ScaLAPACK 2.1  2.1 ScaLAPACK: Scalable Linear Algebra PACKage
pzgseptst.f
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1 *
2 *
3  SUBROUTINE pzgseptst( DESCA, UPLO, N, MATTYPE, IBTYPE, SUBTESTS,
4  \$ THRESH, ORDER, ABSTOL, ISEED, A, COPYA, B,
5  \$ COPYB, Z, LDA, WIN, WNEW, IFAIL, ICLUSTR,
7  \$ LRWORK, IWORK, LIWORK, NOUT, INFO )
8 *
9 * -- ScaLAPACK routine (version 1.7) --
10 * University of Tennessee, Knoxville, Oak Ridge National Laboratory,
11 * and University of California, Berkeley.
12 * November 15, 1997
13 *
14 * .. Scalar Arguments ..
15  CHARACTER SUBTESTS, UPLO
17  \$ LRWORK, LWORK, MATTYPE, N, NOUT, ORDER
18  DOUBLE PRECISION ABSTOL, THRESH
19 * ..
20 * .. Array Arguments ..
21  INTEGER DESCA( * ), ICLUSTR( * ), IFAIL( * ),
22  \$ iseed( 4 ), iwork( * )
23  DOUBLE PRECISION GAP( * ), RWORK( * ), WIN( * ), WNEW( * )
24  COMPLEX*16 A( LDA, * ), B( LDA, * ), COPYA( LDA, * ),
25  \$ copyb( lda, * ), work( * ), z( lda, * )
26 * ..
27 *
28 * Purpose
29 * =======
30 *
31 * PZGSEPTST builds a random matrix A, and a well conditioned
32 * matrix B, runs PZHEGVX() to compute the eigenvalues
33 * and eigenvectors and then calls PZHEGVCHK to compute
34 * the residual.
35 *
36 * The random matrix built depends upon the following parameters:
37 * N, NB, ISEED, ORDER
38 *
39 * Arguments
40 * =========
41 *
42 * NP = the number of rows local to a given process.
43 * NQ = the number of columns local to a given process.
44 *
45 * DESCA (global and local input) INTEGER array of dimension DLEN_
46 * The array descriptor for the distributed matrices
47 *
48 * UPLO (global input) CHARACTER*1
49 * Specifies whether the upper or lower triangular part of the
50 * Hermitian matrix A is stored:
51 * = 'U': Upper triangular
52 * = 'L': Lower triangular
53 *
54 * N (global input) INTEGER
55 * Size of the matrix to be tested. (global size)
56 *
57 * MATTYPE (global input) INTEGER
58 * Matrix type
59 * Currently, the list of possible types is:
60 *
61 * (1) The zero matrix.
62 * (2) The identity matrix.
63 *
64 * (3) A diagonal matrix with evenly spaced entries
65 * 1, ..., ULP and random signs.
66 * (ULP = (first number larger than 1) - 1 )
67 * (4) A diagonal matrix with geometrically spaced entries
68 * 1, ..., ULP and random signs.
69 * (5) A diagonal matrix with "clustered" entries 1, ULP, ..., ULP
70 * and random signs.
71 *
72 * (6) Same as (4), but multiplied by SQRT( overflow threshold )
73 * (7) Same as (4), but multiplied by SQRT( underflow threshold )
74 *
75 * (8) A matrix of the form U' D U, where U is orthogonal and
76 * D has evenly spaced entries 1, ..., ULP with random signs
77 * on the diagonal.
78 *
79 * (9) A matrix of the form U' D U, where U is orthogonal and
80 * D has geometrically spaced entries 1, ..., ULP with random
81 * signs on the diagonal.
82 *
83 * (10) A matrix of the form U' D U, where U is orthogonal and
84 * D has "clustered" entries 1, ULP,..., ULP with random
85 * signs on the diagonal.
86 *
87 * (11) Same as (8), but multiplied by SQRT( overflow threshold )
88 * (12) Same as (8), but multiplied by SQRT( underflow threshold )
89 *
90 * (13) Hermitian matrix with random entries chosen from (-1,1).
91 * (14) Same as (13), but multiplied by SQRT( overflow threshold )
92 * (15) Same as (13), but multiplied by SQRT( underflow threshold )
93 * (16) Same as (8), but diagonal elements are all positive.
94 * (17) Same as (9), but diagonal elements are all positive.
95 * (18) Same as (10), but diagonal elements are all positive.
96 * (19) Same as (16), but multiplied by SQRT( overflow threshold )
97 * (20) Same as (16), but multiplied by SQRT( underflow threshold )
98 * (21) A tridiagonal matrix that is a direct sum of smaller diagonally
99 * dominant submatrices. Each unreduced submatrix has geometrically
100 * spaced diagonal entries 1, ..., ULP.
101 * (22) A matrix of the form U' D U, where U is orthogonal and
102 * D has ceil(lgN) "clusters" at 0,1,2,...,ceil(lgN)-1. The
103 * size of the cluster at the value I is 2^I.
104 *
105 * IBTYPE (global input) INTEGER
106 * Specifies the problem type to be solved:
107 * = 1: sub( A )*x = (lambda)*sub( B )*x
108 * = 2: sub( A )*sub( B )*x = (lambda)*x
109 * = 3: sub( B )*sub( A )*x = (lambda)*x
110 *
111 *
112 * SUBTESTS (global input) CHARACTER*1
113 * 'Y' - Perform subset tests
114 * 'N' - Do not perform subset tests
115 *
116 * THRESH (global input) DOUBLE PRECISION
117 * A test will count as "failed" if the "error", computed as
118 * described below, exceeds THRESH. Note that the error
119 * is scaled to be O(1), so THRESH should be a reasonably
120 * small multiple of 1, e.g., 10 or 100. In particular,
121 * it should not depend on the precision (single vs. double)
122 * or the size of the matrix. It must be at least zero.
123 *
124 * ORDER (global input) INTEGER
125 * Number of reflectors used in test matrix creation.
126 * If ORDER is large, it will
127 * take more time to create the test matrices but they will
128 * be closer to random.
