ScaLAPACK 2.1  2.1
ScaLAPACK: Scalable Linear Algebra PACKage
psnepdriver.f
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1  PROGRAM psnepdriver
2 *
3 * -- ScaLAPACK testing driver (version 1.7) --
4 * University of Tennessee, Knoxville, Oak Ridge National Laboratory,
5 * and University of California, Berkeley.
6 * May 1, 1997
7 *
8 * Purpose
9 * =======
10 *
11 * PSNEPDRIVER is the main test program for the REAL
12 * SCALAPACK NEP routines. This test driver performs a Schur
13 * decomposition followed by residual check of a Hessenberg matrix.
14 *
15 * The program must be driven by a short data file. An annotated
16 * example of a data file can be obtained by deleting the first 3
17 * characters from the following 18 lines:
18 * 'SCALAPACK, Version 1.4, NEP (Nonsymmetric EigenProblem) input file'
19 * 'Intel iPSC/860 hypercube, gamma model.'
20 * 'NEP.out' output file name (if any)
21 * 6 device out
22 * 8 number of problems sizes
23 * 1 2 3 4 6 10 100 200 vales of N
24 * 3 number of NB's
25 * 6 20 40 values of NB
26 * 4 number of process grids (ordered pairs of P & Q)
27 * 1 2 1 4 values of P
28 * 1 2 4 1 values of Q
29 * 20.0 threshold
30 *
31 * Internal Parameters
32 * ===================
33 *
34 * TOTMEM INTEGER, default = 2000000
35 * TOTMEM is a machine-specific parameter indicating the
36 * maximum amount of available memory in bytes.
37 * The user should customize TOTMEM to his platform. Remember
38 * to leave room in memory for the operating system, the BLACS
39 * buffer, etc. For example, on a system with 8 MB of memory
40 * per process (e.g., one processor on an Intel iPSC/860), the
41 * parameters we use are TOTMEM=6200000 (leaving 1.8 MB for OS,
42 * code, BLACS buffer, etc). However, for PVM, we usually set
43 * TOTMEM = 2000000. Some experimenting with the maximum value
44 * of TOTMEM may be required.
45 *
46 * REALSZ INTEGER, default = 4 bytes.
47 * REALSZ indicate the length in bytes on the given platform
48 * for a real element.
49 * MEM REAL array, dimension ( TOTMEM / REALSZ )
50 *
51 * All arrays used by SCALAPACK routines are allocated from
52 * this array and referenced by pointers. The integer IPA,
53 * for example, is a pointer to the starting element of MEM for
54 * the matrix A.
55 *
56 * =====================================================================
57 *
58 * .. Parameters ..
59  INTEGER block_cyclic_2d, csrc_, ctxt_, dlen_, dt_,
60  $ lld_, mb_, m_, nb_, n_, rsrc_
61  parameter( block_cyclic_2d = 1, dlen_ = 9, dt_ = 1,
62  $ ctxt_ = 2, m_ = 3, n_ = 4, mb_ = 5, nb_ = 6,
63  $ rsrc_ = 7, csrc_ = 8, lld_ = 9 )
64  INTEGER realsz, totmem, memsiz, ntests
65  REAL padval, zero, one
66  parameter( realsz = 4, totmem = 2000000,
67  $ memsiz = totmem / realsz, ntests = 20,
68  $ padval = -9923.0e+0, zero = 0.0e+0,
69  $ one = 1.0e+0 )
70 * ..
71 * .. Local Scalars ..
72  LOGICAL check
73  CHARACTER*6 passed
74  CHARACTER*80 outfile
75  INTEGER i, iam, iaseed, ictxt, iii, imidpad, info, ipa,
76  $ ipostpad, iprepad, ipw, ipwi, ipwr, ipz, j, k,
77  $ kfail, kpass, kskip, ktests, lda, ldz, lwork,
78  $ mycol, myrow, n, nb, ngrids, nmat, nnb, nout,
79  $ np, npcol, nprocs, nprow, nq, worksiz
80  REAL thresh
81  REAL anorm, fresid, qresid, znorm
82  DOUBLE PRECISION nops, tmflops
83 * ..
