771 lines
		
	
	
		
			21 KiB
		
	
	
	
		
			Fortran
		
	
	
	
			
		
		
	
	
			771 lines
		
	
	
		
			21 KiB
		
	
	
	
		
			Fortran
		
	
	
	
| *> \brief \b TSTIEE
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| *
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| *  =========== DOCUMENTATION ===========
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| *
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| * Online html documentation available at 
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| *            http://www.netlib.org/lapack/explore-html/ 
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| *
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| *  Authors:
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| *  ========
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| *
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| *> \author Univ. of Tennessee 
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| *> \author Univ. of California Berkeley 
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| *> \author Univ. of Colorado Denver 
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| *> \author NAG Ltd. 
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| *
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| *> \date November 2011
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| *
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| *> \ingroup auxOTHERauxiliary
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| *
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| *  =====================================================================
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|       PROGRAM TSTIEE
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| *
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| *  -- LAPACK test routine (version 3.4.0) --
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| *     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
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| *     November 2006
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| *
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| *     .. External Functions ..
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|       INTEGER            ILAENV
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|       EXTERNAL           ILAENV
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| *     ..
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| *     .. Local Scalars ..
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|       INTEGER            IEEEOK
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| *     ..
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| *     .. Executable Statements ..
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| *
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|       WRITE( 6, FMT = * )
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|      $   'We are about to check whether infinity arithmetic'
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|       WRITE( 6, FMT = * )'can be trusted.  If this test hangs, set'
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|       WRITE( 6, FMT = * )
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|      $   'ILAENV = 0 for ISPEC = 10 in LAPACK/SRC/ilaenv.f'
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| *
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|       IEEEOK = ILAENV( 10, 'ILAENV', 'N', 1, 2, 3, 4 )
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|       WRITE( 6, FMT = * )
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| *
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|       IF( IEEEOK.EQ.0 ) THEN
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|          WRITE( 6, FMT = * )
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|      $      'Infinity arithmetic did not perform per the ieee spec'
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|       ELSE
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|          WRITE( 6, FMT = * )
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|      $      'Infinity arithmetic performed as per the ieee spec.'
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|          WRITE( 6, FMT = * )
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|      $      'However, this is not an exhaustive test and does not'
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|          WRITE( 6, FMT = * )
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|      $      'guarantee that infinity arithmetic meets the',
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|      $      ' ieee spec.'
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|       END IF
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| *
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|       WRITE( 6, FMT = * )
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|       WRITE( 6, FMT = * )
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|      $   'We are about to check whether NaN arithmetic'
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|       WRITE( 6, FMT = * )'can be trusted.  If this test hangs, set'
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|       WRITE( 6, FMT = * )
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|      $   'ILAENV = 0 for ISPEC = 11 in LAPACK/SRC/ilaenv.f'
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|       IEEEOK = ILAENV( 11, 'ILAENV', 'N', 1, 2, 3, 4 )
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| *
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|       WRITE( 6, FMT = * )
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|       IF( IEEEOK.EQ.0 ) THEN
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|          WRITE( 6, FMT = * )
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|      $      'NaN arithmetic did not perform per the ieee spec'
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|       ELSE
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|          WRITE( 6, FMT = * )'NaN arithmetic performed as per the ieee',
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|      $      ' spec.'
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|          WRITE( 6, FMT = * )
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|      $      'However, this is not an exhaustive test and does not'
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|          WRITE( 6, FMT = * )'guarantee that NaN arithmetic meets the',
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|      $      ' ieee spec.'
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|       END IF
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|       WRITE( 6, FMT = * )
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| *
