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LAPACK 3.3.1
Linear Algebra PACKage
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LAPACK 3.3.1
Linear Algebra PACKage
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00001 SUBROUTINE DCKLSE( NN, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH, 00002 $ NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT, 00003 $ INFO ) 00004 * 00005 * -- LAPACK test routine (version 3.1) -- 00006 * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. 00007 * November 2006 00008 * 00009 * .. Scalar Arguments .. 00010 INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT 00011 DOUBLE PRECISION THRESH 00012 * .. 00013 * .. Array Arguments .. 00014 INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * ) 00015 DOUBLE PRECISION A( * ), AF( * ), B( * ), BF( * ), RWORK( * ), 00016 $ WORK( * ), X( * ) 00017 * .. 00018 * 00019 * Purpose 00020 * ======= 00021 * 00022 * DCKLSE tests DGGLSE - a subroutine for solving linear equality 00023 * constrained least square problem (LSE). 00024 * 00025 * Arguments 00026 * ========= 00027 * 00028 * NN (input) INTEGER 00029 * The number of values of (M,P,N) contained in the vectors 00030 * (MVAL, PVAL, NVAL). 00031 * 00032 * MVAL (input) INTEGER array, dimension (NN) 00033 * The values of the matrix row(column) dimension M. 00034 * 00035 * PVAL (input) INTEGER array, dimension (NN) 00036 * The values of the matrix row(column) dimension P. 00037 * 00038 * NVAL (input) INTEGER array, dimension (NN) 00039 * The values of the matrix column(row) dimension N. 00040 * 00041 * NMATS (input) INTEGER 00042 * The number of matrix types to be tested for each combination 00043 * of matrix dimensions. If NMATS >= NTYPES (the maximum 00044 * number of matrix types), then all the different types are 00045 * generated for testing. If NMATS < NTYPES, another input line 00046 * is read to get the numbers of the matrix types to be used. 00047 * 00048 * ISEED (input/output) INTEGER array, dimension (4) 00049 * On entry, the seed of the random number generator. The array 00050 * elements should be between 0 and 4095, otherwise they will be 00051 * reduced mod 4096, and ISEED(4) must be odd. 00052 * On exit, the next seed in the random number sequence after 00053 * all the test matrices have been generated. 00054 * 00055 * THRESH (input) DOUBLE PRECISION 00056 * The threshold value for the test ratios. A result is 00057 * included in the output file if RESULT >= THRESH. To have 00058 * every test ratio printed, use THRESH = 0. 00059 * 00060 * NMAX (input) INTEGER 00061 * The maximum value permitted for M or N, used in dimensioning 00062 * the work arrays. 00063 * 00064 * A (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) 00065 * 00066 * AF (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) 00067 * 00068 * B (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) 00069 * 00070 * BF (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) 00071 * 00072 * X (workspace) DOUBLE PRECISION array, dimension (5*NMAX) 00073 * 00074 * WORK (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) 00075 * 00076 * RWORK (workspace) DOUBLE PRECISION array, dimension (NMAX) 00077 * 00078 * NIN (input) INTEGER 00079 * The unit number for input. 00080 * 00081 * NOUT (input) INTEGER 00082 * The unit number for output. 00083 * 00084 * INFO (output) INTEGER 00085 * = 0 : successful exit 00086 * > 0 : If DLATMS returns an error code, the absolute value 00087 * of it is returned. 00088 * 00089 * ===================================================================== 00090 * 00091 * .. Parameters .. 00092 INTEGER NTESTS 00093 PARAMETER ( NTESTS = 7 ) 00094 INTEGER NTYPES 00095 PARAMETER ( NTYPES = 8 ) 00096 * .. 00097 * .. Local Scalars .. 00098 LOGICAL FIRSTT 00099 CHARACTER DISTA, DISTB, TYPE 00100 CHARACTER*3 PATH 00101 INTEGER I, IINFO, IK, IMAT, KLA, KLB, KUA, KUB, LDA, 00102 $ LDB, LWORK, M, MODEA, MODEB, N, NFAIL, NRUN, 00103 $ NT, P 00104 DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB 00105 * .. 