1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
|
* AB09ID EXAMPLE PROGRAM TEXT
* Copyright (c) 2002-2010 NICONET e.V.
*
* .. Parameters ..
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
INTEGER MMAX, MWMAX, NMAX, NVMAX, NWMAX, PMAX, PVMAX
PARAMETER ( MMAX = 20, MWMAX = 20,
$ NMAX = 20, NVMAX = 20, NWMAX = 20,
$ PMAX = 20, PVMAX = 20 )
INTEGER LDA, LDAV, LDAW, LDB, LDBV, LDBW,
$ LDC, LDCV, LDCW, LDD, LDDV, LDDW
PARAMETER ( LDA = NMAX, LDAV = NVMAX, LDAW = NWMAX,
$ LDB = NMAX, LDBV = NVMAX, LDBW = NWMAX,
$ LDC = PMAX, LDCV = PVMAX, LDCW = MMAX,
$ LDD = PMAX, LDDV = PVMAX, LDDW = MMAX )
INTEGER LIWORK
PARAMETER ( LIWORK = MAX( 2*NMAX,
$ NVMAX + MAX( PMAX, PVMAX ),
$ NWMAX + MAX( MMAX, MWMAX ) ) )
INTEGER LDW1, LDW2, LDW3, LDW4, LDW5, LDW6, LDW7, LDW8,
$ LDWORK
PARAMETER ( LDW1 = NMAX + NVMAX, LDW2 = NMAX + NWMAX,
$ LDW3 = MAX( LDW1*( LDW1 + MAX( LDW1, PVMAX ) +
$ 5 ), NMAX*( PMAX + 5 ) ),
$ LDW4 = MAX( LDW2*( LDW2 + MAX( LDW2, MWMAX ) +
$ 5 ), NMAX*( MMAX + 5 ) ),
$ LDW5 = PVMAX*( NVMAX + PVMAX ) + PVMAX*NVMAX +
$ MAX( NVMAX*( NVMAX + 5 ), 4*PVMAX,
$ PVMAX*( PVMAX + 2 ), 4*PMAX ),
$ LDW6 = MAX( PMAX, PVMAX )*( 2*NVMAX +
$ MAX( PMAX, PVMAX ) ) +
$ MAX( LDW5, NVMAX +
$ MAX( NVMAX, 3*PMAX, 3*PVMAX )
$ ),
$ LDW7 = MAX( NWMAX + MAX( NWMAX, 3*MMAX ),
$ 2*NWMAX*MAX( MMAX, MWMAX ) +
$ NWMAX + MAX( NWMAX, 3*MMAX,
$ 3*MWMAX ) ),
$ LDW8 = MWMAX*( NWMAX + MWMAX ) +
$ MAX( NWMAX*( NWMAX + 5 ), 4*MWMAX,
$ MWMAX*( MWMAX + 2 ), 4*MMAX ) )
PARAMETER ( LDWORK = MAX( LDW6, LDW7, LDW8,
$ 2*NMAX*NMAX +
$ MAX( 1, LDW3, LDW4,
$ 2*NMAX*NMAX + 5*NMAX,
$ NMAX*MAX( MMAX, PMAX ) ) )
$ )
* .. Local Scalars ..
LOGICAL LEFTW, RIGHTW
DOUBLE PRECISION ALPHA, ALPHAC, ALPHAO, TOL1, TOL2
INTEGER I, INFO, IWARN, J, M, MW, N, NR, NS, NV, NW, P,
$ PV
CHARACTER*1 DICO, EQUIL, JOB, JOBC, JOBO, ORDSEL, WEIGHT
* .. Local Arrays ..
DOUBLE PRECISION A(LDA,NMAX), AV(LDAV,NVMAX), AW(LDAW,NWMAX),
$ B(LDB,MMAX), BV(LDBV,PMAX), BW(LDBW,MWMAX),
$ C(LDC,NMAX), CV(LDCV,NVMAX), CW(LDCW,NWMAX),
$ D(LDD,MMAX), DV(LDDV,PMAX), DW(LDDW,MWMAX),
$ DWORK(LDWORK), HSV(NMAX)
INTEGER IWORK(LIWORK)
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
* .. External Subroutines ..
EXTERNAL AB09ID
* .. Intrinsic Functions ..
INTRINSIC MAX
* .. Executable Statements ..
*
WRITE ( NOUT, FMT = 99999 )
* Skip the heading in the data file and read the data.
