1 SUBROUTINE CCHKTP( DOTYPE, NN, NVAL, NNS, NSVAL, THRESH, TSTERR,
2 $ NMAX, AP, AINVP, B, X, XACT, WORK, RWORK,
3 $ NOUT )
4 *
5 * -- LAPACK test routine (version 3.1) --
6 * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
7 * November 2006
8 *
9 * .. Scalar Arguments ..
10 LOGICAL TSTERR
11 INTEGER NMAX, NN, NNS, NOUT
12 REAL THRESH
13 * ..
14 * .. Array Arguments ..
15 LOGICAL DOTYPE( * )
16 INTEGER NSVAL( * ), NVAL( * )
17 REAL RWORK( * )
18 COMPLEX AINVP( * ), AP( * ), B( * ), WORK( * ), X( * ),
19 $ XACT( * )
20 * ..
21 *
22 * Purpose
23 * =======
24 *
25 * CCHKTP tests CTPTRI, -TRS, -RFS, and -CON, and CLATPS
26 *
27 * Arguments
28 * =========
29 *
30 * DOTYPE (input) LOGICAL array, dimension (NTYPES)
31 * The matrix types to be used for testing. Matrices of type j
32 * (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
33 * .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
34 *
35 * NN (input) INTEGER
36 * The number of values of N contained in the vector NVAL.
37 *
38 * NVAL (input) INTEGER array, dimension (NN)
39 * The values of the matrix column dimension N.
40 *
41 * NNS (input) INTEGER
42 * The number of values of NRHS contained in the vector NSVAL.
43 *
44 * NSVAL (input) INTEGER array, dimension (NNS)
45 * The values of the number of right hand sides NRHS.
46 *
47 * THRESH (input) REAL
48 * The threshold value for the test ratios. A result is
49 * included in the output file if RESULT >= THRESH. To have
50 * every test ratio printed, use THRESH = 0.
51 *
52 * TSTERR (input) LOGICAL
53 * Flag that indicates whether error exits are to be tested.
54 *
55 * NMAX (input) INTEGER
56 * The leading dimension of the work arrays. NMAX >= the
57 * maximumm value of N in NVAL.
58 *
59 * AP (workspace) COMPLEX array, dimension (NMAX*(NMAX+1)/2)
60 *
61 * AINVP (workspace) COMPLEX array, dimension (NMAX*(NMAX+1)/2)
62 *
63 * B (workspace) COMPLEX array, dimension (NMAX*NSMAX)
64 * where NSMAX is the largest entry in NSVAL.
65 *
66 * X (workspace) COMPLEX array, dimension (NMAX*NSMAX)
67 *
68 * XACT (workspace) COMPLEX array, dimension (NMAX*NSMAX)
69 *
70 * WORK (workspace) COMPLEX array, dimension
71 * (NMAX*max(3,NSMAX))
72 *
73 * RWORK (workspace) REAL array, dimension
74 * (max(NMAX,2*NSMAX))
75 *
76 * NOUT (input) INTEGER
77 * The unit number for output.
78 *
79 * =====================================================================
80 *
81 * .. Parameters ..
82 INTEGER NTYPE1, NTYPES
83 PARAMETER ( NTYPE1 = 10, NTYPES = 18 )
84 INTEGER NTESTS
85 PARAMETER ( NTESTS = 9 )
86 INTEGER NTRAN
87 PARAMETER ( NTRAN = 3 )
88 REAL ONE, ZERO
89 PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0 )
90 * ..
91 * .. Local Scalars ..
92 CHARACTER DIAG, NORM, TRANS, UPLO, XTYPE
93 CHARACTER*3 PATH
94 INTEGER I, IDIAG, IMAT, IN, INFO, IRHS, ITRAN, IUPLO,
95 $ K, LAP, LDA, N, NERRS, NFAIL, NRHS, NRUN
96 REAL AINVNM, ANORM, RCOND, RCONDC, RCONDI, RCONDO,
97 $ SCALE
98 * ..
99 * .. Local Arrays ..
100 CHARACTER TRANSS( NTRAN ), UPLOS( 2 )
101 INTEGER ISEED( 4 ), ISEEDY( 4 )
102 REAL RESULT( NTESTS )
103 * ..
104 * .. External Functions ..
105 LOGICAL LSAME
106 REAL CLANTP
107 EXTERNAL LSAME, CLANTP
108 * ..
109 * .. External Subroutines ..
110 EXTERNAL ALAERH, ALAHD, ALASUM, CCOPY, CERRTR, CGET04,
111 $ CLACPY, CLARHS, CLATPS, CLATTP, CTPCON, CTPRFS,
112 $ CTPT01, CTPT02, CTPT03, CTPT05, CTPT06, CTPTRI,
113 $ CTPTRS
114 * ..
