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c
c-----------------------------------------------------------------------
c subroutine: weave1
c this subroutine implements the different pre-weave
c modules of the wfta. the working arrays are sr and si.
c the routine checks to see which factors are present
c in the transform length n = na*nb*nc*nd and executes
c the pre-weave code for these factors.
c
c-----------------------------------------------------------------------
c
subroutine weave1(sr,si)
common na,nb,nc,nd,nd1,nd2,nd3,nd4
dimension q(8),t(16)
dimension sr(1),si(1)
if(na.eq.1) go to 300
if(na.ne.2) go to 800
c
c **********************************************************************
c
c the following code implements the 2 point pre-weave module
c
c **********************************************************************
c
nlup2=2*(nd2-nb)
nlup23=2*nd2*(nd3-nc)
nbase=1
do 240 n4=1,nd
do 230 n3=1,nc
do 220 n2=1,nb
nr1=nbase+1
t0=sr(nbase)+sr(nr1)
sr(nr1)=sr(nbase)-sr(nr1)
sr(nbase)=t0
t0=si(nbase)+si(nr1)
si(nr1)=si(nbase)-si(nr1)
si(nbase)=t0
220 nbase=nbase+2
230 nbase=nbase+nlup2
240 nbase=nbase+nlup23
800 if(na.ne.8) go to 1600
c
c **********************************************************************
c
c the following code implements the 8 point pre-weave module
c
c **********************************************************************
c
nlup2=8*(nd2-nb)
nlup23=8*nd2*(nd3-nc)
nbase=1
do 840 n4=1,nd
do 830 n3=1,nc
do 820 n2=1,nb
nr1=nbase+1
nr2=nr1+1
nr3=nr2+1
nr4=nr3+1
nr5=nr4+1
nr6=nr5+1
nr7=nr6+1
t3=sr(nr3)+sr(nr7)
t7=sr(nr3)-sr(nr7)
t0=sr(nbase)+sr(nr4)
sr(nr4)=sr(nbase)-sr(nr4)
t1=sr(nr1)+sr(nr5)
t5=sr(nr1)-sr(nr5)
t2=sr(nr2)+sr(nr6)
sr(nr6)=sr(nr2)-sr(nr6)
sr(nbase)=t0+t2
sr(nr2)=t0-t2
sr(nr1)=t1+t3
sr(nr3)=t1-t3
sr(nr5)=t5+t7
sr(nr7)=t5-t7
t3=si(nr3)+si(nr7)
t7=si(nr3)-si(nr7)
t0=si(nbase)+si(nr4)
si(nr4)=si(nbase)-si(nr4)
t1=si(nr1)+si(nr5)
t5=si(nr1)-si(nr5)
t2=si(nr2)+si(nr6)
si(nr6)=si(nr2)-si(nr6)
si(nbase)=t0+t2
si(nr2)=t0-t2
si(nr1)=t1+t3
si(nr3)=t1-t3
si(nr5)=t5+t7
si(nr7)=t5-t7
820 nbase=nbase+8
830 nbase=nbase+nlup2
840 nbase=nbase+nlup23
1600 if(na.ne.16) go to 300
c
c **********************************************************************
c
c the following code implements the 16 point pre-weave module
c
c **********************************************************************
c
nlup2=18*(nd2-nb)
nlup23=18*nd2*(nd3-nc)
nbase=1
