714 lines
23 KiB
Fortran
714 lines
23 KiB
Fortran
*> \brief \b DCHKBB
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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 DCHKBB( NSIZES, MVAL, NVAL, NWDTHS, KK, NTYPES, DOTYPE,
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* NRHS, ISEED, THRESH, NOUNIT, A, LDA, AB, LDAB,
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* BD, BE, Q, LDQ, P, LDP, C, LDC, CC, WORK,
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* LWORK, RESULT, INFO )
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*
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* .. Scalar Arguments ..
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* INTEGER INFO, LDA, LDAB, LDC, LDP, LDQ, LWORK, NOUNIT,
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* $ NRHS, NSIZES, NTYPES, NWDTHS
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* DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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* LOGICAL DOTYPE( * )
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* INTEGER ISEED( 4 ), KK( * ), MVAL( * ), NVAL( * )
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* DOUBLE PRECISION A( LDA, * ), AB( LDAB, * ), BD( * ), BE( * ),
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* $ C( LDC, * ), CC( LDC, * ), P( LDP, * ),
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* $ Q( LDQ, * ), RESULT( * ), WORK( * )
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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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*> DCHKBB tests the reduction of a general real rectangular band
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*> matrix to bidiagonal form.
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*>
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*> DGBBRD factors a general band matrix A as Q B P* , where * means
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*> transpose, B is upper bidiagonal, and Q and P are orthogonal;
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*> DGBBRD can also overwrite a given matrix C with Q* C .
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*>
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*> For each pair of matrix dimensions (M,N) and each selected matrix
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*> type, an M by N matrix A and an M by NRHS matrix C are generated.
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*> The problem dimensions are as follows
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*> A: M x N
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*> Q: M x M
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*> P: N x N
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*> B: min(M,N) x min(M,N)
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*> C: M x NRHS
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*>
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*> For each generated matrix, 4 tests are performed:
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*>
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*> (1) | A - Q B PT | / ( |A| max(M,N) ulp ), PT = P'
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*>
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*> (2) | I - Q' Q | / ( M ulp )
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*>
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*> (3) | I - PT PT' | / ( N ulp )
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*>
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*> (4) | Y - Q' C | / ( |Y| max(M,NRHS) ulp ), where Y = Q' C.
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*>
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*> The "types" are specified by a logical array DOTYPE( 1:NTYPES );
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*> if DOTYPE(j) is .TRUE., then matrix type "j" will be generated.
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*> Currently, the list of possible types is:
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*>
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*> The possible matrix types are
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*>
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*> (1) The zero matrix.
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*> (2) The identity matrix.
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*>
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*> (3) A diagonal matrix with evenly spaced entries
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*> 1, ..., ULP and random signs.
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*> (ULP = (first number larger than 1) - 1 )
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*> (4) A diagonal matrix with geometrically spaced entries
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*> 1, ..., ULP and random signs.
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*> (5) A diagonal matrix with "clustered" entries 1, ULP, ..., ULP
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*> and random signs.
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*>
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*> (6) Same as (3), but multiplied by SQRT( overflow threshold )
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*> (7) Same as (3), but multiplied by SQRT( underflow threshold )
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*>
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*> (8) A matrix of the form U D V, where U and V are orthogonal and
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*> D has evenly spaced entries 1, ..., ULP with random signs
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*> on the diagonal.
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*>
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*> (9) A matrix of the form U D V, where U and V are orthogonal and
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*> D has geometrically spaced entries 1, ..., ULP with random
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*> signs on the diagonal.
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*>
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*> (10) A matrix of the form U D V, where U and V are orthogonal and
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*> D has "clustered" entries 1, ULP,..., ULP with random
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*> signs on the diagonal.
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*>
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*> (11) Same as (8), but multiplied by SQRT( overflow threshold )
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*> (12) Same as (8), but multiplied by SQRT( underflow threshold )
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*>
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*> (13) Rectangular matrix with random entries chosen from (-1,1).
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*> (14) Same as (13), but multiplied by SQRT( overflow threshold )
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*> (15) Same as (13), but multiplied by SQRT( underflow threshold )
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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] NSIZES
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*> \verbatim
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*> NSIZES is INTEGER
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*> The number of values of M and N contained in the vectors
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*> MVAL and NVAL. The matrix sizes are used in pairs (M,N).