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|       END
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|       INTEGER          FUNCTION ILAENV( ISPEC, NAME, OPTS, N1, N2, N3,
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|      $                 N4 )
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| *
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| *  -- LAPACK auxiliary routine (version 3.4.0) --
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| *     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
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| *     November 2006
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| *
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| *     .. Scalar Arguments ..
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|       CHARACTER*( * )    NAME, OPTS
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|       INTEGER            ISPEC, N1, N2, N3, N4
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| *     ..
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| *
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| *  Purpose
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| *  =======
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| *
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| *  ILAENV is called from the LAPACK routines to choose problem-dependent
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| *  parameters for the local environment.  See ISPEC for a description of
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| *  the parameters.
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| *
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| *  This version provides a set of parameters which should give good,
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| *  but not optimal, performance on many of the currently available
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| *  computers.  Users are encouraged to modify this subroutine to set
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| *  the tuning parameters for their particular machine using the option
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| *  and problem size information in the arguments.
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| *
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| *  This routine will not function correctly if it is converted to all
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| *  lower case.  Converting it to all upper case is allowed.
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| *
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| *  Arguments:
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| *  ==========
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| *
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| *  ISPEC   (input) INTEGER
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| *          Specifies the parameter to be returned as the value of
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| *          ILAENV.
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| *          = 1: the optimal blocksize; if this value is 1, an unblocked
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| *               algorithm will give the best performance.
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| *          = 2: the minimum block size for which the block routine
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| *               should be used; if the usable block size is less than
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| *               this value, an unblocked routine should be used.
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| *          = 3: the crossover point (in a block routine, for N less
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| *               than this value, an unblocked routine should be used)
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| *          = 4: the number of shifts, used in the nonsymmetric
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| *               eigenvalue routines
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| *          = 5: the minimum column dimension for blocking to be used;
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| *               rectangular blocks must have dimension at least k by m,
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| *               where k is given by ILAENV(2,...) and m by ILAENV(5,...)
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| *          = 6: the crossover point for the SVD (when reducing an m by n
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| *               matrix to bidiagonal form, if max(m,n)/min(m,n) exceeds
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| *               this value, a QR factorization is used first to reduce
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| *               the matrix to a triangular form.)
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| *          = 7: the number of processors
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| *          = 8: the crossover point for the multishift QR and QZ methods
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| *               for nonsymmetric eigenvalue problems.
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| *          = 9: maximum size of the subproblems at the bottom of the
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| *               computation tree in the divide-and-conquer algorithm
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| *               (used by xGELSD and xGESDD)
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| *          =10: ieee NaN arithmetic can be trusted not to trap
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| *          =11: infinity arithmetic can be trusted not to trap
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| *
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| *  NAME    (input) CHARACTER*(*)
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| *          The name of the calling subroutine, in either upper case or
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| *          lower case.
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| *
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| *  OPTS    (input) CHARACTER*(*)
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| *          The character options to the subroutine NAME, concatenated
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| *          into a single character string.  For example, UPLO = 'U',
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| *          TRANS = 'T', and DIAG = 'N' for a triangular routine would