115 * .. Scalars in Common ..
116 LOGICAL LERR, OK
117 CHARACTER*32 SRNAMT
118 INTEGER INFOT, IOUNIT
119 * ..
120 * .. Common blocks ..
121 COMMON / INFOC / INFOT, IOUNIT, OK, LERR
122 COMMON / SRNAMC / SRNAMT
123 * ..
124 * .. Intrinsic Functions ..
125 INTRINSIC MAX
126 * ..
127 * .. Data statements ..
128 DATA ISEEDY / 1988, 1989, 1990, 1991 /
129 DATA UPLOS / 'U', 'L' / , TRANSS / 'N', 'T', 'C' /
130 * ..
131 * .. Executable Statements ..
132 *
133 * Initialize constants and the random number seed.
134 *
135 PATH( 1: 1 ) = 'Complex precision'
136 PATH( 2: 3 ) = 'TP'
137 NRUN = 0
138 NFAIL = 0
139 NERRS = 0
140 DO 10 I = 1, 4
141 ISEED( I ) = ISEEDY( I )
142 10 CONTINUE
143 *
144 * Test the error exits
145 *
146 IF( TSTERR )
147 $ CALL CERRTR( PATH, NOUT )
148 INFOT = 0
149 *
150 DO 110 IN = 1, NN
151 *
152 * Do for each value of N in NVAL
153 *
154 N = NVAL( IN )
155 LDA = MAX( 1, N )
156 LAP = LDA*( LDA+1 ) / 2
157 XTYPE = 'N'
158 *
159 DO 70 IMAT = 1, NTYPE1
160 *
161 * Do the tests only if DOTYPE( IMAT ) is true.
162 *
163 IF( .NOT.DOTYPE( IMAT ) )
164 $ GO TO 70
165 *
166 DO 60 IUPLO = 1, 2
167 *
168 * Do first for UPLO = 'U', then for UPLO = 'L'
169 *
170 UPLO = UPLOS( IUPLO )
171 *
172 * Call CLATTP to generate a triangular test matrix.
173 *
174 SRNAMT = 'CLATTP'
175 CALL CLATTP( IMAT, UPLO, 'No transpose', DIAG, ISEED, N,
176 $ AP, X, WORK, RWORK, INFO )
177 *
178 * Set IDIAG = 1 for non-unit matrices, 2 for unit.
179 *
180 IF( LSAME( DIAG, 'N' ) ) THEN
181 IDIAG = 1
182 ELSE
183 IDIAG = 2
184 END IF
185 *
186 *+ TEST 1
187 * Form the inverse of A.
188 *
189 IF( N.GT.0 )
190 $ CALL CCOPY( LAP, AP, 1, AINVP, 1 )
191 SRNAMT = 'CTPTRI'
192 CALL CTPTRI( UPLO, DIAG, N, AINVP, INFO )
193 *
194 * Check error code from CTPTRI.
195 *
196 IF( INFO.NE.0 )
197 $ CALL ALAERH( PATH, 'CTPTRI', INFO, 0, UPLO // DIAG, N,
198 $ N, -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
199 *
200 * Compute the infinity-norm condition number of A.
201 *
202 ANORM = CLANTP( 'I', UPLO, DIAG, N, AP, RWORK )
203 AINVNM = CLANTP( 'I', UPLO, DIAG, N, AINVP, RWORK )
204 IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
205 RCONDI = ONE
206 ELSE
207 RCONDI = ( ONE / ANORM ) / AINVNM
208 END IF
209 *
210 * Compute the residual for the triangular matrix times its
211 * inverse. Also compute the 1-norm condition number of A.
212 *
213 CALL CTPT01( UPLO, DIAG, N, AP, AINVP, RCONDO, RWORK,
214 $ RESULT( 1 ) )
215 *
216 * Print the test ratio if it is .GE. THRESH.
217 *
218 IF( RESULT( 1 ).GE.THRESH ) THEN
219 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
220 $ CALL ALAHD( NOUT, PATH )
221 WRITE( NOUT, FMT = 9999 )UPLO, DIAG, N, IMAT, 1,
222 $ RESULT( 1 )
223 NFAIL = NFAIL + 1
224 END IF
225 NRUN = NRUN + 1
226 *
227 DO 40 IRHS = 1, NNS
228 NRHS = NSVAL( IRHS )
229 XTYPE = 'N'
230 *
231 DO 30 ITRAN = 1, NTRAN
232 *
233 * Do for op(A) = A, A**T, or A**H.