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*> If NSIZES is zero, DCHKBB does nothing. NSIZES must be at
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*> least zero.
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*> \endverbatim
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*>
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*> \param[in] MVAL
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*> \verbatim
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*> MVAL is INTEGER array, dimension (NSIZES)
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*> The values of the matrix row dimension M.
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*> \endverbatim
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*>
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*> \param[in] NVAL
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*> \verbatim
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*> NVAL is INTEGER array, dimension (NSIZES)
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*> The values of the matrix column dimension N.
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*> \endverbatim
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*>
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*> \param[in] NWDTHS
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*> \verbatim
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*> NWDTHS is INTEGER
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*> The number of bandwidths to use. If it is zero,
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*> DCHKBB does nothing. It must be at least zero.
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*> \endverbatim
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*>
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*> \param[in] KK
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*> \verbatim
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*> KK is INTEGER array, dimension (NWDTHS)
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*> An array containing the bandwidths to be used for the band
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*> matrices. The values must be at least zero.
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*> \endverbatim
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*>
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*> \param[in] NTYPES
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*> \verbatim
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*> NTYPES is INTEGER
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*> The number of elements in DOTYPE. If it is zero, DCHKBB
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*> does nothing. It must be at least zero. If it is MAXTYP+1
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*> and NSIZES is 1, then an additional type, MAXTYP+1 is
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*> defined, which is to use whatever matrix is in A. This
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*> is only useful if DOTYPE(1:MAXTYP) is .FALSE. and
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*> DOTYPE(MAXTYP+1) is .TRUE. .
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*> \endverbatim
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*>
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*> \param[in] DOTYPE
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*> \verbatim
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*> DOTYPE is LOGICAL array, dimension (NTYPES)
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*> If DOTYPE(j) is .TRUE., then for each size in NN a
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*> matrix of that size and of type j will be generated.
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*> If NTYPES is smaller than the maximum number of types
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*> defined (PARAMETER MAXTYP), then types NTYPES+1 through
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*> MAXTYP will not be generated. If NTYPES is larger
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*> than MAXTYP, DOTYPE(MAXTYP+1) through DOTYPE(NTYPES)
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*> will be ignored.
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*> \endverbatim
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*>
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*> \param[in] NRHS
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*> \verbatim
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*> NRHS is INTEGER
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*> The number of columns in the "right-hand side" matrix C.
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*> If NRHS = 0, then the operations on the right-hand side will
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*> not be tested. NRHS must be at least 0.
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*> \endverbatim
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*>
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*> \param[in,out] ISEED
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*> \verbatim
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*> ISEED is INTEGER array, dimension (4)
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*> On entry ISEED specifies the seed of the random number
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*> generator. The array elements should be between 0 and 4095;
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*> if not they will be reduced mod 4096. Also, ISEED(4) must
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*> be odd. The random number generator uses a linear
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*> congruential sequence limited to small integers, and so
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*> should produce machine independent random numbers. The
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*> values of ISEED are changed on exit, and can be used in the
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*> next call to DCHKBB to continue the same random number
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*> sequence.
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*> \endverbatim
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*>
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*> \param[in] THRESH
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*> \verbatim
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*> THRESH is DOUBLE PRECISION
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*> A test will count as "failed" if the "error", computed as
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*> described above, exceeds THRESH. Note that the error
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*> is scaled to be O(1), so THRESH should be a reasonably
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*> small multiple of 1, e.g., 10 or 100. In particular,
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*> it should not depend on the precision (single vs. double)
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*> or the size of the matrix. It must be at least zero.
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*> \endverbatim
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*>
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*> \param[in] NOUNIT
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*> \verbatim
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*> NOUNIT is INTEGER
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*> The FORTRAN unit number for printing out error messages
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*> (e.g., if a routine returns IINFO not equal to 0.)
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*> \endverbatim
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*>
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*> \param[in,out] A
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*> \verbatim
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*> A is DOUBLE PRECISION array, dimension
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*> (LDA, max(NN))
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*> Used to hold the matrix A.