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| *          be specified as OPTS = 'UTN'.
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| *
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| *  N1      (input) INTEGER
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| *  N2      (input) INTEGER
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| *  N3      (input) INTEGER
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| *  N4      (input) INTEGER
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| *          Problem dimensions for the subroutine NAME; these may not all
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| *          be required.
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| *
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| * (ILAENV) (output) INTEGER
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| *          >= 0: the value of the parameter specified by ISPEC
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| *          < 0:  if ILAENV = -k, the k-th argument had an illegal value.
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| *
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| *  Further Details
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| *  ===============
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| *
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| *  The following conventions have been used when calling ILAENV from the
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| *  LAPACK routines:
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| *  1)  OPTS is a concatenation of all of the character options to
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| *      subroutine NAME, in the same order that they appear in the
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| *      argument list for NAME, even if they are not used in determining
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| *      the value of the parameter specified by ISPEC.
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| *  2)  The problem dimensions N1, N2, N3, N4 are specified in the order
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| *      that they appear in the argument list for NAME.  N1 is used
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| *      first, N2 second, and so on, and unused problem dimensions are
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| *      passed a value of -1.
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| *  3)  The parameter value returned by ILAENV is checked for validity in
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| *      the calling subroutine.  For example, ILAENV is used to retrieve
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| *      the optimal blocksize for STRTRI as follows:
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| *
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| *      NB = ILAENV( 1, 'STRTRI', UPLO // DIAG, N, -1, -1, -1 )
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| *      IF( NB.LE.1 ) NB = MAX( 1, N )
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| *
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| *  =====================================================================
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| *
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| *     .. Local Scalars ..
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|       LOGICAL            CNAME, SNAME
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|       CHARACTER*1        C1
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|       CHARACTER*2        C2, C4
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|       CHARACTER*3        C3
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|       CHARACTER*6        SUBNAM
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|       INTEGER            I, IC, IZ, NB, NBMIN, NX
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| *     ..
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| *     .. Intrinsic Functions ..
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|       INTRINSIC          CHAR, ICHAR, INT, MIN, REAL
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| *     ..
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| *     .. External Functions ..
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|       INTEGER            IEEECK
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|       EXTERNAL           IEEECK
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| *     ..
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| *     .. Executable Statements ..
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| *
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|       GO TO ( 100, 100, 100, 400, 500, 600, 700, 800, 900, 1000,
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|      $        1100 ) ISPEC
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| *
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| *     Invalid value for ISPEC
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| *
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|       ILAENV = -1
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|       RETURN
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| *
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|   100 CONTINUE
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| *
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| *     Convert NAME to upper case if the first character is lower case.
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| *
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|       ILAENV = 1
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|       SUBNAM = NAME
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|       IC = ICHAR( SUBNAM( 1:1 ) )
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|       IZ = ICHAR( 'Z' )
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|       IF( IZ.EQ.90 .OR. IZ.EQ.122 ) THEN
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| *
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| *        ASCII character set
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| *
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|          IF( IC.GE.97 .AND. IC.LE.122 ) THEN
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|             SUBNAM( 1:1 ) = CHAR( IC-32 )
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|             DO 10 I = 2, 6
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|                IC = ICHAR( SUBNAM( I:I ) )
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|                IF( IC.GE.97 .AND. IC.LE.122 )
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|      $            SUBNAM( I:I ) = CHAR( IC-32 )