84 * .. Local Arrays ..
85  INTEGER desca( dlen_ ), descz( dlen_ ), ierr( 2 ),
86  $ idum( 1 ), nbval( ntests ), nval( ntests ),
87  $ pval( ntests ), qval( ntests )
88  REAL mem ( memsiz )
89  DOUBLE PRECISION ctime( 1 ), wtime( 1 )
90 * ..
91 * .. External Subroutines ..
92  EXTERNAL blacs_barrier, blacs_exit, blacs_get,
93  $ blacs_gridexit, blacs_gridinfo, blacs_gridinit,
94  $ blacs_pinfo, descinit, igsum2d, pschekpad,
95  $ psfillpad, psgemm, pslahqr, pslaset, psmatgen,
96  $ psnepfchk, psnepinfo, slboot, slcombine,
97  $ sltimer
98 * ..
99 * .. External Functions ..
100  INTEGER ilcm, numroc
101  REAL pslamch, pslange, pslanhs
102  EXTERNAL ilcm, numroc, pslamch, pslange, pslanhs
103 * ..
104 * .. Intrinsic Functions ..
105  INTRINSIC dble, max, min, real
106 * ..
107 * .. Data statements ..
108  DATA kfail, kpass, kskip, ktests / 4*0 /
109 * ..
110 * .. Executable Statements ..
111 *
112 * Get starting information
113 *
114  CALL blacs_pinfo( iam, nprocs )
115  iaseed = 100
116  CALL psnepinfo( outfile, nout, nmat, nval, ntests, nnb, nbval,
117  $ ntests, ngrids, pval, ntests, qval, ntests,
118  $ thresh, mem, iam, nprocs )
119  check = ( thresh.GE.0.0e+0 )
120 *
121 * Print headings
122 *
123  IF( iam.EQ.0 ) THEN
124  WRITE( nout, fmt = * )
125  WRITE( nout, fmt = 9995 )
126  WRITE( nout, fmt = 9994 )
127  WRITE( nout, fmt = * )
128  END IF
129 *
130 * Loop over different process grids
131 *
132  DO 30 i = 1, ngrids
133 *
134  nprow = pval( i )
135  npcol = qval( i )
136 *
137 * Make sure grid information is correct
138 *
139  ierr( 1 ) = 0
140  IF( nprow.LT.1 ) THEN
141  IF( iam.EQ.0 )
142  $ WRITE( nout, fmt = 9999 )'GRID', 'nprow', nprow
143  ierr( 1 ) = 1
144  ELSE IF( npcol.LT.1 ) THEN
145  IF( iam.EQ.0 )
146  $ WRITE( nout, fmt = 9999 )'GRID', 'npcol', npcol
147  ierr( 1 ) = 1
148  ELSE IF( nprow*npcol.GT.nprocs ) THEN
149  IF( iam.EQ.0 )
150  $ WRITE( nout, fmt = 9998 )nprow*npcol, nprocs
151  ierr( 1 ) = 1
152  END IF
153 *
154  IF( ierr( 1 ).GT.0 ) THEN
155  IF( iam.EQ.0 )
156  $ WRITE( nout, fmt = 9997 )'grid'
157  kskip = kskip + 1
158  GO TO 30
159  END IF
160 *
161 * Define process grid
162 *
163  CALL blacs_get( -1, 0, ictxt )
164  CALL blacs_gridinit( ictxt, 'Row-major', nprow, npcol )
165  CALL blacs_gridinfo( ictxt, nprow, npcol, myrow, mycol )
166 *
167 * Go to bottom of process grid loop if this case doesn't use my
168 * process
169 *
170  IF( myrow.GE.nprow .OR. mycol.GE.npcol )
171  $ GO TO 30
172 *
173  DO 20 j = 1, nmat
174 *
175  n = nval( j )
