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SUBROUTINE IFT
C
C INVERSE FOURIER TRANSFORM MODULE (IFT)
C
C DMAP CALLING SEQ.
C
C IFT UHVF,CASECC,TRL,FOL/UHVT,TOL/C,Y,IFTM
C
INTEGER SYSBUF, IZ(1),UHVF,UHVT,CASECC,TRL,TOL,FOL,NAME(2),
1 MCB(7),FILE,MCB1(7)
COMMON /SYSTEM/SYSBUF,NOUT
COMMON /PACKX/IT1,IT2,II,JJ,INCR
COMMON /UNPAKX/IT3,II1,JJ1,INCR1
COMMON /CONDAS/ PHI,TWOPI
COMMON /ZZZZZZ/ Z(1)
COMMON /BLANK/ IFTM
EQUIVALENCE (Z(1),IZ(1))
DATA UHVF,CASECC,TRL,FOL,UHVT,TOL/101,102,103,104,201,202/
DATA NAME /4HIFT , 1H /
C
C VARIABLE CORE
C
C CONTENT LENGTH POINTER
C ------- ------ -------
C FOL NFREQ IFREQ
C TSTEP NGROUP*3 ITSTP
C UHVF NMODES*NFREQ*2 IUHVF
C CK NBIG ICK
C SK NBIG ISK
C UDOT NMODES*NFREW*2 IUDOT
C UHVT NMODES IUVT
C
C
C
C PUT FOL INTO CORE
C
NZ = KORSZ(IZ)
IBUF1 = NZ-SYSBUF+1
IBUF2 = IBUF1-SYSBUF
NZ = NZ-2*SYSBUF
FILE = FOL
CALL OPEN(*900,FOL,IZ(IBUF1),0)
CALL FREAD(FOL ,IZ,-2,0)
CALL READ(*910,*10,FOL,IZ,NZ,0,NFREQ)
CALL MESAGE(-8,0,NAME)
10 CALL CLOSE(FOL ,1)
IFREQ = 1
NZ = NZ-NFREQ
ITSTP=NFREQ+1
C
C DEFINE BASIC SIZES
C
MCB(1) = UHVF
CALL RDTRL(MCB)
NLOAD = MCB(2)/NFREQ
NMODES = MCB(3)
MCB(1) = UHVT
MCB(2) = 0
MCB(5) = 1
MCB(6) = 0
MCB(7) = 0
K = NFREQ + 2*(NMODES*NFREQ*2) + NMODES
IF(K .GT. NZ) CALL MESAGE(-8,0,NAME)
C
C DETERMINE IF EQUAL FREQ - CONVERT TO W'S
C
DELW = Z(IFREQ+1)-Z(IFREQ)
EPSI = DELW*1.E-6
J = NFREQ-1
IEQUAL = 1
DO 20 I=1,J
M = IFREQ+I-1
IF( ABS(Z(M+1)-Z(M)-DELW) .GE. EPSI) IEQUAL = 0
Z(M) = Z(M)*TWOPI
20 CONTINUE
Z(IFREQ+NFREQ-1) = Z(IFREQ+NFREQ-1)*TWOPI
DELW = DELW*TWOPI
C
C FIRST FREQUENCY MUST BE MULTIPLE OF DELW
C
NBIG = ABS(Z(IFREQ)/DELW)+.1
IF(ABS(FLOAT(NBIG)*DELW-ABS(Z(IFREQ))) .GT. EPSI) IEQUAL = 0
LLL = NBIG -1
C
C FIND TSTEP IN TRL
C
CALL GOPEN(CASECC,IZ(IBUF1),0)
CALL FREAD(CASECC,0,-37,0)
CALL FREAD(CASECC,J,1,0)
CALL CLOSE(CASECC,1)
FILE = TRL
CALL OPEN(*900,TRL,IZ(IBUF1),0)
CALL FREAD(TRL,MCB1,3,1)
M = MCB1(3)
CALL SKPREC(TRL,M)
25 CONTINUE
CALL FREAD(TRL,M,1,0)
IF(M .EQ. J) GO TO 30
CALL FREAD(TRL,0,0,1)
GO TO 25
C