do 1640 n4=1,nd
do 1630 n3=1,nc
do 1620 n2=1,nb
nr1=nbase+1
nr2=nr1+1
nr3=nr2+1
nr4=nr3+1
nr5=nr4+1
nr6=nr5+1
nr7=nr6+1
nr8=nr7+1
nr9=nr8+1
nr10=nr9+1
nr11=nr10+1
nr12=nr11+1
nr13=nr12+1
nr14=nr13+1
nr15=nr14+1
nr16=nr15+1
nr17=nr16+1
jbase=nbase
do 1645 j=1,8
t(j)=sr(jbase)+sr(jbase+8)
t(j+8)=sr(jbase)-sr(jbase+8)
jbase=jbase+1
1645 continue
do 1650 j=1,4
q(j)=t(j)+t(j+4)
q(j+4)=t(j)-t(j+4)
1650 continue
sr(nbase)=q(1)+q(3)
sr(nr2)=q(1)-q(3)
sr(nr1)=q(2)+q(4)
sr(nr3)=q(2)-q(4)
sr(nr5)=q(6)+q(8)
sr(nr7)=q(6)-q(8)
sr(nr4)=q(5)
sr(nr6)=q(7)
sr(nr8)=t(9)
sr(nr9)=t(10)+t(16)
sr(nr15)=t(10)-t(16)
sr(nr13)=t(14)+t(12)
sr(nr11)=t(14)-t(12)
sr(nr17)=sr(nr11)+sr(nr15)
sr(nr16)=sr(nr9)+sr(nr13)
sr(nr10)=t(11)+t(15)
sr(nr14)=t(11)-t(15)
sr(nr12)=t(13)
jbase=nbase
do 1745 j=1,8
t(j)=si(jbase)+si(jbase+8)
t(j+8)=si(jbase)-si(jbase+8)
jbase=jbase+1
1745 continue
do 1750 j=1,4
q(j)=t(j)+t(j+4)
q(j+4)=t(j)-t(j+4)
1750 continue
si(nbase)=q(1)+q(3)
si(nr2)=q(1)-q(3)
si(nr1)=q(2)+q(4)
si(nr3)=q(2)-q(4)
si(nr5)=q(6)+q(8)
si(nr7)=q(6)-q(8)
si(nr4)=q(5)
si(nr6)=q(7)
si(nr8)=t(9)
si(nr9)=t(10)+t(16)
si(nr15)=t(10)-t(16)
si(nr13)=t(14)+t(12)
si(nr11)=t(14)-t(12)
si(nr17)=si(nr11)+si(nr15)
si(nr16)=si(nr9)+si(nr13)
si(nr10)=t(11)+t(15)
si(nr14)=t(11)-t(15)
si(nr12)=t(13)
1620 nbase=nbase+18
1630 nbase=nbase+nlup2
1640 nbase=nbase+nlup23
300 if(nb.eq.1) go to 700
if(nb.ne.3) go to 900
c
c **********************************************************************
c
c the following code implements the 3 point pre-weave module
c
c **********************************************************************
c
nlup2=2*nd1
nlup23=3*nd1*(nd3-nc)
nbase=1
noff=nd1
do 340 n4=1,nd
do 330 n3=1,nc
do 310 n2=1,nd1
nr1=nbase+noff
nr2=nr1+noff
t1=sr(nr1)+sr(nr2)
sr(nbase)=sr(nbase)+t1
sr(nr2)=sr(nr1)-sr(nr2)
sr(nr1)=t1
t1=si(nr1)+si(nr2)
si(nbase)=si(nbase)+t1
si(nr2)=si(nr1)-si(nr2)
si(nr1)=t1
310 nbase=nbase+1
330 nbase=nbase+nlup2
340 nbase=nbase+nlup23
900 if(nb.ne.9) go to 700
c
c **********************************************************************
c
c the following code implements the 9 point pre-weave module
c
c **********************************************************************
c
nlup2=10*nd1
nlup23=11*nd1*(nd3-nc)
nbase=1
noff=nd1
do 940 n4=1,nd
do 930 n3=1,nc
do 910 n2=1,nd1
nr1=nbase+noff
nr2=nr1+noff
nr3=nr2+noff
nr4=nr3+noff
nr5=nr4+noff
nr6=nr5+noff
nr7=nr6+noff
nr8=nr7+noff
nr9=nr8+noff
