comparison liboctave/cruft/odepack/prepj.f @ 19627:446c46af4b42 stable

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scripts/statistics/distributions/frnd.m, scripts/statistics/distributions/gamrnd.m, scripts/statistics/distributions/geornd.m, scripts/statistics/distributions/hygernd.m, scripts/statistics/distributions/kolmogorov_smirnov_cdf.m, scripts/statistics/distributions/laplace_cdf.m, scripts/statistics/distributions/laplace_pdf.m, scripts/statistics/distributions/logistic_cdf.m, scripts/statistics/distributions/logistic_pdf.m, scripts/statistics/distributions/lognrnd.m, scripts/statistics/distributions/nbincdf.m, scripts/statistics/distributions/nbininv.m, scripts/statistics/distributions/nbinpdf.m, scripts/statistics/distributions/nbinrnd.m, scripts/statistics/distributions/normrnd.m, scripts/statistics/distributions/poissinv.m, scripts/statistics/distributions/poissrnd.m, scripts/statistics/distributions/tinv.m, scripts/statistics/distributions/trnd.m, scripts/statistics/distributions/unidcdf.m, scripts/statistics/distributions/unidpdf.m, scripts/statistics/distributions/unidrnd.m, scripts/statistics/distributions/unifrnd.m, scripts/statistics/distributions/wblrnd.m, scripts/statistics/models/module.mk, scripts/statistics/tests/kruskal_wallis_test.m, scripts/strings/base2dec.m, scripts/strings/deblank.m, scripts/strings/dec2base.m, scripts/strings/dec2bin.m, scripts/strings/dec2hex.m, scripts/strings/mat2str.m, scripts/strings/ostrsplit.m, scripts/strings/regexptranslate.m, scripts/strings/str2num.m, scripts/strings/strcat.m, scripts/strings/strjoin.m, scripts/strings/strsplit.m, scripts/strings/strtok.m, scripts/strings/strtrim.m, scripts/strings/strtrunc.m, scripts/strings/substr.m, scripts/testfun/__run_test_suite__.m, scripts/testfun/speed.m, scripts/testfun/test.m, scripts/time/asctime.m, scripts/time/datenum.m, scripts/time/datevec.m, scripts/time/weekday.m, src/Makefile.am, test/Makefile.am, test/build-bc-overload-tests.sh, test/build-sparse-tests.sh, test/jit.tst, test/line-continue.tst: Strip trailing whitespace.
author John W. Eaton <jwe@octave.org>
date Tue, 20 Jan 2015 08:26:57 -0500
parents 648dabbb4c6b
children
comparison
equal deleted inserted replaced
19488:8dbd55742112 19627:446c46af4b42
6 INTEGER IOWND, IOWNS, 6 INTEGER IOWND, IOWNS,
7 1 ICF, IERPJ, IERSL, JCUR, JSTART, KFLAG, L, METH, MITER, 7 1 ICF, IERPJ, IERSL, JCUR, JSTART, KFLAG, L, METH, MITER,
8 2 MAXORD, MAXCOR, MSBP, MXNCF, N, NQ, NST, NFE, NJE, NQU 8 2 MAXORD, MAXCOR, MSBP, MXNCF, N, NQ, NST, NFE, NJE, NQU
9 INTEGER I, I1, I2, IER, II, J, J1, JJ, LENP, 9 INTEGER I, I1, I2, IER, II, J, J1, JJ, LENP,
10 1 MBA, MBAND, MEB1, MEBAND, ML, ML3, MU, NP1 10 1 MBA, MBAND, MEB1, MEBAND, ML, ML3, MU, NP1
