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|
C Copyright 1981-2007 ECMWF
C
C Licensed under the GNU Lesser General Public License which
C incorporates the terms and conditions of version 3 of the GNU
C General Public License.
C See LICENSE and gpl-3.0.txt for details.
C
C SUBROUTINE 'RPASSF' - PERFORMS ONE PASS THROUGH DATA AS PART
C OF MULTIPLE REAL FFT (FOURIER SYNTHESIS) ROUTINE
C
C A IS FIRST REAL INPUT VECTOR
C EQUIVALENCE B(1) WITH A (LA*INC1+1)
C C IS FIRST REAL OUTPUT VECTOR
C EQUIVALENCE D(1) WITH C(IFAC*LA*INC2+1)
C TRIGS IS A PRECALCULATED LIST OF SINES & COSINES
C INC1 IS THE ADDRESSING INCREMENT FOR A
C INC2 IS THE ADDRESSING INCREMENT FOR C
C INC3 IS THE INCREMENT BETWEEN INPUT VECTORS A
C INC4 IS THE INCREMENT BETWEEN OUTPUT VECTORS C
C LOT IS THE NUMBER OF VECTORS
C N IS THE LENGTH OF THE VECTORS
C IFAC IS THE CURRENT FACTOR OF N
C LA IS THE PRODUCT OF PREVIOUS FACTORS
C IERR IS AN ERROR INDICATOR:
C 0 - PASS COMPLETED WITHOUT ERROR
C 2 - IFAC NOT CATERED FOR
C 3 - IFAC ONLY CATERED FOR IF LA=N/IFAC
C LIPL=.T. => RESULTS ARE RETURNED TO INPUT ARRAY
C (ONLY VALID IF LA=N/IFAC, I.E. ON LAST PASS)
C
C-----------------------------------------------------------------------
C
SUBROUTINE RPASSF(A,B,C,D,TRIGS,INC1,INC2,INC3,INC4,LOT,N,IFAC,
* LA,IERR,LIPL)
DIMENSION A(N),B(N),C(N),D(N),TRIGS(N)
LOGICAL LIPL
C
DATA SIN36/0.587785252292473/,SIN72/0.951056516295154/,
* QRT5/0.559016994374947/,SIN60/0.866025403784437/
C
M=N/IFAC
IINK=LA*INC1
JINK=LA*INC2
JUMP=(IFAC-1)*JINK
KSTOP=(N-IFAC)/(2*IFAC)
C
IBASE=0
JBASE=0
IBAD=0
C
! Increase the vector length by fusing the loops if the
! data layout is appropriate:
IF (INC1.EQ.LOT.AND.INC2.EQ.LOT.AND.INC3.EQ.1.AND.INC4.EQ.1) THEN
ILA=1
ILOT=LA*LOT
INC21=LA*LOT
ELSE
ILA=LA
ILOT=LOT
INC21=INC2
ENDIF
C
IF (IFAC.EQ.2) THEN
C
C CODING FOR FACTOR 2
C -------------------
200 CONTINUE
IA=1
IB=IA+(2*M-LA)*INC1
JA=1
JB=JA+JINK
C
IF (LA.NE.M) THEN
C
DO 220 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 210 IJK=1,ILOT
C(JA+J)=A(IA+I)+A(IB+I)
C(JB+J)=A(IA+I)-A(IB+I)
I=I+INC3
J=J+INC4
210 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
220 CONTINUE
IA=IA+IINK
IINK=2*IINK
IB=IB-IINK
IBASE=0
JBASE=JBASE+JUMP
JUMP=2*JUMP+JINK
C
IF (IA.LT.IB) THEN
DO 250 K=LA,KSTOP,LA
KB=K+K
C1=TRIGS(KB+1)
S1=TRIGS(KB+2)
IBASE=0
DO 240 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 230 IJK=1,ILOT