nr10=nr9+noff
t3=sr(nr3)+sr(nr6)
t6=sr(nr3)-sr(nr6)
sr(nbase)=sr(nbase)+t3
t7=sr(nr7)+sr(nr2)
t2=sr(nr7)-sr(nr2)
sr(nr2)=t6
t1=sr(nr1)+sr(nr8)
t8=sr(nr1)-sr(nr8)
sr(nr1)=t3
t4=sr(nr4)+sr(nr5)
t5=sr(nr4)-sr(nr5)
sr(nr3)=t1+t4+t7
sr(nr4)=t1-t7
sr(nr5)=t4-t1
sr(nr6)=t7-t4
sr(nr10)=t2+t5+t8
sr(nr7)=t8-t2
sr(nr8)=t5-t8
sr(nr9)=t2-t5
t3=si(nr3)+si(nr6)
t6=si(nr3)-si(nr6)
si(nbase)=si(nbase)+t3
t7=si(nr7)+si(nr2)
t2=si(nr7)-si(nr2)
si(nr2)=t6
t1=si(nr1)+si(nr8)
t8=si(nr1)-si(nr8)
si(nr1)=t3
t4=si(nr4)+si(nr5)
t5=si(nr4)-si(nr5)
si(nr3)=t1+t4+t7
si(nr4)=t1-t7
si(nr5)=t4-t1
si(nr6)=t7-t4
si(nr10)=t2+t5+t8
si(nr7)=t8-t2
si(nr8)=t5-t8
si(nr9)=t2-t5
910 nbase=nbase+1
930 nbase=nbase+nlup2
940 nbase=nbase+nlup23
700 if(nc.ne.7) go to 500
c
c **********************************************************************
c
c the following code implements the 7 point pre-weave module
c
c **********************************************************************
c
noff=nd1*nd2
nbase=1
nlup2=8*noff
do 740 n4=1,nd
do 710 n1=1,noff
nr1=nbase+noff
nr2=nr1+noff
nr3=nr2+noff
nr4=nr3+noff
nr5=nr4+noff
nr6=nr5+noff
nr7=nr6+noff
nr8=nr7+noff
t1=sr(nr1)+sr(nr6)
t6=sr(nr1)-sr(nr6)
t4=sr(nr4)+sr(nr3)
t3=sr(nr4)-sr(nr3)
t2=sr(nr2)+sr(nr5)
t5=sr(nr2)-sr(nr5)
sr(nr5)=t6-t3
sr(nr2)=t5+t3+t6
sr(nr6)=t5-t6
sr(nr8)=t3-t5
sr(nr3)=t2-t1
sr(nr4)=t1-t4
sr(nr7)=t4-t2
t1=t1+t4+t2
sr(nbase)=sr(nbase)+t1
sr(nr1)=t1
t1=si(nr1)+si(nr6)
t6=si(nr1)-si(nr6)
t4=si(nr4)+si(nr3)
t3=si(nr4)-si(nr3)
t2=si(nr2)+si(nr5)
t5=si(nr2)-si(nr5)
si(nr5)=t6-t3
si(nr2)=t5+t3+t6
si(nr6)=t5-t6
si(nr8)=t3-t5
si(nr3)=t2-t1
si(nr4)=t1-t4
si(nr7)=t4-t2
t1=t1+t4+t2
si(nbase)=si(nbase)+t1
si(nr1)=t1
710 nbase=nbase+1
740 nbase=nbase+nlup2
500 if(nd.ne.5) return
c
c **********************************************************************
c
c the following code implements the 5 point pre-weave module
c
c **********************************************************************
c
noff=nd1*nd2*nd3
nbase=1
do 510 n1=1,noff
nr1=nbase+noff
nr2=nr1+noff
nr3=nr2+noff
nr4=nr3+noff
nr5=nr4+noff
t4=sr(nr1)-sr(nr4)
t1=sr(nr1)+sr(nr4)
t3=sr(nr3)+sr(nr2)
t2=sr(nr3)-sr(nr2)
sr(nr3)=t1-t3
sr(nr1)=t1+t3
sr(nbase)=sr(nbase)+sr(nr1)
sr(nr5)=t2+t4
sr(nr2)=t4
sr(nr4)=t2
t4=si(nr1)-si(nr4)
t1=si(nr1)+si(nr4)
t3=si(nr3)+si(nr2)
t2=si(nr3)-si(nr2)
si(nr3)=t1-t3
si(nr1)=t1+t3
si(nbase)=si(nbase)+si(nr1)
si(nr5)=t2+t4
si(nr2)=t4
si(nr4)=t2
510 nbase=nbase+1
return
end
|