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|    10       CONTINUE
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|          END IF
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| *
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|       ELSE IF( IZ.EQ.233 .OR. IZ.EQ.169 ) THEN
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| *
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| *        EBCDIC character set
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| *
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|          IF( ( IC.GE.129 .AND. IC.LE.137 ) .OR.
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|      $       ( IC.GE.145 .AND. IC.LE.153 ) .OR.
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|      $       ( IC.GE.162 .AND. IC.LE.169 ) ) THEN
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|             SUBNAM( 1:1 ) = CHAR( IC+64 )
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|             DO 20 I = 2, 6
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|                IC = ICHAR( SUBNAM( I:I ) )
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|                IF( ( IC.GE.129 .AND. IC.LE.137 ) .OR.
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|      $             ( IC.GE.145 .AND. IC.LE.153 ) .OR.
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|      $             ( IC.GE.162 .AND. IC.LE.169 ) )
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|      $            SUBNAM( I:I ) = CHAR( IC+64 )
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|    20       CONTINUE
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|          END IF
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| *
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|       ELSE IF( IZ.EQ.218 .OR. IZ.EQ.250 ) THEN
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| *
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| *        Prime machines:  ASCII+128
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| *
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|          IF( IC.GE.225 .AND. IC.LE.250 ) THEN
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|             SUBNAM( 1:1 ) = CHAR( IC-32 )
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|             DO 30 I = 2, 6
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|                IC = ICHAR( SUBNAM( I:I ) )
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|                IF( IC.GE.225 .AND. IC.LE.250 )
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|      $            SUBNAM( I:I ) = CHAR( IC-32 )
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|    30       CONTINUE
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|          END IF
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|       END IF
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| *
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|       C1 = SUBNAM( 1:1 )
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|       SNAME = C1.EQ.'S' .OR. C1.EQ.'D'
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|       CNAME = C1.EQ.'C' .OR. C1.EQ.'Z'
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|       IF( .NOT.( CNAME .OR. SNAME ) )
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|      $   RETURN
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|       C2 = SUBNAM( 2:3 )
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|       C3 = SUBNAM( 4:6 )
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|       C4 = C3( 2:3 )
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| *
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|       GO TO ( 110, 200, 300 ) ISPEC
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| *
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|   110 CONTINUE
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| *
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| *     ISPEC = 1:  block size
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| *
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| *     In these examples, separate code is provided for setting NB for
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| *     real and complex.  We assume that NB will take the same value in
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| *     single or double precision.
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| *
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|       NB = 1
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| *
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|       IF( C2.EQ.'GE' ) THEN
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|          IF( C3.EQ.'TRF' ) THEN
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|             IF( SNAME ) THEN
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|                NB = 64
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|             ELSE
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|                NB = 64
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|             END IF
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|          ELSE IF( C3.EQ.'QRF' .OR. C3.EQ.'RQF' .OR. C3.EQ.'LQF' .OR.
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|      $            C3.EQ.'QLF' ) THEN
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|             IF( SNAME ) THEN
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|                NB = 32
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|             ELSE
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|                NB = 32
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|             END IF
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|          ELSE IF( C3.EQ.'HRD' ) THEN
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|             IF( SNAME ) THEN
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|                NB = 32
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|             ELSE
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|                NB = 32
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|             END IF
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|          ELSE IF( C3.EQ.'BRD' ) THEN
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|             IF( SNAME ) THEN
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|                NB = 32
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|             ELSE
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|                NB = 32
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|             END IF
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|          ELSE IF( C3.EQ.'TRI' ) THEN
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|             IF( SNAME ) THEN
