LAPACK  3.10.1
LAPACK: Linear Algebra PACKage
cdrvrf1.f
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1 *> \brief \b CDRVRF1
2 *
3 * =========== DOCUMENTATION ===========
4 *
5 * Online html documentation available at
6 * http://www.netlib.org/lapack/explore-html/
7 *
8 * Definition:
9 * ===========
10 *
11 * SUBROUTINE CDRVRF1( NOUT, NN, NVAL, THRESH, A, LDA, ARF, WORK )
12 *
13 * .. Scalar Arguments ..
14 * INTEGER LDA, NN, NOUT
15 * REAL THRESH
16 * ..
17 * .. Array Arguments ..
18 * INTEGER NVAL( NN )
19 * REAL WORK( * )
20 * COMPLEX A( LDA, * ), ARF( * )
21 * ..
22 *
23 *
24 *> \par Purpose:
25 * =============
26 *>
27 *> \verbatim
28 *>
29 *> CDRVRF1 tests the LAPACK RFP routines:
30 *> CLANHF.F
31 *> \endverbatim
32 *
33 * Arguments:
34 * ==========
35 *
36 *> \param[in] NOUT
37 *> \verbatim
38 *> NOUT is INTEGER
39 *> The unit number for output.
40 *> \endverbatim
41 *>
42 *> \param[in] NN
43 *> \verbatim
44 *> NN is INTEGER
45 *> The number of values of N contained in the vector NVAL.
46 *> \endverbatim
47 *>
48 *> \param[in] NVAL
49 *> \verbatim
50 *> NVAL is INTEGER array, dimension (NN)
51 *> The values of the matrix dimension N.
52 *> \endverbatim
53 *>
54 *> \param[in] THRESH
55 *> \verbatim
56 *> THRESH is REAL
57 *> The threshold value for the test ratios. A result is
58 *> included in the output file if RESULT >= THRESH. To have
59 *> every test ratio printed, use THRESH = 0.
60 *> \endverbatim
61 *>
62 *> \param[out] A
63 *> \verbatim
64 *> A is COMPLEX array, dimension (LDA,NMAX)
65 *> \endverbatim
66 *>
67 *> \param[in] LDA
68 *> \verbatim
69 *> LDA is INTEGER
70 *> The leading dimension of the array A. LDA >= max(1,NMAX).
71 *> \endverbatim
72 *>
73 *> \param[out] ARF
74 *> \verbatim
75 *> ARF is COMPLEX array, dimension ((NMAX*(NMAX+1))/2).
76 *> \endverbatim
77 *>
78 *> \param[out] WORK
79 *> \verbatim
80 *> WORK is COMPLEX array, dimension ( NMAX )
81 *> \endverbatim
82 *
83 * Authors:
84 * ========
85 *
86 *> \author Univ. of Tennessee
87 *> \author Univ. of California Berkeley
88 *> \author Univ. of Colorado Denver
89 *> \author NAG Ltd.
90 *
91 *> \ingroup complex_lin
92 *
93 * =====================================================================
94  SUBROUTINE cdrvrf1( NOUT, NN, NVAL, THRESH, A, LDA, ARF, WORK )
95 *
96 * -- LAPACK test routine --
97 * -- LAPACK is a software package provided by Univ. of Tennessee, --
98 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
99 *
100 * .. Scalar Arguments ..
101  INTEGER LDA, NN, NOUT
102  REAL THRESH
103 * ..
104 * .. Array Arguments ..
105  INTEGER NVAL( NN )
106  REAL WORK( * )
107  COMPLEX A( LDA, * ), ARF( * )
108 * ..
109 *
110 * =====================================================================
111 * ..
112 * .. Parameters ..
113  REAL ONE
114  parameter( one = 1.0e+0 )
115  INTEGER NTESTS
116  parameter( ntests = 1 )
117 * ..
118 * .. Local Scalars ..
119  CHARACTER UPLO, CFORM, NORM
120  INTEGER I, IFORM, IIN, IIT, INFO, INORM, IUPLO, J, N,
121  + NERRS, NFAIL, NRUN
122  REAL EPS, LARGE, NORMA, NORMARF, SMALL
123 * ..
124 * .. Local Arrays ..
125  CHARACTER UPLOS( 2 ), FORMS( 2 ), NORMS( 4 )
126  INTEGER ISEED( 4 ), ISEEDY( 4 )
127  REAL RESULT( NTESTS )
128 * ..
129 * .. External Functions ..
130  COMPLEX CLARND
131  REAL SLAMCH, CLANHE, CLANHF
132  EXTERNAL slamch, clarnd, clanhe, clanhf
133 * ..
134 * .. External Subroutines ..
135  EXTERNAL ctrttf
136 * ..
137 * .. Scalars in Common ..
138  CHARACTER*32 SRNAMT
139 * ..
140 * .. Common blocks ..
141  COMMON / srnamc / srnamt
142 * ..
143 * .. Data statements ..
144  DATA iseedy / 1988, 1989, 1990, 1991 /
145  DATA uplos / 'U', 'L' /
146  DATA forms / 'N', 'C' /
147  DATA norms / 'M', '1', 'I', 'F' /
148 * ..
149 * .. Executable Statements ..
