numeric-linalg
Educational material on the SciPy implementation of numerical linear algebra algorithms
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| lapack/TESTING/LIN/clatb5.f | 5365B | -rw-r--r-- |
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*> \brief \b CLATB5 * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * * Definition: * =========== * * SUBROUTINE CLATB5( PATH, IMAT, N, TYPE, KL, KU, ANORM, MODE, * CNDNUM, DIST ) * * .. Scalar Arguments .. * REAL ANORM, CNDNUM * INTEGER IMAT, KL, KU, MODE, N * CHARACTER DIST, TYPE * CHARACTER*3 PATH * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> CLATB5 sets parameters for the matrix generator based on the type *> of matrix to be generated. *> \endverbatim * * Arguments: * ========== * *> \param[in] PATH *> \verbatim *> PATH is CHARACTER*3 *> The LAPACK path name. *> \endverbatim *> *> \param[in] IMAT *> \verbatim *> IMAT is INTEGER *> An integer key describing which matrix to generate for this *> path. *> \endverbatim *> *> \param[in] N *> \verbatim *> N is INTEGER *> The number of rows and columns in the matrix to be generated. *> \endverbatim *> *> \param[out] TYPE *> \verbatim *> TYPE is CHARACTER*1 *> The type of the matrix to be generated: *> = 'S': symmetric matrix *> = 'P': symmetric positive (semi)definite matrix *> = 'N': nonsymmetric matrix *> \endverbatim *> *> \param[out] KL *> \verbatim *> KL is INTEGER *> The lower band width of the matrix to be generated. *> \endverbatim *> *> \param[out] KU *> \verbatim *> KU is INTEGER *> The upper band width of the matrix to be generated. *> \endverbatim *> *> \param[out] ANORM *> \verbatim *> ANORM is REAL *> The desired norm of the matrix to be generated. The diagonal *> matrix of singular values or eigenvalues is scaled by this *> value. *> \endverbatim *> *> \param[out] MODE *> \verbatim *> MODE is INTEGER *> A key indicating how to choose the vector of eigenvalues. *> \endverbatim *> *> \param[out] CNDNUM *> \verbatim *> CNDNUM is REAL *> The desired condition number. *> \endverbatim *> *> \param[out] DIST *> \verbatim *> DIST is CHARACTER*1 *> The type of distribution to be used by the random number *> generator. *> \endverbatim * * Authors: * ======== * *> \author Univ. of Tennessee *> \author Univ. of California Berkeley *> \author Univ. of Colorado Denver *> \author NAG Ltd. * *> \ingroup complex_lin * * ===================================================================== SUBROUTINE CLATB5( PATH, IMAT, N, TYPE, KL, KU, ANORM, MODE, $ CNDNUM, DIST ) * * -- LAPACK test routine -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * * .. Scalar Arguments .. REAL ANORM, CNDNUM INTEGER IMAT, KL, KU, MODE, N CHARACTER DIST, TYPE CHARACTER*3 PATH * .. * * ===================================================================== * * .. Parameters .. REAL SHRINK, TENTH PARAMETER ( SHRINK = 0.25E0, TENTH = 0.1E+0 ) REAL ONE PARAMETER ( ONE = 1.0E+0 ) REAL TWO PARAMETER ( TWO = 2.0E+0 ) * .. * .. Local Scalars .. REAL BADC1, BADC2, EPS, LARGE, SMALL LOGICAL FIRST CHARACTER*2 C2 * .. * .. External Functions .. REAL SLAMCH EXTERNAL SLAMCH * .. * .. Intrinsic Functions .. INTRINSIC MAX, SQRT * .. * .. Save statement .. SAVE EPS, SMALL, LARGE, BADC1, BADC2, FIRST * .. * .. Data statements .. DATA FIRST / .TRUE. / * .. * .. Executable Statements .. * * Set some constants for use in the subroutine. * IF( FIRST ) THEN FIRST = .FALSE. EPS = SLAMCH( 'Precision' ) BADC2 = TENTH / EPS BADC1 = SQRT( BADC2 ) SMALL = SLAMCH( 'Safe minimum' ) LARGE = ONE / SMALL SMALL = SHRINK*( SMALL / EPS ) LARGE = ONE / SMALL END IF * C2 = PATH( 2: 3 ) * * Set some parameters * DIST = 'S' MODE = 3 * * Set TYPE, the type of matrix to be generated. * TYPE = C2( 1: 1 ) * * Set the lower and upper bandwidths. * IF( IMAT.EQ.1 ) THEN KL = 0 ELSE KL = MAX( N-1, 0 ) END IF KU = KL * * Set the condition number and norm.etc * IF( IMAT.EQ.3 ) THEN CNDNUM = 1.0E4 MODE = 2 ELSE IF( IMAT.EQ.4 ) THEN CNDNUM = 1.0E4 MODE = 1 ELSE IF( IMAT.EQ.5 ) THEN CNDNUM = 1.0E4 MODE = 3 ELSE IF( IMAT.EQ.6 ) THEN CNDNUM = BADC1 ELSE IF( IMAT.EQ.7 ) THEN CNDNUM = BADC2 ELSE CNDNUM = TWO END IF * IF( IMAT.EQ.8 ) THEN ANORM = SMALL ELSE IF( IMAT.EQ.9 ) THEN ANORM = LARGE ELSE ANORM = ONE END IF * IF( N.LE.1 ) $ CNDNUM = ONE * RETURN * * End of CLATB5 * END