C(JA+J)=A(IA+I)+A(IB+I)
D(JA+J)=B(IA+I)-B(IB+I)
C(JB+J)=C1*(A(IA+I)-A(IB+I))-S1*(B(IA+I)+B(IB+I))
D(JB+J)=S1*(A(IA+I)-A(IB+I))+C1*(B(IA+I)+B(IB+I))
I=I+INC3
J=J+INC4
230 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
240 CONTINUE
IA=IA+IINK
IB=IB-IINK
JBASE=JBASE+JUMP
250 CONTINUE
ENDIF
C
IF (IA.EQ.IB) THEN
IBASE=0
DO 280 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 270 IJK=1,ILOT
C(JA+J)=A(IA+I)
C(JB+J)=-B(IA+I)
I=I+INC3
J=J+INC4
270 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
280 CONTINUE
ENDIF
C
ELSE !!! Case LA=M
IF (LIPL) THEN
DO 294 L=1,ILA
I=IBASE
!OCL NOVREC
DO 292 IJK=1,ILOT
T1=2.0*(A(IA+I)-A(IB+I))
A(IA+I)=2.0*(A(IA+I)+A(IB+I))
A(IB+I)=T1
I=I+INC3
292 CONTINUE
IBASE=IBASE+INC1
294 CONTINUE
ELSE
DO 298 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 296 IJK=1,ILOT
C(JA+J)=2.0*(A(IA+I)+A(IB+I))
C(JB+J)=2.0*(A(IA+I)-A(IB+I))
I=I+INC3
J=J+INC4
296 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
298 CONTINUE
ENDIF
ENDIF
C
ELSEIF (IFAC.EQ.3) THEN
C
C CODING FOR FACTOR 3
C -------------------
300 CONTINUE
IA=1
IB=IA+(2*M-LA)*INC1
IC=IB
JA=1
JB=JA+JINK
JC=JB+JINK
C
IF (LA.NE.M) THEN
C
DO 320 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 310 IJK=1,ILOT
C(JA+J)=A(IA+I)+A(IB+I)
C(JB+J)=(A(IA+I)-0.5*A(IB+I))-(SIN60*(B(IB+I)))
C(JC+J)=(A(IA+I)-0.5*A(IB+I))+(SIN60*(B(IB+I)))
I=I+INC3
J=J+INC4
310 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
320 CONTINUE
IA=IA+IINK
IINK=2*IINK
IB=IB+IINK
IC=IC-IINK
JBASE=JBASE+JUMP
JUMP=2*JUMP+JINK
C
IF (IA.LT.IC) THEN
DO 350 K=LA,KSTOP,LA
KB=K+K
KC=KB+KB
C1=TRIGS(KB+1)
S1=TRIGS(KB+2)
C2=TRIGS(KC+1)
S2=TRIGS(KC+2)
IBASE=0
DO 340 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 330 IJK=1,ILOT
C(JA+J)=A(IA+I)+(A(IB+I)+A(IC+I))
D(JA+J)=B(IA+I)+(B(IB+I)-B(IC+I))
C(JB+J)=
* C1*((A(IA+I)-0.5*(A(IB+I)+A(IC+I)))-(SIN60*(B(IB+I)+B(IC+I))))
* -S1*((B(IA+I)-0.5*(B(IB+I)-B(IC+I)))+(SIN60*(A(IB+I)-A(IC+I))))
D(JB+J)=
* S1*((A(IA+I)-0.5*(A(IB+I)+A(IC+I)))-(SIN60*(B(IB+I)+B(IC+I))))
* +C1*((B(IA+I)-0.5*(B(IB+I)-B(IC+I)))+(SIN60*(A(IB+I)-A(IC+I))))
C(JC+J)=
* C2*((A(IA+I)-0.5*(A(IB+I)+A(IC+I)))+(SIN60*(B(IB+I)+B(IC+I))))
* -S2*((B(IA+I)-0.5*(B(IB+I)-B(IC+I)))-(SIN60*(A(IB+I)-A(IC+I))))
D(JC+J)=
* S2*((A(IA+I)-0.5*(A(IB+I)+A(IC+I)))+(SIN60*(B(IB+I)+B(IC+I))))
* +C2*((B(IA+I)-0.5*(B(IB+I)-B(IC+I)))-(SIN60*(A(IB+I)-A(IC+I))))