C FOUND TSTEP
C
30 CALL READ(*910,*40,TRL,IZ(ITSTP),NZ,0,NGROUP)
CALL MESAGE(-8,0,NAME)
40 NZ = NZ-NGROUP
IUHVF = ITSTP+NGROUP
CALL CLOSE(TRL,1)
NGROUP = NGROUP/3
IF(NGROUP .NE. 1) IEQUAL = 0
IF( IEQUAL .EQ. 0 ) GO TO 50
C
C FORCE WAT TO BE INTEGER MULTIPLE OF TWOPI/N
C
FBIG = TWOPI/(DELW*Z(ITSTP+1))
NBIG = FBIG+.9
Z(ITSTP+1) = TWOPI/(FLOAT(NBIG)*DELW)
50 CONTINUE
C
C BUILD / WRITE TOL
C
FILE = TOL
CALL OPEN(*900,TOL,IZ(IBUF1),1)
CALL FNAME(TOL,MCB1)
CALL WRITE(TOL,MCB1,2,0)
DELT = Z(ITSTP+1)
T = 0.0
N = 0
M = ITSTP
DO 60 I=1,NGROUP
NSTEP = IZ(M)
IF(I .EQ. 1) NSTEP = NSTEP +1
M = M+3
DO 70 J=1,NSTEP
CALL WRITE(TOL,T,1,0)
N = N+1
IF(J .EQ. NSTEP .AND. I .NE. NGROUP) DELT = Z(M+1)
T = T+DELT
70 CONTINUE
60 CONTINUE
CALL WRITE(TOL,0,0,1)
CALL CLOSE(TOL,1)
MCB1(1) = TOL
MCB1(2) = NGROUP
MCB1(3) = N
MCB1(4) = 0
MCB1(5) = 0
MCB1(6) = 0
MCB1(7) = 0
CALL WRTTRL(MCB1)
C
C BUILD TABLE OF CK, SK
C
ICK = IUHVF + 2*NMODES*NFREQ
ISK = ICK
IUDOT = ISK
IF( IEQUAL .EQ. 0 ) GO TO 100
ISK = ICK + NBIG
IUDOT = ISK + NBIG
M = ICK
M1 = ISK
M2 = ISK
J = IUDOT
RP = COS(TWOPI/FLOAT(NBIG))
CP = SIN(TWOPI/FLOAT(NBIG))
I = M
N = M1+1
L = M2
KK = J
Z(I) = 1.0
Z(L) = 0.0
65 IF(M1-I-2) 61,62,63
62 CMNR = -1.
CMNC = 0.
GO TO 64
63 CMNR = RP*Z(I) -CP*Z(L)
CMNC = CP*Z(I) +RP*Z(L)
64 I = I+1
L = L+1
M1 = M1-1
KK = KK-1
Z(I) = CMNR
Z(L) = CMNC
Z(M1) = CMNR
Z(KK) = -CMNC
GO TO 65
61 CONTINUE
C GET READY FOR OUTPUTS
C
100 CALL GOPEN(UHVF,IZ(IBUF1),0)
CALL GOPEN(UHVT,IZ(IBUF2),1)
IT1 = 1
IT2 = 1
II = 1
JJ=NMODES
INCR = 1
IT3 = 3
II1 = 1
JJ1 = NMODES
INCR1 = 1
IUVT = IUDOT
IF(IFTM .EQ. 2) IUVT = IUVT+2*NFREQ*NMODES
ASSIGN 235 TO IHOP
C
C BEGIN LOOP ON LOADS
C
DO 200 I=1,NLOAD
C
C PUT UHVF INTO CORE
C
DO 110 J=1,NFREQ
M = IUHVF+(J-1)*NMODES*2
CALL UNPACK(*120,UHVF,Z(M))
GO TO 110
120 CALL ZEROC(Z(M),2*NMODES)
110 CONTINUE
IF(IFTM .NE. 2) GO TO 150
ASSIGN 236 TO IHOP
C
C COMPUTE SPLINE FIT FOR U DOT
C
C
C COMPUTE A'S
C
IAP = IUVT + NMODES
M =NFREQ + IAP - 1
Z(M) = 0.0
L = NFREQ-2
IF(L .LE. 0) GO TO 126
DO 125 J=1,L
