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224 lines
6.4 KiB
224 lines
6.4 KiB
*> \brief \b SGET40
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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 SGET40( RMAX, LMAX, NINFO, KNT, NIN )
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*
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* .. Scalar Arguments ..
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* INTEGER KNT, LMAX, NIN
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* REAL RMAX
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* ..
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* .. Array Arguments ..
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* INTEGER NINFO( 2 )
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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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*> SGET40 tests STGEXC, a routine for swapping adjacent blocks (either
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*> 1 by 1 or 2 by 2) on the diagonal of a pencil in real generalized Schur form.
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*> Thus, STGEXC computes an orthogonal matrices Q and Z such that
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*>
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*> Q' * ( [ A B ], [ D E ] ) * Z = ( [ C1 B1 ], [ F1 E1 ] )
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*> ( [ 0 C ] [ F ] ) ( [ 0 A1 ] [ D1] )
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*>
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*> where (C1,F1) is similar to (C,F) and (A1,D1) is similar to (A,D).
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*> Both (A,D) and (C,F) are assumed to be in standard form
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*> and (A1,D1) and (C1,F1) are returned with the
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*> same properties.
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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[out] RMAX
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*> \verbatim
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*> RMAX is REAL
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*> Value of the largest test ratio.
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*> \endverbatim
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*>
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*> \param[out] LMAX
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*> \verbatim
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*> LMAX is INTEGER
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*> Example number where largest test ratio achieved.
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*> \endverbatim
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*>
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*> \param[out] NINFO
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*> \verbatim
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*> NINFO is INTEGER array, dimension (2)
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*> NINFO( 1 ) = STGEXC without accumulation returned INFO nonzero
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*> NINFO( 2 ) = STGEXC with accumulation returned INFO nonzero
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*> \endverbatim
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*>
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*> \param[out] KNT
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*> \verbatim
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*> KNT is INTEGER
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*> Total number of examples tested.
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*> \endverbatim
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*>
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*> \param[in] NIN
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*> \verbatim
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*> NIN is INTEGER
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*> Input logical unit number.
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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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*> \ingroup double_eig
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*
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* =====================================================================
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SUBROUTINE SGET40( RMAX, LMAX, NINFO, KNT, NIN )
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*
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* -- LAPACK test routine --
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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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*
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* .. Scalar Arguments ..
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INTEGER KNT, LMAX, NIN
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REAL RMAX
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* ..
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* .. Array Arguments ..
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INTEGER NINFO( 2 )
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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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REAL ZERO, ONE
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PARAMETER ( ZERO = 0.0, ONE = 1.0 )
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INTEGER LDT, LWORK
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PARAMETER ( LDT = 10, LWORK = 100 + 4*LDT + 16 )
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* ..
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* .. Local Scalars ..
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INTEGER I, IFST, IFST1, IFST2, IFSTSV, ILST, ILST1,
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$ ILST2, ILSTSV, J, LOC, N
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REAL EPS, RES
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* ..
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* .. Local Arrays ..
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REAL Q( LDT, LDT ), Z( LDT, LDT ), RESULT( 4 ),
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$ T( LDT, LDT ), T1( LDT, LDT ), T2( LDT, LDT ),
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$ S( LDT, LDT ), S1( LDT, LDT ), S2( LDT, LDT ),
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$ TMP( LDT, LDT ), WORK( LWORK )
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* ..
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* .. External Functions ..
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REAL SLAMCH
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EXTERNAL SLAMCH
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* ..
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* .. External Subroutines ..
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EXTERNAL SGET51, SLACPY, SLASET, STGEXC
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC ABS, SIGN
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* ..
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* .. Executable Statements ..
