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SUBROUTINE SCKGLM( NN, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
$ NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT, $ INFO ) * * -- LAPACK test routine (version 3.1) -- * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. * November 2006 * * .. Scalar Arguments .. INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT REAL THRESH * .. * .. Array Arguments .. INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * ) REAL A( * ), AF( * ), B( * ), BF( * ), RWORK( * ), $ WORK( * ), X( * ) * .. * * Purpose * ======= * * SCKGLM tests SGGGLM - subroutine for solving generalized linear * model problem. * * Arguments * ========= * * NN (input) INTEGER * The number of values of N, M and P contained in the vectors * NVAL, MVAL and PVAL. * * MVAL (input) INTEGER array, dimension (NN) * The values of the matrix column dimension M. * * PVAL (input) INTEGER array, dimension (NN) * The values of the matrix column dimension P. * * NVAL (input) INTEGER array, dimension (NN) * The values of the matrix row dimension N. * * NMATS (input) INTEGER * The number of matrix types to be tested for each combination * of matrix dimensions. If NMATS >= NTYPES (the maximum * number of matrix types), then all the different types are * generated for testing. If NMATS < NTYPES, another input line * is read to get the numbers of the matrix types to be used. * * ISEED (input/output) INTEGER array, dimension (4) * On entry, the seed of the random number generator. The array * elements should be between 0 and 4095, otherwise they will be * reduced mod 4096, and ISEED(4) must be odd. * On exit, the next seed in the random number sequence after * all the test matrices have been generated. * * THRESH (input) REAL * The threshold value for the test ratios. A result is * included in the output file if RESID >= THRESH. To have * every test ratio printed, use THRESH = 0. * * NMAX (input) INTEGER * The maximum value permitted for M or N, used in dimensioning * the work arrays. * * A (workspace) REAL array, dimension (NMAX*NMAX) * * AF (workspace) REAL array, dimension (NMAX*NMAX) * * B (workspace) REAL array, dimension (NMAX*NMAX) * * BF (workspace) REAL array, dimension (NMAX*NMAX) * * X (workspace) REAL array, dimension (4*NMAX) * * RWORK (workspace) REAL array, dimension (NMAX) * * WORK (workspace) REAL array, dimension (NMAX*NMAX) * * NIN (input) INTEGER * The unit number for input. * * NOUT (input) INTEGER * The unit number for output. * * INFO (output) INTEGER * = 0 : successful exit * > 0 : If SLATMS returns an error code, the absolute value * of it is returned. * * ===================================================================== * * .. Parameters .. INTEGER NTYPES PARAMETER ( NTYPES = 8 ) * .. * .. Local Scalars .. LOGICAL FIRSTT CHARACTER DISTA, DISTB, TYPE CHARACTER*3 PATH INTEGER I, IINFO, IK, IMAT, KLA, KLB, KUA, KUB, LDA, $ LDB, LWORK, M, MODEA, MODEB, N, NFAIL, NRUN, P REAL ANORM, BNORM, CNDNMA, CNDNMB, RESID * .. * .. Local Arrays .. LOGICAL DOTYPE( NTYPES ) * .. * .. External Functions .. REAL SLARND EXTERNAL SLARND * .. * .. External Subroutines .. EXTERNAL ALAHDG, ALAREQ, ALASUM, SGLMTS, SLATB9, SLATMS * .. * .. Intrinsic Functions .. INTRINSIC ABS * .. * .. Executable Statements .. * * Initialize constants. * PATH( 1: 3 ) = 'GLM' INFO = 0 NRUN = 0 NFAIL = 0 FIRSTT = .TRUE. CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT ) LDA = NMAX LDB = NMAX LWORK = NMAX*NMAX * * Check for valid input values. * DO 10 IK = 1, NN M = MVAL( IK ) P = PVAL( IK ) N = NVAL( IK ) IF( M.GT.N .OR. N.GT.M+P ) THEN IF( FIRSTT ) THEN WRITE( NOUT, FMT = * ) FIRSTT = .FALSE. END IF WRITE( NOUT, FMT = 9997 )M, P, N END IF 10 CONTINUE FIRSTT = .TRUE. * * Do for each value of M in MVAL. * DO 40 IK = 1, NN M = MVAL( IK ) P = PVAL( IK ) N = NVAL( IK ) IF( M.GT.N .OR. N.GT.M+P ) $ GO TO 40 * DO 30 IMAT = 1, NTYPES * * Do the tests only if DOTYPE( IMAT ) is true. * IF( .NOT.DOTYPE( IMAT ) ) $ GO TO 30 * * Set up parameters with SLATB9 and generate test * matrices A and B with SLATMS. * CALL SLATB9( PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB, $ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB, $ DISTA, DISTB ) * CALL SLATMS( N, M, DISTA, ISEED, TYPE, RWORK, MODEA, CNDNMA, $ ANORM, KLA, KUA, 'No packing', A, LDA, WORK, $ IINFO ) IF( IINFO.NE.0 ) THEN WRITE( NOUT, FMT = 9999 )IINFO INFO = ABS( IINFO ) GO TO 30 END IF * CALL SLATMS( N, P, DISTB, ISEED, TYPE, RWORK, MODEB, CNDNMB, $ BNORM, KLB, KUB, 'No packing', B, LDB, WORK, $ IINFO ) IF( IINFO.NE.0 ) THEN WRITE( NOUT, FMT = 9999 )IINFO INFO = ABS( IINFO ) GO TO 30 END IF * * Generate random left hand side vector of GLM * DO 20 I = 1, N X( I ) = SLARND( 2, ISEED ) 20 CONTINUE * CALL SGLMTS( N, M, P, A, AF, LDA, B, BF, LDB, X, $ X( NMAX+1 ), X( 2*NMAX+1 ), X( 3*NMAX+1 ), $ WORK, LWORK, RWORK, RESID ) * * Print information about the tests that did not * pass the threshold. * IF( RESID.GE.THRESH ) THEN IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN FIRSTT = .FALSE. CALL ALAHDG( NOUT, PATH ) END IF WRITE( NOUT, FMT = 9998 )N, M, P, IMAT, 1, RESID NFAIL = NFAIL + 1 END IF NRUN = NRUN + 1 * 30 CONTINUE 40 CONTINUE * * Print a summary of the results. * CALL ALASUM( PATH, NOUT, NFAIL, NRUN, 0 ) * 9999 FORMAT( ' SLATMS in SCKGLM INFO = ', I5 ) 9998 FORMAT( ' N=', I4, ' M=', I4, ', P=', I4, ', type ', I2, $ ', test ', I2, ', ratio=', G13.6 ) 9997 FORMAT( ' *** Invalid input for GLM: M = ', I6, ', P = ', I6, $ ', N = ', I6, ';', / ' must satisfy M <= N <= M+P ', $ '(this set of values will be skipped)' ) RETURN * * End of SCKGLM * END |