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SUBROUTINE ZFFTF1 (N,C,CH,WA,IFAC)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION CH(*) ,C(*) ,WA(*) ,IFAC(*)
NF = IFAC(2)
NA = 0
L1 = 1
IW = 1
DO 116 K1=1,NF
IP = IFAC(K1+2)
L2 = IP*L1
IDO = N/L2
IDOT = IDO+IDO
IDL1 = IDOT*L1
IF (IP .NE. 4) GO TO 103
IX2 = IW+IDOT
IX3 = IX2+IDOT
IF (NA .NE. 0) GO TO 101
CALL DPASSF4 (IDOT,L1,C,CH,WA(IW),WA(IX2),WA(IX3))
GO TO 102
101 CALL DPASSF4 (IDOT,L1,CH,C,WA(IW),WA(IX2),WA(IX3))
102 NA = 1-NA
GO TO 115
103 IF (IP .NE. 2) GO TO 106
IF (NA .NE. 0) GO TO 104
CALL DPASSF2 (IDOT,L1,C,CH,WA(IW))
GO TO 105
104 CALL DPASSF2 (IDOT,L1,CH,C,WA(IW))
105 NA = 1-NA
GO TO 115
106 IF (IP .NE. 3) GO TO 109
IX2 = IW+IDOT
IF (NA .NE. 0) GO TO 107
CALL DPASSF3 (IDOT,L1,C,CH,WA(IW),WA(IX2))
GO TO 108
107 CALL DPASSF3 (IDOT,L1,CH,C,WA(IW),WA(IX2))
108 NA = 1-NA
GO TO 115
109 IF (IP .NE. 5) GO TO 112
IX2 = IW+IDOT
IX3 = IX2+IDOT
IX4 = IX3+IDOT
IF (NA .NE. 0) GO TO 110
CALL DPASSF5 (IDOT,L1,C,CH,WA(IW),WA(IX2),WA(IX3),WA(IX4))
GO TO 111
110 CALL DPASSF5 (IDOT,L1,CH,C,WA(IW),WA(IX2),WA(IX3),WA(IX4))
111 NA = 1-NA
GO TO 115
112 IF (NA .NE. 0) GO TO 113
CALL DPASSF (NAC,IDOT,IP,L1,IDL1,C,C,C,CH,CH,WA(IW))
GO TO 114
113 CALL DPASSF (NAC,IDOT,IP,L1,IDL1,CH,CH,CH,C,C,WA(IW))
114 IF (NAC .NE. 0) NA = 1-NA
115 L1 = L2
IW = IW+(IP-1)*IDOT
116 CONTINUE
IF (NA .EQ. 0) RETURN
N2 = N+N
DO 117 I=1,N2
C(I) = CH(I)
117 CONTINUE
RETURN
END
SUBROUTINE DPASSF (NAC,IDO,IP,L1,IDL1,CC,C1,C2,CH,CH2,WA)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION CH(IDO,L1,IP) ,CC(IDO,IP,L1) ,
1 C1(IDO,L1,IP) ,WA(1) ,C2(IDL1,IP),
2 CH2(IDL1,IP)
IDOT = IDO/2
NT = IP*IDL1
IPP2 = IP+2
IPPH = (IP+1)/2
IDP = IP*IDO
C
IF (IDO .LT. L1) GO TO 106
DO 103 J=2,IPPH
JC = IPP2-J
DO 102 K=1,L1
DO 101 I=1,IDO
CH(I,K,J) = CC(I,J,K)+CC(I,JC,K)
CH(I,K,JC) = CC(I,J,K)-CC(I,JC,K)
101 CONTINUE
102 CONTINUE
103 CONTINUE
DO 105 K=1,L1
DO 104 I=1,IDO
CH(I,K,1) = CC(I,1,K)
104 CONTINUE
105 CONTINUE
GO TO 112
106 DO 109 J=2,IPPH
JC = IPP2-J
DO 108 I=1,IDO
DO 107 K=1,L1
CH(I,K,J) = CC(I,J,K)+CC(I,JC,K)
CH(I,K,JC) = CC(I,J,K)-CC(I,JC,K)
107 CONTINUE
108 CONTINUE
109 CONTINUE
DO 111 I=1,IDO
DO 110 K=1,L1
