zchksp.f

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F
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      SUBROUTINE ZCHKSP( DOTYPE, NN, NVAL, NNS, NSVAL, THRESH, TSTERR,
     $                   NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK,
     $                   IWORK, NOUT )
*
*  -- LAPACK test routine (version 3.1) --
*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
*     November 2006
*
*     .. Scalar Arguments ..
      LOGICAL            TSTERR
      INTEGER            NMAX, NN, NNS, NOUT
      DOUBLE PRECISION   THRESH
*     ..
*     .. Array Arguments ..
      LOGICAL            DOTYPE( * )
      INTEGER            IWORK( * ), NSVAL( * ), NVAL( * )
      DOUBLE PRECISION   RWORK( * )
      COMPLEX*16         A( * ), AFAC( * ), AINV( * ), B( * ),
     $                   WORK( * ), X( * ), XACT( * )
*     ..
*
*  Purpose
*  =======
*
*  ZCHKSP tests ZSPTRF, -TRI, -TRS, -RFS, and -CON
*
*  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.
*
*  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 dimension N.
*
*  NNS     (input) INTEGER
*          The number of values of NRHS contained in the vector NSVAL.
*
*  NSVAL   (input) INTEGER array, dimension (NNS)
*          The values of the number of right hand sides NRHS.
*
*  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 N, used in dimensioning the
*          work arrays.
*
*  A       (workspace) COMPLEX*16 array, dimension
*                      (NMAX*(NMAX+1)/2)
*
*  AFAC    (workspace) COMPLEX*16 array, dimension
*                      (NMAX*(NMAX+1)/2)
*
*  AINV    (workspace) COMPLEX*16 array, dimension
*                      (NMAX*(NMAX+1)/2)
*
*  B       (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX)
*          where NSMAX is the largest entry in NSVAL.
*
*  X       (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX)
*
*  XACT    (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX)
*
*  WORK    (workspace) COMPLEX*16 array, dimension
*                      (NMAX*max(2,NSMAX))
*
*  RWORK   (workspace) DOUBLE PRECISION array,
*                                 dimension (NMAX+2*NSMAX)
*
*  IWORK   (workspace) INTEGER array, dimension (NMAX)
*
*  NOUT    (input) INTEGER
*          The unit number for output.
*
*  =====================================================================
*
*     .. Parameters ..
      DOUBLE PRECISION   ZERO
      PARAMETER          ( ZERO = 0.0D+0 )
      INTEGER            NTYPES
      PARAMETER          ( NTYPES = 11 )
      INTEGER            NTESTS
      PARAMETER          ( NTESTS = 8 )
*     ..
*     .. Local Scalars ..
      LOGICAL            TRFCON, ZEROT
      CHARACTER          DIST, PACKIT, TYPE, UPLO, XTYPE
      CHARACTER*3        PATH
      INTEGER            I, I1, I2, IMAT, IN, INFO, IOFF, IRHS, IUPLO,
     $                   IZERO, J, K, KL, KU, LDA, MODE, N, NERRS,
     $                   NFAIL, NIMAT, NPP, NRHS, NRUN, NT
      DOUBLE PRECISION   ANORM, CNDNUM, RCOND, RCONDC
*     ..
*     .. Local Arrays ..
      CHARACTER          UPLOS( 2 )
      INTEGER            ISEED( 4 ), ISEEDY( 4 )
      DOUBLE PRECISION   RESULT( NTESTS )
*     ..
*     .. External Functions ..
      LOGICAL            LSAME
      DOUBLE PRECISION   DGET06, ZLANSP
      EXTERNAL           LSAME, DGET06, ZLANSP
*     ..
*     .. External Subroutines ..
      EXTERNAL           ALAERH, ALAHD, ALASUM, ZCOPY, ZERRSY, ZGET04,
     $                   ZLACPY, ZLARHS, ZLATB4, ZLATMS, ZLATSP, ZPPT05,
     $                   ZSPCON, ZSPRFS, ZSPT01, ZSPT02, ZSPT03, ZSPTRF,
     $                   ZSPTRI, ZSPTRS
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          MAX, MIN
*     ..