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*> \endverbatim
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*>
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*> \param[in] LDA
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*> \verbatim
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*> LDA is INTEGER
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*> The leading dimension of A. It must be at least 1
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*> and at least max( NN ).
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*> \endverbatim
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*>
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*> \param[out] AB
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*> \verbatim
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*> AB is DOUBLE PRECISION array, dimension (LDAB, max(NN))
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*> Used to hold A in band storage format.
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*> \endverbatim
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*>
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*> \param[in] LDAB
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*> \verbatim
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*> LDAB is INTEGER
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*> The leading dimension of AB. It must be at least 2 (not 1!)
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*> and at least max( KK )+1.
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*> \endverbatim
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*>
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*> \param[out] BD
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*> \verbatim
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*> BD is DOUBLE PRECISION array, dimension (max(NN))
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*> Used to hold the diagonal of the bidiagonal matrix computed
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*> by DGBBRD.
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*> \endverbatim
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*>
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*> \param[out] BE
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*> \verbatim
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*> BE is DOUBLE PRECISION array, dimension (max(NN))
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*> Used to hold the off-diagonal of the bidiagonal matrix
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*> computed by DGBBRD.
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*> \endverbatim
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*>
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*> \param[out] Q
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*> \verbatim
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*> Q is DOUBLE PRECISION array, dimension (LDQ, max(NN))
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*> Used to hold the orthogonal matrix Q computed by DGBBRD.
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*> \endverbatim
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*>
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*> \param[in] LDQ
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*> \verbatim
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*> LDQ is INTEGER
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*> The leading dimension of Q. It must be at least 1
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*> and at least max( NN ).
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*> \endverbatim
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*>
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*> \param[out] P
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*> \verbatim
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*> P is DOUBLE PRECISION array, dimension (LDP, max(NN))
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*> Used to hold the orthogonal matrix P computed by DGBBRD.
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*> \endverbatim
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*>
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*> \param[in] LDP
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*> \verbatim
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*> LDP is INTEGER
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*> The leading dimension of P. It must be at least 1
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*> and at least max( NN ).
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*> \endverbatim
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*>
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*> \param[out] C
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*> \verbatim
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*> C is DOUBLE PRECISION array, dimension (LDC, max(NN))
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*> Used to hold the matrix C updated by DGBBRD.
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*> \endverbatim
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*>
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*> \param[in] LDC
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*> \verbatim
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*> LDC is INTEGER
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*> The leading dimension of U. It must be at least 1
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*> and at least max( NN ).
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*> \endverbatim
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*>
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*> \param[out] CC
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*> \verbatim
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*> CC is DOUBLE PRECISION array, dimension (LDC, max(NN))
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*> Used to hold a copy of the matrix C.
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*> \endverbatim
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*>
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*> \param[out] WORK
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*> \verbatim
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*> WORK is DOUBLE PRECISION array, dimension (LWORK)
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*> \endverbatim
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*>
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*> \param[in] LWORK
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*> \verbatim
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*> LWORK is INTEGER
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*> The number of entries in WORK. This must be at least
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*> max( LDA+1, max(NN)+1 )*max(NN).
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*> \endverbatim
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*>
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*> \param[out] RESULT
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*> \verbatim
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*> RESULT is DOUBLE PRECISION array, dimension (4)
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*> The values computed by the tests described above.
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*> The values are currently limited to 1/ulp, to avoid
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*> overflow.
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*> \endverbatim
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*>
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*> \param[out] INFO
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*> \verbatim
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*> INFO is INTEGER
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*> If 0, then everything ran OK.
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*>
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*>-----------------------------------------------------------------------
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*>
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*> Some Local Variables and Parameters:
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*> ---- ----- --------- --- ----------
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*> ZERO, ONE Real 0 and 1.
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*> MAXTYP The number of types defined.
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*> NTEST The number of tests performed, or which can
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*> be performed so far, for the current matrix.
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*> NTESTT The total number of tests performed so far.
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*> NMAX Largest value in NN.
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*> NMATS The number of matrices generated so far.
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*> NERRS The number of tests which have exceeded THRESH
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*> so far.