11 DOUBLE PRECISION Y, YH, EWT, FTEM, SAVF, WM 11 DOUBLE PRECISION Y, YH, EWT, FTEM, SAVF, WM
12 DOUBLE PRECISION ROWNS, 12 DOUBLE PRECISION ROWNS,
13 1 CCMAX, EL0, H, HMIN, HMXI, HU, RC, TN, UROUND 13 1 CCMAX, EL0, H, HMIN, HMXI, HU, RC, TN, UROUND
14 DOUBLE PRECISION CON, DI, FAC, HL0, R, R0, SRUR, YI, YJ, YJJ, 14 DOUBLE PRECISION CON, DI, FAC, HL0, R, R0, SRUR, YI, YJ, YJJ,
15 1 VNORM 15 1 VNORM
16 DIMENSION NEQ(*), Y(*), YH(NYH,*), EWT(*), FTEM(*), SAVF(*), 16 DIMENSION NEQ(*), Y(*), YH(NYH,*), EWT(*), FTEM(*), SAVF(*),
17 1 WM(*), IWM(*) 17 1 WM(*), IWM(*)
18 COMMON /LS0001/ ROWNS(209), 18 COMMON /LS0001/ ROWNS(209),
19 2 CCMAX, EL0, H, HMIN, HMXI, HU, RC, TN, UROUND, 19 2 CCMAX, EL0, H, HMIN, HMXI, HU, RC, TN, UROUND,
20 3 IOWND(14), IOWNS(6), 20 3 IOWND(14), IOWNS(6),
21 4 ICF, IERPJ, IERSL, JCUR, JSTART, KFLAG, L, METH, MITER, 21 4 ICF, IERPJ, IERSL, JCUR, JSTART, KFLAG, L, METH, MITER,
22 5 MAXORD, MAXCOR, MSBP, MXNCF, N, NQ, NST, NFE, NJE, NQU 22 5 MAXORD, MAXCOR, MSBP, MXNCF, N, NQ, NST, NFE, NJE, NQU
23 C----------------------------------------------------------------------- 23 C-----------------------------------------------------------------------
24 C PREPJ IS CALLED BY STODE TO COMPUTE AND PROCESS THE MATRIX 24 C PREPJ IS CALLED BY STODE TO COMPUTE AND PROCESS THE MATRIX
25 C P = I - H*EL(1)*J , WHERE J IS AN APPROXIMATION TO THE JACOBIAN. 25 C P = I - H*EL(1)*J , WHERE J IS AN APPROXIMATION TO THE JACOBIAN.
32 C BY DGETRF IF MITER = 1 OR 2, AND BY DGBTRF IF MITER = 4 OR 5. 32 C BY DGETRF IF MITER = 1 OR 2, AND BY DGBTRF IF MITER = 4 OR 5.
33 C 33 C
34 C IN ADDITION TO VARIABLES DESCRIBED PREVIOUSLY, COMMUNICATION 34 C IN ADDITION TO VARIABLES DESCRIBED PREVIOUSLY, COMMUNICATION
35 C WITH PREPJ USES THE FOLLOWING.. 35 C WITH PREPJ USES THE FOLLOWING..
36 C Y = ARRAY CONTAINING PREDICTED VALUES ON ENTRY. 36 C Y = ARRAY CONTAINING PREDICTED VALUES ON ENTRY.
37 C FTEM = WORK ARRAY OF LENGTH N (ACOR IN STODE). 37 C FTEM = WORK ARRAY OF LENGTH N (ACOR IN STODE).
38 C SAVF = ARRAY CONTAINING F EVALUATED AT PREDICTED Y. 38 C SAVF = ARRAY CONTAINING F EVALUATED AT PREDICTED Y.
39 C WM = REAL WORK SPACE FOR MATRICES. ON OUTPUT IT CONTAINS THE 39 C WM = REAL WORK SPACE FOR MATRICES. ON OUTPUT IT CONTAINS THE
40 C INVERSE DIAGONAL MATRIX IF MITER = 3 AND THE LU DECOMPOSITION 40 C INVERSE DIAGONAL MATRIX IF MITER = 3 AND THE LU DECOMPOSITION
41 C OF P IF MITER IS 1, 2 , 4, OR 5. 41 C OF P IF MITER IS 1, 2 , 4, OR 5.
42 C STORAGE OF MATRIX ELEMENTS STARTS AT WM(3). 42 C STORAGE OF MATRIX ELEMENTS STARTS AT WM(3).
43 C WM ALSO CONTAINS THE FOLLOWING MATRIX-RELATED DATA.. 43 C WM ALSO CONTAINS THE FOLLOWING MATRIX-RELATED DATA..
44 C WM(1) = SQRT(UROUND), USED IN NUMERICAL JACOBIAN INCREMENTS. 44 C WM(1) = SQRT(UROUND), USED IN NUMERICAL JACOBIAN INCREMENTS.