234 *
235 TRANS = TRANSS( ITRAN )
236 IF( ITRAN.EQ.1 ) THEN
237 NORM = 'O'
238 RCONDC = RCONDO
239 ELSE
240 NORM = 'I'
241 RCONDC = RCONDI
242 END IF
243 *
244 *+ TEST 2
245 * Solve and compute residual for op(A)*x = b.
246 *
247 SRNAMT = 'CLARHS'
248 CALL CLARHS( PATH, XTYPE, UPLO, TRANS, N, N, 0,
249 $ IDIAG, NRHS, AP, LAP, XACT, LDA, B,
250 $ LDA, ISEED, INFO )
251 XTYPE = 'C'
252 CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
253 *
254 SRNAMT = 'CTPTRS'
255 CALL CTPTRS( UPLO, TRANS, DIAG, N, NRHS, AP, X,
256 $ LDA, INFO )
257 *
258 * Check error code from CTPTRS.
259 *
260 IF( INFO.NE.0 )
261 $ CALL ALAERH( PATH, 'CTPTRS', INFO, 0,
262 $ UPLO // TRANS // DIAG, N, N, -1,
263 $ -1, -1, IMAT, NFAIL, NERRS, NOUT )
264 *
265 CALL CTPT02( UPLO, TRANS, DIAG, N, NRHS, AP, X,
266 $ LDA, B, LDA, WORK, RWORK,
267 $ RESULT( 2 ) )
268 *
269 *+ TEST 3
270 * Check solution from generated exact solution.
271 *
272 CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
273 $ RESULT( 3 ) )
274 *
275 *+ TESTS 4, 5, and 6
276 * Use iterative refinement to improve the solution and
277 * compute error bounds.
278 *
279 SRNAMT = 'CTPRFS'
280 CALL CTPRFS( UPLO, TRANS, DIAG, N, NRHS, AP, B,
281 $ LDA, X, LDA, RWORK, RWORK( NRHS+1 ),
282 $ WORK, RWORK( 2*NRHS+1 ), INFO )
283 *
284 * Check error code from CTPRFS.
285 *
286 IF( INFO.NE.0 )
287 $ CALL ALAERH( PATH, 'CTPRFS', INFO, 0,
288 $ UPLO // TRANS // DIAG, N, N, -1,
289 $ -1, NRHS, IMAT, NFAIL, NERRS,
290 $ NOUT )
291 *
292 CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
293 $ RESULT( 4 ) )
294 CALL CTPT05( UPLO, TRANS, DIAG, N, NRHS, AP, B,
295 $ LDA, X, LDA, XACT, LDA, RWORK,
296 $ RWORK( NRHS+1 ), RESULT( 5 ) )
297 *
298 * Print information about the tests that did not pass
299 * the threshold.
300 *
301 DO 20 K = 2, 6
302 IF( RESULT( K ).GE.THRESH ) THEN
303 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
304 $ CALL ALAHD( NOUT, PATH )
305 WRITE( NOUT, FMT = 9998 )UPLO, TRANS, DIAG,
306 $ N, NRHS, IMAT, K, RESULT( K )
307 NFAIL = NFAIL + 1
308 END IF
309 20 CONTINUE
310 NRUN = NRUN + 5
311 30 CONTINUE
312 40 CONTINUE
313 *
314 *+ TEST 7
315 * Get an estimate of RCOND = 1/CNDNUM.
316 *
317 DO 50 ITRAN = 1, 2
318 IF( ITRAN.EQ.1 ) THEN
319 NORM = 'O'
320 RCONDC = RCONDO
321 ELSE
322 NORM = 'I'
323 RCONDC = RCONDI
324 END IF
325 SRNAMT = 'CTPCON'
326 CALL CTPCON( NORM, UPLO, DIAG, N, AP, RCOND, WORK,
327 $ RWORK, INFO )
328 *
329 * Check error code from CTPCON.
330 *
331 IF( INFO.NE.0 )
332 $ CALL ALAERH( PATH, 'CTPCON', INFO, 0,
333 $ NORM // UPLO // DIAG, N, N, -1, -1,
334 $ -1, IMAT, NFAIL, NERRS, NOUT )
335 *
336 CALL CTPT06( RCOND, RCONDC, UPLO, DIAG, N, AP, RWORK,
337 $ RESULT( 7 ) )
338 *
339 * Print the test ratio if it is .GE. THRESH.
340 *
341 IF( RESULT( 7 ).GE.THRESH ) THEN
342 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
343 $ CALL ALAHD( NOUT, PATH )
344 WRITE( NOUT, FMT = 9997 ) 'CTPCON', NORM, UPLO,
345 $ DIAG, N, IMAT, 7, RESULT( 7 )
346 NFAIL = NFAIL + 1
347 END IF
348 NRUN = NRUN + 1
349 50 CONTINUE
350 60 CONTINUE
351 70 CONTINUE
352 *
353 * Use pathological test matrices to test CLATPS.