176 *
177 * Make sure matrix information is correct
178 *
179  ierr( 1 ) = 0
180  IF( n.LT.1 ) THEN
181  IF( iam.EQ.0 )
182  $ WRITE( nout, fmt = 9999 )'MATRIX', 'N', n
183  ierr( 1 ) = 1
184  END IF
185 *
186 * Check all processes for an error
187 *
188  CALL igsum2d( ictxt, 'All', ' ', 1, 1, ierr, 1, -1, 0 )
189 *
190  IF( ierr( 1 ).GT.0 ) THEN
191  IF( iam.EQ.0 )
192  $ WRITE( nout, fmt = 9997 )'matrix'
193  kskip = kskip + 1
194  GO TO 20
195  END IF
196 *
197  DO 10 k = 1, nnb
198 *
199  nb = nbval( k )
200 *
201 * Make sure nb is legal
202 *
203  ierr( 1 ) = 0
204  IF( nb.LT.6 ) THEN
205  ierr( 1 ) = 1
206  IF( iam.EQ.0 )
207  $ WRITE( nout, fmt = 9999 )'NB', 'NB', nb
208  END IF
209 *
210 * Check all processes for an error
211 *
212  CALL igsum2d( ictxt, 'All', ' ', 1, 1, ierr, 1, -1, 0 )
213 *
214  IF( ierr( 1 ).GT.0 ) THEN
215  IF( iam.EQ.0 )
216  $ WRITE( nout, fmt = 9997 )'NB'
217  kskip = kskip + 1
218  GO TO 10
219  END IF
220 *
221 * Padding constants
222 *
223  np = numroc( n, nb, myrow, 0, nprow )
224  nq = numroc( n, nb, mycol, 0, npcol )
225  IF( check ) THEN
226  iprepad = max( nb, np )
227  imidpad = nb
228  ipostpad = max( nb, nq )
229  iprepad = iprepad + 1000
230  imidpad = imidpad + 1000
231  ipostpad = ipostpad + 1000
232  ELSE
233  iprepad = 0
234  imidpad = 0
235  ipostpad = 0
236  END IF
237 *
238 * Initialize the array descriptor for the matrix A
239 *
240  CALL descinit( desca, n, n, nb, nb, 0, 0, ictxt,
241  $ max( 1, np )+imidpad, ierr( 1 ) )
242 *
243 * Initialize the array descriptor for the matrix Z
244 *
245  CALL descinit( descz, n, n, nb, nb, 0, 0, ictxt,
246  $ max( 1, np )+imidpad, ierr( 2 ) )
247 *
248  lda = desca( lld_ )
249  ldz = descz( lld_ )
250 *
251 * Check all processes for an error
252 *
253  CALL igsum2d( ictxt, 'All', ' ', 2, 1, ierr, 2, -1, 0 )
254 *
255  IF( ierr( 1 ).LT.0 .OR. ierr( 2 ).LT.0 ) THEN
256  IF( iam.EQ.0 )
257  $ WRITE( nout, fmt = 9997 )'descriptor'
258  kskip = kskip + 1
259  GO TO 10
260  END IF
261 *
262 * Assign pointers into MEM for SCALAPACK arrays, A is
263 * allocated starting at position MEM( IPREPAD+1 )
264 *
265  ipa = iprepad + 1
266  ipz = ipa + desca( lld_ )*nq + ipostpad + iprepad
267  ipwr = ipz + descz( lld_ )*nq + ipostpad + iprepad
268  ipwi = ipwr + n + ipostpad + iprepad
269  ipw = ipwi + n + ipostpad + iprepad
270  iii = n / nb
271  IF( iii*nb.LT.n )
272  $ iii = iii + 1
273  iii = 7*iii / ilcm( nprow, npcol )
274 *
275 *
276  lwork = 3*n + max( 2*max( lda, ldz )+2*nq, iii )