129 * ORDER .lt. N not implemented
130 *
131 * ABSTOL (global input) DOUBLE PRECISION
132 * The absolute tolerance for the eigenvalues. An
133 * eigenvalue is considered to be located if it has
134 * been determined to lie in an interval whose width
135 * is "abstol" or less. If "abstol" is less than or equal
136 * to zero, then ulp*|T| will be used, where |T| is
137 * the 1-norm of the matrix. If eigenvectors are
138 * desired later by inverse iteration ("PZSTEIN"),
139 * "abstol" MUST NOT be bigger than ulp*|T|.
140 *
141 * For the purposes of this test, ABSTOL=0.0 is fine.
142 * THis test does not test for high relative accuracy.
143 *
144 * ISEED (global input/output) INTEGER array, dimension (4)
145 * On entry, the seed of the random number generator; the array
146 * elements must be between 0 and 4095, and ISEED(4) must be
147 * odd.
148 * On exit, the seed is updated.
149 *
150 * A (local workspace) COMPLEX*16 array, dim (N*N)
151 * global dimension (N, N), local dimension (LDA, NQ)
152 * A is distributed in a block cyclic manner over both rows
153 * and columns. The actual location of a particular element
154 * in A is controlled by the values of NPROW, NPCOL, and NB.
155 * The test matrix, which is then modified by PZHEGVX
156 *
157 * COPYA (local workspace) COMPLEX*16 array, dim (N, N)
158 * COPYA is used to hold an identical copy of the array A
159 * identical in both form and content to A
160 *
161 * B (local workspace) COMPLEX*16 array, dim (N*N)
162 * global dimension (N, N), local dimension (LDA, NQ)
163 * A is distributed in a block cyclic manner over both rows
164 * and columns.
165 * The B test matrix, which is then modified by PZHEGVX
166 *
167 * COPYB (local workspace) COMPLEX*16 array, dim (N, N)
168 * COPYB is used to hold an identical copy of the array B
169 * identical in both form and content to B
170 *
171 * Z (local workspace) COMPLEX*16 array, dim (N*N)
172 * Z is distributed in the same manner as A
173 * Z is used as workspace by the test routines
174 * PZGSEPCHK
175 *
176 * W (local workspace) DOUBLE PRECISION array, dimension (N)
177 * On normal exit from PZHEGVX, the first M entries
178 * contain the selected eigenvalues in ascending order.
179 *
180 * IFAIL (global workspace) INTEGER array, dimension (N)
181 *
182 * WORK (local workspace) COMPLEX*16 array, dimension (LWORK)
183 *
184 * LWORK (local input) INTEGER
185 * The length of the array WORK. LWORK >= SIZETST as
186 * returned by PZLASIZEGSEP
187 *
188 * RWORK (local workspace) COMPLEX*16 array, dimension (LWORK)
189 *
190 * LRWORK (local input) INTEGER
191 * The length of the array WORK. LRWORK >= RSIZETST as
192 * returned by PZLASIZEGSEP
193 *
194 * IWORK (local workspace) INTEGER array, dimension (LIWORK)
195 *
196 * LIWORK (local input) INTEGER
197 * The length of the array IWORK. LIWORK >= ISIZETST as
198 * returned by PZLASIZEGSEP
199 *
200 * NOUT (local input) INTEGER
201 * The unit number for output file. Only used on node 0.
202 * NOUT = 6, output to screen,
203 * NOUT = 0, output to stderr.
204 * NOUT = 13, output to file, divide thresh by 10.0
205 * NOUT = 14, output to file, divide thresh by 20.0
206 * (This hack allows us to test more stringently internally
207 * so that when errors on found on other computers they will
208 * be serious enough to warrant our attention.)
209 *
210 * INFO (global output) INTEGER
211 * -3 This process is not involved
212 * 0 Test succeeded (passed |AQ -QL| and |QT*Q - I| tests)
213 * 1 At least one test failed
214 * 2 Residual test were not performed, thresh <= 0.0
215 * 3 Test was skipped because of inadequate memory space
216 *
217 * .. Parameters ..
218  INTEGER BLOCK_CYCLIC_2D, DLEN_, DTYPE_, CTXT_, M_, N_,
219  \$ MB_, NB_, RSRC_, CSRC_, LLD_
220  PARAMETER ( BLOCK_CYCLIC_2D = 1, dlen_ = 9, dtype_ = 1,
221  \$ ctxt_ = 2, m_ = 3, n_ = 4, mb_ = 5, nb_ = 6,
222  \$ rsrc_ = 7, csrc_ = 8, lld_ = 9 )
223  DOUBLE PRECISION ZERO, ONE, TEN, HALF
224  parameter( zero = 0.0d+0, one = 1.0d+0, ten = 10.0d+0,
225  \$ half = 0.5d+0 )
227  parameter( padval = ( 19.25d+0, 1.1d+1 ) )
228  COMPLEX*16 ZZERO
229  PARAMETER ( ZZERO = ( 0.0d+0, 0.0d+0 ) )
230  COMPLEX*16 ZONE
231  parameter( zone = ( 1.0d+0, 0.0d+0 ) )
232  INTEGER MAXTYP
233  parameter( maxtyp = 22 )
234 * ..
235 *
236 * .. Local Scalars ..
237  LOGICAL WKNOWN
238  CHARACTER JOBZ, RANGE
239  CHARACTER*14 PASSED
240  INTEGER CONTEXT, I, IAM, IINFO, IL, IMODE, IN, INDD,
241  \$ indrwork, indwork, isizeheevx, isizesubtst,
242  \$ isizetst, itype, iu, j, lheevxsize, llrwork,
243  \$ llwork, maxsize, mycol, myrow, nb, ngen, nloc,
244  \$ nnodes, np, npcol, nprow, nq, res, rsizechk,
245  \$ rsizeheevx, rsizeqtq, rsizesubtst, rsizetst,
246  \$ sizeheevx, sizemqrleft, sizemqrright, sizeqrf,
247  \$ sizesubtst, sizetms, sizetst, valsize, vecsize
248  DOUBLE PRECISION ANINV, ANORM, COND, MAXQTQNRM, MAXTSTNRM, OVFL,
249  \$ QTQNRM, RTOVFL, RTUNFL, TEMP1, TSTNRM, ULP,
250  \$ ULPINV, UNFL, VL, VU
251 * ..
252 * .. Local Arrays ..
253  INTEGER ISEEDIN( 4 ), KMAGN( MAXTYP ), KMODE( MAXTYP ),
254  \$ KTYPE( MAXTYP )
255  DOUBLE PRECISION CTIME( 10 ), WTIME( 10 )
256 * ..
