475 lines
16 KiB
Fortran
475 lines
16 KiB
Fortran
*> \brief \b ALADHD
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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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* Definition:
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* ===========
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*
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* SUBROUTINE ALADHD( IOUNIT, PATH )
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*
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* .. Scalar Arguments ..
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* CHARACTER*3 PATH
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* INTEGER IOUNIT
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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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*> ALADHD prints header information for the driver routines test paths.
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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] IOUNIT
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*> \verbatim
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*> IOUNIT is INTEGER
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*> The unit number to which the header information should be
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*> printed.
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*> \endverbatim
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*>
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*> \param[in] PATH
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*> \verbatim
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*> PATH is CHARACTER*3
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*> The name of the path for which the header information is to
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*> be printed. Current paths are
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*> _GE: General matrices
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*> _GB: General band
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*> _GT: General Tridiagonal
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*> _PO: Symmetric or Hermitian positive definite
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*> _PS: Symmetric or Hermitian positive semi-definite
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*> _PP: Symmetric or Hermitian positive definite packed
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*> _PB: Symmetric or Hermitian positive definite band
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*> _PT: Symmetric or Hermitian positive definite tridiagonal
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*> _SY: Symmetric indefinite,
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*> with partial (Bunch-Kaufman) pivoting
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*> _SR: Symmetric indefinite,
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*> with "rook" (bounded Bunch-Kaufman) pivoting
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*> _SP: Symmetric indefinite packed,
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*> with partial (Bunch-Kaufman) pivoting
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*> _HE: (complex) Hermitian indefinite,
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*> with partial (Bunch-Kaufman) pivoting
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*> _HR: (complex) Hermitian indefinite,
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*> with "rook" (bounded Bunch-Kaufman) pivoting
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*> _HP: (complex) Hermitian indefinite packed,
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*> with partial (Bunch-Kaufman) pivoting
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*> The first character must be one of S, D, C, or Z (C or Z only
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*> if complex).
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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 2013
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*
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*> \ingroup aux_lin
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*
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* =====================================================================
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SUBROUTINE ALADHD( IOUNIT, PATH )
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*
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* -- LAPACK test routine (version 3.5.0) --
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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 2013
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*
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* .. Scalar Arguments ..
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CHARACTER*3 PATH
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INTEGER IOUNIT
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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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LOGICAL CORZ, SORD
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CHARACTER C1, C3
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CHARACTER*2 P2
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CHARACTER*9 SYM
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* ..
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* .. External Functions ..
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LOGICAL LSAME, LSAMEN
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EXTERNAL LSAME, LSAMEN
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* ..
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* .. Executable Statements ..
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*
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IF( IOUNIT.LE.0 )
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$ RETURN
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C1 = PATH( 1: 1 )
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C3 = PATH( 3: 3 )
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P2 = PATH( 2: 3 )
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SORD = LSAME( C1, 'S' ) .OR. LSAME( C1, 'D' )
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CORZ = LSAME( C1, 'C' ) .OR. LSAME( C1, 'Z' )
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IF( .NOT.( SORD .OR. CORZ ) )
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$ RETURN
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*
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IF( LSAMEN( 2, P2, 'GE' ) ) THEN
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*
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* GE: General dense
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*
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WRITE( IOUNIT, FMT = 9999 )PATH
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WRITE( IOUNIT, FMT = '( '' Matrix types:'' )' )
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WRITE( IOUNIT, FMT = 9989 )
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WRITE( IOUNIT, FMT = '( '' Test ratios:'' )' )
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WRITE( IOUNIT, FMT = 9981 )1
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WRITE( IOUNIT, FMT = 9980 )2
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WRITE( IOUNIT, FMT = 9979 )3
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WRITE( IOUNIT, FMT = 9978 )4
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WRITE( IOUNIT, FMT = 9977 )5
