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rotproj_cmpl_dr.f
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rotproj_cmpl_dr.f
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implicit real *8 (a-h,o-z)
c
real *8 sqc(20 000)
real *8 rd1(10 000 000)
real *8 rd2(10 000 000)
complex *16 mpole(10 000 000)
complex *16 marray(10 000 000)
dimension w(10 000 000)
dimension errs(100 000)
c
lw=10 000 000
c
c initilialize print routines to unit numbers
c 6 and 13. This prints to screen and to fort.13.
c
call prini(6,13)
c
c set expansion length nterms
c
nterms=100
c
c create mutipole expansion
c
call mpoleinit(nterms,mpole)
c
c
c set rotation angle alpha
c
done=1
pi=4*atan(done)
alpha=pi/3
c
ntimes=10
c
c carry out rotation
c
call prinf('proj_test*',i,0)
call prinf('nterms=*',nterms,1)
call prin2('angle=*',alpha,1)
c
t1=second()
do k=1,ntimes
call rotviaproj(alpha,nterms,nterms,nterms,mpole,nterms,
$ marray,nterms,w,lw,lused)
enddo
t2=second()
call prin2('time/call=*',(t2-t1)/ntimes,1)
call prin2('speed=*',ntimes/(t2-t1),1)
c
ccc call prinm1(marray,nterms,nterms2)
c
c check precision by comparing norm of original and rotated
c expansions.
c
call mpolecheck(nterms,mpole,marray,errs)
call prin2('errors=*',errs,nterms+1)
c
stop
end
c
c
c
c
c
subroutine mpoleinit(nterms,mpole)
implicit real *8 (a-h,o-z)
complex *16 mpole(0:nterms,-nterms:nterms)
c
c initialize multipole expansion
c
itype=3
c
if( itype .eq. 1 ) then
do n=0,nterms
do m=-n,n
mpole(n,m)=0
enddo
mpole(n,0)=1
enddo
endif
c
if( itype .eq. 2 ) then
do n=0,nterms
do m=-n,n
mpole(n,m)=n+m
enddo
mpole(n,0)=1
enddo
endif
c
if( itype .eq. 3 ) then
do n=0,nterms
do m=-n,n
mpole(n,m)=1/sqrt(2*n+1.0d0)
enddo
enddo
endif
c
return
end
c
c
c
c
c
subroutine mpolecheck(nterms,mpole,marray,errs)
implicit real *8 (a-h,o-z)
complex *16 mpole(0:nterms,-nterms:nterms)
complex *16 marray(0:nterms,-nterms:nterms)
real *8 errs(0:nterms)
c
c check that norm is preserved under rotation
c
do n=0,nterms
d1=0
d2=0
do m=-n,n
d1=d1+mpole(n,m)*dconjg(mpole(n,m))
d2=d2+marray(n,m)*dconjg(marray(n,m))
enddo
d1=sqrt(d1/(2*n+1.0d0))
d2=sqrt(d2/(2*n+1.0d0))
errs(n)=d1-d2
enddo
c
return
end
c
c
c
C
C
C
C
SUBROUTINE PRINI(IP1,IQ1)
CHARACTER *1 MES(1), AA(1)
save
REAL *4 A(1)
REAL *8 A2(1)
ccc REAL *16 A4(1)
INTEGER *4 IA(1)
INTEGER *2 IA2(1)
IP=IP1
IQ=IQ1
