(top+1)=sadr(il1+4)
return
endif
c des nom de variable
do 161 i=1,4
if(var1(i).ne.var2(i)) then
istk(il1)=4
istk(il1+1)=1
istk(il1+2)=1
istk(il1+3)=1-itrue
lstk(top+1)=sadr(il1+4)
return
endif
161 continue
c des dimensions
if(m1.eq.-1) then
c . eye op b
nn1=istk(id1+1)-1
il1w=iadr(lw)
lw=sadr(il1w+m2*n2)
err=lw+2-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
stk(lw)=0.0d0
stk(lw+1)=0.0d0
i2=id2
n2=abs(n2)
m2=abs(m2)
do 166 i=1,n2
do 165 j=1,m2
if (i.eq.j) then
if(nn1.ne.istk(i2+1)-istk(i2) ) goto 164
nl=nn1
l1=l1r-1
else
if(1.ne.istk(i2+1)-istk(i2) ) goto 164
l1=lw-1
nl=1
endif
l2=l2r+istk(i2)-2
do 162 ii=1,nl
if(stk(l1+ii).ne.stk(l2+ii)) goto 164
162 continue
if(max(it1,it2).eq.1) then
e1=0.0d+0
e2=0.0d+0
do 163 ii=1,nl
if(it1.eq.1) e1=stk(l1+nl+ii)
if(it2.eq.1) e2=stk(l2i+istk(i2)-2+ii)
if(e1.ne.e2) goto 164
163 continue
endif
i2=i2+1
istk(il1w-1+(j-1)*m2+i)=itrue
goto 165
164 continue
i2=i2+1
istk(il1w-1+(j-1)*m2+i)=1-itrue
165 continue
166 continue
istk(il1)=4
istk(il1+1)=m2
istk(il1+2)=n2
call icopy(m2*n2,istk(il1w),1,istk(il1+3),1)
lstk(top+1)=sadr(il1+3+m2*n2)
goto 999
elseif(m2.eq.-1) then
c . b op eye
nn2=istk(id2+1)-1
il1w=iadr(lw)
lw=sadr(il1w+m1*n1)
err=lw+2-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
stk(lw)=0.0d0
stk(lw+1)=0.0d0
i1=id1
do 176 i=1,n1
do 175 j=1,m1
if (i.eq.j) then
if(nn2.ne.istk(i1+1)-istk(i1) ) goto 174
nl=nn2
l2=l2r-1
else
if(1.ne.istk(i1+1)-istk(i1) ) goto 174
l2=lw-1
nl=1
endif
l1=l1r+istk(i1)-2
do 172 ii=1,nl
if(stk(l2+ii).ne.stk(l1+ii)) goto 174
172 continue
if(max(it1,it2).eq.1) then
e1=0.0d+0
e2=0.0d+0
do 173 ii=1,nl
if(it1.eq.1) e1=stk(l2+nl+ii)
if(it2.eq.1) e2=stk(l1i+istk(i1)-2+ii)
if(e1.ne.e2) goto 174
173 continue
endif
i1=i1+1
istk(il1w-1+(j-1)*m1+i)=itrue
goto 175
174 continue
i2=i2+1
istk(il1w-1+(j-1)*m1+i)=1-itrue
175 continue
176 continue
istk(il1)=4
istk(il1+1)=m1
istk(il1+2)=n1
call icopy(m1*n1,istk(il1w),1,istk(il1+3),1)
lstk(top+1)=sadr(il1+3+m1*n1)
goto 999
elseif(mn1.eq.1.and.mn2.gt.1) then
nn1=istk(id1+1)-1
err=lw+nn1*(it1+1)+2-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call unsfdcopy(nn1*(it1+1),stk(l1r),1,stk(lw),1)
l1r=lw
l1i=l1r+nn1
id1=iadr(l1r+nn1*(it1+1))
istk(id1)=1
istk(id1+1)=nn1+1
inc1=0
inc2=1
mn1=mn2
m1=m2
n1=n2
istk(il1+1)=m1
istk(il1+2)=n1
else if(mn2.eq.1.and.mn1.gt.1) then
nn2=istk(id2+1)-1
err=lw+nn2*(it2+1)+2-lstk(bot)
if(err.gt.0) then
call error(17)
return
endif
call unsfdcopy(nn2*(it2+1),stk(l2r),1,stk(lw),1)
l2r=lw
l2i=l2r+nn2
id2=iadr(l2r+nn2*(it2+1))
istk(id2)=1
istk(id2+1)=nn2+1
inc1=1
inc2=0
mn2=mn1
m2=m1
n2=n1
else if(n1.ne.n2.or.m1.ne.m2) then
istk(il1)=4
istk(il1+1)=1
istk(il1+2)=1
istk(il1+3)=1-itrue
lstk(top+1)=sadr(il1+4)
return
else
inc1=1
inc2=1
endif
c des valeurs
i1=id1-inc1
i2=id2-inc2
l1r=l1r-1
l2r=l2r-1
l1i=l1i-1
l2i=l2i-1