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WRITE( IOUNIT, FMT = 9976 )6
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WRITE( IOUNIT, FMT = 9972 )7
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WRITE( IOUNIT, FMT = '( '' Messages:'' )' )
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*
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ELSE IF( LSAMEN( 2, P2, 'GB' ) ) THEN
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*
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* GB: General band
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*
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WRITE( IOUNIT, FMT = 9998 )PATH
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WRITE( IOUNIT, FMT = '( '' Matrix types:'' )' )
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WRITE( IOUNIT, FMT = 9988 )
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WRITE( IOUNIT, FMT = '( '' Test ratios:'' )' )
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WRITE( IOUNIT, FMT = 9981 )1
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WRITE( IOUNIT, FMT = 9980 )2
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WRITE( IOUNIT, FMT = 9979 )3
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WRITE( IOUNIT, FMT = 9978 )4
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WRITE( IOUNIT, FMT = 9977 )5
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WRITE( IOUNIT, FMT = 9976 )6
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WRITE( IOUNIT, FMT = 9972 )7
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WRITE( IOUNIT, FMT = '( '' Messages:'' )' )
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*
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ELSE IF( LSAMEN( 2, P2, 'GT' ) ) THEN
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*
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* GT: General tridiagonal
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*
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WRITE( IOUNIT, FMT = 9997 )PATH
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WRITE( IOUNIT, FMT = 9987 )
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WRITE( IOUNIT, FMT = '( '' Test ratios:'' )' )
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WRITE( IOUNIT, FMT = 9981 )1
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WRITE( IOUNIT, FMT = 9980 )2
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WRITE( IOUNIT, FMT = 9979 )3
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WRITE( IOUNIT, FMT = 9978 )4
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WRITE( IOUNIT, FMT = 9977 )5
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WRITE( IOUNIT, FMT = 9976 )6
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WRITE( IOUNIT, FMT = '( '' Messages:'' )' )
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*
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ELSE IF( LSAMEN( 2, P2, 'PO' ) .OR. LSAMEN( 2, P2, 'PP' )
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$ .OR. LSAMEN( 2, P2, 'PS' ) ) THEN
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*
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* PO: Positive definite full
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* PS: Positive definite full
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* PP: Positive definite packed
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*
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IF( SORD ) THEN
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SYM = 'Symmetric'
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ELSE
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SYM = 'Hermitian'
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END IF
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IF( LSAME( C3, 'O' ) ) THEN
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WRITE( IOUNIT, FMT = 9996 )PATH, SYM
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ELSE
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WRITE( IOUNIT, FMT = 9995 )PATH, SYM
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END IF
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WRITE( IOUNIT, FMT = '( '' Matrix types:'' )' )
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WRITE( IOUNIT, FMT = 9985 )PATH
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WRITE( IOUNIT, FMT = '( '' Test ratios:'' )' )
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WRITE( IOUNIT, FMT = 9975 )1
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WRITE( IOUNIT, FMT = 9980 )2
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WRITE( IOUNIT, FMT = 9979 )3
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WRITE( IOUNIT, FMT = 9978 )4
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WRITE( IOUNIT, FMT = 9977 )5
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WRITE( IOUNIT, FMT = 9976 )6
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WRITE( IOUNIT, FMT = '( '' Messages:'' )' )
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*
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ELSE IF( LSAMEN( 2, P2, 'PB' ) ) THEN
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*
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* PB: Positive definite band
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*
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IF( SORD ) THEN
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WRITE( IOUNIT, FMT = 9994 )PATH, 'Symmetric'
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ELSE
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WRITE( IOUNIT, FMT = 9994 )PATH, 'Hermitian'
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END IF
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WRITE( IOUNIT, FMT = '( '' Matrix types:'' )' )
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WRITE( IOUNIT, FMT = 9984 )PATH
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WRITE( IOUNIT, FMT = '( '' Test ratios:'' )' )
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WRITE( IOUNIT, FMT = 9975 )1
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WRITE( IOUNIT, FMT = 9980 )2
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WRITE( IOUNIT, FMT = 9979 )3
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WRITE( IOUNIT, FMT = 9978 )4
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WRITE( IOUNIT, FMT = 9977 )5
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WRITE( IOUNIT, FMT = 9976 )6
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WRITE( IOUNIT, FMT = '( '' Messages:'' )' )
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*
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ELSE IF( LSAMEN( 2, P2, 'PT' ) ) THEN
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*
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* PT: Positive definite tridiagonal
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*
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IF( SORD ) THEN
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WRITE( IOUNIT, FMT = 9993 )PATH, 'Symmetric'
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ELSE
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WRITE( IOUNIT, FMT = 9993 )PATH, 'Hermitian'
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END IF
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WRITE( IOUNIT, FMT = 9986 )
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WRITE( IOUNIT, FMT = '( '' Test ratios:'' )' )
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WRITE( IOUNIT, FMT = 9973 )1
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WRITE( IOUNIT, FMT = 9980 )2
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WRITE( IOUNIT, FMT = 9979 )3