354 *
355 DO 100 IMAT = NTYPE1 + 1, NTYPES
356 *
357 * Do the tests only if DOTYPE( IMAT ) is true.
358 *
359 IF( .NOT.DOTYPE( IMAT ) )
360 $ GO TO 100
361 *
362 DO 90 IUPLO = 1, 2
363 *
364 * Do first for UPLO = 'U', then for UPLO = 'L'
365 *
366 UPLO = UPLOS( IUPLO )
367 DO 80 ITRAN = 1, NTRAN
368 *
369 * Do for op(A) = A, A**T, or A**H.
370 *
371 TRANS = TRANSS( ITRAN )
372 *
373 * Call CLATTP to generate a triangular test matrix.
374 *
375 SRNAMT = 'CLATTP'
376 CALL CLATTP( IMAT, UPLO, TRANS, DIAG, ISEED, N, AP, X,
377 $ WORK, RWORK, INFO )
378 *
379 *+ TEST 8
380 * Solve the system op(A)*x = b.
381 *
382 SRNAMT = 'CLATPS'
383 CALL CCOPY( N, X, 1, B, 1 )
384 CALL CLATPS( UPLO, TRANS, DIAG, 'N', N, AP, B, SCALE,
385 $ RWORK, INFO )
386 *
387 * Check error code from CLATPS.
388 *
389 IF( INFO.NE.0 )
390 $ CALL ALAERH( PATH, 'CLATPS', INFO, 0,
391 $ UPLO // TRANS // DIAG // 'N', N, N,
392 $ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
393 *
394 CALL CTPT03( UPLO, TRANS, DIAG, N, 1, AP, SCALE,
395 $ RWORK, ONE, B, LDA, X, LDA, WORK,
396 $ RESULT( 8 ) )
397 *
398 *+ TEST 9
399 * Solve op(A)*x = b again with NORMIN = 'Y'.
400 *
401 CALL CCOPY( N, X, 1, B( N+1 ), 1 )
402 CALL CLATPS( UPLO, TRANS, DIAG, 'Y', N, AP, B( N+1 ),
403 $ SCALE, RWORK, INFO )
404 *
405 * Check error code from CLATPS.
406 *
407 IF( INFO.NE.0 )
408 $ CALL ALAERH( PATH, 'CLATPS', INFO, 0,
409 $ UPLO // TRANS // DIAG // 'Y', N, N,
410 $ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
411 *
412 CALL CTPT03( UPLO, TRANS, DIAG, N, 1, AP, SCALE,
413 $ RWORK, ONE, B( N+1 ), LDA, X, LDA, WORK,
414 $ RESULT( 9 ) )
415 *
416 * Print information about the tests that did not pass
417 * the threshold.
418 *
419 IF( RESULT( 8 ).GE.THRESH ) THEN
420 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
421 $ CALL ALAHD( NOUT, PATH )
422 WRITE( NOUT, FMT = 9996 )'CLATPS', UPLO, TRANS,
423 $ DIAG, 'N', N, IMAT, 8, RESULT( 8 )
424 NFAIL = NFAIL + 1
425 END IF
426 IF( RESULT( 9 ).GE.THRESH ) THEN
427 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
428 $ CALL ALAHD( NOUT, PATH )
429 WRITE( NOUT, FMT = 9996 )'CLATPS', UPLO, TRANS,
430 $ DIAG, 'Y', N, IMAT, 9, RESULT( 9 )
431 NFAIL = NFAIL + 1
432 END IF
433 NRUN = NRUN + 2
434 80 CONTINUE
435 90 CONTINUE
436 100 CONTINUE
437 110 CONTINUE
438 *
439 * Print a summary of the results.
440 *
441 CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
442 *
443 9999 FORMAT( ' UPLO=''', A1, ''', DIAG=''', A1, ''', N=', I5,
444 $ ', type ', I2, ', test(', I2, ')= ', G12.5 )
445 9998 FORMAT( ' UPLO=''', A1, ''', TRANS=''', A1, ''', DIAG=''', A1,
446 $ ''', N=', I5, ''', NRHS=', I5, ', type ', I2, ', test(',
447 $ I2, ')= ', G12.5 )
448 9997 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ''', A1, ''',',
449 $ I5, ', ... ), type ', I2, ', test(', I2, ')=', G12.5 )
450 9996 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ''', A1, ''', ''',
451 $ A1, ''',', I5, ', ... ), type ', I2, ', test(', I2, ')=',
452 $ G12.5 )
453 RETURN
454 *
455 * End of CCHKTP
456 *
457 END
2 $ NMAX, AP, AINVP, B, X, XACT, WORK, RWORK,
3 $ NOUT )
4 *
5 * -- LAPACK test routine (version 3.1) --
6 * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
7 * November 2006
8 *
9 * .. Scalar Arguments ..