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*> COND, IMODE Values to be passed to the matrix generators.
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*> ANORM Norm of A; passed to matrix generators.
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*>
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*> OVFL, UNFL Overflow and underflow thresholds.
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*> ULP, ULPINV Finest relative precision and its inverse.
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*> RTOVFL, RTUNFL Square roots of the previous 2 values.
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*> The following four arrays decode JTYPE:
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*> KTYPE(j) The general type (1-10) for type "j".
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*> KMODE(j) The MODE value to be passed to the matrix
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*> generator for type "j".
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*> KMAGN(j) The order of magnitude ( O(1),
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*> O(overflow^(1/2) ), O(underflow^(1/2) )
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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 2011
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*
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*> \ingroup double_eig
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*
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* =====================================================================
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SUBROUTINE DCHKBB( NSIZES, MVAL, NVAL, NWDTHS, KK, NTYPES, DOTYPE,
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$ NRHS, ISEED, THRESH, NOUNIT, A, LDA, AB, LDAB,
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$ BD, BE, Q, LDQ, P, LDP, C, LDC, CC, WORK,
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$ LWORK, RESULT, INFO )
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*
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* -- LAPACK test routine (input) --
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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 2011
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*
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* .. Scalar Arguments ..
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INTEGER INFO, LDA, LDAB, LDC, LDP, LDQ, LWORK, NOUNIT,
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$ NRHS, NSIZES, NTYPES, NWDTHS
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DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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LOGICAL DOTYPE( * )
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INTEGER ISEED( 4 ), KK( * ), MVAL( * ), NVAL( * )
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DOUBLE PRECISION A( LDA, * ), AB( LDAB, * ), BD( * ), BE( * ),
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$ C( LDC, * ), CC( LDC, * ), P( LDP, * ),
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$ Q( LDQ, * ), RESULT( * ), WORK( * )
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* ..
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*
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* =====================================================================
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*
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* .. Parameters ..
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DOUBLE PRECISION ZERO, ONE
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PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
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INTEGER MAXTYP
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PARAMETER ( MAXTYP = 15 )
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* ..
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* .. Local Scalars ..
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LOGICAL BADMM, BADNN, BADNNB
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INTEGER I, IINFO, IMODE, ITYPE, J, JCOL, JR, JSIZE,
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$ JTYPE, JWIDTH, K, KL, KMAX, KU, M, MMAX, MNMAX,
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$ MNMIN, MTYPES, N, NERRS, NMATS, NMAX, NTEST,
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$ NTESTT
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DOUBLE PRECISION AMNINV, ANORM, COND, OVFL, RTOVFL, RTUNFL, ULP,
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$ ULPINV, UNFL
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* ..
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* .. Local Arrays ..
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INTEGER IDUMMA( 1 ), IOLDSD( 4 ), KMAGN( MAXTYP ),
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$ KMODE( MAXTYP ), KTYPE( MAXTYP )
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* ..
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* .. External Functions ..
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DOUBLE PRECISION DLAMCH
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EXTERNAL DLAMCH
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* ..
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* .. External Subroutines ..
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EXTERNAL DBDT01, DBDT02, DGBBRD, DLACPY, DLAHD2, DLASET,
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$ DLASUM, DLATMR, DLATMS, DORT01, XERBLA
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC ABS, DBLE, MAX, MIN, SQRT
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* ..
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* .. Data statements ..
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DATA KTYPE / 1, 2, 5*4, 5*6, 3*9 /
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DATA KMAGN / 2*1, 3*1, 2, 3, 3*1, 2, 3, 1, 2, 3 /
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DATA KMODE / 2*0, 4, 3, 1, 4, 4, 4, 3, 1, 4, 4, 0,
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$ 0, 0 /
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* ..
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* .. Executable Statements ..
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*
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* Check for errors
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*
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NTESTT = 0
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INFO = 0
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*
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* Important constants
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*
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BADMM = .FALSE.
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BADNN = .FALSE.
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MMAX = 1
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NMAX = 1
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MNMAX = 1
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DO 10 J = 1, NSIZES
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MMAX = MAX( MMAX, MVAL( J ) )
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IF( MVAL( J ).LT.0 )
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$ BADMM = .TRUE.