00106 * .. Local Arrays .. 00107 LOGICAL DOTYPE( NTYPES ) 00108 DOUBLE PRECISION RESULT( NTESTS ) 00109 * .. 00110 * .. External Subroutines .. 00111 EXTERNAL ALAHDG, ALAREQ, ALASUM, DLARHS, DLATB9, DLATMS, 00112 $ DLSETS 00113 * .. 00114 * .. Intrinsic Functions .. 00115 INTRINSIC ABS, MAX 00116 * .. 00117 * .. Executable Statements .. 00118 * 00119 * Initialize constants and the random number seed. 00120 * 00121 PATH( 1: 3 ) = 'LSE' 00122 INFO = 0 00123 NRUN = 0 00124 NFAIL = 0 00125 FIRSTT = .TRUE. 00126 CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT ) 00127 LDA = NMAX 00128 LDB = NMAX 00129 LWORK = NMAX*NMAX 00130 * 00131 * Check for valid input values. 00132 * 00133 DO 10 IK = 1, NN 00134 M = MVAL( IK ) 00135 P = PVAL( IK ) 00136 N = NVAL( IK ) 00137 IF( P.GT.N .OR. N.GT.M+P ) THEN 00138 IF( FIRSTT ) THEN 00139 WRITE( NOUT, FMT = * ) 00140 FIRSTT = .FALSE. 00141 END IF 00142 WRITE( NOUT, FMT = 9997 )M, P, N 00143 END IF 00144 10 CONTINUE 00145 FIRSTT = .TRUE. 00146 * 00147 * Do for each value of M in MVAL. 00148 * 00149 DO 40 IK = 1, NN 00150 M = MVAL( IK ) 00151 P = PVAL( IK ) 00152 N = NVAL( IK ) 00153 IF( P.GT.N .OR. N.GT.M+P ) 00154 $ GO TO 40 00155 * 00156 DO 30 IMAT = 1, NTYPES 00157 * 00158 * Do the tests only if DOTYPE( IMAT ) is true. 00159 * 00160 IF( .NOT.DOTYPE( IMAT ) ) 00161 $ GO TO 30 00162 * 00163 * Set up parameters with DLATB9 and generate test 00164 * matrices A and B with DLATMS. 00165 * 00166 CALL DLATB9( PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB, 00167 $ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB, 00168 $ DISTA, DISTB ) 00169 * 00170 CALL DLATMS( M, N, DISTA, ISEED, TYPE, RWORK, MODEA, CNDNMA, 00171 $ ANORM, KLA, KUA, 'No packing', A, LDA, WORK, 00172 $ IINFO ) 00173 IF( IINFO.NE.0 ) THEN 00174 WRITE( NOUT, FMT = 9999 )IINFO 00175 INFO = ABS( IINFO ) 00176 GO TO 30 00177 END IF 00178 * 00179 CALL DLATMS( P, N, DISTB, ISEED, TYPE, RWORK, MODEB, CNDNMB, 00180 $ BNORM, KLB, KUB, 'No packing', B, LDB, WORK, 00181 $ IINFO ) 00182 IF( IINFO.NE.0 ) THEN 00183 WRITE( NOUT, FMT = 9999 )IINFO 00184 INFO = ABS( IINFO ) 00185 GO TO 30 00186 END IF 00187 * 00188 * Generate the right-hand sides C and D for the LSE. 00189 * 00190 CALL DLARHS( 'DGE', 'New solution', 'Upper', 'N', M, N, 00191 $ MAX( M-1, 0 ), MAX( N-1, 0 ), 1, A, LDA, 00192 $ X( 4*NMAX+1 ), MAX( N, 1 ), X, MAX( M, 1 ), 00193 $ ISEED, IINFO ) 00194 * 00195 CALL DLARHS( 'DGE', 'Computed', 'Upper', 'N', P, N, 00196 $ MAX( P-1, 0 ), MAX( N-1, 0 ), 1, B, LDB, 00197 $ X( 4*NMAX+1 ), MAX( N, 1 ), X( 2*NMAX+1 ), 00198 $ MAX( P, 1 ), ISEED, IINFO ) 00199 * 00200 NT = 2 00201 * 00202 CALL DLSETS( M, P, N, A, AF, LDA, B, BF, LDB, X, 00203 $ X( NMAX+1 ), X( 2*NMAX+1 ), X( 3*NMAX+1 ), 00204 $ X( 4*NMAX+1 ), WORK, LWORK, RWORK, 00205 $ RESULT( 1 ) ) 00206 * 00207 * Print information about the tests that did not 00208 * pass the threshold. 00209 * 00210 DO 20 I = 1, NT 00211 IF( RESULT( I ).GE.THRESH ) THEN 00212 IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN 00213 FIRSTT = .FALSE. 00214 CALL ALAHDG( NOUT, PATH ) 00215 END IF 00216 WRITE( NOUT, FMT = 9998 )M, P, N, IMAT, I, 00217 $ RESULT( I ) 00218 NFAIL = NFAIL + 1 00219 END IF 00220 20 CONTINUE 00221 NRUN = NRUN + NT 00222 * 00223 30 CONTINUE 00224 40 CONTINUE 00225 * 00226 * Print a summary of the results. 00227 * 00228 CALL ALASUM( PATH, NOUT, NFAIL, NRUN, 0 ) 00229 * 00230 9999 FORMAT( ' DLATMS in DCKLSE INFO = ', I5 ) 00231 9998 FORMAT( ' M=', I4, ' P=', I4, ', N=', I4, ', type ', I2, 00232 $ ', test ', I2, ', ratio=', G13.6 ) 00233 9997 FORMAT( ' *** Invalid input for LSE: M = ', I6, ', P = ', I6, 00234 $ ', N = ', I6, ';', / ' must satisfy P <= N <= P+M ', 00235 $ '(this set of values will be skipped)' ) 00236 RETURN 00237 * 00238 * End of DCKLSE 00239 * 00240 END
1.7.3 