I=I+INC3
J=J+INC4
330 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
340 CONTINUE
IA=IA+IINK
IB=IB+IINK
IC=IC-IINK
JBASE=JBASE+JUMP
350 CONTINUE
ENDIF
C
IF (IA.EQ.IC) THEN
IBASE=0
DO 380 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 370 IJK=1,ILOT
C(JA+J)=A(IA+I)+A(IB+I)
C(JB+J)=(0.5*A(IA+I)-A(IB+I))-(SIN60*B(IA+I))
C(JC+J)=-(0.5*A(IA+I)-A(IB+I))-(SIN60*B(IA+I))
I=I+INC3
J=J+INC4
370 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
380 CONTINUE
ENDIF
C
ELSE !!! Case LA=M
SSIN60=2.0*SIN60
IF (LIPL) THEN
DO 394 L=1,ILA
I=IBASE
!OCL NOVREC
DO 392 IJK=1,ILOT
T1=(2.0*A(IA+I)-A(IB+I))-(SSIN60*B(IB+I))
T2=(2.0*A(IA+I)-A(IB+I))+(SSIN60*B(IB+I))
A(IA+I)=2.0*(A(IA+I)+A(IB+I))
A(IB+I)=T1
B(IB+I)=T2
I=I+INC3
392 CONTINUE
IBASE=IBASE+INC1
394 CONTINUE
ELSE
DO 398 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 396 IJK=1,ILOT
C(JA+J)=2.0*(A(IA+I)+A(IB+I))
C(JB+J)=(2.0*A(IA+I)-A(IB+I))-(SSIN60*B(IB+I))
C(JC+J)=(2.0*A(IA+I)-A(IB+I))+(SSIN60*B(IB+I))
I=I+INC3
J=J+INC4
396 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
398 CONTINUE
ENDIF
ENDIF
C
ELSEIF (IFAC.EQ.4) THEN
C
C CODING FOR FACTOR 4
C -------------------
400 CONTINUE
IA=1
IB=IA+(2*M-LA)*INC1
IC=IB+2*M*INC1
ID=IB
JA=1
JB=JA+JINK
JC=JB+JINK
JD=JC+JINK
C
IF (LA.NE.M) THEN
C
DO 420 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 410 IJK=1,ILOT
C(JA+J)=(A(IA+I)+A(IC+I))+A(IB+I)
C(JB+J)=(A(IA+I)-A(IC+I))-B(IB+I)
C(JC+J)=(A(IA+I)+A(IC+I))-A(IB+I)
C(JD+J)=(A(IA+I)-A(IC+I))+B(IB+I)
I=I+INC3
J=J+INC4
410 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
420 CONTINUE
IA=IA+IINK
IINK=2*IINK
IB=IB+IINK
IC=IC-IINK
ID=ID-IINK
JBASE=JBASE+JUMP
JUMP=2*JUMP+JINK
C
IF (IB.LT.IC) THEN
DO 450 K=LA,KSTOP,LA
KB=K+K
KC=KB+KB
KD=KC+KB
C1=TRIGS(KB+1)
S1=TRIGS(KB+2)
C2=TRIGS(KC+1)
S2=TRIGS(KC+2)
C3=TRIGS(KD+1)
S3=TRIGS(KD+2)
IBASE=0
DO 440 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 430 IJK=1,ILOT
C(JA+J)=(A(IA+I)+A(IC+I))+(A(IB+I)+A(ID+I))
D(JA+J)=(B(IA+I)-B(IC+I))+(B(IB+I)-B(ID+I))
C(JC+J)=
* C2*((A(IA+I)+A(IC+I))-(A(IB+I)+A(ID+I)))
* -S2*((B(IA+I)-B(IC+I))-(B(IB+I)-B(ID+I)))
D(JC+J)=
* S2*((A(IA+I)+A(IC+I))-(A(IB+I)+A(ID+I)))
* +C2*((B(IA+I)-B(IC+I))-(B(IB+I)-B(ID+I)))
C(JB+J)=
* C1*((A(IA+I)-A(IC+I))-(B(IB+I)+B(ID+I)))
* -S1*((B(IA+I)+B(IC+I))+(A(IB+I)-A(ID+I)))
D(JB+J)=
* S1*((A(IA+I)-A(IC+I))-(B(IB+I)+B(ID+I)))