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|                NB = 64
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|             ELSE
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|                NB = 64
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|             END IF
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|          END IF
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|       ELSE IF( C2.EQ.'PO' ) THEN
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|          IF( C3.EQ.'TRF' ) THEN
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|             IF( SNAME ) THEN
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|                NB = 64
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|             ELSE
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|                NB = 64
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|             END IF
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|          END IF
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|       ELSE IF( C2.EQ.'SY' ) THEN
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|          IF( C3.EQ.'TRF' ) THEN
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|             IF( SNAME ) THEN
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|                NB = 64
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|             ELSE
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|                NB = 64
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|             END IF
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|          ELSE IF( SNAME .AND. C3.EQ.'TRD' ) THEN
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|             NB = 32
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|          ELSE IF( SNAME .AND. C3.EQ.'GST' ) THEN
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|             NB = 64
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|          END IF
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|       ELSE IF( CNAME .AND. C2.EQ.'HE' ) THEN
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|          IF( C3.EQ.'TRF' ) THEN
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|             NB = 64
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|          ELSE IF( C3.EQ.'TRD' ) THEN
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|             NB = 32
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|          ELSE IF( C3.EQ.'GST' ) THEN
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|             NB = 64
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|          END IF
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|       ELSE IF( SNAME .AND. C2.EQ.'OR' ) THEN
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|          IF( C3( 1:1 ).EQ.'G' ) THEN
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|             IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR.
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|      $          C4.EQ.'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR.
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|      $          C4.EQ.'BR' ) THEN
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|                NB = 32
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|             END IF
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|          ELSE IF( C3( 1:1 ).EQ.'M' ) THEN
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|             IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR.
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|      $          C4.EQ.'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR.
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|      $          C4.EQ.'BR' ) THEN
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|                NB = 32
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|             END IF
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|          END IF
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|       ELSE IF( CNAME .AND. C2.EQ.'UN' ) THEN
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|          IF( C3( 1:1 ).EQ.'G' ) THEN
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|             IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR.
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|      $          C4.EQ.'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR.
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|      $          C4.EQ.'BR' ) THEN
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|                NB = 32
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|             END IF
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|          ELSE IF( C3( 1:1 ).EQ.'M' ) THEN
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|             IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR.
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|      $          C4.EQ.'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR.
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|      $          C4.EQ.'BR' ) THEN
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|                NB = 32
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|             END IF
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|          END IF
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|       ELSE IF( C2.EQ.'GB' ) THEN
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|          IF( C3.EQ.'TRF' ) THEN
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|             IF( SNAME ) THEN
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|                IF( N4.LE.64 ) THEN
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|                   NB = 1
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|                ELSE
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|                   NB = 32
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|                END IF
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|             ELSE
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|                IF( N4.LE.64 ) THEN
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|                   NB = 1
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|                ELSE
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|                   NB = 32
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|                END IF
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|             END IF
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|          END IF
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|       ELSE IF( C2.EQ.'PB' ) THEN