10 LOGICAL TSTERR
11 INTEGER NMAX, NN, NNS, NOUT
12 REAL THRESH
13 * ..
14 * .. Array Arguments ..
15 LOGICAL DOTYPE( * )
16 INTEGER NSVAL( * ), NVAL( * )
17 REAL RWORK( * )
18 COMPLEX AINVP( * ), AP( * ), B( * ), WORK( * ), X( * ),
19 $ XACT( * )
20 * ..
21 *
22 * Purpose
23 * =======
24 *
25 * CCHKTP tests CTPTRI, -TRS, -RFS, and -CON, and CLATPS
26 *
27 * Arguments
28 * =========
29 *
30 * DOTYPE (input) LOGICAL array, dimension (NTYPES)
31 * The matrix types to be used for testing. Matrices of type j
32 * (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
33 * .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
34 *
35 * NN (input) INTEGER
36 * The number of values of N contained in the vector NVAL.
37 *
38 * NVAL (input) INTEGER array, dimension (NN)
39 * The values of the matrix column dimension N.
40 *
41 * NNS (input) INTEGER
42 * The number of values of NRHS contained in the vector NSVAL.
43 *
44 * NSVAL (input) INTEGER array, dimension (NNS)
45 * The values of the number of right hand sides NRHS.
46 *
47 * THRESH (input) REAL
48 * The threshold value for the test ratios. A result is
49 * included in the output file if RESULT >= THRESH. To have
50 * every test ratio printed, use THRESH = 0.
51 *
52 * TSTERR (input) LOGICAL
53 * Flag that indicates whether error exits are to be tested.
54 *
55 * NMAX (input) INTEGER
56 * The leading dimension of the work arrays. NMAX >= the
57 * maximumm value of N in NVAL.
58 *
59 * AP (workspace) COMPLEX array, dimension (NMAX*(NMAX+1)/2)
60 *
61 * AINVP (workspace) COMPLEX array, dimension (NMAX*(NMAX+1)/2)
62 *
63 * B (workspace) COMPLEX array, dimension (NMAX*NSMAX)
64 * where NSMAX is the largest entry in NSVAL.
65 *
66 * X (workspace) COMPLEX array, dimension (NMAX*NSMAX)
67 *
68 * XACT (workspace) COMPLEX array, dimension (NMAX*NSMAX)
69 *
70 * WORK (workspace) COMPLEX array, dimension
71 * (NMAX*max(3,NSMAX))
72 *
73 * RWORK (workspace) REAL array, dimension
74 * (max(NMAX,2*NSMAX))
75 *
76 * NOUT (input) INTEGER
77 * The unit number for output.
78 *
79 * =====================================================================
80 *
81 * .. Parameters ..
82 INTEGER NTYPE1, NTYPES
83 PARAMETER ( NTYPE1 = 10, NTYPES = 18 )
84 INTEGER NTESTS
85 PARAMETER ( NTESTS = 9 )
86 INTEGER NTRAN
87 PARAMETER ( NTRAN = 3 )
88 REAL ONE, ZERO
89 PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0 )
90 * ..
91 * .. Local Scalars ..
92 CHARACTER DIAG, NORM, TRANS, UPLO, XTYPE
93 CHARACTER*3 PATH
94 INTEGER I, IDIAG, IMAT, IN, INFO, IRHS, ITRAN, IUPLO,
95 $ K, LAP, LDA, N, NERRS, NFAIL, NRHS, NRUN
96 REAL AINVNM, ANORM, RCOND, RCONDC, RCONDI, RCONDO,
97 $ SCALE
98 * ..
99 * .. Local Arrays ..
100 CHARACTER TRANSS( NTRAN ), UPLOS( 2 )
101 INTEGER ISEED( 4 ), ISEEDY( 4 )
102 REAL RESULT( NTESTS )
103 * ..
104 * .. External Functions ..
105 LOGICAL LSAME
106 REAL CLANTP
107 EXTERNAL LSAME, CLANTP
108 * ..
109 * .. External Subroutines ..
110 EXTERNAL ALAERH, ALAHD, ALASUM, CCOPY, CERRTR, CGET04,
111 $ CLACPY, CLARHS, CLATPS, CLATTP, CTPCON, CTPRFS,
112 $ CTPT01, CTPT02, CTPT03, CTPT05, CTPT06, CTPTRI,
113 $ CTPTRS
114 * ..