257 * .. External Functions ..
258  LOGICAL LSAME
259  INTEGER NUMROC
260  DOUBLE PRECISION DLARAN, PDLAMCH
261  EXTERNAL LSAME, NUMROC, DLARAN, PDLAMCH
262 * ..
263 * .. External Subroutines ..
264  EXTERNAL blacs_gridinfo, blacs_pinfo, dlabad, dlasrt,
265  \$ igamx2d, igebr2d, igebs2d, pzchekpad, pzelset,
268  \$ zlatms
269 * ..
270 * .. Intrinsic Functions ..
271  INTRINSIC abs, dble, int, max, min, mod, sqrt
272 * ..
273 * .. Data statements ..
274  DATA ktype / 1, 2, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 8,
275  \$ 8, 8, 9, 9, 9, 9, 9, 10, 11 /
276  DATA kmagn / 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1,
277  \$ 2, 3, 1, 1, 1, 2, 3, 1, 1 /
278  DATA kmode / 0, 0, 4, 3, 1, 4, 4, 4, 3, 1, 4, 4, 0,
279  \$ 0, 0, 4, 3, 1, 4, 4, 3, 0 /
280 * ..
281 * .. Executable Statements ..
282 * This is just to keep ftnchek happy
283  IF( block_cyclic_2d*csrc_*ctxt_*dlen_*dtype_*lld_*mb_*m_*nb_*n_*
284  \$ rsrc_.LT.0 )RETURN
285 *
286  info = 0
287  passed = 'PASSED '
288  context = desca( ctxt_ )
289  nb = desca( nb_ )
290 *
291  CALL blacs_pinfo( iam, nnodes )
292  CALL blacs_gridinfo( context, nprow, npcol, myrow, mycol )
293 *
294 *
295 * Make sure that we have enough memory
296 *
297 *
299  \$ sizemqrright, sizeqrf, sizetms, rsizeqtq,
300  \$ rsizechk, sizeheevx, rsizeheevx, isizeheevx,
301  \$ sizesubtst, rsizesubtst, isizesubtst, sizetst,
302  \$ rsizetst, isizetst )
303 *
304  IF( lrwork.LT.rsizetst ) THEN
305  info = 3
306  END IF
307 *
308  CALL igamx2d( context, 'a', ' ', 1, 1, info, 1, 1, 1, -1, -1, 0 )
309 *
310  IF( info.EQ.0 ) THEN
311 *
312  indd = 1
313  indrwork = indd + n
314  indwork = 1
315  llwork = lwork - indwork + 1
316  llrwork = lrwork - indrwork + 1
317 *
318  ulp = pdlamch( context, 'P' )
319  ulpinv = one / ulp
320  unfl = pdlamch( context, 'Safe min' )
321  ovfl = one / unfl
322  CALL dlabad( unfl, ovfl )
323  rtunfl = sqrt( unfl )
324  rtovfl = sqrt( ovfl )
325  aninv = one / dble( max( 1, n ) )
326 *
327 * This ensures that everyone starts out with the same seed.
328 *
329  IF( myrow.EQ.0 .AND. mycol.EQ.0 ) THEN
330  CALL igebs2d( context, 'a', ' ', 4, 1, iseed, 4 )
331  ELSE
332  CALL igebr2d( context, 'a', ' ', 4, 1, iseed, 4, 0, 0 )
333  END IF
334  iseedin( 1 ) = iseed( 1 )
335  iseedin( 2 ) = iseed( 2 )
336  iseedin( 3 ) = iseed( 3 )
337  iseedin( 4 ) = iseed( 4 )
338 *
339 * Compute the matrix A
340 *
341 * Control parameters:
342 *
343 * KMAGN KMODE KTYPE
344 * =1 O(1) clustered 1 zero
345 * =2 large clustered 2 identity
346 * =3 small exponential (none)
347 * =4 arithmetic diagonal, (w/ eigenvalues)
348 * =5 random log Hermitian, w/ eigenvalues
349 * =6 random (none)
350 * =7 random diagonal
351 * =8 random Hermitian
352 * =9 positive definite
353 * =10 block diagonal with tridiagonal blocks
354 * =11 Geometrically sized clusters.
355 *
356  itype = ktype( mattype )
357  imode = kmode( mattype )
358 *
359 * Compute norm
360 *
361  GO TO ( 10, 20, 30 )kmagn( mattype )
362 *
363  10 CONTINUE
364  anorm = one
365  GO TO 40
366 *
367  20 CONTINUE
368  anorm = ( rtovfl*ulp )*aninv
369  GO TO 40
370 *
371  30 CONTINUE
372  anorm = rtunfl*n*ulpinv
373  GO TO 40
374 *
375  40 CONTINUE
376  IF( mattype.LE.15 ) THEN
377  cond = ulpinv
378  ELSE
379  cond = ulpinv*aninv / ten
380  END IF
381 *
382 * Special Matrices
383 *
384 * Zero
385 *
386 *
387  IF( itype.EQ.1 ) THEN
388 *
389 * Zero Matrix
390 *
391  DO 50 i = 1, n
392  rwork( indd+i-1 ) = zero
393  50 CONTINUE
394  CALL pzlaset( 'All', n, n, zzero, zzero, copya, 1, 1,
395  \$ desca )
396  wknown = .true.
397 *
398  ELSE IF( itype.EQ.2 ) THEN
399 *
400 * Identity Matrix
401 *
402  DO 60 i = 1, n
403  rwork( indd+i-1 ) = one
404  60 CONTINUE
405  CALL pzlaset( 'All', n, n, zzero, zone, copya, 1, 1, desca )
406  wknown = .true.
407 *
408  ELSE IF( itype.EQ.4 ) THEN
409 *
410 * Diagonal Matrix, [Eigen]values Specified
411 *
412  CALL pzfillpad( desca( ctxt_ ), sizetms, 1, work( indwork ),
414 *
415  CALL pzlatms( n, n, 'S', iseed, 'S', rwork( indd ), imode,
416  \$ cond, anorm, 0, 0, 'N', copya, 1, 1, desca,
417  \$ order, work( indwork+iprepad ), sizetms,
418  \$ iinfo )
419  wknown = .true.