M = IAP + NFREQ -J-1
N = IFREQ + NFREQ-J-1
Z(M) = (Z(N) - Z(N-1))/(2.*(Z(N+1)-Z(N-1))-(Z(N+1)-Z(N))*Z(M+1))
125 CONTINUE
126 CONTINUE
C
C COMPUTE U DOT DOT
C
DO 122 M1=1,NMODES
M = IUDOT +(NFREQ-1)*NMODES*2 +(M1-1)*2
Z(M) = 0.0
Z(M+1) = 0.0
C
C BEGIN BACKWARD PASS
C
M2= IUHVF +(NFREQ-1)*NMODES*2 +(M1-1)*2
IF(L .LE. 0) GO TO 122
DO 130 J=1,L
N2 = M
M = M-NMODES*2
N = IFREQ + NFREQ -J-1
M2 = M2-NMODES*2
KK = IAP + NFREQ-J
LL = M2+2*NMODES
RP = Z(N+1) - Z(N)
CP = Z(N) -Z(N-1)
N1 = M2-2*NMODES
Z(M) = (6. *((Z(LL)-Z(M2))/RP-(Z(M2)-Z(N1))/CP)-RP*Z(KK)*Z(N2))
U /CP
Z(M+1) = (6.*((Z(LL+1)-Z(M2+1))/RP-(Z(M2+1)-Z(N1+1))/CP)-RP*Z(KK)*
1 Z(N2+1))/CP
130 CONTINUE
122 CONTINUE
C
C BEGIN FORWARD PASS
C
DO 135 M1=1,NMODES
M = IUDOT +(M1-1)*2
M2 = IUHVF +(M1-1)*2
N1 = M2+2*NMODES
LL = M+2*NMODES
RP = Z(IFREQ+1) -Z(IFREQ)
Z(M) =(6.*(Z(N1)-Z(M2))/RP-RP*Z(IAP+1)*Z(LL))/(6.*Z(IFREQ)+(RP)*
1 (2.-Z(IAP+1)) )
Z(M+1) = 0.0
DO 138 J=2,NFREQ
KK = IAP+J-1
M2 = M
M = M+2*NMODES
Z(M) = Z(KK)*(Z(LL) - Z(M2))
Z(M+1) = Z(KK)*(Z(LL+1)-Z(M2+1))
LL = LL + 2*NMODES
138 CONTINUE
135 CONTINUE
150 CONTINUE
T = 0.0
N = 0
M = ITSTP
DELT = Z(ITSTP+1)
C
C BEGIN LOOP ON TIMES
C
DO 160 L=1,NGROUP
NSTEP = IZ(M)
IF(L .EQ. 1) NSTEP = NSTEP+1
M = M+3
DO 170 J=1,NSTEP
TT = T
CALL ZEROC(Z(IUVT),NMODES)
C
C BEGIN LOOP ON FREQUENCIES
C
LX = LLL
DO 180 LL=1,NFREQ
LX = LX+1
WN = Z(IFREQ+LL-1)
IF(LL .EQ. 1) GO TO 191
WNM1 = Z(IFREQ+LL-2)
191 IF(LL .EQ. NFREQ) GO TO 192
WNP1 = Z(IFREQ+LL)
192 CONTINUE
IF(IEQUAL .EQ. 0) GO TO 190
KK = MOD(LX*N,NBIG)
CK = Z(ICK+KK)
SK = Z(ISK+KK)
GO TO 195
190 CK = COS(WN*TT)
SK = SIN(WN*TT)
195 CONTINUE
C
C COMPUTE CMN, DMN
C
IF(IFTM .NE. 0) GO TO 220
C
C IFTM =0
C
CMNC = 0.0
IF(LL .EQ. 1) GO TO 196
IF(LL .EQ. NFREQ) GO TO 197
CMNR = (WNP1-WNM1)*.5
GO TO 230
196 CONTINUE
CMNR = WNP1-WN
IF(WN .EQ. 0.0) CMNR = CMNR*.5
GO TO 230
197 CMNR = WN -WNM1
GO TO 230
C
C IFTM = 1
C
220 CONTINUE
IF(LL .EQ. 1) GO TO 221
IF(LL.GT. 2 .AND. IEQUAL .NE. 0 .AND. LL .NE. NFREQ) GO TO 223
R1 = WN-WNM1
CALL IFTE2(-TT*R1,RP,CP)
