libsundials-serial-dev 2.5.0-3+b3 / usr / share / doc / libsundials-serial-dev / examples / cvode / fcmix_parallel / fcvDiag_kry_p.f

This file is indexed.

/usr/share/doc/libsundials-serial-dev/examples/cvode/fcmix_parallel/fcvDiag_kry_p.f is in libsundials-serial-dev 2.5.0-3+b3.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below. 

  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
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
C     ----------------------------------------------------------------
C     $Revision: 1.1 $
C     $Date: 2009/03/11 23:17:13 $
C     ----------------------------------------------------------------
C     Diagonal ODE example. Stiff case, with BDF/SPGMR, diagonal
C     preconditioner. Solved with preconditioning on left, then with
C     preconditioning on right.
C     ----------------------------------------------------------------
C
C     Include MPI-Fortran header file for MPI_COMM_WORLD, MPI types.
C
      IMPLICIT NONE
C
      INCLUDE "mpif.h"
C
      INTEGER*4 NLOCAL
      PARAMETER (NLOCAL=10)
C
      INTEGER LNST, LNFE, LNSETUP, LNNI, LNCF, LNETF, LNPE, LNLI, LNPS
      INTEGER LNCFL, NOUT, MYPE, NPES, IER, METH, ITMETH, IATOL
      INTEGER ITASK, IPRE, IGS, JOUT
      INTEGER*4 IOUT(25), IPAR(2)
      INTEGER*4 NEQ, I, NST, NFE, NPSET, NPE, NPS, NNI, NLI
      INTEGER*4 NCFL, NETF, NCFN
      DOUBLE PRECISION Y(1024), ROUT(10), RPAR(1)
      DOUBLE PRECISION ATOL, DTOUT, T, ALPHA, RTOL, TOUT, ERMAX, ERRI
      DOUBLE PRECISION GERMAX, AVDIM
C
      DATA ATOL/1.0D-10/, RTOL/1.0D-5/, DTOUT/0.1D0/, NOUT/10/
      DATA LNST/3/, LNFE/4/, LNETF/5/,  LNCF/6/, LNNI/7/, LNSETUP/8/, 
     1     LNPE/18/, LNLI/20/, LNPS/19/, LNCFL/21/
C
C     Get NPES and MYPE.  Requires initialization of MPI.
      CALL MPI_INIT(IER)
      IF (IER .NE. 0) THEN
        WRITE(6,5) IER
 5      FORMAT(///' MPI_ERROR: MPI_INIT returned IER = ', I5)
        STOP
        ENDIF
      CALL MPI_COMM_SIZE(MPI_COMM_WORLD, NPES, IER)
      IF (IER .NE. 0) THEN
        WRITE(6,6) IER
 6      FORMAT(///' MPI_ERROR: MPI_COMM_SIZE returned IER = ', I5)
        CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
        STOP
        ENDIF
      CALL MPI_COMM_RANK(MPI_COMM_WORLD, MYPE, IER)
      IF (IER .NE. 0) THEN
        WRITE(6,7) IER
 7      FORMAT(///' MPI_ERROR: MPI_COMM_RANK returned IER = ', I5)
        CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
        STOP
        ENDIF
C
C     Set input arguments.
      NEQ = NPES * NLOCAL
      T = 0.0D0
      METH = 2
      ITMETH = 2
      IATOL = 1
      ITASK = 1
      IPRE = 1
      IGS = 1
C     Set parameter alpha.
      ALPHA  = 10.0D0
C
C     Load IPAR and RPAR
      IPAR(1) = NLOCAL
      IPAR(2) = MYPE
      RPAR(1) = ALPHA
C
C     Do remaining initializations for first case: IPRE = 1 (prec. on left).
C
      DO 10 I = 1, NLOCAL
  10    Y(I) = 1.0D0
C
      IF (MYPE .EQ. 0) THEN
        WRITE(6,11) NEQ, ALPHA
  11    FORMAT('Diagonal test problem:'//' NEQ = ', I3,
     1         ' parameter alpha = ', F8.3)
        WRITE(6,12)
  12    FORMAT(' ydot_i = -alpha*i * y_i (i = 1,...,NEQ)')
        WRITE(6,13) RTOL, ATOL
  13    FORMAT(' RTOL, ATOL = ', 2E10.1)
        WRITE(6,14)
  14    FORMAT(' Method is BDF/NEWTON/SPGMR'/
     1         ' Diagonal preconditioner uses approximate Jacobian')
        WRITE(6,15) NPES
  15    FORMAT(' Number of processors = ', I3)
        WRITE(6,16)
  16    FORMAT(//'Preconditioning on left'/)
        ENDIF
C
      CALL FNVINITP(MPI_COMM_WORLD, 1, NLOCAL, NEQ, IER)
C
      IF (IER .NE. 0) THEN
        WRITE(6,20) IER
  20    FORMAT(///' SUNDIALS_ERROR: FNVINITP returned IER = ', I5)
        CALL MPI_FINALIZE(IER)
        STOP
        ENDIF
C
      CALL FCVMALLOC(T, Y, METH, ITMETH, IATOL, RTOL, ATOL,
     1               IOUT, ROUT, IPAR, RPAR, IER)
C
      IF (IER .NE. 0) THEN
        WRITE(6,30) IER
  30    FORMAT(///' SUNDIALS_ERROR: FCVMALLOC returned IER = ', I5)
        CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
        STOP
        ENDIF
C
      CALL FCVSPGMR (IPRE, IGS, 0, 0.0D0, IER)
      IF (IER .NE. 0) THEN
        WRITE(6,35) IER
  35    FORMAT(///' SUNDIALS_ERROR: FCVSPGMR returned IER = ', I5)
        CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
        STOP
        ENDIF
C
        CALL FCVSPILSSETPREC(1, IER)
C
C     Loop through tout values, call solver, print output, test for failure.