420 *
421  CALL pzchekpad( desca( ctxt_ ), 'PZLATMS1-WORK', sizetms, 1,
424 *
425  ELSE IF( itype.EQ.5 ) THEN
426 *
427 * Hermitian, eigenvalues specified
428 *
429  CALL pzfillpad( desca( ctxt_ ), sizetms, 1, work( indwork ),
431 *
432  CALL pzlatms( n, n, 'S', iseed, 'S', rwork( indd ), imode,
433  \$ cond, anorm, n, n, 'N', copya, 1, 1, desca,
434  \$ order, work( indwork+iprepad ), sizetms,
435  \$ iinfo )
436 *
437  CALL pzchekpad( desca( ctxt_ ), 'PZLATMS2-WORK', sizetms, 1,
440 *
441  wknown = .true.
442 *
443  ELSE IF( itype.EQ.8 ) THEN
444 *
445 * Hermitian, random eigenvalues
446 *
447  np = numroc( n, desca( mb_ ), myrow, 0, nprow )
448  nq = numroc( n, desca( nb_ ), mycol, 0, npcol )
449  CALL pzmatgen( desca( ctxt_ ), 'H', 'N', n, n, desca( mb_ ),
450  \$ desca( nb_ ), copya, desca( lld_ ),
451  \$ desca( rsrc_ ), desca( csrc_ ), iseed( 1 ),
452  \$ 0, np, 0, nq, myrow, mycol, nprow, npcol )
453  info = 0
454  wknown = .false.
455 *
456  ELSE IF( itype.EQ.9 ) THEN
457 *
458 * Positive definite, eigenvalues specified.
459 *
460 *
461  CALL pzfillpad( desca( ctxt_ ), sizetms, 1, work( indwork ),
463 *
464  CALL pzlatms( n, n, 'S', iseed, 'S', rwork( indd ), imode,
465  \$ cond, anorm, n, n, 'N', copya, 1, 1, desca,
466  \$ order, work( indwork+iprepad ), sizetms,
467  \$ iinfo )
468 *
469  wknown = .true.
470 *
471  CALL pzchekpad( desca( ctxt_ ), 'PZLATMS3-WORK', sizetms, 1,
474 *
475  ELSE IF( itype.EQ.10 ) THEN
476 *
477 * Block diagonal matrix with each block being a positive
478 * definite tridiagonal submatrix.
479 *
480  CALL pzlaset( 'All', n, n, zzero, zzero, copya, 1, 1,
481  \$ desca )
482  np = numroc( n, desca( mb_ ), 0, 0, nprow )
483  nq = numroc( n, desca( nb_ ), 0, 0, npcol )
484  nloc = min( np, nq )
485  ngen = 0
486  70 CONTINUE
487 *
488  IF( ngen.LT.n ) THEN
489  in = min( 1+int( dlaran( iseed )*dble( nloc ) ), n-ngen )
490 *
491  CALL zlatms( in, in, 'S', iseed, 'P', rwork( indd ),
492  \$ imode, cond, anorm, 1, 1, 'N', a, lda,
493  \$ work( indwork ), iinfo )
494 *
495  DO 80 i = 2, in
496  temp1 = abs( a( i-1, i ) ) /
497  \$ sqrt( abs( a( i-1, i-1 )*a( i, i ) ) )
498  IF( temp1.GT.half ) THEN
499  a( i-1, i ) = half*sqrt( abs( a( i-1, i-1 )*a( i,
500  \$ i ) ) )
501  a( i, i-1 ) = a( i-1, i )
502  END IF
503  80 CONTINUE
504  CALL pzelset( copya, ngen+1, ngen+1, desca, a( 1, 1 ) )
505  DO 90 i = 2, in
506  CALL pzelset( copya, ngen+i, ngen+i, desca,
507  \$ a( i, i ) )
508  CALL pzelset( copya, ngen+i-1, ngen+i, desca,
509  \$ a( i-1, i ) )
510  CALL pzelset( copya, ngen+i, ngen+i-1, desca,
511  \$ a( i, i-1 ) )
512  90 CONTINUE
513  ngen = ngen + in
514  GO TO 70
515  END IF
516  wknown = .false.
517 *
518  ELSE IF( itype.EQ.11 ) THEN
519 *
520 * Geometrically sized clusters. Eigenvalues: 0,1,1,2,2,2,2, ...
521 *
522  ngen = 0
523  j = 1
524  temp1 = zero
525  100 CONTINUE
526  IF( ngen.LT.n ) THEN
527  in = min( j, n-ngen )
528  DO 110 i = 0, in - 1
529  rwork( indd+ngen+i ) = temp1
530  110 CONTINUE
531  temp1 = temp1 + one
532  j = 2*j
533  ngen = ngen + in
534  GO TO 100
535  END IF
536 *
537 *
538  CALL pzfillpad( desca( ctxt_ ), sizetms, 1, work( indwork ),
540 *
541  CALL pzlatms( n, n, 'S', iseed, 'S', rwork( indd ), imode,
542  \$ cond, anorm, 0, 0, 'N', copya, 1, 1, desca,
543  \$ order, work( indwork+iprepad ), sizetms,
544  \$ iinfo )
545 *
546  CALL pzchekpad( desca( ctxt_ ), 'PZLATMS4-WORK', sizetms, 1,
549 *
550 *
551 * WKNOWN ... NOT SET, GUESS A DEFAULT
552 *
553  wknown = .true.
554  ELSE
555  iinfo = 1
556  END IF
557 *
558  IF( wknown )
559  \$ CALL dlasrt( 'I', n, rwork( indd ), iinfo )
560 *
561 * Create the B matrix
562 *
563  CALL pzfillpad( desca( ctxt_ ), sizetms, 1, work( indwork ),
565 *
566  anorm = one
567 *
568 * Update ISEED so that {ZLAGSY creates a different Q
569 *
570  iseed( 4 ) = mod( iseed( 4 )+257, 4096 )
571  iseed( 3 ) = mod( iseed( 3 )+192, 4096 )
572  iseed( 2 ) = mod( iseed( 2 )+35, 4096 )
573  iseed( 1 ) = mod( iseed( 1 )+128, 4096 )
574  CALL pzlatms( n, n, 'S', iseed, 'P', rwork( indd ), 3, ten,
575  \$ anorm, n, n, 'N', copyb, 1, 1, desca, order,
576  \$ work( indwork+iprepad ), sizetms, iinfo )
577 *
578  CALL pzchekpad( desca( ctxt_ ), 'PZLATMS5-WORK', sizetms, 1,
581 *
582 *
583 * These values aren't actually used, but they make ftncheck happy.