* +C1*((B(IA+I)+B(IC+I))+(A(IB+I)-A(ID+I)))
C(JD+J)=
* C3*((A(IA+I)-A(IC+I))+(B(IB+I)+B(ID+I)))
* -S3*((B(IA+I)+B(IC+I))-(A(IB+I)-A(ID+I)))
D(JD+J)=
* S3*((A(IA+I)-A(IC+I))+(B(IB+I)+B(ID+I)))
* +C3*((B(IA+I)+B(IC+I))-(A(IB+I)-A(ID+I)))
I=I+INC3
J=J+INC4
430 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
440 CONTINUE
IA=IA+IINK
IB=IB+IINK
IC=IC-IINK
ID=ID-IINK
JBASE=JBASE+JUMP
450 CONTINUE
ENDIF
C
IF (IB.EQ.IC) THEN
IBASE=0
SIN45=SQRT(0.5)
DO 480 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 470 IJK=1,ILOT
C(JA+J)=A(IA+I)+A(IB+I)
C(JB+J)=SIN45*((A(IA+I)-A(IB+I))-(B(IA+I)+B(IB+I)))
C(JC+J)=B(IB+I)-B(IA+I)
C(JD+J)=-SIN45*((A(IA+I)-A(IB+I))+(B(IA+I)+B(IB+I)))
I=I+INC3
J=J+INC4
470 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
480 CONTINUE
ENDIF
C
ELSE !!! Case LA=M
IF (LIPL) THEN
DO 494 L=1,ILA
I=IBASE
!OCL NOVREC
DO 492 IJK=1,ILOT
T1=2.0*((A(IA+I)-A(IC+I))-B(IB+I))
T2=2.0*((A(IA+I)+A(IC+I))-A(IB+I))
T3=2.0*((A(IA+I)-A(IC+I))+B(IB+I))
A(IA+I)=2.0*((A(IA+I)+A(IC+I))+A(IB+I))
A(IB+I)=T1
B(IB+I)=T2
A(IC+I)=T3
I=I+INC3
492 CONTINUE
IBASE=IBASE+INC1
494 CONTINUE
ELSE
DO 498 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 496 IJK=1,ILOT
C(JA+J)=2.0*((A(IA+I)+A(IC+I))+A(IB+I))
C(JB+J)=2.0*((A(IA+I)-A(IC+I))-B(IB+I))
C(JC+J)=2.0*((A(IA+I)+A(IC+I))-A(IB+I))
C(JD+J)=2.0*((A(IA+I)-A(IC+I))+B(IB+I))
I=I+INC3
J=J+INC4
496 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
498 CONTINUE
ENDIF
ENDIF
C
ELSEIF (IFAC.EQ.5) THEN
C
C CODING FOR FACTOR 5
C -------------------
500 CONTINUE
IA=1
IB=IA+(2*M-LA)*INC1
IC=IB+2*M*INC1
ID=IC
IE=IB
JA=1
JB=JA+JINK
JC=JB+JINK
JD=JC+JINK
JE=JD+JINK
C
IF (LA.NE.M) THEN
C
DO 520 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 510 IJK=1,ILOT
C(JA+J)=A(IA+I)+(A(IB+I)+A(IC+I))
C(JB+J)=((A(IA+I)-0.25*(A(IB+I)+A(IC+I)))+QRT5*(A(IB+I)-A(IC+I)))
* -(SIN72*B(IB+I)+SIN36*B(IC+I))
C(JC+J)=((A(IA+I)-0.25*(A(IB+I)+A(IC+I)))-QRT5*(A(IB+I)-A(IC+I)))
* -(SIN36*B(IB+I)-SIN72*B(IC+I))
C(JD+J)=((A(IA+I)-0.25*(A(IB+I)+A(IC+I)))-QRT5*(A(IB+I)-A(IC+I)))
* +(SIN36*B(IB+I)-SIN72*B(IC+I))
C(JE+J)=((A(IA+I)-0.25*(A(IB+I)+A(IC+I)))+QRT5*(A(IB+I)-A(IC+I)))
* +(SIN72*B(IB+I)+SIN36*B(IC+I))
I=I+INC3
J=J+INC4
510 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
520 CONTINUE
IA=IA+IINK
IINK=2*IINK
IB=IB+IINK
IC=IC+IINK
ID=ID-IINK
IE=IE-IINK
JBASE=JBASE+JUMP
JUMP=2*JUMP+JINK
C
IF (IB.LT.ID) THEN