45 C WM(2) = H*EL0, SAVED FOR LATER USE IF MITER = 3. 45 C WM(2) = H*EL0, SAVED FOR LATER USE IF MITER = 3.
46 C IWM = INTEGER WORK SPACE CONTAINING PIVOT INFORMATION, STARTING AT 46 C IWM = INTEGER WORK SPACE CONTAINING PIVOT INFORMATION, STARTING AT
47 C IWM(21), IF MITER IS 1, 2, 4, OR 5. IWM ALSO CONTAINS BAND 47 C IWM(21), IF MITER IS 1, 2, 4, OR 5. IWM ALSO CONTAINS BAND
48 C PARAMETERS ML = IWM(1) AND MU = IWM(2) IF MITER IS 4 OR 5. 48 C PARAMETERS ML = IWM(1) AND MU = IWM(2) IF MITER IS 4 OR 5.
49 C EL0 = EL(1) (INPUT). 49 C EL0 = EL(1) (INPUT).
50 C IERPJ = OUTPUT ERROR FLAG, = 0 IF NO TROUBLE, .GT. 0 IF 50 C IERPJ = OUTPUT ERROR FLAG, = 0 IF NO TROUBLE, .GT. 0 IF
51 C P MATRIX FOUND TO BE SINGULAR. 51 C P MATRIX FOUND TO BE SINGULAR.
52 C JCUR = OUTPUT FLAG = 1 TO INDICATE THAT THE JACOBIAN MATRIX 52 C JCUR = OUTPUT FLAG = 1 TO INDICATE THAT THE JACOBIAN MATRIX
53 C (OR APPROXIMATION) IS NOW CURRENT. 53 C (OR APPROXIMATION) IS NOW CURRENT.
54 C THIS ROUTINE ALSO USES THE COMMON VARIABLES EL0, H, TN, UROUND, 54 C THIS ROUTINE ALSO USES THE COMMON VARIABLES EL0, H, TN, UROUND,
55 C MITER, N, NFE, AND NJE. 55 C MITER, N, NFE, AND NJE.
56 C----------------------------------------------------------------------- 56 C-----------------------------------------------------------------------
57 NJE = NJE + 1 57 NJE = NJE + 1
58 IERPJ = 0 58 IERPJ = 0
59 JCUR = 1 59 JCUR = 1
60 HL0 = H*EL0 60 HL0 = H*EL0
61 GO TO (100, 200, 300, 400, 500), MITER 61 GO TO (100, 200, 300, 400, 500), MITER
62 C IF MITER = 1, CALL JAC AND MULTIPLY BY SCALAR. ----------------------- 62 C IF MITER = 1, CALL JAC AND MULTIPLY BY SCALAR. -----------------------
64 DO 110 I = 1,LENP 64 DO 110 I = 1,LENP
65 110 WM(I+2) = 0.0D0 65 110 WM(I+2) = 0.0D0
66 CALL JAC (NEQ, TN, Y, 0, 0, WM(3), N) 66 CALL JAC (NEQ, TN, Y, 0, 0, WM(3), N)
67 CON = -HL0 67 CON = -HL0
68 DO 120 I = 1,LENP 68 DO 120 I = 1,LENP
69 120 WM(I+2) = WM(I+2)*CON 69 120 WM(I+2) = WM(I+2)*CON
70 GO TO 240 70 GO TO 240
71 C IF MITER = 2, MAKE N CALLS TO F TO APPROXIMATE J. -------------------- 71 C IF MITER = 2, MAKE N CALLS TO F TO APPROXIMATE J. --------------------
72 200 FAC = VNORM (N, SAVF, EWT) 72 200 FAC = VNORM (N, SAVF, EWT)
73 R0 = 1000.0D0*DABS(H)*UROUND*DBLE(N)*FAC 73 R0 = 1000.0D0*DABS(H)*UROUND*DBLE(N)*FAC
74 IF (R0 .EQ. 0.0D0) R0 = 1.0D0 74 IF (R0 .EQ. 0.0D0) R0 = 1.0D0