      TOUT = DTOUT
      DO 70 JOUT = 1, NOUT
C
        CALL FCVODE(TOUT, T, Y, ITASK, IER)
C
        IF (MYPE .EQ. 0) WRITE(6,40) T, IOUT(LNST), IOUT(LNFE)
  40    FORMAT(' t = ', E10.2, 5X, 'no. steps = ', I5,
     &         '   no. f-s = ', I5)
C
        IF (IER .NE. 0) THEN
          WRITE(6,60) IER, IOUT(15)
  60      FORMAT(///' SUNDIALS_ERROR: FCVODE returned IER = ', I5, /,
     &           '                 Linear Solver returned IER = ', I5)
          CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
          STOP
          ENDIF
C
        TOUT = TOUT + DTOUT
  70    CONTINUE
C
C     Get max. absolute error in the local vector.
      ERMAX = 0.0D0
      DO 75 I = 1, NLOCAL
        ERRI  = Y(I) - EXP(-ALPHA * (MYPE * NLOCAL + I) * T)
  75    ERMAX = MAX(ERMAX, ABS(ERRI))
C     Get global max. error from MPI_REDUCE call.
      CALL MPI_REDUCE(ERMAX, GERMAX, 1, MPI_DOUBLE_PRECISION, MPI_MAX,
     1                0, MPI_COMM_WORLD, IER)
      IF (IER .NE. 0) THEN
        WRITE(6,80) IER
  80    FORMAT(///' MPI_ERROR: MPI_REDUCE returned IER = ', I5)
        CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
        STOP
        ENDIF
      IF (MYPE .EQ. 0) WRITE(6,85) GERMAX
  85  FORMAT(/'Max. absolute error is ', E10.2/)
C
C     Print final statistics.
      NST = IOUT(LNST)
      NFE = IOUT(LNFE)
      NPSET = IOUT(LNSETUP)
      NPE = IOUT(LNPE)
      NPS = IOUT(LNPS)
      NNI = IOUT(LNNI)
      NLI = IOUT(LNLI)
      AVDIM = DBLE(NLI) / DBLE(NNI)
      NCFN = IOUT(LNCF)
      NCFL = IOUT(LNCFL)
      NETF = IOUT(LNETF)
      IF (MYPE .EQ. 0)
     1  WRITE (6,90) NST, NFE, NPSET, NPE, NPS, NNI, NLI, AVDIM, NCFN,
     &               NCFL, NETF
  90  FORMAT(/'Final statistics:'//
     &       ' number of steps        = ', I5, 5X,
     &       'number of f evals.     =', I5/
     &       ' number of prec. setups = ', I5/
     &       ' number of prec. evals. = ', I5, 5X,
     &       'number of prec. solves = ', I5/
     &       ' number of nonl. iters. = ', I5, 5X,
     &       'number of lin. iters.  = ', I5/
     &       ' average Krylov subspace dimension (NLI/NNI)  = ', F8.4/
     &       ' number of conv. failures.. nonlinear = ', I3,
     &       '  linear = ', I3/
     &       ' number of error test failures = ', I3)
C
C     Re-initialize to run second case: IPRE = 2 (prec. on right).
      IPRE = 2
      T = 0.0D0
      DO 110 I = 1, NLOCAL
 110    Y(I) = 1.0D0
C
      IF (MYPE .EQ. 0)  WRITE(6,111) 
 111  FORMAT(//60('-')///'Preconditioning on right'/)
C
      CALL FCVREINIT(T, Y, IATOL, RTOL, ATOL, IER)
C
      IF (IER .NE. 0) THEN
        WRITE(6,130) IER
 130    FORMAT(///' SUNDIALS_ERROR: FCVREINIT returned IER = ', I5)
        CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
        STOP
      ENDIF
C
      CALL FCVSPGMRREINIT (IPRE, IGS, 0.0D0, IER)
      IF (IER .NE. 0) THEN
         WRITE(6,140) IER
 140     FORMAT(///' SUNDIALS_ERROR: FCVSPGMRREINIT returned IER = ',I5)
         CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
         STOP
      ENDIF
C
C     Loop through tout values, call solver, print output, test for failure.