277  lwork = lwork + max(2*n, (8*ilcm(nprow,npcol)+2)**2 )
278 *
279  IF( check ) THEN
280 *
281 * Figure the amount of workspace required by the
282 * checking routines PSNEPFCHK and PSLANHS
283 *
284  worksiz = lwork + max( np*desca( nb_ ),
285  $ desca( mb_ )*nq ) + ipostpad
286 *
287  ELSE
288 *
289  worksiz = lwork + ipostpad
290 *
291  END IF
292 *
293 * Check for adequate memory for problem size
294 *
295  ierr( 1 ) = 0
296  IF( ipw+worksiz.GT.memsiz ) THEN
297  IF( iam.EQ.0 )
298  $ WRITE( nout, fmt = 9996 )'Schur reduction',
299  $ ( ipw+worksiz )*realsz
300  ierr( 1 ) = 1
301  END IF
302 *
303 * Check all processes for an error
304 *
305  CALL igsum2d( ictxt, 'All', ' ', 1, 1, ierr, 1, -1, 0 )
306 *
307  IF( ierr( 1 ).GT.0 ) THEN
308  IF( iam.EQ.0 )
309  $ WRITE( nout, fmt = 9997 )'MEMORY'
310  kskip = kskip + 1
311  GO TO 10
312  END IF
313 *
314 * Generate matrix Z = In
315 *
316  CALL pslaset( 'All', n, n, zero, one, mem( ipz ), 1, 1,
317  $ descz )
318 *
319 * Generate matrix A upper Hessenberg
320 *
321  CALL psmatgen( ictxt, 'No transpose', 'No transpose',
322  $ desca( m_ ), desca( n_ ), desca( mb_ ),
323  $ desca( nb_ ), mem( ipa ), desca( lld_ ),
324  $ desca( rsrc_ ), desca( csrc_ ), iaseed, 0,
325  $ np, 0, nq, myrow, mycol, nprow, npcol )
326  CALL pslaset( 'Lower', max( 0, n-2 ), max( 0, n-2 ),
327  $ zero, zero, mem( ipa ), min( n, 3 ), 1,
328  $ desca )
329 *
330 * Calculate inf-norm of A for residual error-checking
331 *
332  IF( check ) THEN
333  CALL psfillpad( ictxt, np, nq, mem( ipa-iprepad ),
334  $ desca( lld_ ), iprepad, ipostpad,
335  $ padval )
336  CALL psfillpad( ictxt, np, nq, mem( ipz-iprepad ),
337  $ descz( lld_ ), iprepad, ipostpad,
338  $ padval )
339  CALL psfillpad( ictxt, worksiz-ipostpad, 1,
340  $ mem( ipw-iprepad ), worksiz-ipostpad,
341  $ iprepad, ipostpad, padval )
342  anorm = pslanhs( 'I', n, mem( ipa ), 1, 1, desca,
343  $ mem( ipw ) )
344  CALL pschekpad( ictxt, 'PSLANHS', np, nq,
345  $ mem( ipa-iprepad ), desca( lld_ ),
346  $ iprepad, ipostpad, padval )
347  CALL pschekpad( ictxt, 'PSLANHS', worksiz-ipostpad, 1,
348  $ mem( ipw-iprepad ), worksiz-ipostpad,
349  $ iprepad, ipostpad, padval )
350 *
351  CALL psfillpad( ictxt, n, 1, mem( ipwr-iprepad ), n,
352  $ iprepad, ipostpad, padval )
353  CALL psfillpad( ictxt, n, 1, mem( ipwi-iprepad ), n,
354  $ iprepad, ipostpad, padval )
355  CALL psfillpad( ictxt, lwork, 1, mem( ipw-iprepad ),
356  $ lwork, iprepad, ipostpad, padval )
357 *
358  END IF
359 *