75 SRUR = WM(1) 75 SRUR = WM(1)
76 J1 = 2 76 J1 = 2
77 DO 230 J = 1,N 77 DO 230 J = 1,N
78 YJ = Y(J) 78 YJ = Y(J)
83 CALL F (NEQ, TN, Y, FTEM, IERR) 83 CALL F (NEQ, TN, Y, FTEM, IERR)
84 IF (IERR .LT. 0) RETURN 84 IF (IERR .LT. 0) RETURN
85 DO 220 I = 1,N 85 DO 220 I = 1,N
86 220 WM(I+J1) = (FTEM(I) - SAVF(I))*FAC 86 220 WM(I+J1) = (FTEM(I) - SAVF(I))*FAC
87 Y(J) = YJ 87 Y(J) = YJ
88 J1 = J1 + N 88 J1 = J1 + N
89 230 CONTINUE 89 230 CONTINUE
90 NFE = NFE + N 90 NFE = NFE + N
91 C ADD IDENTITY MATRIX. ------------------------------------------------- 91 C ADD IDENTITY MATRIX. -------------------------------------------------
92 240 J = 3 92 240 J = 3
93 NP1 = N + 1 93 NP1 = N + 1
94 DO 250 I = 1,N 94 DO 250 I = 1,N
95 WM(J) = WM(J) + 1.0D0 95 WM(J) = WM(J) + 1.0D0
96 250 J = J + NP1 96 250 J = J + NP1
97 C DO LU DECOMPOSITION ON P. -------------------------------------------- 97 C DO LU DECOMPOSITION ON P. --------------------------------------------
98 CALL DGETRF ( N, N, WM(3), N, IWM(21), IER) 98 CALL DGETRF ( N, N, WM(3), N, IWM(21), IER)
99 IF (IER .NE. 0) IERPJ = 1 99 IF (IER .NE. 0) IERPJ = 1
100 RETURN 100 RETURN
101 C IF MITER = 3, CONSTRUCT A DIAGONAL APPROXIMATION TO J AND P. --------- 101 C IF MITER = 3, CONSTRUCT A DIAGONAL APPROXIMATION TO J AND P. ---------
102 300 WM(2) = HL0 102 300 WM(2) = HL0
103 R = EL0*0.1D0 103 R = EL0*0.1D0
104 DO 310 I = 1,N 104 DO 310 I = 1,N
105 310 Y(I) = Y(I) + R*(H*SAVF(I) - YH(I,2)) 105 310 Y(I) = Y(I) + R*(H*SAVF(I) - YH(I,2))
106 IERR = 0 106 IERR = 0
107 CALL F (NEQ, TN, Y, WM(3), IERR) 107 CALL F (NEQ, TN, Y, WM(3), IERR)
108 IF (IERR .LT. 0) RETURN 108 IF (IERR .LT. 0) RETURN
109 NFE = NFE + 1 109 NFE = NFE + 1
110 DO 320 I = 1,N 110 DO 320 I = 1,N
111 R0 = H*SAVF(I) - YH(I,2) 111 R0 = H*SAVF(I) - YH(I,2)
112 DI = 0.1D0*R0 - H*(WM(I+2) - SAVF(I)) 112 DI = 0.1D0*R0 - H*(WM(I+2) - SAVF(I))
113 WM(I+2) = 1.0D0 113 WM(I+2) = 1.0D0
114 IF (DABS(R0) .LT. UROUND/EWT(I)) GO TO 320 114 IF (DABS(R0) .LT. UROUND/EWT(I)) GO TO 320
115 IF (DABS(DI) .EQ. 0.0D0) GO TO 330 115 IF (DABS(DI) .EQ. 0.0D0) GO TO 330
116 WM(I+2) = 0.1D0*R0/DI 116 WM(I+2) = 0.1D0*R0/DI
117 320 CONTINUE 117 320 CONTINUE
118 RETURN 118 RETURN
119 330 IERPJ = 1 119 330 IERPJ = 1
120 RETURN 120 RETURN