DO 550 K=LA,KSTOP,LA
KB=K+K
KC=KB+KB
KD=KC+KB
KE=KD+KB
C1=TRIGS(KB+1)
S1=TRIGS(KB+2)
C2=TRIGS(KC+1)
S2=TRIGS(KC+2)
C3=TRIGS(KD+1)
S3=TRIGS(KD+2)
C4=TRIGS(KE+1)
S4=TRIGS(KE+2)
IBASE=0
DO 540 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 530 IJK=1,ILOT
C
A10=(A(IA+I)-0.25*((A(IB+I)+A(IE+I))+(A(IC+I)+A(ID+I))))
* +QRT5*((A(IB+I)+A(IE+I))-(A(IC+I)+A(ID+I)))
A20=(A(IA+I)-0.25*((A(IB+I)+A(IE+I))+(A(IC+I)+A(ID+I))))
* -QRT5*((A(IB+I)+A(IE+I))-(A(IC+I)+A(ID+I)))
B10=(B(IA+I)-0.25*((B(IB+I)-B(IE+I))+(B(IC+I)-B(ID+I))))
* +QRT5*((B(IB+I)-B(IE+I))-(B(IC+I)-B(ID+I)))
B20=(B(IA+I)-0.25*((B(IB+I)-B(IE+I))+(B(IC+I)-B(ID+I))))
* -QRT5*((B(IB+I)-B(IE+I))-(B(IC+I)-B(ID+I)))
A11=SIN72*(B(IB+I)+B(IE+I))+SIN36*(B(IC+I)+B(ID+I))
A21=SIN36*(B(IB+I)+B(IE+I))-SIN72*(B(IC+I)+B(ID+I))
B11=SIN72*(A(IB+I)-A(IE+I))+SIN36*(A(IC+I)-A(ID+I))
B21=SIN36*(A(IB+I)-A(IE+I))-SIN72*(A(IC+I)-A(ID+I))
C
C(JA+J)=A(IA+I)+((A(IB+I)+A(IE+I))+(A(IC+I)+A(ID+I)))
D(JA+J)=B(IA+I)+((B(IB+I)-B(IE+I))+(B(IC+I)-B(ID+I)))
C(JB+J)=C1*(A10-A11)-S1*(B10+B11)
D(JB+J)=S1*(A10-A11)+C1*(B10+B11)
C(JE+J)=C4*(A10+A11)-S4*(B10-B11)
D(JE+J)=S4*(A10+A11)+C4*(B10-B11)
C(JC+J)=C2*(A20-A21)-S2*(B20+B21)
D(JC+J)=S2*(A20-A21)+C2*(B20+B21)
C(JD+J)=C3*(A20+A21)-S3*(B20-B21)
D(JD+J)=S3*(A20+A21)+C3*(B20-B21)
C
I=I+INC3
J=J+INC4
530 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
540 CONTINUE
IA=IA+IINK
IB=IB+IINK
IC=IC+IINK
ID=ID-IINK
IE=IE-IINK
JBASE=JBASE+JUMP
550 CONTINUE
ENDIF
C
IF (IB.EQ.ID) THEN
IBASE=0
DO 580 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 570 IJK=1,ILOT
C(JA+J)=(A(IA+I)+A(IB+I))+A(IC+I)
C(JB+J)=(QRT5*(A(IA+I)-A(IB+I))+(0.25*(A(IA+I)+A(IB+I))-A(IC+I)))
* -(SIN36*B(IA+I)+SIN72*B(IB+I))
C(JE+J)=-(QRT5*(A(IA+I)-A(IB+I))+(0.25*(A(IA+I)+A(IB+I))-A(IC+I)))
* -(SIN36*B(IA+I)+SIN72*B(IB+I))
C(JC+J)=(QRT5*(A(IA+I)-A(IB+I))-(0.25*(A(IA+I)+A(IB+I))-A(IC+I)))
* -(SIN72*B(IA+I)-SIN36*B(IB+I))
C(JD+J)=-(QRT5*(A(IA+I)-A(IB+I))-(0.25*(A(IA+I)+A(IB+I))-A(IC+I)))
* -(SIN72*B(IA+I)-SIN36*B(IB+I))
I=I+INC3
J=J+INC4
570 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
580 CONTINUE
ENDIF
C
ELSE !!! Case LA=M
QQRT5=2.0*QRT5
SSIN36=2.0*SIN36
SSIN72=2.0*SIN72
IF (LIPL) THEN
DO 594 L=1,ILA
I=IBASE
!OCL NOVREC
DO 592 IJK=1,ILOT
T1=(2.0*(A(IA+I)-0.25*(A(IB+I)+A(IC+I)))
* +QQRT5*(A(IB+I)-A(IC+I)))-(SSIN72*B(IB+I)+SSIN36*B(IC+I))
T2=(2.0*(A(IA+I)-0.25*(A(IB+I)+A(IC+I)))
