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SUBROUTINE SCHKQP( DOTYPE, NM, MVAL, NN, NVAL, THRESH, TSTERR, A,
$ COPYA, S, COPYS, TAU, WORK, IWORK, NOUT )
*
* -- LAPACK test routine (version 3.0) --
* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
* Courant Institute, Argonne National Lab, and Rice University
* September 30, 1994
*
* .. Scalar Arguments ..
LOGICAL TSTERR
INTEGER NM, NN, NOUT
REAL THRESH
* ..
* .. Array Arguments ..
LOGICAL DOTYPE( * )
INTEGER IWORK( * ), MVAL( * ), NVAL( * )
REAL A( * ), COPYA( * ), COPYS( * ), S( * ),
$ TAU( * ), WORK( * )
* ..
*
* Purpose
* =======
*
* SCHKQP tests SGEQPF.
*
* 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.
*
* THRESH (input) REAL
* 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.
*
* A (workspace) REAL array, dimension (MMAX*NMAX)
* where MMAX is the maximum value of M in MVAL and NMAX is the
* maximum value of N in NVAL.
*
* COPYA (workspace) REAL array, dimension (MMAX*NMAX)
*
* S (workspace) REAL array, dimension
* (min(MMAX,NMAX))
*
* COPYS (workspace) REAL array, dimension
* (min(MMAX,NMAX))
*
* TAU (workspace) REAL array, dimension (MMAX)
*
* WORK (workspace) REAL array, dimension
* (MMAX*NMAX + 4*NMAX + MMAX)
*
* IWORK (workspace) INTEGER array, dimension (NMAX)
*
* NOUT (input) INTEGER
* The unit number for output.
*
* =====================================================================
*
* .. Parameters ..
INTEGER NTYPES
PARAMETER ( NTYPES = 6 )
INTEGER NTESTS
PARAMETER ( NTESTS = 3 )
REAL ONE, ZERO
PARAMETER ( ONE = 1.0E0, ZERO = 0.0E0 )
* ..
* .. Local Scalars ..
CHARACTER*3 PATH
INTEGER I, IHIGH, ILOW, IM, IMODE, IN, INFO, ISTEP, K,
$ LDA, LWORK, M, MNMIN, MODE, N, NERRS, NFAIL,
$ NRUN
REAL EPS
* ..
* .. Local Arrays ..
INTEGER ISEED( 4 ), ISEEDY( 4 )
REAL RESULT( NTESTS )
* ..
* .. External Functions ..
REAL SLAMCH, SQPT01, SQRT11, SQRT12
EXTERNAL SLAMCH, SQPT01, SQRT11, SQRT12
* ..
* .. External Subroutines ..
EXTERNAL ALAHD, ALASUM, SERRQP, SGEQPF, SLACPY, SLAORD,
$ SLASET, SLATMS
* ..
* .. Intrinsic Functions ..
INTRINSIC MAX, MIN
* ..
* .. Scalars in Common ..
LOGICAL LERR, OK
CHARACTER*6 SRNAMT
INTEGER INFOT, IOUNIT
* ..
* .. Common blocks ..
COMMON / INFOC / INFOT, IOUNIT, 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 ) = 'Single precision'
PATH( 2: 3 ) = 'QP'
NRUN = 0
NFAIL = 0
NERRS = 0
DO 10 I = 1, 4
ISEED( I ) = ISEEDY( I )
10 CONTINUE
EPS = SLAMCH( 'Epsilon' )
*
* Test the error exits
*
IF( TSTERR )
$ CALL SERRQP( PATH, NOUT )
INFOT = 0
*
DO 80 IM = 1, NM
*
* Do for each value of M in MVAL.
*
M = MVAL( IM )
LDA = MAX( 1, M )
*
DO 70 IN = 1, NN
*
* Do for each value of N in NVAL.
*
N = NVAL( IN )
MNMIN = MIN( M, N )
LWORK = MAX( 1, M*MAX( M, N ) + 4*MNMIN + MAX( M, N ) )
*
DO 60 IMODE = 1, NTYPES
IF( .NOT.DOTYPE( IMODE ) )
$ GO TO 60
*
* Do for each type of matrix
* 1: zero matrix
* 2: one small singular value
* 3: geometric distribution of singular values
* 4: first n/2 columns fixed
* 5: last n/2 columns fixed
* 6: every second column fixed
*
MODE = IMODE
IF( IMODE.GT.3 )
$ MODE = 1
*
* Generate test matrix of size m by n using
* singular value distribution indicated by `mode'.
*
DO 20 I = 1, N
IWORK( I ) = 0
20 CONTINUE
IF( IMODE.EQ.1 ) THEN
CALL SLASET( 'Full', M, N, ZERO, ZERO, COPYA, LDA )
DO 30 I = 1, MNMIN
COPYS( I ) = ZERO
30 CONTINUE
ELSE
CALL SLATMS( M, N, 'Uniform', ISEED, 'Nonsymm', COPYS,
$ MODE, ONE / EPS, ONE, M, N, 'No packing',
$ COPYA, LDA, WORK, INFO )
IF( IMODE.GE.4 ) THEN
IF( IMODE.EQ.4 ) THEN
ILOW = 1
ISTEP = 1
IHIGH = MAX( 1, N / 2 )
ELSE IF( IMODE.EQ.5 ) THEN
ILOW = MAX( 1, N / 2 )
ISTEP = 1
IHIGH = N
ELSE IF( IMODE.EQ.6 ) THEN
ILOW = 1
ISTEP = 2
IHIGH = N
END IF
DO 40 I = ILOW, IHIGH, ISTEP
IWORK( I ) = 1
40 CONTINUE
END IF
CALL SLAORD( 'Decreasing', MNMIN, COPYS, 1 )
END IF
*
* Save A and its singular values
*
CALL SLACPY( 'All', M, N, COPYA, LDA, A, LDA )
*
* Compute the QR factorization with pivoting of A
*
SRNAMT = 'SGEQPF'
CALL SGEQPF( M, N, A, LDA, IWORK, TAU, WORK, INFO )
*
* Compute norm(svd(a) - svd(r))
*
RESULT( 1 ) = SQRT12( M, N, A, LDA, COPYS, WORK, LWORK )
*
* Compute norm( A*P - Q*R )
*
RESULT( 2 ) = SQPT01( M, N, MNMIN, COPYA, A, LDA, TAU,
$ IWORK, WORK, LWORK )
*
* Compute Q'*Q
*
RESULT( 3 ) = SQRT11( M, MNMIN, A, LDA, TAU, WORK,
$ LWORK )
*
* Print information about the tests that did not pass
* the threshold.
*
DO 50 K = 1, 3
IF( RESULT( K ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALAHD( NOUT, PATH )
WRITE( NOUT, FMT = 9999 )M, N, IMODE, K,
$ RESULT( K )
NFAIL = NFAIL + 1
END IF
50 CONTINUE
NRUN = NRUN + 3
60 CONTINUE
70 CONTINUE
80 CONTINUE
*
* Print a summary of the results.
*
CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
*
9999 FORMAT( ' M =', I5, ', N =', I5, ', type ', I2, ', test ', I2,
$ ', ratio =', G12.5 )
*
* End of SCHKQP
*
END
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