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WRITE( IOUNIT, FMT = 9978 )4
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WRITE( IOUNIT, FMT = 9977 )5
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WRITE( IOUNIT, FMT = 9976 )6
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WRITE( IOUNIT, FMT = '( '' Messages:'' )' )
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*
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ELSE IF( LSAMEN( 2, P2, 'SY' ) .OR. LSAMEN( 2, P2, 'SP' ) ) THEN
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*
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* SY: Symmetric indefinite full
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* with partial (Bunch-Kaufman) pivoting algorithm
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* SP: Symmetric indefinite packed
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* with partial (Bunch-Kaufman) pivoting algorithm
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*
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IF( LSAME( C3, 'Y' ) ) THEN
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WRITE( IOUNIT, FMT = 9992 )PATH, 'Symmetric'
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ELSE
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WRITE( IOUNIT, FMT = 9991 )PATH, 'Symmetric'
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END IF
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WRITE( IOUNIT, FMT = '( '' Matrix types:'' )' )
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IF( SORD ) THEN
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WRITE( IOUNIT, FMT = 9983 )
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ELSE
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WRITE( IOUNIT, FMT = 9982 )
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END IF
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WRITE( IOUNIT, FMT = '( '' Test ratios:'' )' )
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WRITE( IOUNIT, FMT = 9974 )1
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WRITE( IOUNIT, FMT = 9980 )2
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WRITE( IOUNIT, FMT = 9979 )3
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WRITE( IOUNIT, FMT = 9977 )4
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WRITE( IOUNIT, FMT = 9978 )5
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WRITE( IOUNIT, FMT = 9976 )6
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WRITE( IOUNIT, FMT = '( '' Messages:'' )' )
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*
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ELSE IF( LSAMEN( 2, P2, 'SR' ) ) THEN
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*
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* SR: Symmetric indefinite full,
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* with "rook" (bounded Bunch-Kaufman) pivoting algorithm
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*
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WRITE( IOUNIT, FMT = 9992 )PATH, 'Symmetric'
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*
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WRITE( IOUNIT, FMT = '( '' Matrix types:'' )' )
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IF( SORD ) THEN
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WRITE( IOUNIT, FMT = 9983 )
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ELSE
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WRITE( IOUNIT, FMT = 9982 )
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END IF
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*
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WRITE( IOUNIT, FMT = '( '' Test ratios:'' )' )
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WRITE( IOUNIT, FMT = 9974 )1
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WRITE( IOUNIT, FMT = 9980 )2
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WRITE( IOUNIT, FMT = 9979 )3
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WRITE( IOUNIT, FMT = '( '' Messages:'' )' )
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*
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ELSE IF( LSAMEN( 2, P2, 'HE' ) .OR. LSAMEN( 2, P2, 'HP' ) ) THEN
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*
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* HE: Hermitian indefinite full
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* with partial (Bunch-Kaufman) pivoting algorithm
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* HP: Hermitian indefinite packed
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* with partial (Bunch-Kaufman) pivoting algorithm
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*
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IF( LSAME( C3, 'E' ) ) THEN
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WRITE( IOUNIT, FMT = 9992 )PATH, 'Hermitian'
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ELSE
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WRITE( IOUNIT, FMT = 9991 )PATH, 'Hermitian'
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END IF
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*
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WRITE( IOUNIT, FMT = '( '' Matrix types:'' )' )
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WRITE( IOUNIT, FMT = 9983 )
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*
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WRITE( IOUNIT, FMT = '( '' Test ratios:'' )' )
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WRITE( IOUNIT, FMT = 9974 )1
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WRITE( IOUNIT, FMT = 9980 )2
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WRITE( IOUNIT, FMT = 9979 )3
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WRITE( IOUNIT, FMT = 9977 )4
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WRITE( IOUNIT, FMT = 9978 )5
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WRITE( IOUNIT, FMT = 9976 )6
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WRITE( IOUNIT, FMT = '( '' Messages:'' )' )
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*
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ELSE IF( LSAMEN( 2, P2, 'HR' ) ) THEN
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*
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* HR: Hermitian indefinite full,
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* with "rook" (bounded Bunch-Kaufman) pivoting algorithm
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*
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WRITE( IOUNIT, FMT = 9992 )PATH, 'Hermitian'
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*
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WRITE( IOUNIT, FMT = '( '' Matrix types:'' )' )
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WRITE( IOUNIT, FMT = 9983 )
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*
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WRITE( IOUNIT, FMT = '( '' Test ratios:'' )' )
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WRITE( IOUNIT, FMT = 9974 )1
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WRITE( IOUNIT, FMT = 9980 )2
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WRITE( IOUNIT, FMT = 9979 )3
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WRITE( IOUNIT, FMT = '( '' Messages:'' )' )
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*
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ELSE
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*
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* Print error message if no header is available.
