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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 SCKGQR( NM, MVAL, NP, PVAL, NN, NVAL, NMATS, ISEED, 00002 $ THRESH, NMAX, A, AF, AQ, AR, TAUA, B, BF, BZ, 00003 $ BT, BWK, TAUB, WORK, RWORK, NIN, NOUT, 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, NM, NMATS, NMAX, NN, NOUT, NP 00011 REAL THRESH 00012 * .. 00013 * .. Array Arguments .. 00014 INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * ) 00015 REAL A( * ), AF( * ), AQ( * ), AR( * ), B( * ), 00016 $ BF( * ), BT( * ), BWK( * ), BZ( * ), 00017 $ RWORK( * ), TAUA( * ), TAUB( * ), WORK( * ) 00018 * .. 00019 * 00020 * Purpose 00021 * ======= 00022 * 00023 * SCKGQR tests 00024 * SGGQRF: GQR factorization for N-by-M matrix A and N-by-P matrix B, 00025 * SGGRQF: GRQ factorization for M-by-N matrix A and P-by-N matrix B. 00026 * 00027 * Arguments 00028 * ========= 00029 * 00030 * NM (input) INTEGER 00031 * The number of values of M contained in the vector MVAL. 00032 * 00033 * MVAL (input) INTEGER array, dimension (NM) 00034 * The values of the matrix row(column) dimension M. 00035 * 00036 * NP (input) INTEGER 00037 * The number of values of P contained in the vector PVAL. 00038 * 00039 * PVAL (input) INTEGER array, dimension (NP) 00040 * The values of the matrix row(column) dimension P. 00041 * 00042 * NN (input) INTEGER 00043 * The number of values of N contained in the vector NVAL. 00044 * 00045 * NVAL (input) INTEGER array, dimension (NN) 00046 * The values of the matrix column(row) dimension N. 00047 * 00048 * NMATS (input) INTEGER 00049 * The number of matrix types to be tested for each combination 00050 * of matrix dimensions. If NMATS >= NTYPES (the maximum 00051 * number of matrix types), then all the different types are 00052 * generated for testing. If NMATS < NTYPES, another input line 00053 * is read to get the numbers of the matrix types to be used. 00054 * 00055 * ISEED (input/output) INTEGER array, dimension (4) 00056 * On entry, the seed of the random number generator. The array 00057 * elements should be between 0 and 4095, otherwise they will be 00058 * reduced mod 4096, and ISEED(4) must be odd. 00059 * On exit, the next seed in the random number sequence after 00060 * all the test matrices have been generated. 00061 * 00062 * THRESH (input) REAL 00063 * The threshold value for the test ratios. A result is 00064 * included in the output file if RESULT >= THRESH. To have 00065 * every test ratio printed, use THRESH = 0. 00066 * 00067 * NMAX (input) INTEGER 00068 * The maximum value permitted for M or N, used in dimensioning 00069 * the work arrays. 