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*
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EPS = SLAMCH( 'P' )
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RMAX = ZERO
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LMAX = 0
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KNT = 0
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NINFO( 1 ) = 0
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NINFO( 2 ) = 0
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*
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* Read input data until N=0
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*
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10 CONTINUE
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READ( NIN, FMT = * )N, IFST, ILST
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IF( N.EQ.0 )
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$ RETURN
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KNT = KNT + 1
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DO 20 I = 1, N
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READ( NIN, FMT = * )( TMP( I, J ), J = 1, N )
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20 CONTINUE
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CALL SLACPY( 'F', N, N, TMP, LDT, T, LDT )
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CALL SLACPY( 'F', N, N, TMP, LDT, T1, LDT )
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CALL SLACPY( 'F', N, N, TMP, LDT, T2, LDT )
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DO 25 I = 1, N
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READ( NIN, FMT = * )( TMP( I, J ), J = 1, N )
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25 CONTINUE
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CALL SLACPY( 'F', N, N, TMP, LDT, S, LDT )
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CALL SLACPY( 'F', N, N, TMP, LDT, S1, LDT )
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CALL SLACPY( 'F', N, N, TMP, LDT, S2, LDT )
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IFSTSV = IFST
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ILSTSV = ILST
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IFST1 = IFST
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ILST1 = ILST
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IFST2 = IFST
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ILST2 = ILST
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RES = ZERO
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*
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* Test without accumulating Q and Z
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*
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CALL SLASET( 'Full', N, N, ZERO, ONE, Q, LDT )
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CALL SLASET( 'Full', N, N, ZERO, ONE, Z, LDT )
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CALL STGEXC( .FALSE., .FALSE., N, T1, LDT, S1, LDT, Q, LDT,
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$ Z, LDT, IFST1, ILST1, WORK, LWORK, NINFO( 1 ) )
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DO 40 I = 1, N
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DO 30 J = 1, N
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IF( I.EQ.J .AND. Q( I, J ).NE.ONE )
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$ RES = RES + ONE / EPS
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IF( I.NE.J .AND. Q( I, J ).NE.ZERO )
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$ RES = RES + ONE / EPS
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IF( I.EQ.J .AND. Z( I, J ).NE.ONE )
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$ RES = RES + ONE / EPS
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IF( I.NE.J .AND. Z( I, J ).NE.ZERO )
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$ RES = RES + ONE / EPS
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30 CONTINUE
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40 CONTINUE
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*
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* Test with accumulating Q
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*
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CALL SLASET( 'Full', N, N, ZERO, ONE, Q, LDT )
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CALL SLASET( 'Full', N, N, ZERO, ONE, Z, LDT )
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CALL STGEXC( .TRUE., .TRUE., N, T2, LDT, S2, LDT, Q, LDT,
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$ Z, LDT, IFST2, ILST2, WORK, LWORK, NINFO( 2 ) )
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*
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* Compare T1 with T2 and S1 with S2
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*
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DO 60 I = 1, N
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DO 50 J = 1, N
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IF( T1( I, J ).NE.T2( I, J ) )
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$ RES = RES + ONE / EPS
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IF( S1( I, J ).NE.S2( I, J ) )
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$ RES = RES + ONE / EPS
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50 CONTINUE
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60 CONTINUE
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IF( IFST1.NE.IFST2 )
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$ RES = RES + ONE / EPS
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IF( ILST1.NE.ILST2 )
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$ RES = RES + ONE / EPS
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IF( NINFO( 1 ).NE.NINFO( 2 ) )
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$ RES = RES + ONE / EPS
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*
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* Test orthogonality of Q and Z and backward error on T2 and S2
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*
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CALL SGET51( 1, N, T, LDT, T2, LDT, Q, LDT, Z, LDT, WORK,
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$ RESULT( 1 ) )
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CALL SGET51( 1, N, S, LDT, S2, LDT, Q, LDT, Z, LDT, WORK,
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$ RESULT( 2 ) )
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CALL SGET51( 3, N, T, LDT, T2, LDT, Q, LDT, Q, LDT, WORK,
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$ RESULT( 3 ) )
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CALL SGET51( 3, N, T, LDT, T2, LDT, Z, LDT, Z, LDT, WORK,
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$ RESULT( 4 ) )
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RES = RES + RESULT( 1 ) + RESULT( 2 ) + RESULT( 3 ) + RESULT( 4 )
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*
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* Read next matrix pair
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*
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GO TO 10
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*
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* End of SGET40
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*
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END
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