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*
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WRITE( IOUNIT, FMT = 9990 )PATH
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END IF
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*
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* First line of header
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*
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9999 FORMAT( / 1X, A3, ' drivers: General dense matrices' )
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9998 FORMAT( / 1X, A3, ' drivers: General band matrices' )
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9997 FORMAT( / 1X, A3, ' drivers: General tridiagonal' )
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9996 FORMAT( / 1X, A3, ' drivers: ', A9,
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$ ' positive definite matrices' )
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9995 FORMAT( / 1X, A3, ' drivers: ', A9,
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$ ' positive definite packed matrices' )
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9994 FORMAT( / 1X, A3, ' drivers: ', A9,
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$ ' positive definite band matrices' )
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9993 FORMAT( / 1X, A3, ' drivers: ', A9,
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$ ' positive definite tridiagonal' )
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9992 FORMAT( / 1X, A3, ' drivers: ', A9, ' indefinite matrices',
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$ ', "rook" (bounded Bunch-Kaufman) pivoting' )
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9991 FORMAT( / 1X, A3, ' drivers: ', A9,
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$ ' indefinite packed matrices',
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$ ', partial (Bunch-Kaufman) pivoting' )
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9891 FORMAT( / 1X, A3, ' drivers: ', A9,
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$ ' indefinite packed matrices',
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$ ', "rook" (bounded Bunch-Kaufman) pivoting' )
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9990 FORMAT( / 1X, A3, ': No header available' )
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*
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* GE matrix types
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*
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9989 FORMAT( 4X, '1. Diagonal', 24X, '7. Last n/2 columns zero', / 4X,
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$ '2. Upper triangular', 16X,
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$ '8. Random, CNDNUM = sqrt(0.1/EPS)', / 4X,
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$ '3. Lower triangular', 16X, '9. Random, CNDNUM = 0.1/EPS',
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$ / 4X, '4. Random, CNDNUM = 2', 13X,
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$ '10. Scaled near underflow', / 4X, '5. First column zero',
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$ 14X, '11. Scaled near overflow', / 4X,
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$ '6. Last column zero' )
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*
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* GB matrix types
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*
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9988 FORMAT( 4X, '1. Random, CNDNUM = 2', 14X,
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$ '5. Random, CNDNUM = sqrt(0.1/EPS)', / 4X,
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$ '2. First column zero', 15X, '6. Random, CNDNUM = 0.1/EPS',
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$ / 4X, '3. Last column zero', 16X,
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$ '7. Scaled near underflow', / 4X,
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$ '4. Last n/2 columns zero', 11X, '8. Scaled near overflow' )
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*
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* GT matrix types
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*
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9987 FORMAT( ' Matrix types (1-6 have specified condition numbers):',
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$ / 4X, '1. Diagonal', 24X, '7. Random, unspecified CNDNUM',
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$ / 4X, '2. Random, CNDNUM = 2', 14X, '8. First column zero',
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$ / 4X, '3. Random, CNDNUM = sqrt(0.1/EPS)', 2X,
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$ '9. Last column zero', / 4X, '4. Random, CNDNUM = 0.1/EPS',
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$ 7X, '10. Last n/2 columns zero', / 4X,
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$ '5. Scaled near underflow', 10X,
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$ '11. Scaled near underflow', / 4X,
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$ '6. Scaled near overflow', 11X, '12. Scaled near overflow' )
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*
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* PT matrix types
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*
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9986 FORMAT( ' Matrix types (1-6 have specified condition numbers):',
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$ / 4X, '1. Diagonal', 24X, '7. Random, unspecified CNDNUM',
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$ / 4X, '2. Random, CNDNUM = 2', 14X,
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$ '8. First row and column zero', / 4X,