RETURN
C
C
C
C
C
ENTRY PRIN(MES,A,N)
CALL MESSPR(MES,IP,IQ)
IF(IP.NE.0 .AND. N.NE.0) WRITE(IP,1200)(A(J),J=1,N)
IF(IQ.NE.0 .AND. N.NE.0) WRITE(IQ,1200)(A(J),J=1,N)
1200 FORMAT(6(2X,E11.5))
RETURN
C
C
C
C
ENTRY PRIN2(MES,A2,N)
CALL MESSPR(MES,IP,IQ)
IF(IP.NE.0 .AND. N.NE.0) WRITE(IP,1400)(A2(J),J=1,N)
IF(IQ.NE.0 .AND. N.NE.0) WRITE(IQ,1400)(A2(J),J=1,N)
1400 FORMAT(6(2X,E11.5))
RETURN
C
C
C
C
ccc ENTRY PRINQ(MES,A4,N)
ccc CALL MESSPR(MES,IP,IQ)
ccc IF(IP.NE.0 .AND. N.NE.0) WRITE(IP,1500)(A4(J),J=1,N)
ccc IF(IQ.NE.0 .AND. N.NE.0) WRITE(IQ,1500)(A4(J),J=1,N)
ccc 1500 FORMAT(6(2X,e11.5))
ccc RETURN
C
C
C
C
ENTRY PRINF(MES,IA,N)
CALL MESSPR(MES,IP,IQ)
IF(IP.NE.0 .AND. N.NE.0) WRITE(IP,1600)(IA(J),J=1,N)
IF(IQ.NE.0 .AND. N.NE.0) WRITE(IQ,1600)(IA(J),J=1,N)
1600 FORMAT(10(1X,I7))
RETURN
C
C
C
C
ENTRY PRINF2(MES,IA2,N)
CALL MESSPR(MES,IP,IQ)
IF(IP.NE.0 .AND. N.NE.0) WRITE(IP,1600)(IA2(J),J=1,N)
IF(IQ.NE.0 .AND. N.NE.0) WRITE(IQ,1600)(IA2(J),J=1,N)
RETURN
C
C
C
C
ENTRY PRINA(MES,AA,N)
CALL MESSPR(MES,IP,IQ)
2000 FORMAT(1X,80A1)
IF(IP.NE.0 .AND. N.NE.0) WRITE(IP,2000)(AA(J),J=1,N)
IF(IQ.NE.0 .AND. N.NE.0) WRITE(IQ,2000)(AA(J),J=1,N)
RETURN
END
c
c
c
c
c
SUBROUTINE MESSPR(MES,IP,IQ)
CHARACTER *1 MES(1),AST
DATA AST/'*'/
C
C DETERMINE THE LENGTH OF THE MESSAGE
C
I=0
DO 1400 I=1,10000
IF(MES(I).EQ.AST) GOTO 1600
I1=I
1400 CONTINUE
1600 CONTINUE
IF ( (I1.NE.0) .AND. (IP.NE.0) )
1 WRITE(IP,1800) (MES(I),I=1,I1)
IF ( (I1.NE.0) .AND. (IQ.NE.0) )
1 WRITE(IQ,1800) (MES(I),I=1,I1)
1800 FORMAT(1X,80A1)
RETURN
END
C
C
C
C
C
SUBROUTINE ZTIME(I)
J=1
J=7-I+J
CCCC I=MRUN(J)
RETURN
END
C
C
SUBROUTINE PRINM(MPOLE,NTERMS)
implicit real *8 (a-h,o-z)
real *8 MPOLE0(0:NTERMS,0:NTERMS)
COMPLEX *16 MPOLE(0:NTERMS,-nterms:NTERMS)
INTEGER NTERMS
C
C print out coefficients of multipole expansion
C
1000 FORMAT(6E12.5)
1001 FORMAT(/)
DO 100 L = 0,NTERMS
WRITE(6,1000)(MPOLE(L,M),M=-L,L)
WRITE(13,1000)(MPOLE(L,M),M=-L,L)
WRITE(6,1001)
WRITE(13,1001)
100 CONTINUE
return
C
C
C
C
ENTRY PRINM0(MPOLE0,NTERMS)
DO 200 L = 0,NTERMS
WRITE(6,1000)(MPOLE0(L,M),M=0,L)
WRITE(13,1000)(MPOLE0(L,M),M=0,L)
WRITE(6,1001)
WRITE(13,1001)
200 CONTINUE
c
RETURN
c
c
c
ENTRY PRINM1(MPOLE,NTERMS,NTERMS2)
DO 300 L = 0,NTERMS2
WRITE(6,1000)(MPOLE(L,M),M=-L,L)
WRITE(13,1000)(MPOLE(L,M),M=-L,L)
WRITE(6,1001)
WRITE(13,1001)
300 CONTINUE
c
RETURN
end
c
c