*     .. Scalars in Common ..
      LOGICAL            LERR, OK
      CHARACTER*6        SRNAMT
      INTEGER            INFOT, NUNIT
*     ..
*     .. Common blocks ..
      COMMON             / INFOC / INFOT, NUNIT, OK, LERR
      COMMON             / SRNAMC / SRNAMT
*     ..
*     .. Data statements ..
      DATA               ISEEDY / 1988, 1989, 1990, 1991 /
      DATA               UPLOS / 'U', 'L' /
*     ..
*     .. Executable Statements ..
*
*     Initialize constants and the random number seed.
*
      PATH( 1: 1 ) = 'Zomplex precision'
      PATH( 2: 3 ) = 'SP'
      NRUN = 0
      NFAIL = 0
      NERRS = 0
      DO 10 I = 1, 4
         ISEED( I ) = ISEEDY( I )
   10 CONTINUE
*
*     Test the error exits
*
      IF( TSTERR )
     $   CALL ZERRSY( PATH, NOUT )
      INFOT = 0
*
*     Do for each value of N in NVAL
*
      DO 170 IN = 1, NN
         N = NVAL( IN )
         LDA = MAX( N, 1 )
         XTYPE = 'N'
         NIMAT = NTYPES
         IF( N.LE.0 )
     $      NIMAT = 1
*
         DO 160 IMAT = 1, NIMAT
*
*           Do the tests only if DOTYPE( IMAT ) is true.
*
            IF( .NOT.DOTYPE( IMAT ) )
     $         GO TO 160
*
*           Skip types 3, 4, 5, or 6 if the matrix size is too small.
*
            ZEROT = IMAT.GE.3 .AND. IMAT.LE.6
            IF( ZEROT .AND. N.LT.IMAT-2 )
     $         GO TO 160
*
*           Do first for UPLO = 'U', then for UPLO = 'L'
*
            DO 150 IUPLO = 1, 2
               UPLO = UPLOS( IUPLO )
               IF( LSAME( UPLO, 'U' ) ) THEN
                  PACKIT = 'C'
               ELSE
                  PACKIT = 'R'
               END IF
*
               IF( IMAT.NE.NTYPES ) THEN
*
*                 Set up parameters with ZLATB4 and generate a test
*                 matrix with ZLATMS.
*
                  CALL ZLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM,
     $                         MODE, CNDNUM, DIST )
*
                  SRNAMT = 'ZLATMS'
                  CALL ZLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
     $                         CNDNUM, ANORM, KL, KU, PACKIT, A, LDA,
     $                         WORK, INFO )
*
*                 Check error code from ZLATMS.
*
                  IF( INFO.NE.0 ) THEN
                     CALL ALAERH( PATH, 'ZLATMS', INFO, 0, UPLO, N, N,
     $                            -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
                     GO TO 150
                  END IF
*
*                 For types 3-6, zero one or more rows and columns of
*                 the matrix to test that INFO is returned correctly.
*
                  IF( ZEROT ) THEN
                     IF( IMAT.EQ.3 ) THEN
                        IZERO = 1
                     ELSE IF( IMAT.EQ.4 ) THEN
                        IZERO = N
                     ELSE
                        IZERO = N / 2 + 1
                     END IF
*
                     IF( IMAT.LT.6 ) THEN
*
*                       Set row and column IZERO to zero.
*
                        IF( IUPLO.EQ.1 ) THEN
                           IOFF = ( IZERO-1 )*IZERO / 2
                           DO 20 I = 1, IZERO - 1
                              A( IOFF+I ) = ZERO
   20                      CONTINUE
                           IOFF = IOFF + IZERO
                           DO 30 I = IZERO, N
                              A( IOFF ) = ZERO
                              IOFF = IOFF + I
   30                      CONTINUE
                        ELSE
                           IOFF = IZERO
                           DO 40 I = 1, IZERO - 1
                              A( IOFF ) = ZERO
                              IOFF = IOFF + N - I

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