584 *
585  il = -1
586  iu = -2
587  vl = one
588  vu = -one
589 *
590  CALL pzlasizeheevx( wknown, 'A', n, desca, vl, vu, il, iu,
591  \$ iseed, rwork( indd ), maxsize, vecsize,
592  \$ valsize )
593 *
594  lheevxsize = min( maxsize, lrwork )
595  wknown = .false.
596 *
597  CALL pzgsepsubtst( wknown, ibtype, 'v', 'a', uplo, n, vl, vu,
598  \$ il, iu, thresh, abstol, a, copya, b, copyb,
599  \$ z, 1, 1, desca, rwork( indd ), win, ifail,
601  \$ work( indwork ), llwork, rwork( indrwork ),
602  \$ llrwork, lheevxsize, iwork, isizeheevx, res,
603  \$ tstnrm, qtqnrm, nout )
604 *
605 *
606 *
607  maxtstnrm = tstnrm
608  maxqtqnrm = qtqnrm
609 *
610  IF( thresh.LE.zero ) THEN
611  passed = 'SKIPPED '
612  info = 2
613  ELSE IF( res.NE.0 ) THEN
614  passed = 'FAILED '
615  info = 1
616  END IF
617  END IF
618 *
619  IF( thresh.GT.zero .AND. lsame( subtests, 'Y' ) ) THEN
620 *
621 * Subtest 1: JOBZ = 'V', RANGE = 'A', minimum memory
622 *
623  IF( info.EQ.0 ) THEN
624 *
625  jobz = 'V'
626  range = 'A'
627  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
628  \$ iseed, win( 1+iprepad ), maxsize,
629  \$ vecsize, valsize )
630 *
631  lheevxsize = vecsize
632 *
633  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
634  \$ vu, il, iu, thresh, abstol, a, copya, b,
635  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
636  \$ wnew, ifail, iclustr, gap, iprepad,
637  \$ ipostpad, work( indwork ), llwork, rwork,
638  \$ lrwork, lheevxsize, iwork, isizeheevx,
639  \$ res, tstnrm, qtqnrm, nout )
640 *
641  IF( res.NE.0 ) THEN
642  passed = 'FAILED stest 1'
643  maxtstnrm = max( tstnrm, maxtstnrm )
644  maxqtqnrm = max( qtqnrm, maxqtqnrm )
645  info = 1
646  END IF
647  END IF
648 *
649 * Subtest 2: JOBZ = 'V', RANGE = 'A', random memory
650 *
651  IF( info.EQ.0 ) THEN
652  jobz = 'V'
653  range = 'A'
654  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
655  \$ iseed, win( 1+iprepad ), maxsize,
656  \$ vecsize, valsize )
657 *
658  lheevxsize = vecsize + int( dlaran( iseed )*
659  \$ dble( maxsize-vecsize ) )
660 *
661  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
662  \$ vu, il, iu, thresh, abstol, a, copya, b,
663  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
664  \$ wnew, ifail, iclustr, gap, iprepad,
665  \$ ipostpad, work( indwork ), llwork, rwork,
666  \$ lrwork, lheevxsize, iwork, isizeheevx,
667  \$ res, tstnrm, qtqnrm, nout )
668 *
669  IF( res.NE.0 ) THEN
670  passed = 'FAILED stest 2'
671  maxtstnrm = max( tstnrm, maxtstnrm )
672  maxqtqnrm = max( qtqnrm, maxqtqnrm )
673  info = 1
674  END IF
675  END IF
676 *
677 * Subtest 3: JOBZ = 'N', RANGE = 'A', minimum memory
678 *
679  IF( info.EQ.0 ) THEN
680 *
681  jobz = 'N'
682  range = 'A'
683  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
684  \$ iseed, win( 1+iprepad ), maxsize,
685  \$ vecsize, valsize )
686 *
687  lheevxsize = valsize
688  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
689  \$ vu, il, iu, thresh, abstol, a, copya, b,
690  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
691  \$ wnew, ifail, iclustr, gap, iprepad,
692  \$ ipostpad, work( indwork ), llwork, rwork,
693  \$ lrwork, lheevxsize, iwork, isizeheevx,
694  \$ res, tstnrm, qtqnrm, nout )
695 *
696  IF( res.NE.0 ) THEN
697  maxtstnrm = max( tstnrm, maxtstnrm )
698  maxqtqnrm = max( qtqnrm, maxqtqnrm )
699  passed = 'FAILED stest 3'
700  info = 1
701  END IF
702  END IF
703 *
704 * Subtest 4: JOBZ = 'N', RANGE = 'I', minimum memory
705 *
706  IF( info.EQ.0 ) THEN
707 *
708  il = -1
709  iu = -1
710  jobz = 'N'
711  range = 'I'
712 *
713 * We use PZLASIZEHEEVX to choose IL and IU for us.
714 *
715  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
716  \$ iseed, win( 1+iprepad ), maxsize,
717  \$ vecsize, valsize )
718 *
719  lheevxsize = valsize
720 *
721  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
722  \$ vu, il, iu, thresh, abstol, a, copya, b,
723  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
724  \$ wnew, ifail, iclustr, gap, iprepad,
725  \$ ipostpad, work( indwork ), llwork, rwork,
726  \$ lrwork, lheevxsize, iwork, isizeheevx,
727  \$ res, tstnrm, qtqnrm, nout )
728 *
729  IF( res.NE.0 ) THEN
730  maxtstnrm = max( tstnrm, maxtstnrm )
731  maxqtqnrm = max( qtqnrm, maxqtqnrm )
732  passed = 'FAILED stest 4'
733  info = 1
734  END IF
735  END IF
736 *
737 * Subtest 5: JOBZ = 'V', RANGE = 'I', maximum memory
738 *
739  IF( info.EQ.0 ) THEN
740 *
741  il = -1
742  iu = -1
743  jobz = 'V'
744  range = 'I'
745 *
746 * We use PZLASIZEHEEVX to choose IL and IU for us.
