644 lines
18 KiB
Fortran
644 lines
18 KiB
Fortran
*> \brief \b ILAENV
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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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*> \htmlonly
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*> Download ILAENV + dependencies
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilaenv.f">
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*> [TGZ]</a>
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilaenv.f">
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*> [ZIP]</a>
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilaenv.f">
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*> [TXT]</a>
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*> \endhtmlonly
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*
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* Definition:
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* ===========
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*
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* INTEGER FUNCTION ILAENV( ISPEC, NAME, OPTS, N1, N2, N3, N4 )
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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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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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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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*> ILAENV returns an INTEGER
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*> if ILAENV >= 0: ILAENV returns the value of the parameter specified by ISPEC
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*> if ILAENV < 0: if ILAENV = -k, the k-th argument had an illegal value.
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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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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] ISPEC
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*> \verbatim
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*> ISPEC is 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 (DEPRECATED)
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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 method
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*> for nonsymmetric eigenvalue problems (DEPRECATED)
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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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*> 12 <= ISPEC <= 16:
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*> xHSEQR or related subroutines,
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*> see IPARMQ for detailed explanation
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*> \endverbatim
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*>
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*> \param[in] NAME
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*> \verbatim
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*> NAME is 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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*> \endverbatim
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*>
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*> \param[in] OPTS
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*> \verbatim
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*> OPTS is 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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*> \endverbatim
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*>
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*> \param[in] N1
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*> \verbatim
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*> N1 is INTEGER
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*> \endverbatim
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*>
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*> \param[in] N2
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*> \verbatim
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*> N2 is INTEGER
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*> \endverbatim
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*>
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*> \param[in] N3
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*> \verbatim
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*> N3 is INTEGER
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*> \endverbatim
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*>
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*> \param[in] N4
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*> \verbatim
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*> N4 is 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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*> \endverbatim
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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 2015
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*
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*> \ingroup auxOTHERauxiliary
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*
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*> \par Further Details:
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* =====================
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*>
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*> \verbatim
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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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*> \endverbatim
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*>
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* =====================================================================
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INTEGER FUNCTION ILAENV( ISPEC, NAME, OPTS, N1, N2, N3, N4 )
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*
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* -- LAPACK auxiliary routine (version 3.6.0) --
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* -- LAPACK is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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* November 2015
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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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* =====================================================================
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*
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* .. Local Scalars ..
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INTEGER I, IC, IZ, NB, NBMIN, NX
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LOGICAL CNAME, SNAME
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CHARACTER C1*1, C2*2, C4*2, C3*3, SUBNAM*6
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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, IPARMQ
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EXTERNAL IEEECK, IPARMQ
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* ..
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* .. Executable Statements ..
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*
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GO TO ( 10, 10, 10, 80, 90, 100, 110, 120,
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$ 130, 140, 150, 160, 160, 160, 160, 160 )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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10 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 20 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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20 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 30 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 ) )SUBNAM( I:
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$ I ) = CHAR( IC+64 )
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30 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 40 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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40 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 ( 50, 60, 70 )ISPEC
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*
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50 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. C4.EQ.
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$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
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$ 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. C4.EQ.
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$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
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$ 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. C4.EQ.
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$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
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$ 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. C4.EQ.
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$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
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$ 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
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NB = 64
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END IF
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END IF
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ELSE IF( SNAME .AND. C2.EQ.'ST' ) THEN
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IF( C3.EQ.'EBZ' ) THEN
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NB = 1
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END IF
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ELSE IF( C2.EQ.'GG' ) THEN
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NB = 32
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IF( C3.EQ.'HD3' ) 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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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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60 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. C3.EQ.
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$ 'QLF' ) THEN
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IF( SNAME ) THEN
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NBMIN = 2
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ELSE
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NBMIN = 2
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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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NBMIN = 2
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ELSE
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NBMIN = 2
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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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NBMIN = 2
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ELSE
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NBMIN = 2
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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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NBMIN = 2
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ELSE
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NBMIN = 2
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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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NBMIN = 8
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ELSE
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NBMIN = 8
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END IF
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ELSE IF( SNAME .AND. C3.EQ.'TRD' ) THEN
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NBMIN = 2
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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.'TRD' ) THEN
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NBMIN = 2
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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. C4.EQ.
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$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
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$ THEN
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NBMIN = 2
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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. C4.EQ.
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$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
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$ THEN
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NBMIN = 2
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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. C4.EQ.
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$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
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$ THEN
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NBMIN = 2
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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. C4.EQ.
|
|
$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
|
|
$ THEN
|
|
NBMIN = 2
|
|
END IF
|
|
END IF
|
|
ELSE IF( C2.EQ.'GG' ) THEN
|
|
NBMIN = 2
|
|
IF( C3.EQ.'HD3' ) THEN
|
|
NBMIN = 2
|
|
END IF
|
|
END IF
|
|
ILAENV = NBMIN
|
|
RETURN
|
|
*
|
|
70 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
|
|
ELSE IF( C2.EQ.'GG' ) THEN
|
|
NX = 128
|
|
IF( C3.EQ.'HD3' ) THEN
|
|
NX = 128
|
|
END IF
|
|
END IF
|
|
ILAENV = NX
|
|
RETURN
|
|
*
|
|
80 CONTINUE
|
|
*
|
|
* ISPEC = 4: number of shifts (used by xHSEQR)
|
|
*
|
|
ILAENV = 6
|
|
RETURN
|
|
*
|
|
90 CONTINUE
|
|
*
|
|
* ISPEC = 5: minimum column dimension (not used)
|
|
*
|
|
ILAENV = 2
|
|
RETURN
|
|
*
|
|
100 CONTINUE
|
|
*
|
|
* ISPEC = 6: crossover point for SVD (used by xGELSS and xGESVD)
|
|
*
|
|
ILAENV = INT( REAL( MIN( N1, N2 ) )*1.6E0 )
|
|
RETURN
|
|
*
|
|
110 CONTINUE
|
|
*
|
|
* ISPEC = 7: number of processors (not used)
|
|
*
|
|
ILAENV = 1
|
|
RETURN
|
|
*
|
|
120 CONTINUE
|
|
*
|
|
* ISPEC = 8: crossover point for multishift (used by xHSEQR)
|
|
*
|
|
ILAENV = 50
|
|
RETURN
|
|
*
|
|
130 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
|
|
*
|
|
140 CONTINUE
|
|
*
|
|
* ISPEC = 10: ieee NaN arithmetic can be trusted not to trap
|
|
*
|
|
* ILAENV = 0
|
|
ILAENV = 1
|
|
IF( ILAENV.EQ.1 ) THEN
|
|
ILAENV = IEEECK( 1, 0.0, 1.0 )
|
|
END IF
|
|
RETURN
|
|
*
|
|
150 CONTINUE
|
|
*
|
|
* ISPEC = 11: infinity arithmetic can be trusted not to trap
|
|
*
|
|
* ILAENV = 0
|
|
ILAENV = 1
|
|
IF( ILAENV.EQ.1 ) THEN
|
|
ILAENV = IEEECK( 0, 0.0, 1.0 )
|
|
END IF
|
|
RETURN
|
|
*
|
|
160 CONTINUE
|
|
*
|
|
* 12 <= ISPEC <= 16: xHSEQR or related subroutines.
|
|
*
|
|
ILAENV = IPARMQ( ISPEC, NAME, OPTS, N1, N2, N3, N4 )
|
|
RETURN
|
|
*
|
|
* End of ILAENV
|
|
*
|
|
END
|