CH(I,K,1) = CC(I,1,K)
110 CONTINUE
111 CONTINUE
112 IDL = 2-IDO
INC = 0
DO 116 L=2,IPPH
LC = IPP2-L
IDL = IDL+IDO
DO 113 IK=1,IDL1
C2(IK,L) = CH2(IK,1)+WA(IDL-1)*CH2(IK,2)
C2(IK,LC) = -WA(IDL)*CH2(IK,IP)
113 CONTINUE
IDLJ = IDL
INC = INC+IDO
DO 115 J=3,IPPH
JC = IPP2-J
IDLJ = IDLJ+INC
IF (IDLJ .GT. IDP) IDLJ = IDLJ-IDP
WAR = WA(IDLJ-1)
WAI = WA(IDLJ)
DO 114 IK=1,IDL1
C2(IK,L) = C2(IK,L)+WAR*CH2(IK,J)
C2(IK,LC) = C2(IK,LC)-WAI*CH2(IK,JC)
114 CONTINUE
115 CONTINUE
116 CONTINUE
DO 118 J=2,IPPH
DO 117 IK=1,IDL1
CH2(IK,1) = CH2(IK,1)+CH2(IK,J)
117 CONTINUE
118 CONTINUE
DO 120 J=2,IPPH
JC = IPP2-J
DO 119 IK=2,IDL1,2
CH2(IK-1,J) = C2(IK-1,J)-C2(IK,JC)
CH2(IK-1,JC) = C2(IK-1,J)+C2(IK,JC)
CH2(IK,J) = C2(IK,J)+C2(IK-1,JC)
CH2(IK,JC) = C2(IK,J)-C2(IK-1,JC)
119 CONTINUE
120 CONTINUE
NAC = 1
IF (IDO .EQ. 2) RETURN
NAC = 0
DO 121 IK=1,IDL1
C2(IK,1) = CH2(IK,1)
121 CONTINUE
DO 123 J=2,IP
DO 122 K=1,L1
C1(1,K,J) = CH(1,K,J)
C1(2,K,J) = CH(2,K,J)
122 CONTINUE
123 CONTINUE
IF (IDOT .GT. L1) GO TO 127
IDIJ = 0
DO 126 J=2,IP
IDIJ = IDIJ+2
DO 125 I=4,IDO,2
IDIJ = IDIJ+2
DO 124 K=1,L1
C1(I-1,K,J) = WA(IDIJ-1)*CH(I-1,K,J)+WA(IDIJ)*CH(I,K,J)
C1(I,K,J) = WA(IDIJ-1)*CH(I,K,J)-WA(IDIJ)*CH(I-1,K,J)
124 CONTINUE
125 CONTINUE
126 CONTINUE
RETURN
127 IDJ = 2-IDO
DO 130 J=2,IP
IDJ = IDJ+IDO
DO 129 K=1,L1
IDIJ = IDJ
DO 128 I=4,IDO,2
IDIJ = IDIJ+2
C1(I-1,K,J) = WA(IDIJ-1)*CH(I-1,K,J)+WA(IDIJ)*CH(I,K,J)
C1(I,K,J) = WA(IDIJ-1)*CH(I,K,J)-WA(IDIJ)*CH(I-1,K,J)
128 CONTINUE
129 CONTINUE
130 CONTINUE
RETURN
END
SUBROUTINE DPASSF2 (IDO,L1,CC,CH,WA1)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION CC(IDO,2,L1) ,CH(IDO,L1,2) ,
1 WA1(1)
IF (IDO .GT. 2) GO TO 102
DO 101 K=1,L1
CH(1,K,1) = CC(1,1,K)+CC(1,2,K)
CH(1,K,2) = CC(1,1,K)-CC(1,2,K)
CH(2,K,1) = CC(2,1,K)+CC(2,2,K)
CH(2,K,2) = CC(2,1,K)-CC(2,2,K)
101 CONTINUE
RETURN
102 DO 104 K=1,L1
DO 103 I=2,IDO,2
CH(I-1,K,1) = CC(I-1,1,K)+CC(I-1,2,K)
TR2 = CC(I-1,1,K)-CC(I-1,2,K)
CH(I,K,1) = CC(I,1,K)+CC(I,2,K)
TI2 = CC(I,1,K)-CC(I,2,K)
CH(I,K,2) = WA1(I-1)*TI2-WA1(I)*TR2
CH(I-1,K,2) = WA1(I-1)*TR2+WA1(I)*TI2
103 CONTINUE
104 CONTINUE
RETURN
END
SUBROUTINE DPASSF3 (IDO,L1,CC,CH,WA1,WA2)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION CC(IDO,3,L1) ,CH(IDO,L1,3) ,