747 *
748  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
749  \$ iseed, win( 1+iprepad ), maxsize,
750  \$ vecsize, valsize )
751 *
752  lheevxsize = maxsize
753 *
754  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
755  \$ vu, il, iu, thresh, abstol, a, copya, b,
756  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
757  \$ wnew, ifail, iclustr, gap, iprepad,
758  \$ ipostpad, work( indwork ), llwork, rwork,
759  \$ lrwork, lheevxsize, iwork, isizeheevx,
760  \$ res, tstnrm, qtqnrm, nout )
761 *
762  IF( res.NE.0 ) THEN
763  maxtstnrm = max( tstnrm, maxtstnrm )
764  maxqtqnrm = max( qtqnrm, maxqtqnrm )
765  passed = 'FAILED stest 5'
766  info = 1
767  END IF
768  END IF
769 *
770 * Subtest 6: JOBZ = 'V', RANGE = 'I', minimum memory
771 *
772  IF( info.EQ.0 ) THEN
773  il = -1
774  iu = -1
775  jobz = 'V'
776  range = 'I'
777 *
778 * We use PZLASIZEHEEVX to choose IL and IU for us.
779 *
780  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
781  \$ iseed, win( 1+iprepad ), maxsize,
782  \$ vecsize, valsize )
783 *
784  lheevxsize = vecsize
785 *
786  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
787  \$ vu, il, iu, thresh, abstol, a, copya, b,
788  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
789  \$ wnew, ifail, iclustr, gap, iprepad,
790  \$ ipostpad, work( indwork ), llwork, rwork,
791  \$ lrwork, lheevxsize, iwork, isizeheevx,
792  \$ res, tstnrm, qtqnrm, nout )
793 *
794  IF( res.NE.0 ) THEN
795  maxtstnrm = max( tstnrm, maxtstnrm )
796  maxqtqnrm = max( qtqnrm, maxqtqnrm )
797  passed = 'FAILED stest 6'
798  info = 1
799  END IF
800  END IF
801 *
802 * Subtest 7: JOBZ = 'V', RANGE = 'I', random memory
803 *
804  IF( info.EQ.0 ) THEN
805  il = -1
806  iu = -1
807  jobz = 'V'
808  range = 'I'
809 *
810 * We use PZLASIZEHEEVX to choose IL and IU for us.
811 *
812  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
813  \$ iseed, win( 1+iprepad ), maxsize,
814  \$ vecsize, valsize )
815  lheevxsize = vecsize + int( dlaran( iseed )*
816  \$ dble( maxsize-vecsize ) )
817 *
818  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
819  \$ vu, il, iu, thresh, abstol, a, copya, b,
820  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
821  \$ wnew, ifail, iclustr, gap, iprepad,
822  \$ ipostpad, work( indwork ), llwork, rwork,
823  \$ lrwork, lheevxsize, iwork, isizeheevx,
824  \$ res, tstnrm, qtqnrm, nout )
825 *
826  IF( res.NE.0 ) THEN
827  maxtstnrm = max( tstnrm, maxtstnrm )
828  maxqtqnrm = max( qtqnrm, maxqtqnrm )
829  passed = 'FAILED stest 7'
830  info = 1
831  END IF
832  END IF
833 *
834 * Subtest 8: JOBZ = 'N', RANGE = 'V', minimum memory
835 *
836  IF( info.EQ.0 ) THEN
837  vl = one
838  vu = -one
839  jobz = 'N'
840  range = 'V'
841 *
842 * We use PZLASIZEHEEVX to choose VL and VU for us.
843 *
844  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
845  \$ iseed, win( 1+iprepad ), maxsize,
846  \$ vecsize, valsize )
847 *
848  lheevxsize = valsize
849 *
850  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
851  \$ vu, il, iu, thresh, abstol, a, copya, b,
852  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
853  \$ wnew, ifail, iclustr, gap, iprepad,
854  \$ ipostpad, work( indwork ), llwork, rwork,
855  \$ lrwork, lheevxsize, iwork, isizeheevx,
856  \$ res, tstnrm, qtqnrm, nout )
857 *
858  IF( res.NE.0 ) THEN
859  maxtstnrm = max( tstnrm, maxtstnrm )
860  maxqtqnrm = max( qtqnrm, maxqtqnrm )
861  passed = 'FAILED stest 8'
862  info = 1
863  END IF
864  END IF
865 *
866 * Subtest 9: JOBZ = 'V', RANGE = 'V', maximum memory
867 *
868  IF( info.EQ.0 ) THEN
869  vl = one
870  vu = -one
871  jobz = 'V'
872  range = 'V'
873 *
874 * We use PZLASIZEHEEVX to choose VL and VU for us.
875 *
876  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
877  \$ iseed, win( 1+iprepad ), maxsize,
878  \$ vecsize, valsize )
879 *
880  lheevxsize = maxsize
881 *
882  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
883  \$ vu, il, iu, thresh, abstol, a, copya, b,
884  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
885  \$ wnew, ifail, iclustr, gap, iprepad,
886  \$ ipostpad, work( indwork ), llwork, rwork,
887  \$ lrwork, lheevxsize, iwork, isizeheevx,
888  \$ res, tstnrm, qtqnrm, nout )
889 *
890  IF( res.NE.0 ) THEN
891  maxtstnrm = max( tstnrm, maxtstnrm )
892  maxqtqnrm = max( qtqnrm, maxqtqnrm )
893  passed = 'FAILED stest 9'
894  info = 1
895  END IF
896  END IF
897 *
898 * Subtest 10: JOBZ = 'V', RANGE = 'V',
899 * minimum memory required for eigenvectors
900 *
901  IF( info.EQ.0 ) THEN
902  vl = one
903  vu = -one
904  jobz = 'V'
905  range = 'V'
906 *
907 * We use PZLASIZEHEEVX to choose VL and VU for us.