00070 * 00071 * A (workspace) REAL array, dimension (NMAX*NMAX) 00072 * 00073 * AF (workspace) REAL array, dimension (NMAX*NMAX) 00074 * 00075 * AQ (workspace) REAL array, dimension (NMAX*NMAX) 00076 * 00077 * AR (workspace) REAL array, dimension (NMAX*NMAX) 00078 * 00079 * TAUA (workspace) REAL array, dimension (NMAX) 00080 * 00081 * B (workspace) REAL array, dimension (NMAX*NMAX) 00082 * 00083 * BF (workspace) REAL array, dimension (NMAX*NMAX) 00084 * 00085 * BZ (workspace) REAL array, dimension (NMAX*NMAX) 00086 * 00087 * BT (workspace) REAL array, dimension (NMAX*NMAX) 00088 * 00089 * BWK (workspace) REAL array, dimension (NMAX*NMAX) 00090 * 00091 * TAUB (workspace) REAL array, dimension (NMAX) 00092 * 00093 * WORK (workspace) REAL array, dimension (NMAX*NMAX) 00094 * 00095 * RWORK (workspace) REAL array, dimension (NMAX) 00096 * 00097 * NIN (input) INTEGER 00098 * The unit number for input. 00099 * 00100 * NOUT (input) INTEGER 00101 * The unit number for output. 00102 * 00103 * INFO (output) INTEGER 00104 * = 0 : successful exit 00105 * > 0 : If SLATMS returns an error code, the absolute value 00106 * of it is returned. 00107 * 00108 * ===================================================================== 00109 * 00110 * .. Parameters .. 00111 INTEGER NTESTS 00112 PARAMETER ( NTESTS = 7 ) 00113 INTEGER NTYPES 00114 PARAMETER ( NTYPES = 8 ) 00115 * .. 00116 * .. Local Scalars .. 00117 LOGICAL FIRSTT 00118 CHARACTER DISTA, DISTB, TYPE 00119 CHARACTER*3 PATH 00120 INTEGER I, IINFO, IM, IMAT, IN, IP, KLA, KLB, KUA, KUB, 00121 $ LDA, LDB, LWORK, M, MODEA, MODEB, N, NFAIL, 00122 $ NRUN, NT, P 00123 REAL ANORM, BNORM, CNDNMA, CNDNMB 00124 * .. 00125 * .. Local Arrays .. 00126 LOGICAL DOTYPE( NTYPES ) 00127 REAL RESULT( NTESTS ) 00128 * .. 00129 * .. External Subroutines .. 00130 EXTERNAL ALAHDG, ALAREQ, ALASUM, SGQRTS, SGRQTS, SLATB9, 00131 $ SLATMS 00132 * .. 00133 * .. Intrinsic Functions .. 00134 INTRINSIC ABS 00135 * .. 00136 * .. Executable Statements .. 00137 * 00138 * Initialize constants. 00139 * 00140 PATH( 1: 3 ) = 'GQR' 00141 INFO = 0 00142 NRUN = 0 00143 NFAIL = 0 00144 FIRSTT = .TRUE. 00145 CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT ) 00146 LDA = NMAX 00147 LDB = NMAX 00148 LWORK = NMAX*NMAX 00149 * 00150 * Do for each value of M in MVAL. 00151 * 00152 DO 60 IM = 1, NM 00153 M = MVAL( IM ) 00154 * 00155 * Do for each value of P in PVAL. 00156 * 00157 DO 50 IP = 1, NP 00158 P = PVAL( IP ) 00159 * 00160 * Do for each value of N in NVAL. 00161 * 00162 DO 40 IN = 1, NN 00163 N = NVAL( IN ) 00164 * 00165 DO 30 IMAT = 1, NTYPES 00166 * 00167 * Do the tests only if DOTYPE( IMAT ) is true. 00168 * 00169 IF( .NOT.DOTYPE( IMAT ) ) 00170 $ GO TO 30 00171 * 00172 * Test SGGRQF 00173 * 00174 * Set up parameters with SLATB9 and generate test 00175 * matrices A and B with SLATMS. 