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NMAX = MAX( NMAX, NVAL( J ) )
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IF( NVAL( J ).LT.0 )
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$ BADNN = .TRUE.
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MNMAX = MAX( MNMAX, MIN( MVAL( J ), NVAL( J ) ) )
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10 CONTINUE
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*
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BADNNB = .FALSE.
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KMAX = 0
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DO 20 J = 1, NWDTHS
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KMAX = MAX( KMAX, KK( J ) )
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IF( KK( J ).LT.0 )
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$ BADNNB = .TRUE.
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20 CONTINUE
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*
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* Check for errors
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*
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IF( NSIZES.LT.0 ) THEN
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INFO = -1
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ELSE IF( BADMM ) THEN
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INFO = -2
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ELSE IF( BADNN ) THEN
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INFO = -3
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ELSE IF( NWDTHS.LT.0 ) THEN
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INFO = -4
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ELSE IF( BADNNB ) THEN
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INFO = -5
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ELSE IF( NTYPES.LT.0 ) THEN
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INFO = -6
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ELSE IF( NRHS.LT.0 ) THEN
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INFO = -8
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ELSE IF( LDA.LT.NMAX ) THEN
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INFO = -13
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ELSE IF( LDAB.LT.2*KMAX+1 ) THEN
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INFO = -15
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ELSE IF( LDQ.LT.NMAX ) THEN
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INFO = -19
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ELSE IF( LDP.LT.NMAX ) THEN
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INFO = -21
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ELSE IF( LDC.LT.NMAX ) THEN
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INFO = -23
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ELSE IF( ( MAX( LDA, NMAX )+1 )*NMAX.GT.LWORK ) THEN
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INFO = -26
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END IF
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*
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IF( INFO.NE.0 ) THEN
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CALL XERBLA( 'DCHKBB', -INFO )
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RETURN
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END IF
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*
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|
* Quick return if possible
|
|
*
|
|
IF( NSIZES.EQ.0 .OR. NTYPES.EQ.0 .OR. NWDTHS.EQ.0 )
|
|
$ RETURN
|
|
*
|
|
* More Important constants
|
|
*
|
|
UNFL = DLAMCH( 'Safe minimum' )
|
|
OVFL = ONE / UNFL
|
|
ULP = DLAMCH( 'Epsilon' )*DLAMCH( 'Base' )
|
|
ULPINV = ONE / ULP
|
|
RTUNFL = SQRT( UNFL )
|
|
RTOVFL = SQRT( OVFL )
|
|
*
|
|
* Loop over sizes, widths, types
|
|
*
|
|
NERRS = 0
|
|
NMATS = 0
|
|
*
|
|
DO 160 JSIZE = 1, NSIZES
|
|
M = MVAL( JSIZE )
|
|
N = NVAL( JSIZE )
|
|
MNMIN = MIN( M, N )
|
|
AMNINV = ONE / DBLE( MAX( 1, M, N ) )
|
|
*
|
|
DO 150 JWIDTH = 1, NWDTHS
|
|
K = KK( JWIDTH )
|
|
IF( K.GE.M .AND. K.GE.N )
|
|
$ GO TO 150
|
|
KL = MAX( 0, MIN( M-1, K ) )
|
|
KU = MAX( 0, MIN( N-1, K ) )
|
|
*
|
|
IF( NSIZES.NE.1 ) THEN
|
|
MTYPES = MIN( MAXTYP, NTYPES )
|
|
ELSE
|
|
MTYPES = MIN( MAXTYP+1, NTYPES )
|
|
END IF
|
|
*
|
|
DO 140 JTYPE = 1, MTYPES
|
|
IF( .NOT.DOTYPE( JTYPE ) )
|
|
$ GO TO 140
|
|
NMATS = NMATS + 1
|
|
NTEST = 0
|
|
*
|
|
DO 30 J = 1, 4
|
|
IOLDSD( J ) = ISEED( J )
|
|
30 CONTINUE
|
|
*
|
|
* Compute "A".