* -QQRT5*(A(IB+I)-A(IC+I)))-(SSIN36*B(IB+I)-SSIN72*B(IC+I))
T3=(2.0*(A(IA+I)-0.25*(A(IB+I)+A(IC+I)))
* -QQRT5*(A(IB+I)-A(IC+I)))+(SSIN36*B(IB+I)-SSIN72*B(IC+I))
T4=(2.0*(A(IA+I)-0.25*(A(IB+I)+A(IC+I)))
* +QQRT5*(A(IB+I)-A(IC+I)))+(SSIN72*B(IB+I)+SSIN36*B(IC+I))
A(IA+I)=2.0*(A(IA+I)+(A(IB+I)+A(IC+I)))
A(IB+I)=T1
B(IB+I)=T2
A(IC+I)=T3
B(IC+I)=T4
I=I+INC3
592 CONTINUE
IBASE=IBASE+INC1
594 CONTINUE
ELSE
DO 598 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 596 IJK=1,ILOT
C(JA+J)=2.0*(A(IA+I)+(A(IB+I)+A(IC+I)))
C(JB+J)=(2.0*(A(IA+I)-0.25*(A(IB+I)+A(IC+I)))
* +QQRT5*(A(IB+I)-A(IC+I)))-(SSIN72*B(IB+I)+SSIN36*B(IC+I))
C(JC+J)=(2.0*(A(IA+I)-0.25*(A(IB+I)+A(IC+I)))
* -QQRT5*(A(IB+I)-A(IC+I)))-(SSIN36*B(IB+I)-SSIN72*B(IC+I))
C(JD+J)=(2.0*(A(IA+I)-0.25*(A(IB+I)+A(IC+I)))
* -QQRT5*(A(IB+I)-A(IC+I)))+(SSIN36*B(IB+I)-SSIN72*B(IC+I))
C(JE+J)=(2.0*(A(IA+I)-0.25*(A(IB+I)+A(IC+I)))
* +QQRT5*(A(IB+I)-A(IC+I)))+(SSIN72*B(IB+I)+SSIN36*B(IC+I))
I=I+INC3
J=J+INC4
596 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
598 CONTINUE
ENDIF
ENDIF
C
ELSEIF (IFAC.EQ.6) THEN
C
C CODING FOR FACTOR 6
C -------------------
600 CONTINUE
IA=1
IB=IA+(2*M-LA)*INC1
IC=IB+2*M*INC1
ID=IC+2*M*INC1
IE=IC
IF=IB
JA=1
JB=JA+JINK
JC=JB+JINK
JD=JC+JINK
JE=JD+JINK
JF=JE+JINK
C
IF (LA.NE.M) THEN
C
DO 620 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 610 IJK=1,ILOT
C(JA+J)=(A(IA+I)+A(ID+I))+(A(IB+I)+A(IC+I))
C(JD+J)=(A(IA+I)-A(ID+I))-(A(IB+I)-A(IC+I))
C(JB+J)=((A(IA+I)-A(ID+I))+0.5*(A(IB+I)-A(IC+I)))
* -(SIN60*(B(IB+I)+B(IC+I)))
C(JF+J)=((A(IA+I)-A(ID+I))+0.5*(A(IB+I)-A(IC+I)))
* +(SIN60*(B(IB+I)+B(IC+I)))
C(JC+J)=((A(IA+I)+A(ID+I))-0.5*(A(IB+I)+A(IC+I)))
* -(SIN60*(B(IB+I)-B(IC+I)))
C(JE+J)=((A(IA+I)+A(ID+I))-0.5*(A(IB+I)+A(IC+I)))
* +(SIN60*(B(IB+I)-B(IC+I)))
I=I+INC3
J=J+INC4
610 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
620 CONTINUE
IA=IA+IINK
IINK=2*IINK
IB=IB+IINK
IC=IC+IINK
ID=ID-IINK
IE=IE-IINK
IF=IF-IINK
JBASE=JBASE+JUMP
JUMP=2*JUMP+JINK
C
IF (IC.LT.ID) THEN
DO 650 K=LA,KSTOP,LA
KB=K+K
KC=KB+KB
KD=KC+KB
KE=KD+KB
KF=KE+KB
C1=TRIGS(KB+1)
S1=TRIGS(KB+2)
C2=TRIGS(KC+1)
S2=TRIGS(KC+2)
C3=TRIGS(KD+1)
S3=TRIGS(KD+2)
C4=TRIGS(KE+1)
S4=TRIGS(KE+2)
C5=TRIGS(KF+1)
S5=TRIGS(KF+2)
IBASE=0
DO 640 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 630 IJK=1,ILOT
C
A11= (A(IE+I)+A(IB+I))+(A(IC+I)+A(IF+I))
A20=(A(IA+I)+A(ID+I))-0.5*A11