360  CALL slboot( )
361  CALL blacs_barrier( ictxt, 'All' )
362  CALL sltimer( 1 )
363 *
364 * Perform NEP factorization
365 *
366  CALL pslahqr( .true., .true., n, 1, n, mem( ipa ), desca,
367  $ mem( ipwr ), mem( ipwi ), 1, n, mem( ipz ),
368  $ descz, mem( ipw ), lwork, idum, 0, info )
369 *
370  CALL sltimer( 1 )
371 *
372  IF( info.NE.0 ) THEN
373  IF( iam.EQ.0 )
374  $ WRITE( nout, fmt = * )'PSLAHQR INFO=', info
375  kfail = kfail + 1
376  GO TO 10
377  END IF
378 *
379  IF( check ) THEN
380 *
381 * Check for memory overwrite in NEP factorization
382 *
383  CALL pschekpad( ictxt, 'PSLAHQR (A)', np, nq,
384  $ mem( ipa-iprepad ), desca( lld_ ),
385  $ iprepad, ipostpad, padval )
386  CALL pschekpad( ictxt, 'PSLAHQR (Z)', np, nq,
387  $ mem( ipz-iprepad ), descz( lld_ ),
388  $ iprepad, ipostpad, padval )
389  CALL pschekpad( ictxt, 'PSLAHQR (WR)', n, 1,
390  $ mem( ipwr-iprepad ), n, iprepad,
391  $ ipostpad, padval )
392  CALL pschekpad( ictxt, 'PSLAHQR (WI)', n, 1,
393  $ mem( ipwi-iprepad ), n, iprepad,
394  $ ipostpad, padval )
395  CALL pschekpad( ictxt, 'PSLAHQR (WORK)', lwork, 1,
396  $ mem( ipw-iprepad ), lwork, iprepad,
397  $ ipostpad, padval )
398 *
399  CALL psfillpad( ictxt, worksiz-ipostpad, 1,
400  $ mem( ipw-iprepad ), worksiz-ipostpad,
401  $ iprepad, ipostpad, padval )
402 *
403 * Compute || Z * H * Z**T - H0 || / ( N*|| H0 ||*EPS )
404 *
405  CALL psnepfchk( n, mem( ipa ), 1, 1, desca, iaseed,
406  $ mem( ipz ), 1, 1, descz, anorm,
407  $ fresid, mem( ipw ) )
408 *
409  CALL pschekpad( ictxt, 'PSNEPFCHK (A)', np, nq,
410  $ mem( ipa-iprepad ), desca( lld_ ),
411  $ iprepad, ipostpad, padval )
412  CALL pschekpad( ictxt, 'PSNEPFCHK (Z)', np, nq,
413  $ mem( ipz-iprepad ), descz( lld_ ),
414  $ iprepad, ipostpad, padval )
415  CALL pschekpad( ictxt, 'PSNEPFCHK (WORK)',
416  $ worksiz-ipostpad, 1,
417  $ mem( ipw-iprepad ), worksiz-ipostpad,
418  $ iprepad, ipostpad, padval )
419 *
420 * Compute || (Z**T)*Z - In ||_1
421 *
422  CALL pslaset( 'All', n, n, zero, one, mem( ipa ), 1,
423  $ 1, desca )
424  CALL psgemm( 'Transpose', 'No transpose', n, n, n,
425  $ -one, mem( ipz ), 1, 1, descz,
426  $ mem( ipz ), 1, 1, descz, one, mem( ipa ),
427  $ 1, 1, desca )
428  znorm = pslange( '1', n, n, mem( ipa ), 1, 1, desca,
429  $ mem( ipw ) )
430  qresid = znorm / ( real( n )*pslamch( ictxt, 'P' ) )
431 *
432 * Test residual and detect NaN result
433 *
434  IF( ( fresid.LE.thresh ) .AND.
435  $ ( ( fresid-fresid ).EQ.0.0e+0 ) .AND.
436  $ ( qresid.LE.thresh ) .AND.