908 *
909  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
910  \$ iseed, win( 1+iprepad ), maxsize,
911  \$ vecsize, valsize )
912 *
913  lheevxsize = vecsize
914 *
915  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
916  \$ vu, il, iu, thresh, abstol, a, copya, b,
917  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
918  \$ wnew, ifail, iclustr, gap, iprepad,
919  \$ ipostpad, work( indwork ), llwork, rwork,
920  \$ lrwork, lheevxsize, iwork, isizeheevx,
921  \$ res, tstnrm, qtqnrm, nout )
922 *
923  IF( res.NE.0 ) THEN
924  maxtstnrm = max( tstnrm, maxtstnrm )
925  maxqtqnrm = max( qtqnrm, maxqtqnrm )
926  passed = 'FAILED stest10'
927  info = 1
928  END IF
929  END IF
930 *
931 * Subtest 11: JOBZ = 'V', RANGE = 'V',
932 * random memory (enough for all eigenvectors
933 * but not enough to guarantee orthogonality
934 *
935  IF( info.EQ.0 ) THEN
936  vl = one
937  vu = -one
938  jobz = 'V'
939  range = 'V'
940 *
941 * We use PZLASIZEHEEVX to choose VL and VU for us.
942 *
943  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
944  \$ iseed, win( 1+iprepad ), maxsize,
945  \$ vecsize, valsize )
946 *
947 *
948  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
949  \$ vu, il, iu, thresh, abstol, a, copya, b,
950  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
951  \$ wnew, ifail, iclustr, gap, iprepad,
952  \$ ipostpad, work( indwork ), llwork, rwork,
953  \$ lrwork, lheevxsize, iwork, isizeheevx,
954  \$ res, tstnrm, qtqnrm, nout )
955 *
956  IF( res.NE.0 ) THEN
957  maxtstnrm = max( tstnrm, maxtstnrm )
958  maxqtqnrm = max( qtqnrm, maxqtqnrm )
959  passed = 'FAILED stest11'
960  info = 1
961  END IF
962  END IF
963 *
964 * Subtest 12: JOBZ = 'V', RANGE = 'V',
965 * miniimum memory required for eigenvalues only
966 *
967  IF( info.EQ.0 ) THEN
968  vl = one
969  vu = -one
970  jobz = 'V'
971  range = 'V'
972 *
973 * We use PZLASIZEHEEVX to choose VL and VU for us.
974 *
975  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
976  \$ iseed, win( 1+iprepad ), maxsize,
977  \$ vecsize, valsize )
978 *
979  lheevxsize = valsize
980 *
981  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
982  \$ vu, il, iu, thresh, abstol, a, copya, b,
983  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
984  \$ wnew, ifail, iclustr, gap, iprepad,
985  \$ ipostpad, work( indwork ), llwork, rwork,
986  \$ lrwork, lheevxsize, iwork, isizeheevx,
987  \$ res, tstnrm, qtqnrm, nout )
988 *
989  IF( res.NE.0 ) THEN
990  maxtstnrm = max( tstnrm, maxtstnrm )
991  maxqtqnrm = max( qtqnrm, maxqtqnrm )
992  passed = 'FAILED stest12'
993  info = 1
994  END IF
995  END IF
996 *
997 * Subtest 13: JOBZ = 'V', RANGE = 'V',
998 * random memory (more than minimum required
999 * for eigenvalues, less than required for vectors)
1000 *
1001  IF( info.EQ.0 ) THEN
1002  vl = one
1003  vu = -one
1004  jobz = 'V'
1005  range = 'V'
1006 *
1007 * We use PZLASIZEHEEVX to choose VL and VU for us.
1008 *
1009  CALL pzlasizeheevx( .true., range, n, desca, vl, vu, il, iu,
1010  \$ iseed, win( 1+iprepad ), maxsize,
1011  \$ vecsize, valsize )
1012 *
1013 *
1014  CALL pzgsepsubtst( .true., ibtype, jobz, range, uplo, n, vl,
1015  \$ vu, il, iu, thresh, abstol, a, copya, b,
1016  \$ copyb, z, 1, 1, desca, win( 1+iprepad ),
1017  \$ wnew, ifail, iclustr, gap, iprepad,
1018  \$ ipostpad, work( indwork ), llwork, rwork,
1019  \$ lrwork, lheevxsize, iwork, isizeheevx,
1020  \$ res, tstnrm, qtqnrm, nout )
1021 *
1022  IF( res.NE.0 ) THEN
1023  maxtstnrm = max( tstnrm, maxtstnrm )
1024  maxqtqnrm = max( qtqnrm, maxqtqnrm )
1025  passed = 'FAILED stest13'
1026  info = 1
1027  END IF
1028  END IF
1029  END IF
1030 *
1031 *
1032 *
1033  CALL igamx2d( context, 'All', ' ', 1, 1, info, 1, -1, -1, -1, -1,
1034  \$ -1 )
1035 *
1036  IF( info.EQ.1 ) THEN
1037  IF( iam.EQ.0 ) THEN
1038  WRITE( nout, fmt = 9994 )'C '
1039  WRITE( nout, fmt = 9993 )iseedin( 1 )
1040  WRITE( nout, fmt = 9992 )iseedin( 2 )
1041  WRITE( nout, fmt = 9991 )iseedin( 3 )
1042  WRITE( nout, fmt = 9990 )iseedin( 4 )
1043  IF( lsame( uplo, 'L' ) ) THEN
1044  WRITE( nout, fmt = 9994 )' UPLO= ''L'' '
1045  ELSE
1046  WRITE( nout, fmt = 9994 )' UPLO= ''U'' '
1047  END IF
1048  IF( lsame( subtests, 'Y' ) ) THEN
1049  WRITE( nout, fmt = 9994 )' SUBTESTS= ''Y'' '