00176 * 00177 CALL SLATB9( 'GRQ', IMAT, M, P, N, TYPE, KLA, KUA, 00178 $ KLB, KUB, ANORM, BNORM, MODEA, MODEB, 00179 $ CNDNMA, CNDNMB, DISTA, DISTB ) 00180 * 00181 * Generate M by N matrix A 00182 * 00183 CALL SLATMS( M, N, DISTA, ISEED, TYPE, RWORK, MODEA, 00184 $ CNDNMA, ANORM, KLA, KUA, 'No packing', A, 00185 $ LDA, WORK, IINFO ) 00186 IF( IINFO.NE.0 ) THEN 00187 WRITE( NOUT, FMT = 9999 )IINFO 00188 INFO = ABS( IINFO ) 00189 GO TO 30 00190 END IF 00191 * 00192 * Generate P by N matrix B 00193 * 00194 CALL SLATMS( P, N, DISTB, ISEED, TYPE, RWORK, MODEB, 00195 $ CNDNMB, BNORM, KLB, KUB, 'No packing', B, 00196 $ LDB, WORK, IINFO ) 00197 IF( IINFO.NE.0 ) THEN 00198 WRITE( NOUT, FMT = 9999 )IINFO 00199 INFO = ABS( IINFO ) 00200 GO TO 30 00201 END IF 00202 * 00203 NT = 4 00204 * 00205 CALL SGRQTS( M, P, N, A, AF, AQ, AR, LDA, TAUA, B, BF, 00206 $ BZ, BT, BWK, LDB, TAUB, WORK, LWORK, 00207 $ RWORK, RESULT ) 00208 * 00209 * Print information about the tests that did not 00210 * pass the threshold. 00211 * 00212 DO 10 I = 1, NT 00213 IF( RESULT( I ).GE.THRESH ) THEN 00214 IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN 00215 FIRSTT = .FALSE. 00216 CALL ALAHDG( NOUT, 'GRQ' ) 00217 END IF 00218 WRITE( NOUT, FMT = 9998 )M, P, N, IMAT, I, 00219 $ RESULT( I ) 00220 NFAIL = NFAIL + 1 00221 END IF 00222 10 CONTINUE 00223 NRUN = NRUN + NT 00224 * 00225 * Test SGGQRF 00226 * 00227 * Set up parameters with SLATB9 and generate test 00228 * matrices A and B with SLATMS. 00229 * 00230 CALL SLATB9( 'GQR', IMAT, M, P, N, TYPE, KLA, KUA, 00231 $ KLB, KUB, ANORM, BNORM, MODEA, MODEB, 00232 $ CNDNMA, CNDNMB, DISTA, DISTB ) 00233 * 00234 * Generate N-by-M matrix A 00235 * 00236 CALL SLATMS( N, M, DISTA, ISEED, TYPE, RWORK, MODEA, 00237 $ CNDNMA, ANORM, KLA, KUA, 'No packing', A, 00238 $ LDA, WORK, IINFO ) 00239 IF( IINFO.NE.0 ) THEN 00240 WRITE( NOUT, FMT = 9999 )IINFO 00241 INFO = ABS( IINFO ) 00242 GO TO 30 00243 END IF 00244 * 00245 * Generate N-by-P matrix B 00246 * 00247 CALL SLATMS( N, P, DISTB, ISEED, TYPE, RWORK, MODEA, 00248 $ CNDNMA, BNORM, KLB, KUB, 'No packing', B, 00249 $ LDB, WORK, IINFO ) 00250 IF( IINFO.NE.0 ) THEN 00251 WRITE( NOUT, FMT = 9999 )IINFO 00252 INFO = ABS( IINFO ) 00253 GO TO 30 00254 END IF 00255 * 00256 NT = 4 00257 * 00258 CALL SGQRTS( N, M, P, A, AF, AQ, AR, LDA, TAUA, B, BF, 00259 $ BZ, BT, BWK, LDB, TAUB, WORK, LWORK, 00260 $ RWORK, RESULT ) 00261 * 00262 * Print information about the tests that did not 00263 * pass the threshold. 00264 * 00265 DO 20 I = 1, NT 00266 IF( RESULT( I ).GE.THRESH ) THEN 00267 IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN 00268 FIRSTT = .FALSE. 00269 CALL ALAHDG( NOUT, PATH ) 00270 END IF 00271 WRITE( NOUT, FMT = 9997 )N, M, P, IMAT, I, 00272 $ RESULT( I ) 00273 NFAIL = NFAIL + 1 00274 END IF 00275 20 CONTINUE 00276 NRUN = NRUN + NT 00277 * 00278 30 CONTINUE 00279 40 CONTINUE 00280 50 CONTINUE 00281 60 CONTINUE 00282 * 00283 * Print a summary of the results. 00284 * 00285 CALL ALASUM( PATH, NOUT, NFAIL, NRUN, 0 ) 00286 * 00287 9999 FORMAT( ' SLATMS in SCKGQR: INFO = ', I5 ) 00288 9998 FORMAT( ' M=', I4, ' P=', I4, ', N=', I4, ', type ', I2, 00289 $ ', test ', I2, ', ratio=', G13.6 ) 00290 9997 FORMAT( ' N=', I4, ' M=', I4, ', P=', I4, ', type ', I2, 00291 $ ', test ', I2, ', ratio=', G13.6 ) 00292 RETURN 00293 * 00294 * End of SCKGQR 00295 * 00296 END
1.7.3 