A21=SIN60*((A(IE+I)+A(IB+I))-(A(IC+I)+A(IF+I)))
B11= (B(IB+I)-B(IE+I))+(B(IC+I)-B(IF+I))
B20=(B(IA+I)-B(ID+I))-0.5*B11
B21=SIN60*((B(IB+I)-B(IE+I))-(B(IC+I)-B(IF+I)))
C
C(JA+J)=(A(IA+I)+A(ID+I))+A11
D(JA+J)=(B(IA+I)-B(ID+I))+B11
C(JC+J)=C2*(A20-B21)-S2*(B20+A21)
D(JC+J)=S2*(A20-B21)+C2*(B20+A21)
C(JE+J)=C4*(A20+B21)-S4*(B20-A21)
D(JE+J)=S4*(A20+B21)+C4*(B20-A21)
C
A11=(A(IE+I)-A(IB+I))+(A(IC+I)-A(IF+I))
B11=(B(IE+I)+B(IB+I))-(B(IC+I)+B(IF+I))
A20=(A(IA+I)-A(ID+I))-0.5*A11
A21=SIN60*((A(IE+I)-A(IB+I))-(A(IC+I)-A(IF+I)))
B20=(B(IA+I)+B(ID+I))+0.5*B11
B21=SIN60*((B(IE+I)+B(IB+I))+(B(IC+I)+B(IF+I)))
C
C(JD+J)=
* C3*((A(IA+I)-A(ID+I))+A11)-S3*((B(IA+I)+B(ID+I))-B11)
D(JD+J)=
* S3*((A(IA+I)-A(ID+I))+A11)+C3*((B(IA+I)+B(ID+I))-B11)
C(JB+J)=C1*(A20-B21)-S1*(B20-A21)
D(JB+J)=S1*(A20-B21)+C1*(B20-A21)
C(JF+J)=C5*(A20+B21)-S5*(B20+A21)
D(JF+J)=S5*(A20+B21)+C5*(B20+A21)
C
I=I+INC3
J=J+INC4
630 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
640 CONTINUE
IA=IA+IINK
IB=IB+IINK
IC=IC+IINK
ID=ID-IINK
IE=IE-IINK
IF=IF-IINK
JBASE=JBASE+JUMP
650 CONTINUE
ENDIF
C
IF (IC.EQ.ID) THEN
IBASE=0
DO 680 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 670 IJK=1,ILOT
C(JA+J)=A(IB+I)+(A(IA+I)+A(IC+I))
C(JD+J)=B(IB+I)-(B(IA+I)+B(IC+I))
C(JB+J)=(SIN60*(A(IA+I)-A(IC+I)))-(0.5*(B(IA+I)+B(IC+I))+B(IB+I))
C(JF+J)=-(SIN60*(A(IA+I)-A(IC+I)))-(0.5*(B(IA+I)+B(IC+I))+B(IB+I))
C(JC+J)=SIN60*(B(IC+I)-B(IA+I))+(0.5*(A(IA+I)+A(IC+I))-A(IB+I))
C(JE+J)=SIN60*(B(IC+I)-B(IA+I))-(0.5*(A(IA+I)+A(IC+I))-A(IB+I))
I=I+INC3
J=J+INC4
670 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
680 CONTINUE
ENDIF
C
ELSE !!! Case LA=M
SSIN60=2.0*SIN60
IF (LIPL) THEN
DO 694 L=1,ILA
I=IBASE
!OCL NOVREC
DO 692 IJK=1,ILOT
T1=(2.0*(A(IA+I)-A(ID+I))+(A(IB+I)-A(IC+I)))
* -(SSIN60*(B(IB+I)+B(IC+I)))
T5=(2.0*(A(IA+I)-A(ID+I))+(A(IB+I)-A(IC+I)))
* +(SSIN60*(B(IB+I)+B(IC+I)))
T2=(2.0*(A(IA+I)+A(ID+I))-(A(IB+I)+A(IC+I)))
* -(SSIN60*(B(IB+I)-B(IC+I)))
T4=(2.0*(A(IA+I)+A(ID+I))-(A(IB+I)+A(IC+I)))
* +(SSIN60*(B(IB+I)-B(IC+I)))
T3=(2.0*(A(IA+I)-A(ID+I)))-(2.0*(A(IB+I)-A(IC+I)))
A(IA+I)=(2.0*(A(IA+I)+A(ID+I)))+(2.0*(A(IB+I)+A(IC+I)))
A(IB+I)=T1
B(IB+I)=T2
A(IC+I)=T3
B(IC+I)=T4
A(ID+I)=T5
I=I+INC3
692 CONTINUE
IBASE=IBASE+INC1
694 CONTINUE
ELSE
DO 698 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 696 IJK=1,ILOT
C(JA+J)=(2.0*(A(IA+I)+A(ID+I)))+(2.0*(A(IB+I)+A(IC+I)))