150 *
151 * Initialize constants and the random number seed.
152 *
153  nrun = 0
154  nfail = 0
155  nerrs = 0
156  info = 0
157  DO 10 i = 1, 4
158  iseed( i ) = iseedy( i )
159  10 CONTINUE
160 *
161  eps = slamch( 'Precision' )
162  small = slamch( 'Safe minimum' )
163  large = one / small
164  small = small * lda * lda
165  large = large / lda / lda
166 *
167  DO 130 iin = 1, nn
168 *
169  n = nval( iin )
170 *
171  DO 120 iit = 1, 3
172 * Nothing to do for N=0
173  IF ( n .EQ. 0 ) EXIT
174 *
175 * IIT = 1 : random matrix
176 * IIT = 2 : random matrix scaled near underflow
177 * IIT = 3 : random matrix scaled near overflow
178 *
179  DO j = 1, n
180  DO i = 1, n
181  a( i, j) = clarnd( 4, iseed )
182  END DO
183  END DO
184 *
185  IF ( iit.EQ.2 ) THEN
186  DO j = 1, n
187  DO i = 1, n
188  a( i, j) = a( i, j ) * large
189  END DO
190  END DO
191  END IF
192 *
193  IF ( iit.EQ.3 ) THEN
194  DO j = 1, n
195  DO i = 1, n
196  a( i, j) = a( i, j) * small
197  END DO
198  END DO
199  END IF
200 *
201 * Do first for UPLO = 'U', then for UPLO = 'L'
202 *
203  DO 110 iuplo = 1, 2
204 *
205  uplo = uplos( iuplo )
206 *
207 * Do first for CFORM = 'N', then for CFORM = 'C'
208 *
209  DO 100 iform = 1, 2
210 *
211  cform = forms( iform )
212 *
213  srnamt = 'CTRTTF'
214  CALL ctrttf( cform, uplo, n, a, lda, arf, info )
215 *
216 * Check error code from CTRTTF
217 *
218  IF( info.NE.0 ) THEN
219  IF( nfail.EQ.0 .AND. nerrs.EQ.0 ) THEN
220  WRITE( nout, * )
221  WRITE( nout, fmt = 9999 )
222  END IF
223  WRITE( nout, fmt = 9998 ) srnamt, uplo, cform, n
224  nerrs = nerrs + 1
225  GO TO 100
226  END IF
227 *
228  DO 90 inorm = 1, 4
229 *
230 * Check all four norms: 'M', '1', 'I', 'F'
231 *
232  norm = norms( inorm )
233  normarf = clanhf( norm, cform, uplo, n, arf, work )
234  norma = clanhe( norm, uplo, n, a, lda, work )
235 *
236  result(1) = ( norma - normarf ) / norma / eps
237  nrun = nrun + 1
238 *
239  IF( result(1).GE.thresh ) THEN
240  IF( nfail.EQ.0 .AND. nerrs.EQ.0 ) THEN
241  WRITE( nout, * )
242  WRITE( nout, fmt = 9999 )
243  END IF
244  WRITE( nout, fmt = 9997 ) 'CLANHF',
245  + n, iit, uplo, cform, norm, result(1)
246  nfail = nfail + 1
247  END IF
248  90 CONTINUE
249  100 CONTINUE
250  110 CONTINUE
251  120 CONTINUE
252  130 CONTINUE
253 *
254 * Print a summary of the results.
255 *
256  IF ( nfail.EQ.0 ) THEN
257  WRITE( nout, fmt = 9996 )'CLANHF', nrun
258  ELSE
259  WRITE( nout, fmt = 9995 ) 'CLANHF', nfail, nrun
260  END IF
261  IF ( nerrs.NE.0 ) THEN
262  WRITE( nout, fmt = 9994 ) nerrs, 'CLANHF'
263  END IF
264 *
265  9999 FORMAT( 1x, ' *** Error(s) or Failure(s) while testing CLANHF
266  + ***')
267  9998 FORMAT( 1x, ' Error in ',a6,' with UPLO=''',a1,''', FORM=''',
268  + a1,''', N=',i5)
269  9997 FORMAT( 1x, ' Failure in ',a6,' N=',i5,' TYPE=',i5,' UPLO=''',
270  + a1, ''', FORM =''',a1,''', NORM=''',a1,''', test=',g12.5)
271  9996 FORMAT( 1x, 'All tests for ',a6,' auxiliary routine passed the ',
272  + 'threshold ( ',i5,' tests run)')
273  9995 FORMAT( 1x, a6, ' auxiliary routine: ',i5,' out of ',i5,
274  + ' tests failed to pass the threshold')
275  9994 FORMAT( 26x, i5,' error message recorded (',a6,')')
276 *
277  RETURN
278 *
279 * End of CDRVRF1
280 *
281  END
subroutine cdrvrf1(NOUT, NN, NVAL, THRESH, A, LDA, ARF, WORK)
CDRVRF1
Definition: cdrvrf1.f:95
subroutine ctrttf(TRANSR, UPLO, N, A, LDA, ARF, INFO)
CTRTTF copies a triangular matrix from the standard full format (TR) to the rectangular full packed f...
Definition: ctrttf.f:216