115 * .. Scalars in Common ..
116 LOGICAL LERR, OK
117 CHARACTER*32 SRNAMT
118 INTEGER INFOT, IOUNIT
119 * ..
120 * .. Common blocks ..
121 COMMON / INFOC / INFOT, IOUNIT, OK, LERR
122 COMMON / SRNAMC / SRNAMT
123 * ..
124 * .. Intrinsic Functions ..
125 INTRINSIC MAX
126 * ..
127 * .. Data statements ..
128 DATA ISEEDY / 1988, 1989, 1990, 1991 /
129 DATA UPLOS / 'U', 'L' / , TRANSS / 'N', 'T', 'C' /
130 * ..
131 * .. Executable Statements ..
132 *
133 * Initialize constants and the random number seed.
134 *
135 PATH( 1: 1 ) = 'Complex precision'
136 PATH( 2: 3 ) = 'TP'
137 NRUN = 0
138 NFAIL = 0
139 NERRS = 0
140 DO 10 I = 1, 4
141 ISEED( I ) = ISEEDY( I )
142 10 CONTINUE
143 *
144 * Test the error exits
145 *
146 IF( TSTERR )
147 $ CALL CERRTR( PATH, NOUT )
148 INFOT = 0
149 *
150 DO 110 IN = 1, NN
151 *
152 * Do for each value of N in NVAL
153 *
154 N = NVAL( IN )
155 LDA = MAX( 1, N )
156 LAP = LDA*( LDA+1 ) / 2
157 XTYPE = 'N'
158 *
159 DO 70 IMAT = 1, NTYPE1
160 *
161 * Do the tests only if DOTYPE( IMAT ) is true.
162 *
163 IF( .NOT.DOTYPE( IMAT ) )
164 $ GO TO 70
165 *
166 DO 60 IUPLO = 1, 2
167 *
168 * Do first for UPLO = 'U', then for UPLO = 'L'
169 *
170 UPLO = UPLOS( IUPLO )
171 *
172 * Call CLATTP to generate a triangular test matrix.
173 *
174 SRNAMT = 'CLATTP'
175 CALL CLATTP( IMAT, UPLO, 'No transpose', DIAG, ISEED, N,
176 $ AP, X, WORK, RWORK, INFO )
177 *
178 * Set IDIAG = 1 for non-unit matrices, 2 for unit.
179 *
180 IF( LSAME( DIAG, 'N' ) ) THEN
181 IDIAG = 1
182 ELSE
183 IDIAG = 2
184 END IF
185 *
186 *+ TEST 1
187 * Form the inverse of A.
188 *
189 IF( N.GT.0 )
190 $ CALL CCOPY( LAP, AP, 1, AINVP, 1 )
191 SRNAMT = 'CTPTRI'
192 CALL CTPTRI( UPLO, DIAG, N, AINVP, INFO )
193 *
194 * Check error code from CTPTRI.
195 *
196 IF( INFO.NE.0 )
197 $ CALL ALAERH( PATH, 'CTPTRI', INFO, 0, UPLO // DIAG, N,
198 $ N, -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
199 *
200 * Compute the infinity-norm condition number of A.
201 *
202 ANORM = CLANTP( 'I', UPLO, DIAG, N, AP, RWORK )
203 AINVNM = CLANTP( 'I', UPLO, DIAG, N, AINVP, RWORK )
204 IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
205 RCONDI = ONE
206 ELSE
207 RCONDI = ( ONE / ANORM ) / AINVNM
208 END IF
209 *
210 * Compute the residual for the triangular matrix times its
211 * inverse. Also compute the 1-norm condition number of A.
212 *
213 CALL CTPT01( UPLO, DIAG, N, AP, AINVP, RCONDO, RWORK,
214 $ RESULT( 1 ) )
215 *
216 * Print the test ratio if it is .GE. THRESH.
217 *
218 IF( RESULT( 1 ).GE.THRESH ) THEN
219 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
220 $ CALL ALAHD( NOUT, PATH )
221 WRITE( NOUT, FMT = 9999 )UPLO, DIAG, N, IMAT, 1,
222 $ RESULT( 1 )
223 NFAIL = NFAIL + 1
224 END IF
225 NRUN = NRUN + 1
226 *
227 DO 40 IRHS = 1, NNS
228 NRHS = NSVAL( IRHS )
229 XTYPE = 'N'
230 *
231 DO 30 ITRAN = 1, NTRAN
232 *
233 * Do for op(A) = A, A**T, or A**H.