|
|
*
|
|
* Control parameters:
|
|
*
|
|
* KMAGN KMODE KTYPE
|
|
* =1 O(1) clustered 1 zero
|
|
* =2 large clustered 2 identity
|
|
* =3 small exponential (none)
|
|
* =4 arithmetic diagonal, (w/ singular values)
|
|
* =5 random log (none)
|
|
* =6 random nonhermitian, w/ singular values
|
|
* =7 (none)
|
|
* =8 (none)
|
|
* =9 random nonhermitian
|
|
*
|
|
IF( MTYPES.GT.MAXTYP )
|
|
$ GO TO 90
|
|
*
|
|
ITYPE = KTYPE( JTYPE )
|
|
IMODE = KMODE( JTYPE )
|
|
*
|
|
* Compute norm
|
|
*
|
|
GO TO ( 40, 50, 60 )KMAGN( JTYPE )
|
|
*
|
|
40 CONTINUE
|
|
ANORM = ONE
|
|
GO TO 70
|
|
*
|
|
50 CONTINUE
|
|
ANORM = ( RTOVFL*ULP )*AMNINV
|
|
GO TO 70
|
|
*
|
|
60 CONTINUE
|
|
ANORM = RTUNFL*MAX( M, N )*ULPINV
|
|
GO TO 70
|
|
*
|
|
70 CONTINUE
|
|
*
|
|
CALL DLASET( 'Full', LDA, N, ZERO, ZERO, A, LDA )
|
|
CALL DLASET( 'Full', LDAB, N, ZERO, ZERO, AB, LDAB )
|
|
IINFO = 0
|
|
COND = ULPINV
|
|
*
|
|
* Special Matrices -- Identity & Jordan block
|
|
*
|
|
* Zero
|
|
*
|
|
IF( ITYPE.EQ.1 ) THEN
|
|
IINFO = 0
|
|
*
|
|
ELSE IF( ITYPE.EQ.2 ) THEN
|
|
*
|
|
* Identity
|
|
*
|
|
DO 80 JCOL = 1, N
|
|
A( JCOL, JCOL ) = ANORM
|
|
80 CONTINUE
|
|
*
|
|
ELSE IF( ITYPE.EQ.4 ) THEN
|
|
*
|
|
* Diagonal Matrix, singular values specified
|
|
*
|
|
CALL DLATMS( M, N, 'S', ISEED, 'N', WORK, IMODE, COND,
|
|
$ ANORM, 0, 0, 'N', A, LDA, WORK( M+1 ),
|
|
$ IINFO )
|
|
*
|
|
ELSE IF( ITYPE.EQ.6 ) THEN
|
|
*
|
|
* Nonhermitian, singular values specified
|
|
*
|
|
CALL DLATMS( M, N, 'S', ISEED, 'N', WORK, IMODE, COND,
|
|
$ ANORM, KL, KU, 'N', A, LDA, WORK( M+1 ),
|
|
$ IINFO )
|
|
*
|
|
ELSE IF( ITYPE.EQ.9 ) THEN
|
|
*
|
|
* Nonhermitian, random entries
|
|
*
|
|
CALL DLATMR( M, N, 'S', ISEED, 'N', WORK, 6, ONE, ONE,
|
|
$ 'T', 'N', WORK( N+1 ), 1, ONE,
|
|
$ WORK( 2*N+1 ), 1, ONE, 'N', IDUMMA, KL,
|
|
$ KU, ZERO, ANORM, 'N', A, LDA, IDUMMA,
|
|
$ IINFO )
|
|
*
|
|
ELSE
|
|
*
|
|
IINFO = 1
|
|
END IF
|
|
*
|
|
* Generate Right-Hand Side
|
|
*
|
|
CALL DLATMR( M, NRHS, 'S', ISEED, 'N', WORK, 6, ONE, ONE,
|
|
$ 'T', 'N', WORK( M+1 ), 1, ONE,
|
|
$ WORK( 2*M+1 ), 1, ONE, 'N', IDUMMA, M, NRHS,
|
|
$ ZERO, ONE, 'NO', C, LDC, IDUMMA, IINFO )
|
|
*
|
|
IF( IINFO.NE.0 ) THEN
|
|
WRITE( NOUNIT, FMT = 9999 )'Generator', IINFO, N,
|
|
$ JTYPE, IOLDSD
|
|
INFO = ABS( IINFO )
|
|
RETURN
|
|
END IF
|
|
*
|
|
90 CONTINUE
|
|
*
|
|
* Copy A to band storage.
