| 1 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
|---|
| 2 | ! |
|---|
| 3 | ! FFTPACK 5.0 |
|---|
| 4 | ! |
|---|
| 5 | ! Authors: Paul N. Swarztrauber and Richard A. Valent |
|---|
| 6 | ! |
|---|
| 7 | ! $Id: msntf1.f,v 1.2 2004/06/15 21:29:20 rodney Exp $ |
|---|
| 8 | ! |
|---|
| 9 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
|---|
| 10 | |
|---|
| 11 | SUBROUTINE MSNTF1(LOT,JUMP,N,INC,X,WSAVE,DSUM,XH,WORK,IER) |
|---|
| 12 | REAL X(INC,*) ,WSAVE(*) ,XH(LOT,*) |
|---|
| 13 | DOUBLE PRECISION DSUM(*) |
|---|
| 14 | IER = 0 |
|---|
| 15 | LJ = (LOT-1)*JUMP+1 |
|---|
| 16 | IF (N-2) 101,102,103 |
|---|
| 17 | 102 SSQRT3 = 1./SQRT(3.) |
|---|
| 18 | DO 112 M=1,LJ,JUMP |
|---|
| 19 | XHOLD = SSQRT3*(X(M,1)+X(M,2)) |
|---|
| 20 | X(M,2) = SSQRT3*(X(M,1)-X(M,2)) |
|---|
| 21 | X(M,1) = XHOLD |
|---|
| 22 | 112 END DO |
|---|
| 23 | 101 GO TO 200 |
|---|
| 24 | 103 NP1 = N+1 |
|---|
| 25 | NS2 = N/2 |
|---|
| 26 | DO 104 K=1,NS2 |
|---|
| 27 | KC = NP1-K |
|---|
| 28 | M1 = 0 |
|---|
| 29 | DO 114 M=1,LJ,JUMP |
|---|
| 30 | M1 = M1 + 1 |
|---|
| 31 | T1 = X(M,K)-X(M,KC) |
|---|
| 32 | T2 = WSAVE(K)*(X(M,K)+X(M,KC)) |
|---|
| 33 | XH(M1,K+1) = T1+T2 |
|---|
| 34 | XH(M1,KC+1) = T2-T1 |
|---|
| 35 | 114 CONTINUE |
|---|
| 36 | 104 END DO |
|---|
| 37 | MODN = MOD(N,2) |
|---|
| 38 | IF (MODN .EQ. 0) GO TO 124 |
|---|
| 39 | M1 = 0 |
|---|
| 40 | DO 123 M=1,LJ,JUMP |
|---|
| 41 | M1 = M1 + 1 |
|---|
| 42 | XH(M1,NS2+2) = 4.*X(M,NS2+1) |
|---|
| 43 | 123 END DO |
|---|
| 44 | 124 DO 127 M=1,LOT |
|---|
| 45 | XH(M,1) = 0. |
|---|
| 46 | 127 END DO |
|---|
| 47 | LNXH = LOT-1 + LOT*(NP1-1) + 1 |
|---|
| 48 | LNSV = NP1 + INT(LOG(REAL(NP1))) + 4 |
|---|
| 49 | LNWK = LOT*NP1 |
|---|
| 50 | ! |
|---|
| 51 | CALL RFFTMF(LOT,1,NP1,LOT,XH,LNXH,WSAVE(NS2+1),LNSV,WORK, & |
|---|
| 52 | & LNWK,IER1) |
|---|
| 53 | IF (IER1 .NE. 0) THEN |
|---|
| 54 | IER = 20 |
|---|
| 55 | CALL XERFFT ('MSNTF1',-5) |
|---|
| 56 | GO TO 200 |
|---|
| 57 | ENDIF |
|---|
| 58 | ! |
|---|
| 59 | IF(MOD(NP1,2) .NE. 0) GO TO 30 |
|---|
| 60 | DO 20 M=1,LOT |
|---|
| 61 | XH(M,NP1) = XH(M,NP1)+XH(M,NP1) |
|---|
| 62 | 20 END DO |
|---|
| 63 | 30 SFNP1 = 1./FLOAT(NP1) |
|---|
| 64 | M1 = 0 |
|---|
| 65 | DO 125 M=1,LJ,JUMP |
|---|
| 66 | M1 = M1+1 |
|---|
| 67 | X(M,1) = .5*XH(M1,1) |
|---|
| 68 | DSUM(M1) = X(M,1) |
|---|
| 69 | 125 END DO |
|---|
| 70 | DO 105 I=3,N,2 |
|---|
| 71 | M1 = 0 |
|---|
| 72 | DO 115 M=1,LJ,JUMP |
|---|
| 73 | M1 = M1+1 |
|---|
| 74 | X(M,I-1) = .5*XH(M1,I) |
|---|
| 75 | DSUM(M1) = DSUM(M1)+.5*XH(M1,I-1) |
|---|
| 76 | X(M,I) = DSUM(M1) |
|---|
| 77 | 115 CONTINUE |
|---|
| 78 | 105 END DO |
|---|
| 79 | IF (MODN .NE. 0) GO TO 200 |
|---|
| 80 | M1 = 0 |
|---|
| 81 | DO 116 M=1,LJ,JUMP |
|---|
| 82 | M1 = M1+1 |
|---|
| 83 | X(M,N) = .5*XH(M1,N+1) |
|---|
| 84 | 116 END DO |
|---|
| 85 | 200 CONTINUE |
|---|
| 86 | RETURN |
|---|
| 87 | END |
|---|