234 *
235 TRANS = TRANSS( ITRAN )
236 IF( ITRAN.EQ.1 ) THEN
237 NORM = 'O'
238 RCONDC = RCONDO
239 ELSE
240 NORM = 'I'
241 RCONDC = RCONDI
242 END IF
243 *
244 *+ TEST 2
245 * Solve and compute residual for op(A)*x = b.
246 *
247 SRNAMT = 'CLARHS'
248 CALL CLARHS( PATH, XTYPE, UPLO, TRANS, N, N, 0,
249 $ IDIAG, NRHS, AP, LAP, XACT, LDA, B,
250 $ LDA, ISEED, INFO )
251 XTYPE = 'C'
252 CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
253 *
254 SRNAMT = 'CTPTRS'
255 CALL CTPTRS( UPLO, TRANS, DIAG, N, NRHS, AP, X,
256 $ LDA, INFO )
257 *
258 * Check error code from CTPTRS.
259 *
260 IF( INFO.NE.0 )
261 $ CALL ALAERH( PATH, 'CTPTRS', INFO, 0,
262 $ UPLO // TRANS // DIAG, N, N, -1,
263 $ -1, -1, IMAT, NFAIL, NERRS, NOUT )
264 *
265 CALL CTPT02( UPLO, TRANS, DIAG, N, NRHS, AP, X,
266 $ LDA, B, LDA, WORK, RWORK,
267 $ RESULT( 2 ) )
268 *
269 *+ TEST 3
270 * Check solution from generated exact solution.
271 *
272 CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
273 $ RESULT( 3 ) )
274 *
275 *+ TESTS 4, 5, and 6
276 * Use iterative refinement to improve the solution and
277 * compute error bounds.
278 *
279 SRNAMT = 'CTPRFS'
280 CALL CTPRFS( UPLO, TRANS, DIAG, N, NRHS, AP, B,
281 $ LDA, X, LDA, RWORK, RWORK( NRHS+1 ),
282 $ WORK, RWORK( 2*NRHS+1 ), INFO )
283 *
284 * Check error code from CTPRFS.
285 *
286 IF( INFO.NE.0 )
287 $ CALL ALAERH( PATH, 'CTPRFS', INFO, 0,
288 $ UPLO // TRANS // DIAG, N, N, -1,
289 $ -1, NRHS, IMAT, NFAIL, NERRS,
290 $ NOUT )
291 *
292 CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
293 $ RESULT( 4 ) )
294 CALL CTPT05( UPLO, TRANS, DIAG, N, NRHS, AP, B,
295 $ LDA, X, LDA, XACT, LDA, RWORK,
296 $ RWORK( NRHS+1 ), RESULT( 5 ) )
297 *
298 * Print information about the tests that did not pass
299 * the threshold.
300 *
301 DO 20 K = 2, 6
302 IF( RESULT( K ).GE.THRESH ) THEN
303 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
304 $ CALL ALAHD( NOUT, PATH )
305 WRITE( NOUT, FMT = 9998 )UPLO, TRANS, DIAG,
306 $ N, NRHS, IMAT, K, RESULT( K )
307 NFAIL = NFAIL + 1
308 END IF
309 20 CONTINUE
310 NRUN = NRUN + 5
311 30 CONTINUE
312 40 CONTINUE
313 *
314 *+ TEST 7
315 * Get an estimate of RCOND = 1/CNDNUM.
316 *
317 DO 50 ITRAN = 1, 2
318 IF( ITRAN.EQ.1 ) THEN
319 NORM = 'O'
320 RCONDC = RCONDO
321 ELSE
322 NORM = 'I'
323 RCONDC = RCONDI
324 END IF
325 SRNAMT = 'CTPCON'
326 CALL CTPCON( NORM, UPLO, DIAG, N, AP, RCOND, WORK,
327 $ RWORK, INFO )
328 *
329 * Check error code from CTPCON.
330 *
331 IF( INFO.NE.0 )
332 $ CALL ALAERH( PATH, 'CTPCON', INFO, 0,
333 $ NORM // UPLO // DIAG, N, N, -1, -1,
334 $ -1, IMAT, NFAIL, NERRS, NOUT )
335 *
336 CALL CTPT06( RCOND, RCONDC, UPLO, DIAG, N, AP, RWORK,
337 $ RESULT( 7 ) )
338 *
339 * Print the test ratio if it is .GE. THRESH.
340 *
341 IF( RESULT( 7 ).GE.THRESH ) THEN
342 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
343 $ CALL ALAHD( NOUT, PATH )
344 WRITE( NOUT, FMT = 9997 ) 'CTPCON', NORM, UPLO,
345 $ DIAG, N, IMAT, 7, RESULT( 7 )
346 NFAIL = NFAIL + 1
347 END IF
348 NRUN = NRUN + 1
349 50 CONTINUE
350 60 CONTINUE
351 70 CONTINUE
352 *
353 * Use pathological test matrices to test CLATPS.