      TOUT = DTOUT
      DO 170 JOUT = 1, NOUT
C
        CALL FCVODE(TOUT, T, Y, ITASK, IER)
C
        IF (MYPE .EQ. 0) WRITE(6,40) T, IOUT(LNST), IOUT(LNFE)
C
        IF (IER .NE. 0) THEN
          WRITE(6,60) IER
          CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
          STOP
          ENDIF
C
        TOUT = TOUT + DTOUT
 170    CONTINUE
C
C     Get max. absolute error in the local vector.
      ERMAX = 0.0D0
      DO 175 I = 1, NLOCAL
        ERRI  = Y(I) - EXP(-ALPHA * (MYPE * NLOCAL + I) * T)
 175    ERMAX = MAX(ERMAX, ABS(ERRI))
C     Get global max. error from MPI_REDUCE call.
      CALL MPI_REDUCE(ERMAX, GERMAX, 1, MPI_DOUBLE_PRECISION, MPI_MAX,
     1                0, MPI_COMM_WORLD, IER)
      IF (IER .NE. 0) THEN
        WRITE(6,80) IER
        CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
        STOP
      ENDIF
      IF (MYPE .EQ. 0) WRITE(6,85) GERMAX
C     
C     Print final statistics.
      NST = IOUT(LNST)
      NFE = IOUT(LNFE)
      NPSET = IOUT(LNSETUP)
      NPE = IOUT(LNPE)
      NPS = IOUT(LNPS)
      NNI = IOUT(LNNI)
      NLI = IOUT(LNLI)
      AVDIM = DBLE(NLI) / DBLE(NNI)
      NCFN = IOUT(LNCF)
      NCFL = IOUT(LNCFL)
      NETF = IOUT(LNETF)
      IF (MYPE .EQ. 0)
     1  WRITE (6,90) NST, NFE, NPSET, NPE, NPS, NNI, NLI, AVDIM, NCFN,
     &               NCFL, NETF
C
C     Free the memory and finalize MPI.
      CALL FCVFREE
      CALL MPI_FINALIZE(IER)
      IF (IER .NE. 0) THEN
        WRITE(6,195) IER
 195    FORMAT(///' MPI_ERROR: MPI_FINALIZE returned IER = ', I5)
        STOP
        ENDIF
C
      STOP
      END
C
C     ------------------------------------------------------------------------
C
      SUBROUTINE FCVFUN(T, Y, YDOT, IPAR, RPAR, IER)
C     Routine for right-hand side function f
      IMPLICIT NONE
C
      INTEGER*4 IPAR(*), IER
      DOUBLE PRECISION T, Y(*), YDOT(*), RPAR(*)
C
      INTEGER*4 I, MYPE, NLOCAL
      DOUBLE PRECISION ALPHA
C
      NLOCAL = IPAR(1)
      MYPE = IPAR(2)
      ALPHA = RPAR(1)
C
      DO I = 1, NLOCAL
         YDOT(I) = -ALPHA * (MYPE * NLOCAL + I) * Y(I)
      ENDDO
C
      IER = 0
C
      RETURN
      END
C
C     ------------------------------------------------------------------------
C
      SUBROUTINE FCVPSOL(T, Y, FY, R, Z, GAMMA, DELTA, LR,
     &                   IPAR, RPAR, VTEMP, IER)
C     Routine to solve preconditioner linear system
C     This routine uses a diagonal preconditioner P = I - gamma*J,
C     where J is a diagonal approximation to the true Jacobian, given by:
C     J = diag(0, 0, 0, -4*alpha, ..., -N*alpha).
C     The vector r is copied to z, and the inverse of P (restricted to the
C     local vector segment) is applied to the vector z.
      IMPLICIT NONE
C
      INTEGER IER, LR
      INTEGER*4 IPAR(*)
      DOUBLE PRECISION T, Y(*), FY(*), R(*), Z(*)
      DOUBLE PRECISION GAMMA, DELTA, RPAR(*)
      DOUBLE PRECISION VTEMP(*)
C
      INTEGER*4 I, MYPE, NLOCAL, ISTART, IBASE
      DOUBLE PRECISION PSUBI, ALPHA
C
      NLOCAL = IPAR(1)
      MYPE = IPAR(2)
      ALPHA = RPAR(1)
C
      DO I = 1, NLOCAL
         Z(I) = R(I)
      ENDDO
C
      IBASE = MYPE * NLOCAL
      ISTART = MAX(1, 4 - IBASE)
      DO I = ISTART, NLOCAL
        PSUBI = 1.0D0 + GAMMA * ALPHA * (IBASE + I)
        Z(I) = Z(I) / PSUBI
      ENDDO
C
      RETURN
      END
C
C     ------------------------------------------------------------------------
C
      SUBROUTINE FCVPSET(T, Y, FY, JOK, JCUR, GAMMA, H,
     &                   IPAR, RPAR, V1, V2, V3, IER)
C     Empty function. Not needed for the preconditioner, but required
C     by the  FCVODE module.
      RETURN
      END

APT Browse - Built by Thomas Orozco.