1 WA1(1) ,WA2(1)
C *** TAUI IS -SQRT(3)/2 ***
DATA TAUR,TAUI /-0.5D0,-0.86602540378443864676D0/
IF (IDO .NE. 2) GO TO 102
DO 101 K=1,L1
TR2 = CC(1,2,K)+CC(1,3,K)
CR2 = CC(1,1,K)+TAUR*TR2
CH(1,K,1) = CC(1,1,K)+TR2
TI2 = CC(2,2,K)+CC(2,3,K)
CI2 = CC(2,1,K)+TAUR*TI2
CH(2,K,1) = CC(2,1,K)+TI2
CR3 = TAUI*(CC(1,2,K)-CC(1,3,K))
CI3 = TAUI*(CC(2,2,K)-CC(2,3,K))
CH(1,K,2) = CR2-CI3
CH(1,K,3) = CR2+CI3
CH(2,K,2) = CI2+CR3
CH(2,K,3) = CI2-CR3
101 CONTINUE
RETURN
102 DO 104 K=1,L1
DO 103 I=2,IDO,2
TR2 = CC(I-1,2,K)+CC(I-1,3,K)
CR2 = CC(I-1,1,K)+TAUR*TR2
CH(I-1,K,1) = CC(I-1,1,K)+TR2
TI2 = CC(I,2,K)+CC(I,3,K)
CI2 = CC(I,1,K)+TAUR*TI2
CH(I,K,1) = CC(I,1,K)+TI2
CR3 = TAUI*(CC(I-1,2,K)-CC(I-1,3,K))
CI3 = TAUI*(CC(I,2,K)-CC(I,3,K))
DR2 = CR2-CI3
DR3 = CR2+CI3
DI2 = CI2+CR3
DI3 = CI2-CR3
CH(I,K,2) = WA1(I-1)*DI2-WA1(I)*DR2
CH(I-1,K,2) = WA1(I-1)*DR2+WA1(I)*DI2
CH(I,K,3) = WA2(I-1)*DI3-WA2(I)*DR3
CH(I-1,K,3) = WA2(I-1)*DR3+WA2(I)*DI3
103 CONTINUE
104 CONTINUE
RETURN
END
SUBROUTINE DPASSF4 (IDO,L1,CC,CH,WA1,WA2,WA3)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION CC(IDO,4,L1) ,CH(IDO,L1,4) ,
1 WA1(1) ,WA2(1) ,WA3(1)
IF (IDO .NE. 2) GO TO 102
DO 101 K=1,L1
TI1 = CC(2,1,K)-CC(2,3,K)
TI2 = CC(2,1,K)+CC(2,3,K)
TR4 = CC(2,2,K)-CC(2,4,K)
TI3 = CC(2,2,K)+CC(2,4,K)
TR1 = CC(1,1,K)-CC(1,3,K)
TR2 = CC(1,1,K)+CC(1,3,K)
TI4 = CC(1,4,K)-CC(1,2,K)
TR3 = CC(1,2,K)+CC(1,4,K)
CH(1,K,1) = TR2+TR3
CH(1,K,3) = TR2-TR3
CH(2,K,1) = TI2+TI3
CH(2,K,3) = TI2-TI3
CH(1,K,2) = TR1+TR4
CH(1,K,4) = TR1-TR4
CH(2,K,2) = TI1+TI4
CH(2,K,4) = TI1-TI4
101 CONTINUE
RETURN
102 DO 104 K=1,L1
DO 103 I=2,IDO,2
TI1 = CC(I,1,K)-CC(I,3,K)
TI2 = CC(I,1,K)+CC(I,3,K)
TI3 = CC(I,2,K)+CC(I,4,K)
TR4 = CC(I,2,K)-CC(I,4,K)
TR1 = CC(I-1,1,K)-CC(I-1,3,K)
TR2 = CC(I-1,1,K)+CC(I-1,3,K)
TI4 = CC(I-1,4,K)-CC(I-1,2,K)
TR3 = CC(I-1,2,K)+CC(I-1,4,K)
CH(I-1,K,1) = TR2+TR3
CR3 = TR2-TR3
CH(I,K,1) = TI2+TI3
CI3 = TI2-TI3
CR2 = TR1+TR4
CR4 = TR1-TR4
CI2 = TI1+TI4
CI4 = TI1-TI4
CH(I-1,K,2) = WA1(I-1)*CR2+WA1(I)*CI2
CH(I,K,2) = WA1(I-1)*CI2-WA1(I)*CR2
CH(I-1,K,3) = WA2(I-1)*CR3+WA2(I)*CI3
CH(I,K,3) = WA2(I-1)*CI3-WA2(I)*CR3
CH(I-1,K,4) = WA3(I-1)*CR4+WA3(I)*CI4
