numeric-linalg

Educational material on the SciPy implementation of numerical linear algebra algorithms

NameSizeMode
..
lapack/TESTING/EIG/slafts.f 5858B -rw-r--r--
001
002
003
004
005
006
007
008
009
010
011
012
013
014
015
016
017
018
019
020
021
022
023
024
025
026
027
028
029
030
031
032
033
034
035
036
037
038
039
040
041
042
043
044
045
046
047
048
049
050
051
052
053
054
055
056
057
058
059
060
061
062
063
064
065
066
067
068
069
070
071
072
073
074
075
076
077
078
079
080
081
082
083
084
085
086
087
088
089
090
091
092
093
094
095
096
097
098
099
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
*> \brief \b SLAFTS
*
*  =========== DOCUMENTATION ===========
*
* Online html documentation available at
*            http://www.netlib.org/lapack/explore-html/
*
*  Definition:
*  ===========
*
*       SUBROUTINE SLAFTS( TYPE, M, N, IMAT, NTESTS, RESULT, ISEED,
*                          THRESH, IOUNIT, IE )
*
*       .. Scalar Arguments ..
*       CHARACTER*3        TYPE
*       INTEGER            IE, IMAT, IOUNIT, M, N, NTESTS
*       REAL               THRESH
*       ..
*       .. Array Arguments ..
*       INTEGER            ISEED( 4 )
*       REAL               RESULT( * )
*       ..
*
*
*> \par Purpose:
*  =============
*>
*> \verbatim
*>
*>    SLAFTS tests the result vector against the threshold value to
*>    see which tests for this matrix type failed to pass the threshold.
*>    Output is to the file given by unit IOUNIT.
*> \endverbatim
*
*  Arguments:
*  ==========
*
*> \verbatim
*>  TYPE   - CHARACTER*3
*>           On entry, TYPE specifies the matrix type to be used in the
*>           printed messages.
*>           Not modified.
*>
*>  N      - INTEGER
*>           On entry, N specifies the order of the test matrix.
*>           Not modified.
*>
*>  IMAT   - INTEGER
*>           On entry, IMAT specifies the type of the test matrix.
*>           A listing of the different types is printed by SLAHD2
*>           to the output file if a test fails to pass the threshold.
*>           Not modified.
*>
*>  NTESTS - INTEGER
*>           On entry, NTESTS is the number of tests performed on the
*>           subroutines in the path given by TYPE.
*>           Not modified.
*>
*>  RESULT - REAL               array of dimension( NTESTS )
*>           On entry, RESULT contains the test ratios from the tests
*>           performed in the calling program.
*>           Not modified.
*>
*>  ISEED  - INTEGER            array of dimension( 4 )
*>           Contains the random seed that generated the matrix used
*>           for the tests whose ratios are in RESULT.
*>           Not modified.
*>
*>  THRESH - REAL
*>           On entry, THRESH specifies the acceptable threshold of the
*>           test ratios.  If RESULT( K ) > THRESH, then the K-th test
*>           did not pass the threshold and a message will be printed.
*>           Not modified.
*>
*>  IOUNIT - INTEGER
*>           On entry, IOUNIT specifies the unit number of the file
*>           to which the messages are printed.
*>           Not modified.
*>
*>  IE     - INTEGER
*>           On entry, IE contains the number of tests which have
*>           failed to pass the threshold so far.
*>           Updated on exit if any of the ratios in RESULT also fail.
*> \endverbatim
*
*  Authors:
*  ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup single_eig
*
*  =====================================================================
      SUBROUTINE SLAFTS( TYPE, M, N, IMAT, NTESTS, RESULT, ISEED,
     $                   THRESH, IOUNIT, IE )
*
*  -- LAPACK test routine --
*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*
*     .. Scalar Arguments ..
      CHARACTER*3        TYPE
      INTEGER            IE, IMAT, IOUNIT, M, N, NTESTS
      REAL               THRESH
*     ..
*     .. Array Arguments ..
      INTEGER            ISEED( 4 )
      REAL               RESULT( * )
*     ..
*
*  =====================================================================
*
*     .. Local Scalars ..
      INTEGER            K
*     ..
*     .. External Subroutines ..
      EXTERNAL           SLAHD2
*     ..
*     .. Executable Statements ..
*
      IF( M.EQ.N ) THEN
*
*     Output for square matrices:
*
         DO 10 K = 1, NTESTS
            IF( RESULT( K ).GE.THRESH ) THEN
*
*           If this is the first test to fail, call SLAHD2
*           to print a header to the data file.
*
               IF( IE.EQ.0 )
     $            CALL SLAHD2( IOUNIT, TYPE )
               IE = IE + 1
               IF( RESULT( K ).LT.10000.0 ) THEN
                  WRITE( IOUNIT, FMT = 9999 )N, IMAT, ISEED, K,
     $               RESULT( K )
 9999             FORMAT( ' Matrix order=', I5, ', type=', I2,
     $                  ', seed=', 4( I4, ',' ), ' result ', I3, ' is',
     $                  0P, F8.2 )
               ELSE
                  WRITE( IOUNIT, FMT = 9998 )N, IMAT, ISEED, K,
     $               RESULT( K )
 9998             FORMAT( ' Matrix order=', I5, ', type=', I2,
     $                  ', seed=', 4( I4, ',' ), ' result ', I3, ' is',
     $                  1P, E10.3 )
               END IF
            END IF
   10    CONTINUE
      ELSE
*
*     Output for rectangular matrices
*
         DO 20 K = 1, NTESTS
            IF( RESULT( K ).GE.THRESH ) THEN
*
*              If this is the first test to fail, call SLAHD2
*              to print a header to the data file.
*
               IF( IE.EQ.0 )
     $            CALL SLAHD2( IOUNIT, TYPE )
               IE = IE + 1
               IF( RESULT( K ).LT.10000.0 ) THEN
                  WRITE( IOUNIT, FMT = 9997 )M, N, IMAT, ISEED, K,
     $               RESULT( K )
 9997             FORMAT( 1X, I5, ' x', I5, ' matrix, type=', I2, ', s',
     $                  'eed=', 3( I4, ',' ), I4, ': result ', I3,
     $                  ' is', 0P, F8.2 )
               ELSE
                  WRITE( IOUNIT, FMT = 9996 )M, N, IMAT, ISEED, K,
     $               RESULT( K )
 9996             FORMAT( 1X, I5, ' x', I5, ' matrix, type=', I2, ', s',
     $                  'eed=', 3( I4, ',' ), I4, ': result ', I3,
     $                  ' is', 1P, E10.3 )
               END IF
            END IF
   20    CONTINUE
*
      END IF
      RETURN
*
*     End of SLAFTS
*
      END