1050  ELSE
1051  WRITE( nout, fmt = 9994 )' SUBTESTS= ''N'' '
1052  END IF
1053  WRITE( nout, fmt = 9989 )n
1054  WRITE( nout, fmt = 9988 )nprow
1055  WRITE( nout, fmt = 9987 )npcol
1056  WRITE( nout, fmt = 9986 )nb
1057  WRITE( nout, fmt = 9985 )mattype
1058  WRITE( nout, fmt = 9984 )ibtype
1059  WRITE( nout, fmt = 9982 )abstol
1060  WRITE( nout, fmt = 9981 )thresh
1061  WRITE( nout, fmt = 9994 )'C '
1062  END IF
1063  END IF
1064 *
1065  CALL slcombine( context, 'All', '>', 'W', 6, 1, wtime )
1066  CALL slcombine( context, 'All', '>', 'C', 6, 1, ctime )
1067  IF( iam.EQ.0 ) THEN
1068  IF( info.EQ.0 .OR. info.EQ.1 ) THEN
1069  IF( wtime( 1 ).GE.0.0 ) THEN
1070  WRITE( nout, fmt = 9999 )n, nb, nprow, npcol, mattype,
1071  \$ ibtype, subtests, wtime( 1 ), ctime( 1 ), maxtstnrm,
1072  \$ passed
1073  ELSE
1074  WRITE( nout, fmt = 9998 )n, nb, nprow, npcol, mattype,
1075  \$ ibtype, subtests, ctime( 1 ), maxtstnrm, passed
1076  END IF
1077  ELSE IF( info.EQ.2 ) THEN
1078  IF( wtime( 1 ).GE.0.0 ) THEN
1079  WRITE( nout, fmt = 9997 )n, nb, nprow, npcol, mattype,
1080  \$ ibtype, subtests, wtime( 1 ), ctime( 1 )
1081  ELSE
1082  WRITE( nout, fmt = 9996 )n, nb, nprow, npcol, mattype,
1083  \$ ibtype, subtests, ctime( 1 )
1084  END IF
1085  ELSE IF( info.EQ.3 ) THEN
1086  WRITE( nout, fmt = 9995 )n, nb, nprow, npcol, mattype,
1087  \$ ibtype, subtests
1088  END IF
1089  END IF
1090 *
1091  120 CONTINUE
1092 *
1093  RETURN
1094  9999 FORMAT( 1x, i5, 1x, i3, 1x, i3, 1x, i3, 1x, i3, 3x, i3, 4x, a1,
1095  \$ 1x, f8.2, 1x, f8.2, 1x, g9.2, 1x, a14 )
1096  9998 FORMAT( 1x, i5, 1x, i3, 1x, i3, 1x, i3, 1x, i3, 3x, i3, 4x, a1,
1097  \$ 1x, 8x, 1x, f8.2, 1x, g9.2, a14 )
1098  9997 FORMAT( 1x, i5, 1x, i3, 1x, i3, 1x, i3, 1x, i3, 3x, i3, 4x, a1,
1099  \$ 1x, f8.2, 1x, f8.2, 11x, 'Bypassed' )
1100  9996 FORMAT( 1x, i5, 1x, i3, 1x, i3, 1x, i3, 1x, i3, 3x, i3, 4x, a1,
1101  \$ 1x, 8x, 1x, f8.2, 11x, 'Bypassed' )
1102  9995 FORMAT( 1x, i5, 1x, i3, 1x, i3, 1x, i3, 1x, i3, 3x, i3, 4x, a1,
1103  \$ 22x, 'Bad MEMORY parameters' )
1104  9994 FORMAT( a )
1105  9993 FORMAT( ' ISEED( 1 ) =', i8 )
1106  9992 FORMAT( ' ISEED( 2 ) =', i8 )
1107  9991 FORMAT( ' ISEED( 3 ) =', i8 )
1108  9990 FORMAT( ' ISEED( 4 ) =', i8 )
1109  9989 FORMAT( ' N=', i8 )
1110  9988 FORMAT( ' NPROW=', i8 )
1111  9987 FORMAT( ' NPCOL=', i8 )
1112  9986 FORMAT( ' NB=', i8 )
1113  9985 FORMAT( ' MATTYPE=', i8 )
1114  9984 FORMAT( ' IBTYPE=', i8 )
1115  9983 FORMAT( ' SUBTESTS=', a1 )
1116  9982 FORMAT( ' ABSTOL=', d16.6 )
1117  9981 FORMAT( ' THRESH=', d16.6 )
1118  9980 FORMAT( ' Increase TOTMEM in PZGSEPDRIVER' )
1119 *
1120 * End of PZGSEPTST
1121 *
1122  END
max
#define max(A, B)
Definition: pcgemr.c:180
pzgseptst
subroutine pzgseptst(DESCA, UPLO, N, MATTYPE, IBTYPE, SUBTESTS, THRESH, ORDER, ABSTOL, ISEED, A, COPYA, B, COPYB, Z, LDA, WIN, WNEW, IFAIL, ICLUSTR, GAP, IPREPAD, IPOSTPAD, WORK, LWORK, RWORK, LRWORK, IWORK, LIWORK, NOUT, INFO)
Definition: pzgseptst.f:8
pzlaset
subroutine pzlaset(UPLO, M, N, ALPHA, BETA, A, IA, JA, DESCA)
Definition: pzblastst.f:7509
pzgsepsubtst
subroutine pzgsepsubtst(WKNOWN, IBTYPE, JOBZ, RANGE, UPLO, N, VL, VU, IL, IU, THRESH, ABSTOL, A, COPYA, B, COPYB, Z, IA, JA, DESCA, WIN, WNEW, IFAIL, ICLUSTR, GAP, IPREPAD, IPOSTPAD, WORK, LWORK, RWORK, LRWORK, LWORK1, IWORK, LIWORK, RESULT, TSTNRM, QTQNRM, NOUT)
Definition: pzgsepsubtst.f:10
pzmatgen
subroutine pzmatgen(ICTXT, AFORM, DIAG, M, N, MB, NB, A, LDA, IAROW, IACOL, ISEED, IROFF, IRNUM, ICOFF, ICNUM, MYROW, MYCOL, NPROW, NPCOL)
Definition: pzmatgen.f:4
zlatms
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
Definition: zlatms.f:3
pzlasizegsep
subroutine pzlasizegsep(DESCA, IPREPAD, IPOSTPAD, SIZEMQRLEFT, SIZEMQRRIGHT, SIZEQRF, SIZETMS, RSIZEQTQ, RSIZECHK, SIZEHEEVX, RSIZEHEEVX, ISIZEHEEVX, SIZESUBTST, RSIZESUBTST, ISIZESUBTST, SIZETST, RSIZETST, ISIZETST)
Definition: pzlasizegsep.f:7
pzlatms
subroutine pzlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, IA, JA, DESCA, ORDER, WORK, LWORK, INFO)
Definition: pzlatms.f:6
pzelset
subroutine pzelset(A, IA, JA, DESCA, ALPHA)
Definition: pzelset.f:2
pzlasizeheevx
subroutine pzlasizeheevx(WKNOWN, RANGE, N, DESCA, VL, VU, IL, IU, ISEED, WIN, MAXSIZE, VECSIZE, VALSIZE)
Definition: pzlasizeheevx.f:5