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$ '3. Random, CNDNUM = sqrt(0.1/EPS)', 2X,
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$ '9. Last row and column zero', / 4X,
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$ '4. Random, CNDNUM = 0.1/EPS', 7X,
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$ '10. Middle row and column zero', / 4X,
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$ '5. Scaled near underflow', 10X,
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$ '11. Scaled near underflow', / 4X,
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$ '6. Scaled near overflow', 11X, '12. Scaled near overflow' )
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*
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* PO, PP matrix types
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*
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9985 FORMAT( 4X, '1. Diagonal', 24X,
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$ '6. Random, CNDNUM = sqrt(0.1/EPS)', / 4X,
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$ '2. Random, CNDNUM = 2', 14X, '7. Random, CNDNUM = 0.1/EPS',
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$ / 3X, '*3. First row and column zero', 7X,
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$ '8. Scaled near underflow', / 3X,
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$ '*4. Last row and column zero', 8X,
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$ '9. Scaled near overflow', / 3X,
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$ '*5. Middle row and column zero', / 3X,
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$ '(* - tests error exits from ', A3,
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$ 'TRF, no test ratios are computed)' )
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*
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* PB matrix types
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*
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9984 FORMAT( 4X, '1. Random, CNDNUM = 2', 14X,
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$ '5. Random, CNDNUM = sqrt(0.1/EPS)', / 3X,
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$ '*2. First row and column zero', 7X,
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$ '6. Random, CNDNUM = 0.1/EPS', / 3X,
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$ '*3. Last row and column zero', 8X,
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$ '7. Scaled near underflow', / 3X,
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$ '*4. Middle row and column zero', 6X,
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$ '8. Scaled near overflow', / 3X,
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$ '(* - tests error exits from ', A3,
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$ 'TRF, no test ratios are computed)' )
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*
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* SSY, SSP, CHE, CHP matrix types
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*
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9983 FORMAT( 4X, '1. Diagonal', 24X,
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$ '6. Last n/2 rows and columns zero', / 4X,
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$ '2. Random, CNDNUM = 2', 14X,
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$ '7. Random, CNDNUM = sqrt(0.1/EPS)', / 4X,
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$ '3. First row and column zero', 7X,
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$ '8. Random, CNDNUM = 0.1/EPS', / 4X,
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$ '4. Last row and column zero', 8X,
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$ '9. Scaled near underflow', / 4X,
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$ '5. Middle row and column zero', 5X,
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$ '10. Scaled near overflow' )
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*
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* CSY, CSP matrix types
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*
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9982 FORMAT( 4X, '1. Diagonal', 24X,
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$ '7. Random, CNDNUM = sqrt(0.1/EPS)', / 4X,
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$ '2. Random, CNDNUM = 2', 14X, '8. Random, CNDNUM = 0.1/EPS',
|
|
$ / 4X, '3. First row and column zero', 7X,
|
|
$ '9. Scaled near underflow', / 4X,
|
|
$ '4. Last row and column zero', 7X,
|
|
$ '10. Scaled near overflow', / 4X,
|
|
$ '5. Middle row and column zero', 5X,
|
|
$ '11. Block diagonal matrix', / 4X,
|
|
$ '6. Last n/2 rows and columns zero' )
|
|
*
|
|
* Test ratios
|
|
*
|
|
9981 FORMAT( 3X, I2, ': norm( L * U - A ) / ( N * norm(A) * EPS )' )
|
|
9980 FORMAT( 3X, I2, ': norm( B - A * X ) / ',
|
|
$ '( norm(A) * norm(X) * EPS )' )
|
|
9979 FORMAT( 3X, I2, ': norm( X - XACT ) / ',
|
|
$ '( norm(XACT) * CNDNUM * EPS )' )
|
|
9978 FORMAT( 3X, I2, ': norm( X - XACT ) / ',
|
|
$ '( norm(XACT) * (error bound) )' )
|
|
9977 FORMAT( 3X, I2, ': (backward error) / EPS' )
|
|
9976 FORMAT( 3X, I2, ': RCOND * CNDNUM - 1.0' )
|
|
9975 FORMAT( 3X, I2, ': norm( U'' * U - A ) / ( N * norm(A) * EPS )',
|
|
$ ', or', / 7X, 'norm( L * L'' - A ) / ( N * norm(A) * EPS )'
|
|
$ )
|
|
9974 FORMAT( 3X, I2, ': norm( U*D*U'' - A ) / ( N * norm(A) * EPS )',
|
|
$ ', or', / 7X, 'norm( L*D*L'' - A ) / ( N * norm(A) * EPS )'
|
|
$ )
|
|
9973 FORMAT( 3X, I2, ': norm( U''*D*U - A ) / ( N * norm(A) * EPS )',
|
|
$ ', or', / 7X, 'norm( L*D*L'' - A ) / ( N * norm(A) * EPS )'
|
|
$ )
|
|
9972 FORMAT( 3X, I2, ': abs( WORK(1) - RPVGRW ) /',
|
|
$ ' ( max( WORK(1), RPVGRW ) * EPS )' )
|
|
*
|
|
RETURN
|
|
*
|
|
* End of ALADHD
|
|
*
|
|
END
|