|
|
*
|
|
DO 110 J = 1, N
|
|
DO 100 I = MAX( 1, J-KU ), MIN( M, J+KL )
|
|
AB( KU+1+I-J, J ) = A( I, J )
|
|
100 CONTINUE
|
|
110 CONTINUE
|
|
*
|
|
* Copy C
|
|
*
|
|
CALL DLACPY( 'Full', M, NRHS, C, LDC, CC, LDC )
|
|
*
|
|
* Call DGBBRD to compute B, Q and P, and to update C.
|
|
*
|
|
CALL DGBBRD( 'B', M, N, NRHS, KL, KU, AB, LDAB, BD, BE,
|
|
$ Q, LDQ, P, LDP, CC, LDC, WORK, IINFO )
|
|
*
|
|
IF( IINFO.NE.0 ) THEN
|
|
WRITE( NOUNIT, FMT = 9999 )'DGBBRD', IINFO, N, JTYPE,
|
|
$ IOLDSD
|
|
INFO = ABS( IINFO )
|
|
IF( IINFO.LT.0 ) THEN
|
|
RETURN
|
|
ELSE
|
|
RESULT( 1 ) = ULPINV
|
|
GO TO 120
|
|
END IF
|
|
END IF
|
|
*
|
|
* Test 1: Check the decomposition A := Q * B * P'
|
|
* 2: Check the orthogonality of Q
|
|
* 3: Check the orthogonality of P
|
|
* 4: Check the computation of Q' * C
|
|
*
|
|
CALL DBDT01( M, N, -1, A, LDA, Q, LDQ, BD, BE, P, LDP,
|
|
$ WORK, RESULT( 1 ) )
|
|
CALL DORT01( 'Columns', M, M, Q, LDQ, WORK, LWORK,
|
|
$ RESULT( 2 ) )
|
|
CALL DORT01( 'Rows', N, N, P, LDP, WORK, LWORK,
|
|
$ RESULT( 3 ) )
|
|
CALL DBDT02( M, NRHS, C, LDC, CC, LDC, Q, LDQ, WORK,
|
|
$ RESULT( 4 ) )
|
|
*
|
|
* End of Loop -- Check for RESULT(j) > THRESH
|
|
*
|
|
NTEST = 4
|
|
120 CONTINUE
|
|
NTESTT = NTESTT + NTEST
|
|
*
|
|
* Print out tests which fail.
|
|
*
|
|
DO 130 JR = 1, NTEST
|
|
IF( RESULT( JR ).GE.THRESH ) THEN
|
|
IF( NERRS.EQ.0 )
|
|
$ CALL DLAHD2( NOUNIT, 'DBB' )
|
|
NERRS = NERRS + 1
|
|
WRITE( NOUNIT, FMT = 9998 )M, N, K, IOLDSD, JTYPE,
|
|
$ JR, RESULT( JR )
|
|
END IF
|
|
130 CONTINUE
|
|
*
|
|
140 CONTINUE
|
|
150 CONTINUE
|
|
160 CONTINUE
|
|
*
|
|
* Summary
|
|
*
|
|
CALL DLASUM( 'DBB', NOUNIT, NERRS, NTESTT )
|
|
RETURN
|
|
*
|
|
9999 FORMAT( ' DCHKBB: ', A, ' returned INFO=', I5, '.', / 9X, 'M=',
|
|
$ I5, ' N=', I5, ' K=', I5, ', JTYPE=', I5, ', ISEED=(',
|
|
$ 3( I5, ',' ), I5, ')' )
|
|
9998 FORMAT( ' M =', I4, ' N=', I4, ', K=', I3, ', seed=',
|
|
$ 4( I4, ',' ), ' type ', I2, ', test(', I2, ')=', G10.3 )
|
|
*
|
|
* End of DCHKBB
|
|
*
|
|
END
|