121 C IF MITER = 4, CALL JAC AND MULTIPLY BY SCALAR. ----------------------- 121 C IF MITER = 4, CALL JAC AND MULTIPLY BY SCALAR. -----------------------
128 DO 410 I = 1,LENP 128 DO 410 I = 1,LENP
129 410 WM(I+2) = 0.0D0 129 410 WM(I+2) = 0.0D0
130 CALL JAC (NEQ, TN, Y, ML, MU, WM(ML3), MEBAND) 130 CALL JAC (NEQ, TN, Y, ML, MU, WM(ML3), MEBAND)
131 CON = -HL0 131 CON = -HL0
132 DO 420 I = 1,LENP 132 DO 420 I = 1,LENP
133 420 WM(I+2) = WM(I+2)*CON 133 420 WM(I+2) = WM(I+2)*CON
134 GO TO 570 134 GO TO 570
135 C IF MITER = 5, MAKE MBAND CALLS TO F TO APPROXIMATE J. ---------------- 135 C IF MITER = 5, MAKE MBAND CALLS TO F TO APPROXIMATE J. ----------------
136 500 ML = IWM(1) 136 500 ML = IWM(1)
137 MU = IWM(2) 137 MU = IWM(2)
138 MBAND = ML + MU + 1 138 MBAND = ML + MU + 1
139 MBA = MIN0(MBAND,N) 139 MBA = MIN0(MBAND,N)
140 MEBAND = MBAND + ML 140 MEBAND = MBAND + ML
141 MEB1 = MEBAND - 1 141 MEB1 = MEBAND - 1
142 SRUR = WM(1) 142 SRUR = WM(1)
143 FAC = VNORM (N, SAVF, EWT) 143 FAC = VNORM (N, SAVF, EWT)
144 R0 = 1000.0D0*DABS(H)*UROUND*DBLE(N)*FAC 144 R0 = 1000.0D0*DABS(H)*UROUND*DBLE(N)*FAC
145 IF (R0 .EQ. 0.0D0) R0 = 1.0D0 145 IF (R0 .EQ. 0.0D0) R0 = 1.0D0
146 DO 560 J = 1,MBA 146 DO 560 J = 1,MBA
147 DO 530 I = J,N,MBAND 147 DO 530 I = J,N,MBAND
148 YI = Y(I) 148 YI = Y(I)
149 R = DMAX1(SRUR*DABS(YI),R0/EWT(I)) 149 R = DMAX1(SRUR*DABS(YI),R0/EWT(I))
150 530 Y(I) = Y(I) + R 150 530 Y(I) = Y(I) + R
151 IERR = 0 151 IERR = 0
152 CALL F (NEQ, TN, Y, FTEM, IERR) 152 CALL F (NEQ, TN, Y, FTEM, IERR)
153 IF (IERR .LT. 0) RETURN 153 IF (IERR .LT. 0) RETURN
154 DO 550 JJ = J,N,MBAND 154 DO 550 JJ = J,N,MBAND
155 Y(JJ) = YH(JJ,1) 155 Y(JJ) = YH(JJ,1)
156 YJJ = Y(JJ) 156 YJJ = Y(JJ)
157 R = DMAX1(SRUR*DABS(YJJ),R0/EWT(JJ)) 157 R = DMAX1(SRUR*DABS(YJJ),R0/EWT(JJ))
158 FAC = -HL0/R 158 FAC = -HL0/R
159 I1 = MAX0(JJ-MU,1) 159 I1 = MAX0(JJ-MU,1)
172 C DO LU DECOMPOSITION OF P. -------------------------------------------- 172 C DO LU DECOMPOSITION OF P. --------------------------------------------
173 CALL DGBTRF ( N, N, ML, MU, WM(3), MEBAND, IWM(21), IER) 173 CALL DGBTRF ( N, N, ML, MU, WM(3), MEBAND, IWM(21), IER)
174 IF (IER .NE. 0) IERPJ = 1 174 IF (IER .NE. 0) IERPJ = 1
175 RETURN 175 RETURN
176 C----------------------- END OF SUBROUTINE PREPJ ----------------------- 176 C----------------------- END OF SUBROUTINE PREPJ -----------------------
177 END 177 END