CH(I,K,4) = WA3(I-1)*CI4-WA3(I)*CR4
103 CONTINUE
104 CONTINUE
RETURN
END
SUBROUTINE DPASSF5 (IDO,L1,CC,CH,WA1,WA2,WA3,WA4)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION CC(IDO,5,L1) ,CH(IDO,L1,5) ,
1 WA1(1) ,WA2(1) ,WA3(1) ,WA4(1)
C *** TR11=COS(2*PI/5), TI11=-SIN(2*PI/5)
C *** TR12=-COS(4*PI/5), TI12=-SIN(4*PI/5)
DATA TR11,TI11,TR12,TI12 /0.3090169943749474241D0,
+ -0.95105651629515357212D0,
1 -0.8090169943749474241D0, -0.58778525229247312917D0/
IF (IDO .NE. 2) GO TO 102
DO 101 K=1,L1
TI5 = CC(2,2,K)-CC(2,5,K)
TI2 = CC(2,2,K)+CC(2,5,K)
TI4 = CC(2,3,K)-CC(2,4,K)
TI3 = CC(2,3,K)+CC(2,4,K)
TR5 = CC(1,2,K)-CC(1,5,K)
TR2 = CC(1,2,K)+CC(1,5,K)
TR4 = CC(1,3,K)-CC(1,4,K)
TR3 = CC(1,3,K)+CC(1,4,K)
CH(1,K,1) = CC(1,1,K)+TR2+TR3
CH(2,K,1) = CC(2,1,K)+TI2+TI3
CR2 = CC(1,1,K)+TR11*TR2+TR12*TR3
CI2 = CC(2,1,K)+TR11*TI2+TR12*TI3
CR3 = CC(1,1,K)+TR12*TR2+TR11*TR3
CI3 = CC(2,1,K)+TR12*TI2+TR11*TI3
CR5 = TI11*TR5+TI12*TR4
CI5 = TI11*TI5+TI12*TI4
CR4 = TI12*TR5-TI11*TR4
CI4 = TI12*TI5-TI11*TI4
CH(1,K,2) = CR2-CI5
CH(1,K,5) = CR2+CI5
CH(2,K,2) = CI2+CR5
CH(2,K,3) = CI3+CR4
CH(1,K,3) = CR3-CI4
CH(1,K,4) = CR3+CI4
CH(2,K,4) = CI3-CR4
CH(2,K,5) = CI2-CR5
101 CONTINUE
RETURN
102 DO 104 K=1,L1
DO 103 I=2,IDO,2
TI5 = CC(I,2,K)-CC(I,5,K)
TI2 = CC(I,2,K)+CC(I,5,K)
TI4 = CC(I,3,K)-CC(I,4,K)
TI3 = CC(I,3,K)+CC(I,4,K)
TR5 = CC(I-1,2,K)-CC(I-1,5,K)
TR2 = CC(I-1,2,K)+CC(I-1,5,K)
TR4 = CC(I-1,3,K)-CC(I-1,4,K)
TR3 = CC(I-1,3,K)+CC(I-1,4,K)
CH(I-1,K,1) = CC(I-1,1,K)+TR2+TR3
CH(I,K,1) = CC(I,1,K)+TI2+TI3
CR2 = CC(I-1,1,K)+TR11*TR2+TR12*TR3
CI2 = CC(I,1,K)+TR11*TI2+TR12*TI3
CR3 = CC(I-1,1,K)+TR12*TR2+TR11*TR3
CI3 = CC(I,1,K)+TR12*TI2+TR11*TI3
CR5 = TI11*TR5+TI12*TR4
CI5 = TI11*TI5+TI12*TI4
CR4 = TI12*TR5-TI11*TR4
CI4 = TI12*TI5-TI11*TI4
DR3 = CR3-CI4
DR4 = CR3+CI4
DI3 = CI3+CR4
DI4 = CI3-CR4
DR5 = CR2+CI5
DR2 = CR2-CI5
DI5 = CI2-CR5
DI2 = CI2+CR5
CH(I-1,K,2) = WA1(I-1)*DR2+WA1(I)*DI2
CH(I,K,2) = WA1(I-1)*DI2-WA1(I)*DR2
CH(I-1,K,3) = WA2(I-1)*DR3+WA2(I)*DI3
CH(I,K,3) = WA2(I-1)*DI3-WA2(I)*DR3
CH(I-1,K,4) = WA3(I-1)*DR4+WA3(I)*DI4
CH(I,K,4) = WA3(I-1)*DI4-WA3(I)*DR4
CH(I-1,K,5) = WA4(I-1)*DR5+WA4(I)*DI5
CH(I,K,5) = WA4(I-1)*DI5-WA4(I)*DR5
103 CONTINUE
104 CONTINUE
RETURN
END
|