C(JD+J)=(2.0*(A(IA+I)-A(ID+I)))-(2.0*(A(IB+I)-A(IC+I)))
C(JB+J)=(2.0*(A(IA+I)-A(ID+I))+(A(IB+I)-A(IC+I)))
* -(SSIN60*(B(IB+I)+B(IC+I)))
C(JF+J)=(2.0*(A(IA+I)-A(ID+I))+(A(IB+I)-A(IC+I)))
* +(SSIN60*(B(IB+I)+B(IC+I)))
C(JC+J)=(2.0*(A(IA+I)+A(ID+I))-(A(IB+I)+A(IC+I)))
* -(SSIN60*(B(IB+I)-B(IC+I)))
C(JE+J)=(2.0*(A(IA+I)+A(ID+I))-(A(IB+I)+A(IC+I)))
* +(SSIN60*(B(IB+I)-B(IC+I)))
I=I+INC3
J=J+INC4
696 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
698 CONTINUE
ENDIF
ENDIF
C
ELSEIF (IFAC.EQ.8) THEN
C
C CODING FOR FACTOR 8
C -------------------
800 CONTINUE
IF (LA.NE.M) THEN
IBAD=3
ELSE
IA=1
IB=IA+LA*INC1
IC=IB+2*LA*INC1
ID=IC+2*LA*INC1
IE=ID+2*LA*INC1
JA=1
JB=JA+JINK
JC=JB+JINK
JD=JC+JINK
JE=JD+JINK
JF=JE+JINK
JG=JF+JINK
JH=JG+JINK
SSIN45=SQRT(2.0)
C
IF (LIPL) THEN
DO 820 L=1,ILA
I=IBASE
!OCL NOVREC
DO 810 IJK=1,ILOT
T2=2.0*(((A(IA+I)+A(IE+I))-A(IC+I))-(B(IB+I)-B(ID+I)))
T6=2.0*(((A(IA+I)+A(IE+I))-A(IC+I))+(B(IB+I)-B(ID+I)))
T1=2.0*((A(IA+I)-A(IE+I))-B(IC+I))
* +SSIN45*((A(IB+I)-A(ID+I))-(B(IB+I)+B(ID+I)))
T5=2.0*((A(IA+I)-A(IE+I))-B(IC+I))
* -SSIN45*((A(IB+I)-A(ID+I))-(B(IB+I)+B(ID+I)))
T3=2.0*((A(IA+I)-A(IE+I))+B(IC+I))
* -SSIN45*((A(IB+I)-A(ID+I))+(B(IB+I)+B(ID+I)))
T7=2.0*((A(IA+I)-A(IE+I))+B(IC+I))
* +SSIN45*((A(IB+I)-A(ID+I))+(B(IB+I)+B(ID+I)))
T4=2.0*(((A(IA+I)+A(IE+I))+A(IC+I))-(A(IB+I)+A(ID+I)))
A(IA+I)=2.0*(((A(IA+I)+A(IE+I))+A(IC+I))+(A(IB+I)+A(ID+I)))
A(IB+I)=T1
B(IB+I)=T2
A(IC+I)=T3
B(IC+I)=T4
A(ID+I)=T5
B(ID+I)=T6
A(IE+I)=T7
I=I+INC3
810 CONTINUE
IBASE=IBASE+INC1
820 CONTINUE
ELSE
DO 840 L=1,ILA
I=IBASE
J=JBASE
!OCL NOVREC
DO 830 IJK=1,ILOT
C(JA+J)=2.0*(((A(IA+I)+A(IE+I))+A(IC+I))+(A(IB+I)+A(ID+I)))
C(JE+J)=2.0*(((A(IA+I)+A(IE+I))+A(IC+I))-(A(IB+I)+A(ID+I)))
C(JC+J)=2.0*(((A(IA+I)+A(IE+I))-A(IC+I))-(B(IB+I)-B(ID+I)))
C(JG+J)=2.0*(((A(IA+I)+A(IE+I))-A(IC+I))+(B(IB+I)-B(ID+I)))
C(JB+J)=2.0*((A(IA+I)-A(IE+I))-B(IC+I))
* +SSIN45*((A(IB+I)-A(ID+I))-(B(IB+I)+B(ID+I)))
C(JF+J)=2.0*((A(IA+I)-A(IE+I))-B(IC+I))
* -SSIN45*((A(IB+I)-A(ID+I))-(B(IB+I)+B(ID+I)))
C(JD+J)=2.0*((A(IA+I)-A(IE+I))+B(IC+I))
* -SSIN45*((A(IB+I)-A(ID+I))+(B(IB+I)+B(ID+I)))
C(JH+J)=2.0*((A(IA+I)-A(IE+I))+B(IC+I))
* +SSIN45*((A(IB+I)-A(ID+I))+(B(IB+I)+B(ID+I)))
I=I+INC3
J=J+INC4
830 CONTINUE
IBASE=IBASE+INC1
JBASE=JBASE+INC21
840 CONTINUE
ENDIF
C
ENDIF
C
ELSE
C
IBAD=2 !!! Illegal factor
C
ENDIF
C
C RETURN
C ------
900 CONTINUE
IERR=IBAD
RETURN
END
|