354 *
355 DO 100 IMAT = NTYPE1 + 1, NTYPES
356 *
357 * Do the tests only if DOTYPE( IMAT ) is true.
358 *
359 IF( .NOT.DOTYPE( IMAT ) )
360 $ GO TO 100
361 *
362 DO 90 IUPLO = 1, 2
363 *
364 * Do first for UPLO = 'U', then for UPLO = 'L'
365 *
366 UPLO = UPLOS( IUPLO )
367 DO 80 ITRAN = 1, NTRAN
368 *
369 * Do for op(A) = A, A**T, or A**H.
370 *
371 TRANS = TRANSS( ITRAN )
372 *
373 * Call CLATTP to generate a triangular test matrix.
374 *
375 SRNAMT = 'CLATTP'
376 CALL CLATTP( IMAT, UPLO, TRANS, DIAG, ISEED, N, AP, X,
377 $ WORK, RWORK, INFO )
378 *
379 *+ TEST 8
380 * Solve the system op(A)*x = b.
381 *
382 SRNAMT = 'CLATPS'
383 CALL CCOPY( N, X, 1, B, 1 )
384 CALL CLATPS( UPLO, TRANS, DIAG, 'N', N, AP, B, SCALE,
385 $ RWORK, INFO )
386 *
387 * Check error code from CLATPS.
388 *
389 IF( INFO.NE.0 )
390 $ CALL ALAERH( PATH, 'CLATPS', INFO, 0,
391 $ UPLO // TRANS // DIAG // 'N', N, N,
392 $ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
393 *
394 CALL CTPT03( UPLO, TRANS, DIAG, N, 1, AP, SCALE,
395 $ RWORK, ONE, B, LDA, X, LDA, WORK,
396 $ RESULT( 8 ) )
397 *
398 *+ TEST 9
399 * Solve op(A)*x = b again with NORMIN = 'Y'.
400 *
401 CALL CCOPY( N, X, 1, B( N+1 ), 1 )
402 CALL CLATPS( UPLO, TRANS, DIAG, 'Y', N, AP, B( N+1 ),
403 $ SCALE, RWORK, INFO )
404 *
405 * Check error code from CLATPS.
406 *
407 IF( INFO.NE.0 )
408 $ CALL ALAERH( PATH, 'CLATPS', INFO, 0,
409 $ UPLO // TRANS // DIAG // 'Y', N, N,
410 $ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
411 *
412 CALL CTPT03( UPLO, TRANS, DIAG, N, 1, AP, SCALE,
413 $ RWORK, ONE, B( N+1 ), LDA, X, LDA, WORK,
414 $ RESULT( 9 ) )
415 *
416 * Print information about the tests that did not pass
417 * the threshold.
418 *
419 IF( RESULT( 8 ).GE.THRESH ) THEN
420 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
421 $ CALL ALAHD( NOUT, PATH )
422 WRITE( NOUT, FMT = 9996 )'CLATPS', UPLO, TRANS,
423 $ DIAG, 'N', N, IMAT, 8, RESULT( 8 )
424 NFAIL = NFAIL + 1
425 END IF
426 IF( RESULT( 9 ).GE.THRESH ) THEN
427 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
428 $ CALL ALAHD( NOUT, PATH )
429 WRITE( NOUT, FMT = 9996 )'CLATPS', UPLO, TRANS,
430 $ DIAG, 'Y', N, IMAT, 9, RESULT( 9 )
431 NFAIL = NFAIL + 1
432 END IF
433 NRUN = NRUN + 2
434 80 CONTINUE
435 90 CONTINUE
436 100 CONTINUE
437 110 CONTINUE
438 *
439 * Print a summary of the results.
440 *
441 CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
442 *
443 9999 FORMAT( ' UPLO=''', A1, ''', DIAG=''', A1, ''', N=', I5,
444 $ ', type ', I2, ', test(', I2, ')= ', G12.5 )
445 9998 FORMAT( ' UPLO=''', A1, ''', TRANS=''', A1, ''', DIAG=''', A1,
446 $ ''', N=', I5, ''', NRHS=', I5, ', type ', I2, ', test(',
447 $ I2, ')= ', G12.5 )
448 9997 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ''', A1, ''',',
449 $ I5, ', ... ), type ', I2, ', test(', I2, ')=', G12.5 )
450 9996 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ''', A1, ''', ''',
451 $ A1, ''',', I5, ', ... ), type ', I2, ', test(', I2, ')=',
452 $ G12.5 )
453 RETURN
454 *
455 * End of CCHKTP
456 *
457 END