437  $ ( ( qresid-qresid ).EQ.0.0e+0 ) ) THEN
438  kpass = kpass + 1
439  passed = 'PASSED'
440  ELSE
441  kfail = kfail + 1
442  passed = 'FAILED'
443  IF( iam.EQ.0 ) THEN
444  WRITE( nout, fmt = 9986 )fresid
445  WRITE( nout, fmt = 9985 )qresid
446  END IF
447  END IF
448 *
449  ELSE
450 *
451 * Don't perform the checking, only timing
452 *
453  kpass = kpass + 1
454  fresid = fresid - fresid
455  qresid = qresid - qresid
456  passed = 'BYPASS'
457 *
458  END IF
459 *
460 * Gather maximum of all CPU and WALL clock timings
461 *
462  CALL slcombine( ictxt, 'All', '>', 'W', 1, 1, wtime )
463  CALL slcombine( ictxt, 'All', '>', 'C', 1, 1, ctime )
464 *
465 * Print results
466 *
467  IF( myrow.EQ.0 .AND. mycol.EQ.0 ) THEN
468 *
469 * 18 N^3 flops for PxLAHQR
470 *
471  nops = 18.0d+0*dble( n )**3
472 *
473 * Calculate total megaflops -- factorization only,
474 * -- for WALL and CPU time, and print output
475 *
476 * Print WALL time if machine supports it
477 *
478  IF( wtime( 1 ).GT.0.0d+0 ) THEN
479  tmflops = nops / ( wtime( 1 )*1.0d+6 )
480  ELSE
481  tmflops = 0.0d+0
482  END IF
483  IF( wtime( 1 ).GE.0.0d+0 )
484  $ WRITE( nout, fmt = 9993 )'WALL', n, nb, nprow,
485  $ npcol, wtime( 1 ), tmflops, passed
486 *
487 * Print CPU time if machine supports it
488 *
489  IF( ctime( 1 ).GT.0.0d+0 ) THEN
490  tmflops = nops / ( ctime( 1 )*1.0d+6 )
491  ELSE
492  tmflops = 0.0d+0
493  END IF
494 *
495  IF( ctime( 1 ).GE.0.0d+0 )
496  $ WRITE( nout, fmt = 9993 )'CPU ', n, nb, nprow,
497  $ npcol, ctime( 1 ), tmflops, passed
498  END IF
499 *
500  10 CONTINUE
501 *
502  20 CONTINUE
503 *
504  CALL blacs_gridexit( ictxt )
505 *
506  30 CONTINUE
507 *
508 * Print ending messages and close output file
509 *
510  IF( iam.EQ.0 ) THEN
511  ktests = kpass + kfail + kskip
512  WRITE( nout, fmt = * )
513  WRITE( nout, fmt = 9992 )ktests
514  IF( check ) THEN
515  WRITE( nout, fmt = 9991 )kpass
516  WRITE( nout, fmt = 9989 )kfail
517  ELSE
518  WRITE( nout, fmt = 9990 )kpass
519  END IF
520  WRITE( nout, fmt = 9988 )kskip
521  WRITE( nout, fmt = * )
522  WRITE( nout, fmt = * )
523  WRITE( nout, fmt = 9987 )
524  IF( nout.NE.6 .AND. nout.NE.0 )
525  $ CLOSE ( nout )
526  END IF
527 *
528  CALL blacs_exit( 0 )
529 *
530  9999 FORMAT( 'ILLEGAL ', a6, ': ', a5, ' = ', i3,
531  $ '; It should be at least 1' )
532  9998 FORMAT( 'ILLEGAL GRID: nprow*npcol = ', i4, '. It can be at most',
533  $ i4 )
534  9997 FORMAT( 'Bad ', a6, ' parameters: going on to next test case.' )
535  9996 FORMAT( 'Unable to perform ', a, ': need TOTMEM of at least',
536  $ i11 )