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|          IF( C3.EQ.'TRF' ) THEN
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|             IF( SNAME ) THEN
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|                IF( N2.LE.64 ) THEN
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|                   NB = 1
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|                ELSE
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|                   NB = 32
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|                END IF
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|             ELSE
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|                IF( N2.LE.64 ) THEN
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|                   NB = 1
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|                ELSE
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|                   NB = 32
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|                END IF
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|             END IF
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|          END IF
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|       ELSE IF( C2.EQ.'TR' ) THEN
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|          IF( C3.EQ.'TRI' ) THEN
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|             IF( SNAME ) THEN
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|                NB = 64
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|             ELSE
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|                NB = 64
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|             END IF
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|          END IF
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|       ELSE IF( C2.EQ.'LA' ) THEN
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|          IF( C3.EQ.'UUM' ) THEN
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|             IF( SNAME ) THEN
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|                NB = 64
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|             ELSE
 | |
|                NB = 64
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|             END IF
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|          END IF
 | |
|       ELSE IF( SNAME .AND. C2.EQ.'ST' ) THEN
 | |
|          IF( C3.EQ.'EBZ' ) THEN
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|             NB = 1
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|          END IF
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|       END IF
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|       ILAENV = NB
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|       RETURN
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| *
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|   200 CONTINUE
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| *
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| *     ISPEC = 2:  minimum block size
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| *
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|       NBMIN = 2
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|       IF( C2.EQ.'GE' ) THEN
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|          IF( C3.EQ.'QRF' .OR. C3.EQ.'RQF' .OR. C3.EQ.'LQF' .OR.
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|      $       C3.EQ.'QLF' ) THEN
 | |
|             IF( SNAME ) THEN
 | |
|                NBMIN = 2
 | |
|             ELSE
 | |
|                NBMIN = 2
 | |
|             END IF
 | |
|          ELSE IF( C3.EQ.'HRD' ) THEN
 | |
|             IF( SNAME ) THEN
 | |
|                NBMIN = 2
 | |
|             ELSE
 | |
|                NBMIN = 2
 | |
|             END IF
 | |
|          ELSE IF( C3.EQ.'BRD' ) THEN
 | |
|             IF( SNAME ) THEN
 | |
|                NBMIN = 2
 | |
|             ELSE
 | |
|                NBMIN = 2
 | |
|             END IF
 | |
|          ELSE IF( C3.EQ.'TRI' ) THEN
 | |
|             IF( SNAME ) THEN
 | |
|                NBMIN = 2
 | |
|             ELSE
 | |
|                NBMIN = 2
 | |
|             END IF
 | |
|          END IF
 | |
|       ELSE IF( C2.EQ.'SY' ) THEN
 | |
|          IF( C3.EQ.'TRF' ) THEN
 | |
|             IF( SNAME ) THEN
 | |
|                NBMIN = 8
 | |
|             ELSE
 | |
|                NBMIN = 8
 | |
|             END IF
 | |
|          ELSE IF( SNAME .AND. C3.EQ.'TRD' ) THEN
 | |
|             NBMIN = 2
 | |
|          END IF
 | |
|       ELSE IF( CNAME .AND. C2.EQ.'HE' ) THEN
 | |
|          IF( C3.EQ.'TRD' ) THEN
 | |
|             NBMIN = 2
 | |
|          END IF
 | |
|       ELSE IF( SNAME .AND. C2.EQ.'OR' ) THEN
 | |
|          IF( C3( 1:1 ).EQ.'G' ) THEN
 | |
|             IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR.
 | |
|      $          C4.EQ.'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR.
 | |
|      $          C4.EQ.'BR' ) THEN
 | |
|                NBMIN = 2
 | |
|             END IF
 | |
|          ELSE IF( C3( 1:1 ).EQ.'M' ) THEN
 | |
|             IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR.
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|      $          C4.EQ.'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR.
 | |
|      $          C4.EQ.'BR' ) THEN
 | |
|                NBMIN = 2
 | |
|             END IF
 | |
|          END IF
 | |
|       ELSE IF( CNAME .AND. C2.EQ.'UN' ) THEN
 | |
|          IF( C3( 1:1 ).EQ.'G' ) THEN
 | |
|             IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR.
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|      $          C4.EQ.'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR.
 | |
|      $          C4.EQ.'BR' ) THEN
 | |
|                NBMIN = 2
 | |
|             END IF
 | |
|          ELSE IF( C3( 1:1 ).EQ.'M' ) THEN
 | |
|             IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR.
 | |
|      $          C4.EQ.'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR.
 | |
|      $          C4.EQ.'BR' ) THEN
 | |
|                NBMIN = 2
 | |
|             END IF
 | |
|          END IF
 | |
|       END IF
 | |
|       ILAENV = NBMIN
 | |
|       RETURN
 | |
| *
 | |
|   300 CONTINUE
 | |
| *
 | |
| *     ISPEC = 3:  crossover point
 | |
| *
 | |
|       NX = 0
 | |
|       IF( C2.EQ.'GE' ) THEN
 | |
|          IF( C3.EQ.'QRF' .OR. C3.EQ.'RQF' .OR. C3.EQ.'LQF' .OR.
 | |
|      $       C3.EQ.'QLF' ) THEN
 | |
|             IF( SNAME ) THEN
 | |
|                NX = 128
 | |
|             ELSE
 | |
|                NX = 128
 | |
|             END IF
 | |
|          ELSE IF( C3.EQ.'HRD' ) THEN
 | |
|             IF( SNAME ) THEN
 | |
|                NX = 128
 | |
