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SUBROUTINE ZCHKQR( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
$ NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AR, AC, $ B, X, XACT, TAU, WORK, RWORK, IWORK, NOUT ) * * -- LAPACK test routine (version 3.1) -- * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. * June 2010 * * .. Scalar Arguments .. LOGICAL TSTERR INTEGER NM, NMAX, NN, NNB, NOUT, NRHS DOUBLE PRECISION THRESH * .. * .. Array Arguments .. LOGICAL DOTYPE( * ) INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ), $ NXVAL( * ) DOUBLE PRECISION RWORK( * ) COMPLEX*16 A( * ), AC( * ), AF( * ), AQ( * ), AR( * ), $ B( * ), TAU( * ), WORK( * ), X( * ), XACT( * ) * .. * * Purpose * ======= * * ZCHKQR tests ZGEQRF, ZUNGQR and CUNMQR. * * Arguments * ========= * * DOTYPE (input) LOGICAL array, dimension (NTYPES) * The matrix types to be used for testing. Matrices of type j * (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = * .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. * * NM (input) INTEGER * The number of values of M contained in the vector MVAL. * * MVAL (input) INTEGER array, dimension (NM) * The values of the matrix row dimension M. * * NN (input) INTEGER * The number of values of N contained in the vector NVAL. * * NVAL (input) INTEGER array, dimension (NN) * The values of the matrix column dimension N. * * NNB (input) INTEGER * The number of values of NB and NX contained in the * vectors NBVAL and NXVAL. The blocking parameters are used * in pairs (NB,NX). * * NBVAL (input) INTEGER array, dimension (NNB) * The values of the blocksize NB. * * NXVAL (input) INTEGER array, dimension (NNB) * The values of the crossover point NX. * * NRHS (input) INTEGER * The number of right hand side vectors to be generated for * each linear system. * * THRESH (input) DOUBLE PRECISION * The threshold value for the test ratios. A result is * included in the output file if RESULT >= THRESH. To have * every test ratio printed, use THRESH = 0. * * TSTERR (input) LOGICAL * Flag that indicates whether error exits are to be tested. * * NMAX (input) INTEGER * The maximum value permitted for M or N, used in dimensioning * the work arrays. * * A (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) * * AF (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) * * AQ (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) * * AR (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) * * AC (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) * * B (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) * * X (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) * * XACT (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) * * TAU (workspace) COMPLEX*16 array, dimension (NMAX) * * WORK (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) * * RWORK (workspace) DOUBLE PRECISION array, dimension (NMAX) * * IWORK (workspace) INTEGER array, dimension (NMAX) * * NOUT (input) INTEGER * The unit number for output. * * ===================================================================== * * .. Parameters .. INTEGER NTESTS PARAMETER ( NTESTS = 9 ) INTEGER NTYPES PARAMETER ( NTYPES = 8 ) DOUBLE PRECISION ZERO PARAMETER ( ZERO = 0.0D0 ) * .. * .. Local Scalars .. CHARACTER DIST, TYPE CHARACTER*3 PATH INTEGER I, IK, IM, IMAT, IN, INB, INFO, K, KL, KU, LDA, $ LWORK, M, MINMN, MODE, N, NB, NERRS, NFAIL, NK, $ NRUN, NT, NX DOUBLE PRECISION ANORM, CNDNUM * .. * .. Local Arrays .. INTEGER ISEED( 4 ), ISEEDY( 4 ), KVAL( 4 ) DOUBLE PRECISION RESULT( NTESTS ) * .. * .. External Functions .. LOGICAL ZGENND EXTERNAL ZGENND * .. * .. External Subroutines .. EXTERNAL ALAERH, ALAHD, ALASUM, XLAENV, ZERRQR, ZGEQRS, $ ZGET02, ZLACPY, ZLARHS, ZLATB4, ZLATMS, ZQRT01, $ ZQRT01P, ZQRT02, ZQRT03 * .. * .. Intrinsic Functions .. INTRINSIC MAX, MIN * .. * .. Scalars in Common .. LOGICAL LERR, OK CHARACTER*32 SRNAMT INTEGER INFOT, NUNIT * .. * .. Common blocks .. COMMON / INFOC / INFOT, NUNIT, OK, LERR COMMON / SRNAMC / SRNAMT * .. * .. Data statements .. DATA ISEEDY / 1988, 1989, 1990, 1991 / * .. * .. Executable Statements .. * * Initialize constants and the random number seed. * PATH( 1: 1 ) = 'Zomplex precision' PATH( 2: 3 ) = 'QR' NRUN = 0 NFAIL = 0 NERRS = 0 DO 10 I = 1, 4 ISEED( I ) = ISEEDY( I ) 10 CONTINUE * * Test the error exits * IF( TSTERR ) $ CALL ZERRQR( PATH, NOUT ) INFOT = 0 CALL XLAENV( 2, 2 ) * LDA = NMAX LWORK = NMAX*MAX( NMAX, NRHS ) * * Do for each value of M in MVAL. * DO 70 IM = 1, NM M = MVAL( IM ) * * Do for each value of N in NVAL. * DO 60 IN = 1, NN N = NVAL( IN ) MINMN = MIN( M, N ) DO 50 IMAT = 1, NTYPES * * Do the tests only if DOTYPE( IMAT ) is true. * IF( .NOT.DOTYPE( IMAT ) ) $ GO TO 50 * * Set up parameters with ZLATB4 and generate a test matrix * with ZLATMS. * CALL ZLATB4( PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, $ CNDNUM, DIST ) * SRNAMT = 'ZLATMS' CALL ZLATMS( M, N, DIST, ISEED, TYPE, RWORK, MODE, $ CNDNUM, ANORM, KL, KU, 'No packing', A, LDA, $ WORK, INFO ) * * Check error code from ZLATMS. * IF( INFO.NE.0 ) THEN CALL ALAERH( PATH, 'ZLATMS', INFO, 0, ' ', M, N, -1, $ -1, -1, IMAT, NFAIL, NERRS, NOUT ) GO TO 50 END IF * * Set some values for K: the first value must be MINMN, * corresponding to the call of ZQRT01; other values are * used in the calls of ZQRT02, and must not exceed MINMN. * KVAL( 1 ) = MINMN KVAL( 2 ) = 0 KVAL( 3 ) = 1 KVAL( 4 ) = MINMN / 2 IF( MINMN.EQ.0 ) THEN NK = 1 ELSE IF( MINMN.EQ.1 ) THEN NK = 2 ELSE IF( MINMN.LE.3 ) THEN NK = 3 ELSE NK = 4 END IF * * Do for each value of K in KVAL * DO 40 IK = 1, NK K = KVAL( IK ) * * Do for each pair of values (NB,NX) in NBVAL and NXVAL. * DO 30 INB = 1, NNB NB = NBVAL( INB ) CALL XLAENV( 1, NB ) NX = NXVAL( INB ) CALL XLAENV( 3, NX ) DO I = 1, NTESTS RESULT( I ) = ZERO END DO NT = 2 IF( IK.EQ.1 ) THEN * * Test ZGEQRF * CALL ZQRT01( M, N, A, AF, AQ, AR, LDA, TAU, $ WORK, LWORK, RWORK, RESULT( 1 ) ) * * Test ZGEQRFP * CALL ZQRT01P( M, N, A, AF, AQ, AR, LDA, TAU, $ WORK, LWORK, RWORK, RESULT( 8 ) ) IF( .NOT. ZGENND( M, N, AF, LDA ) ) $ RESULT( 9 ) = 2*THRESH NT = NT + 1 ELSE IF( M.GE.N ) THEN * * Test ZUNGQR, using factorization * returned by ZQRT01 * CALL ZQRT02( M, N, K, A, AF, AQ, AR, LDA, TAU, $ WORK, LWORK, RWORK, RESULT( 1 ) ) END IF IF( M.GE.K ) THEN * * Test ZUNMQR, using factorization returned * by ZQRT01 * CALL ZQRT03( M, N, K, AF, AC, AR, AQ, LDA, TAU, $ WORK, LWORK, RWORK, RESULT( 3 ) ) NT = NT + 4 * * If M>=N and K=N, call ZGEQRS to solve a system * with NRHS right hand sides and compute the * residual. * IF( K.EQ.N .AND. INB.EQ.1 ) THEN * * Generate a solution and set the right * hand side. * SRNAMT = 'ZLARHS' CALL ZLARHS( PATH, 'New', 'Full', $ 'No transpose', M, N, 0, 0, $ NRHS, A, LDA, XACT, LDA, B, LDA, $ ISEED, INFO ) * CALL ZLACPY( 'Full', M, NRHS, B, LDA, X, $ LDA ) SRNAMT = 'ZGEQRS' CALL ZGEQRS( M, N, NRHS, AF, LDA, TAU, X, $ LDA, WORK, LWORK, INFO ) * * Check error code from ZGEQRS. * IF( INFO.NE.0 ) $ CALL ALAERH( PATH, 'ZGEQRS', INFO, 0, ' ', $ M, N, NRHS, -1, NB, IMAT, $ NFAIL, NERRS, NOUT ) * CALL ZGET02( 'No transpose', M, N, NRHS, A, $ LDA, X, LDA, B, LDA, RWORK, $ RESULT( 7 ) ) NT = NT + 1 END IF END IF * * Print information about the tests that did not * pass the threshold. * DO 20 I = 1, NTESTS IF( RESULT( I ).GE.THRESH ) THEN IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) $ CALL ALAHD( NOUT, PATH ) WRITE( NOUT, FMT = 9999 )M, N, K, NB, NX, $ IMAT, I, RESULT( I ) NFAIL = NFAIL + 1 END IF 20 CONTINUE NRUN = NRUN + NT 30 CONTINUE 40 CONTINUE 50 CONTINUE 60 CONTINUE 70 CONTINUE * * Print a summary of the results. * CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS ) * 9999 FORMAT( ' M=', I5, ', N=', I5, ', K=', I5, ', NB=', I4, ', NX=', $ I5, ', type ', I2, ', test(', I2, ')=', G12.5 ) RETURN * * End of ZCHKQR * END |