READ ( NIN, FMT = '()' )
READ ( NIN, FMT = * ) N, M, P, NV, PV, NW, MW, NR,
$ ALPHA, ALPHAC, ALPHAO, TOL1, TOL2,
$ DICO, JOBC, JOBO, JOB, WEIGHT,
$ EQUIL, ORDSEL
LEFTW = LSAME( WEIGHT, 'L' ) .OR. LSAME( WEIGHT, 'B' )
RIGHTW = LSAME( WEIGHT, 'R' ) .OR. LSAME( WEIGHT, 'B' )
IF( N.LE.0 .OR. N.GT.NMAX ) THEN
WRITE ( NOUT, FMT = 99990 ) N
ELSE
READ ( NIN, FMT = * ) ( ( A(I,J), J = 1,N ), I = 1,N )
IF( M.LE.0 .OR. M.GT.MMAX ) THEN
WRITE ( NOUT, FMT = 99989 ) M
ELSE
READ ( NIN, FMT = * ) ( ( B(I,J), J = 1,M ), I = 1, N )
IF( P.LE.0 .OR. P.GT.PMAX ) THEN
WRITE ( NOUT, FMT = 99988 ) P
ELSE
READ ( NIN, FMT = * ) ( ( C(I,J), J = 1,N ), I = 1,P )
READ ( NIN, FMT = * ) ( ( D(I,J), J = 1,M ), I = 1,P )
IF( LEFTW ) THEN
IF( NV.LT.0 .OR. NV.GT.NVMAX ) THEN
WRITE ( NOUT, FMT = 99986 ) NV
ELSE
IF( NV.GT.0 ) THEN
READ ( NIN, FMT = * )
$ ( ( AV(I,J), J = 1,NV ), I = 1,NV )
READ ( NIN, FMT = * )
$ ( ( BV(I,J), J = 1,P ), I = 1,NV )
IF( PV.LE.0 .OR. PV.GT.PVMAX ) THEN
WRITE ( NOUT, FMT = 99985 ) PV
ELSE
READ ( NIN, FMT = * )
$ ( ( CV(I,J), J = 1,NV ), I = 1,PV )
END IF
END IF
IF( PV.LE.0 .OR. PV.GT.PVMAX ) THEN
WRITE ( NOUT, FMT = 99985 ) PV
ELSE
READ ( NIN, FMT = * )
$ ( ( DV(I,J), J = 1,P ), I = 1,PV )
END IF
END IF
END IF
IF( RIGHTW ) THEN
IF( NW.LT.0 .OR. NW.GT.NWMAX ) THEN
WRITE ( NOUT, FMT = 99984 ) NW
ELSE
IF( NW.GT.0 ) THEN
READ ( NIN, FMT = * )
$ ( ( AW(I,J), J = 1,NW ), I = 1,NW )
IF( MW.LE.0 .OR. MW.GT.MWMAX ) THEN
WRITE ( NOUT, FMT = 99983 ) MW
ELSE
READ ( NIN, FMT = * )
$ ( ( BW(I,J), J = 1,MW ), I = 1,NW )
END IF
READ ( NIN, FMT = * )
$ ( ( CW(I,J), J = 1,NW ), I = 1,M )
END IF
IF( MW.LE.0 .OR. MW.GT.MWMAX ) THEN
WRITE ( NOUT, FMT = 99983 ) MW
ELSE
READ ( NIN, FMT = * )
$ ( ( DW(I,J), J = 1,MW ), I = 1,M )
END IF
END IF
END IF
* Find a reduced ssr for (A,B,C,D).
CALL AB09ID( DICO, JOBC, JOBO, JOB, WEIGHT, EQUIL,
$ ORDSEL, N, M, P, NV, PV, NW, MW, NR, ALPHA,
$ ALPHAC, ALPHAO, A, LDA, B, LDB, C, LDC, D,
$ LDD, AV, LDAV, BV, LDBV, CV, LDCV, DV, LDDV,
$ AW, LDAW, BW, LDBW, CW, LDCW, DW, LDDW,
$ NS, HSV, TOL1, TOL2, IWORK, DWORK, LDWORK,
$ IWARN, INFO )
*
IF ( INFO.NE.0 ) THEN
WRITE ( NOUT, FMT = 99998 ) INFO
ELSE
IF( IWARN.NE.0) WRITE ( NOUT, FMT = 99982 ) IWARN
WRITE ( NOUT, FMT = 99997 ) NR
WRITE ( NOUT, FMT = 99987 )
WRITE ( NOUT, FMT = 99995 ) ( HSV(J), J = 1, NS )
IF( NR.GT.0 ) WRITE ( NOUT, FMT = 99996 )
DO 20 I = 1, NR
WRITE ( NOUT, FMT = 99995 ) ( A(I,J), J = 1,NR )
20 CONTINUE
IF( NR.GT.0 ) WRITE ( NOUT, FMT = 99993 )
DO 40 I = 1, NR
WRITE ( NOUT, FMT = 99995 ) ( B(I,J), J = 1,M )
40 CONTINUE
IF( NR.GT.0 ) WRITE ( NOUT, FMT = 99992 )
DO 60 I = 1, P
WRITE ( NOUT, FMT = 99995 ) ( C(I,J), J = 1,NR )
60 CONTINUE
WRITE ( NOUT, FMT = 99991 )
DO 70 I = 1, P
WRITE ( NOUT, FMT = 99995 ) ( D(I,J), J = 1,M )
70 CONTINUE
END IF
END IF
END IF
END IF
STOP
*
99999 FORMAT (' AB09ID EXAMPLE PROGRAM RESULTS',/1X)
99998 FORMAT (' INFO on exit from AB09ID = ',I2)
99997 FORMAT (/' The order of reduced model = ',I2)
99996 FORMAT (/' The reduced state dynamics matrix Ar is ')
99995 FORMAT (20(1X,F8.4))
99993 FORMAT (/' The reduced input/state matrix Br is ')
99992 FORMAT (/' The reduced state/output matrix Cr is ')
99991 FORMAT (/' The reduced input/output matrix Dr is ')
99990 FORMAT (/' N is out of range.',/' N = ',I5)
99989 FORMAT (/' M is out of range.',/' M = ',I5)
99988 FORMAT (/' P is out of range.',/' P = ',I5)
99987 FORMAT (/' The Hankel singular values of weighted ALPHA-stable',
$ ' part are')
99986 FORMAT (/' NV is out of range.',/' NV = ',I5)
99985 FORMAT (/' PV is out of range.',/' PV = ',I5)
99984 FORMAT (/' NW is out of range.',/' NW = ',I5)
99983 FORMAT (/' MW is out of range.',/' MW = ',I5)
99982 FORMAT (' IWARN on exit from AB09ID = ',I2)
END
|