|             ELSE
 | |
|                NX = 128
 | |
|             END IF
 | |
|          ELSE IF( C3.EQ.'BRD' ) THEN
 | |
|             IF( SNAME ) THEN
 | |
|                NX = 128
 | |
|             ELSE
 | |
|                NX = 128
 | |
|             END IF
 | |
|          END IF
 | |
|       ELSE IF( C2.EQ.'SY' ) THEN
 | |
|          IF( SNAME .AND. C3.EQ.'TRD' ) THEN
 | |
|             NX = 32
 | |
|          END IF
 | |
|       ELSE IF( CNAME .AND. C2.EQ.'HE' ) THEN
 | |
|          IF( C3.EQ.'TRD' ) THEN
 | |
|             NX = 32
 | |
|          END IF
 | |
|       ELSE IF( SNAME .AND. C2.EQ.'OR' ) THEN
 | |
|          IF( C3( 1:1 ).EQ.'G' ) THEN
 | |
|             IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR.
 | |
|      $          C4.EQ.'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR.
 | |
|      $          C4.EQ.'BR' ) THEN
 | |
|                NX = 128
 | |
|             END IF
 | |
|          END IF
 | |
|       ELSE IF( CNAME .AND. C2.EQ.'UN' ) THEN
 | |
|          IF( C3( 1:1 ).EQ.'G' ) THEN
 | |
|             IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR.
 | |
|      $          C4.EQ.'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR.
 | |
|      $          C4.EQ.'BR' ) THEN
 | |
|                NX = 128
 | |
|             END IF
 | |
|          END IF
 | |
|       END IF
 | |
|       ILAENV = NX
 | |
|       RETURN
 | |
| *
 | |
|   400 CONTINUE
 | |
| *
 | |
| *     ISPEC = 4:  number of shifts (used by xHSEQR)
 | |
| *
 | |
|       ILAENV = 6
 | |
|       RETURN
 | |
| *
 | |
|   500 CONTINUE
 | |
| *
 | |
| *     ISPEC = 5:  minimum column dimension (not used)
 | |
| *
 | |
|       ILAENV = 2
 | |
|       RETURN
 | |
| *
 | |
|   600 CONTINUE 
 | |
| *
 | |
| *     ISPEC = 6:  crossover point for SVD (used by xGELSS and xGESVD)
 | |
| *
 | |
|       ILAENV = INT( REAL( MIN( N1, N2 ) )*1.6E0 )
 | |
|       RETURN
 | |
| *
 | |
|   700 CONTINUE
 | |
| *
 | |
| *     ISPEC = 7:  number of processors (not used)
 | |
| *
 | |
|       ILAENV = 1
 | |
|       RETURN
 | |
| *
 | |
|   800 CONTINUE
 | |
| *
 | |
| *     ISPEC = 8:  crossover point for multishift (used by xHSEQR)
 | |
| *
 | |
|       ILAENV = 50
 | |
|       RETURN
 | |
| *
 | |
|   900 CONTINUE
 | |
| *
 | |
| *     ISPEC = 9:  maximum size of the subproblems at the bottom of the
 | |
| *                 computation tree in the divide-and-conquer algorithm
 | |
| *                 (used by xGELSD and xGESDD)
 | |
| *
 | |
|       ILAENV = 25
 | |
|       RETURN
 | |
| *
 | |
|  1000 CONTINUE
 | |
| *
 | |
| *     ISPEC = 10: ieee NaN arithmetic can be trusted not to trap
 | |
| *
 | |
|       ILAENV = 1
 | |
|       IF (ILAENV .EQ. 1) THEN
 | |
|          ILAENV = IEEECK( 0, 0.0, 1.0 ) 
 | |
|       ENDIF
 | |
|       RETURN
 | |
| *
 | |
|  1100 CONTINUE
 | |
| *
 | |
| *     ISPEC = 11: infinity arithmetic can be trusted not to trap
 | |
| *
 | |
|       ILAENV = 1
 | |
|       IF (ILAENV .EQ. 1) THEN
 | |
|          ILAENV = IEEECK( 1, 0.0, 1.0 ) 
 | |
|       ENDIF
 | |
|       RETURN
 | |
| *
 | |
| *     End of ILAENV
 | |
| *
 | |
|       END
 | |
|       INTEGER          FUNCTION IEEECK( ISPEC, ZERO, ONE ) 
 | |
| *
 | |
| *  -- LAPACK auxiliary routine (version 3.4.0) --
 | |
| *     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
 | |
| *     November 2006
 | |
| *
 | |
| *     .. Scalar Arguments ..
 | |
|       INTEGER            ISPEC
 | |
|       REAL               ZERO, ONE
 | |
| *     ..
 | |
| *
 | |
| *  Purpose
 | |
| *  =======
 | |
| *
 | |
| *  IEEECK is called from the ILAENV to verify that Inifinity and 
 | |
| *  possibly NaN arithmetic is safe (i.e. will not trap).
 | |
| *
 | |
| *  Arguments:
 | |
| *  ==========
 | |
| *
 | |
| *  ISPEC   (input) INTEGER
 | |
| *          Specifies whether to test just for inifinity arithmetic
 | |
| *          or whether to test for infinity and NaN arithmetic.
 | |
| *          = 0: Verify infinity arithmetic only.
 | |
| *          = 1: Verify infinity and NaN arithmetic.
 | |
| *
 | |
| *  ZERO    (input) REAL
 | |
| *          Must contain the value 0.0
 | |
| *          This is passed to prevent the compiler from optimizing 
 | |
| *          away this code.
 | |
| *
 | |
| *  ONE     (input) REAL
 | |
| *          Must contain the value 1.0
 | |
| *          This is passed to prevent the compiler from optimizing 
 | |
| *          away this code.
 | |
| *
 | |
| *  RETURN VALUE:  INTEGER
 | |
| *          = 0:  Arithmetic failed to produce the correct answers
 | |
| *          = 1:  Arithmetic produced the correct answers
 | |
| *
 | |
| *     .. Local Scalars ..
 | |
|       REAL POSINF, NEGINF, NAN1, NAN2, NAN3, NAN4, NAN5, NAN6, NEGZRO,
 | |
|      $     NEWZRO
 | |
| *     ..
 | |
| *     .. Executable Statements ..
 | |
|       IEEECK = 1
 | |
| 
 | |
|       POSINF = ONE /ZERO
 | |
|       IF ( POSINF .LE. ONE ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
|       NEGINF = -ONE / ZERO
 | |
|       IF ( NEGINF .GE. ZERO ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
|       NEGZRO = ONE / ( NEGINF + ONE )
 | |
|       IF ( NEGZRO .NE. ZERO ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
|          
 | |
|       NEGINF = ONE / NEGZRO 
 | |
|       IF ( NEGINF .GE. ZERO ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
|       NEWZRO = NEGZRO + ZERO
 | |
|       IF ( NEWZRO .NE. ZERO ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
|          
 | |
|       POSINF = ONE / NEWZRO
 | |
|       IF ( POSINF .LE. ONE ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
|       NEGINF = NEGINF * POSINF 
 | |
|       IF ( NEGINF .GE. ZERO ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
|       POSINF = POSINF * POSINF 
 | |
|       IF ( POSINF .LE. ONE ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
| 
 | |
| 
 | |
| *
 | |
| *     Return if we were only asked to check infinity arithmetic
 | |
| *
 | |
|       IF (ISPEC .EQ. 0 ) RETURN
 | |
| 
 | |
|       NAN1 = POSINF + NEGINF
 | |
| 
 | |
|       NAN2 = POSINF / NEGINF
 | |
|       
 | |
|       NAN3 = POSINF / POSINF
 | |
|       
 | |
|       NAN4 = POSINF * ZERO
 | |
|       
 | |
|       NAN5 = NEGINF * NEGZRO
 | |
| 
 | |
|       NAN6 = NAN5 * 0.0
 | |
| 
 | |
|       IF ( NAN1 .EQ. NAN1 ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
|       IF ( NAN2 .EQ. NAN2 ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
|       IF ( NAN3 .EQ. NAN3 ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
|       IF ( NAN4 .EQ. NAN4 ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
|       IF ( NAN5 .EQ. NAN5 ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
|       IF ( NAN6 .EQ. NAN6 ) THEN
 | |
|          IEEECK = 0
 | |
|          RETURN
 | |
|       ENDIF
 | |
| 
 | |
|       RETURN
 | |
|       END
 |