CMNR = R1*.5*RP
CMNC = R1*.5*CP
GO TO 222
221 CMNR = 0.
CMNC = 0.
222 CONTINUE
IF(LL .EQ. NFREQ) GO TO 223
R2 = WNP1-WN
CALL IFTE2(TT*R2,RP,CP)
CMNR = CMNR+R2*.5*RP
CMNC = CMNC+R2*.5*CP
223 IF(IFTM .EQ. 2) GO TO 229
DMNR = 0.0
DMNC = 0.0
GO TO 230
229 CONTINUE
C
C IFTM = 2
C
IM2 = IUDOT -2 +(LL-1)*NMODES*2
IF(LL .EQ. 1) GO TO 224
IF(LL .GT. 2 .AND. IEQUAL .NE. 0 .AND. LL .NE. NFREQ) GO TO 230
CALL IFTG(-TT*R1,RP,CP)
R1 = -R1*R1*R1/24.
DMNR = R1*RP
DMNC = R1*CP
GO TO 228
224 CONTINUE
DMNR = 0.0
DMNC = 0.0
228 CONTINUE
IF(LL .EQ. NFREQ) GO TO 230
CALL IFTG(TT*R2,RP,CP)
R2 = -R2*R2*R2/24.
DMNR = DMNR+R2*RP
DMNC = DMNC+R2*CP
230 CONTINUE
IM1 = IUHVF-2 +(LL-1)*NMODES*2
C
C BEGIN LOOP ON MODES
C
DO 240 KK=1,NMODES
IM = IM1+2*KK
RP = CMNR*Z(IM)-CMNC*Z(IM+1)
CP = CMNC*Z(IM)+CMNR* Z(IM+1)
GO TO IHOP,(235,236)
236 CONTINUE
IM = IM2+2*KK
RP = RP+DMNR*Z(IM)-DMNC*Z(IM+1)
CP = CP+DMNC*Z(IM)+DMNR*Z(IM+1)
235 CONTINUE
Z(IUVT+KK-1) = Z(IUVT+KK-1) + RP*CK-CP*SK
C
C END LOOP ON MODES
C
240 CONTINUE
C
C END LOOP ON FREQUENCIES
C
180 CONTINUE
DO 181 KK=1,NMODES
Z(IUVT+KK-1) = Z(IUVT+KK-1)/PHI
181 CONTINUE
CALL PACK(Z(IUVT),UHVT,MCB)
DO 182 KK =1,2
CALL BLDPK(1,1,UHVT,0,0)
CALL BLDPKN(UHVT,0,MCB)
182 CONTINUE
IF(J .EQ. NSTEP) DELT = Z(M+1)
T = T + DELT
N = N+1
170 CONTINUE
C
C END LOOP ON TIME
C
160 CONTINUE
C
C END LOOP ON LOADS
C
200 CONTINUE
CALL CLOSE(UHVF,1)
CALL CLOSE(UHVT,1)
CALL WRTTRL(MCB)
RETURN
C
C ERROR MESSAGES
C
900 N1=-1
901 CALL MESAGE(N1,FILE,NAME)
CALL PEXIT
910 N1=-2
GO TO 901
END
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