do 185 i=0,mn1-1
i1=i1+inc1
i2=i2+inc2
if(istk(i1+1)-istk(i1).ne.istk(i2+1)-istk(i2) ) goto 184
nl=istk(i1+1)-istk(i1)-1
do 182 ii=0,nl
if(stk(l1r+istk(i1)+ii).ne.stk(l2r+istk(i2)+ii)) goto 184
182 continue
istk(il1+3+i)=itrue
if(max(it1,it2).eq.0) goto 185
e1=0.0d+0
e2=0.0d+0
do 183 ii=0,nl
if(it1.eq.1) e1=stk(l1i+istk(i1)+ii)
if(it2.eq.1) e2=stk(l2i+istk(i2)+ii)
if(e1.ne.e2) goto 184
183 continue
istk(il1+3+i)=itrue
goto 185
184 istk(il1+3+i)=1-itrue
185 continue
istk(il1)=4
istk(il1+1)=m1
istk(il1+2)=n1
lstk(top+1)=sadr(il1+3+mn1)
goto 999
c
200 continue
c a [:b]:c
var1(1)=0
if(rhs.eq.3) then
il3=iadr(lstk(top))
if(istk(il3).lt.0) il3=iadr(istk(il3+1))
if(istk(il3).ne.1.and.istk(il3).ne.2) then
err=3
buf='Invalid indexing '
call error(1501)
return
endif
if(istk(il3+1).ne.1.or.istk(il3+2).ne.1.or.
$ istk(il3+3).ne.0) then
err=3
buf='Invalid indexing '
call error(1501)
return
endif
if(istk(il3).eq.1) then
n3=1
l3=sadr(il3+4)
else
n3=istk(il3+9)-1
l3=sadr(il3+10)
call icopy(4,istk(il3+4),1,var1,1)
endif
top=top-1
endif
if (rhs.ge.2) then
il2=iadr(lstk(top))
if(istk(il2).lt.0) il2=iadr(istk(il2+1))
if(istk(il2).ne.1.and.istk(il2).ne.2) then
err=2
buf='Invalid indexing '
call error(1501)
return
endif
if(istk(il2+1).ne.1.or.istk(il2+2).ne.1.or.
$ istk(il2+3).ne.0) then
err=2
buf='Invalid indexing '
call error(1501)
return
endif
if(istk(il2).eq.1) then
n2=1
l2=sadr(il2+4)
else
n2=istk(il2+9)-1
l2=sadr(il2+10)
if (var1(1).ne.0) then
if(var1(1).ne.istk(il2+4).or.var1(2).ne.istk(il2+5).or
$ .var1(3).ne.istk(il2+6).or.var1(4).ne.istk(il2+7))
$ then
err=2
buf='Invalid indexing '
call error(1501)
return
endif
else
call icopy(4,istk(il2+4),1,var1,1)
endif
endif
top=top-1
endif
il1=iadr(lstk(top))
if(istk(il1).lt.0) il1=iadr(istk(il1+1))
if(istk(il1).ne.1.and.istk(il1).ne.2) then
err=1
buf='Invalid indexing '
call error(1501)
return
endif
if(istk(il1+1).ne.1.or.istk(il1+2).ne.1.or.
$ istk(il1+3).ne.0) then
err=1
buf='Invalid indexing '
call error(1501)
return
endif
if(istk(il1).eq.1) then
n1=1
l1=sadr(il1+4)
else
n1=istk(il1+9)-1
l1=sadr(il1+10)
if (var1(1).ne.0) then
if(var1(1).ne.istk(il1+4).or.var1(2).ne.istk(il1+5).or.
$ var1(3).ne.istk(il1+6).or.var1(4).ne.istk(il1+7)) then
err=1
buf='Invalid indexing '
call error(1501)
return
endif
else
call icopy(4,istk(il1+4),1,var1,1)
endif
endif
if (rhs.eq.2) then
n3=n2
l3=l2
n2=1
l2=lw
stk(l2)=1
lw=lw+1
endif
call unsfdcopy(n1,stk(l1),1,stk(lw),1)
call unsfdcopy(n2,stk(l2),1,stk(lw+n1),1)
call unsfdcopy(n3,stk(l3),1,stk(lw+n1+n2),1)
il1=iadr(lstk(top))
istk(il1)=129
istk(il1+1)=1
istk(il1+2)=3
istk(il1+3)=0
call icopy(4,var1,1,istk(il1+4),1)
istk(il1+8)=1
istk(il1+9)=1+n1
istk(il1+10)=istk(il1+9)+n2
istk(il1+11)=istk(il1+10)+n3
l=sadr(il1+12)
call unsfdcopy(n1+n2+n3,stk(lw),1,stk(l),1)
lstk(top+1)=l+n1+n2+n3
c
999 return
end
|