537  9995 FORMAT( 'TIME N NB P Q NEP Time MFLOPS CHECK' )
538  9994 FORMAT( '---- ----- --- ---- ---- -------- -------- ------' )
539  9993 FORMAT( a4, 1x, i5, 1x, i3, 1x, i4, 1x, i4, 1x, f8.2, 1x, f8.2,
540  $ 1x, a6 )
541  9992 FORMAT( 'Finished ', i6, ' tests, with the following results:' )
542  9991 FORMAT( i5, ' tests completed and passed residual checks.' )
543  9990 FORMAT( i5, ' tests completed without checking.' )
544  9989 FORMAT( i5, ' tests completed and failed residual checks.' )
545  9988 FORMAT( i5, ' tests skipped because of illegal input values.' )
546  9987 FORMAT( 'END OF TESTS.' )
547  9986 FORMAT( '||H - Q*S*Q^T|| / (||H|| * N * eps) = ', g25.7 )
548  9985 FORMAT( '||Q^T*Q - I|| / ( N * eps ) ', g25.7 )
549 *
550  stop
551 *
552 * End of PSNEPDRIVER
553 *
554  END
pslamch
real function pslamch(ICTXT, CMACH)
Definition: pcblastst.f:7455
max
#define max(A, B)
Definition: pcgemr.c:180
pslanhs
real function pslanhs(NORM, N, A, IA, JA, DESCA, WORK)
Definition: pslanhs.f:3
ilcm
integer function ilcm(M, N)
Definition: ilcm.f:2
pslange
real function pslange(NORM, M, N, A, IA, JA, DESCA, WORK)
Definition: pslange.f:3
psnepfchk
subroutine psnepfchk(N, A, IA, JA, DESCA, IASEED, Z, IZ, JZ, DESCZ, ANORM, FRESID, WORK)
Definition: psnepfchk.f:3
sltimer
subroutine sltimer(I)
Definition: sltimer.f:47
psnepdriver
program psnepdriver
Definition: psnepdriver.f:1
pschekpad
subroutine pschekpad(ICTXT, MESS, M, N, A, LDA, IPRE, IPOST, CHKVAL)
Definition: pschekpad.f:3
descinit
subroutine descinit(DESC, M, N, MB, NB, IRSRC, ICSRC, ICTXT, LLD, INFO)
Definition: descinit.f:3
slboot
subroutine slboot()
Definition: sltimer.f:2
psmatgen
subroutine psmatgen(ICTXT, AFORM, DIAG, M, N, MB, NB, A, LDA, IAROW, IACOL, ISEED, IROFF, IRNUM, ICOFF, ICNUM, MYROW, MYCOL, NPROW, NPCOL)
Definition: psmatgen.f:4
psnepinfo
subroutine psnepinfo(SUMMRY, NOUT, NMAT, NVAL, LDNVAL, NNB, NBVAL, LDNBVAL, NGRIDS, PVAL, LDPVAL, QVAL, LDQVAL, THRESH, WORK, IAM, NPROCS)
Definition: psnepinfo.f:4
numroc
integer function numroc(N, NB, IPROC, ISRCPROC, NPROCS)
Definition: numroc.f:2
pslahqr
subroutine pslahqr(WANTT, WANTZ, N, ILO, IHI, A, DESCA, WR, WI, ILOZ, IHIZ, Z, DESCZ, WORK, LWORK, IWORK, ILWORK, INFO)
Definition: pslahqr.f:4
psfillpad
subroutine psfillpad(ICTXT, M, N, A, LDA, IPRE, IPOST, CHKVAL)
Definition: psfillpad.f:2
pslaset
subroutine pslaset(UPLO, M, N, ALPHA, BETA, A, IA, JA, DESCA)
Definition: psblastst.f:6863
slcombine
subroutine slcombine(ICTXT, SCOPE, OP, TIMETYPE, N, IBEG, TIMES)
Definition: sltimer.f:267
min
#define min(A, B)
Definition: pcgemr.c:181