248 lines
7.7 KiB
Fortran
248 lines
7.7 KiB
Fortran
*> \brief \b CGET35
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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 CGET35( RMAX, LMAX, NINFO, KNT, NIN )
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*
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* .. Scalar Arguments ..
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* INTEGER KNT, LMAX, NIN, NINFO
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* REAL RMAX
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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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*> CGET35 tests CTRSYL, a routine for solving the Sylvester matrix
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*> equation
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*>
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*> op(A)*X + ISGN*X*op(B) = scale*C,
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*>
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*> A and B are assumed to be in Schur canonical form, op() represents an
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*> optional transpose, and ISGN can be -1 or +1. Scale is an output
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*> less than or equal to 1, chosen to avoid overflow in X.
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*>
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*> The test code verifies that the following residual is order 1:
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*>
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*> norm(op(A)*X + ISGN*X*op(B) - scale*C) /
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*> (EPS*max(norm(A),norm(B))*norm(X))
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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
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*> Number of examples where INFO is 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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*> \date November 2011
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*
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*> \ingroup complex_eig
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*
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* =====================================================================
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SUBROUTINE CGET35( RMAX, LMAX, NINFO, KNT, NIN )
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*
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* -- LAPACK test routine (version 3.4.0) --
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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 2011
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*
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* .. Scalar Arguments ..
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INTEGER KNT, LMAX, NIN, NINFO
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REAL RMAX
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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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INTEGER LDT
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PARAMETER ( LDT = 10 )
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REAL ZERO, ONE, TWO
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PARAMETER ( ZERO = 0.0E0, ONE = 1.0E0, TWO = 2.0E0 )
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REAL LARGE
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PARAMETER ( LARGE = 1.0E6 )
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COMPLEX CONE
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PARAMETER ( CONE = 1.0E0 )
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* ..
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* .. Local Scalars ..
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CHARACTER TRANA, TRANB
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INTEGER I, IMLA, IMLAD, IMLB, IMLC, INFO, ISGN, ITRANA,
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$ ITRANB, J, M, N
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REAL BIGNUM, EPS, RES, RES1, SCALE, SMLNUM, TNRM,
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$ XNRM
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COMPLEX RMUL
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* ..
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* .. Local Arrays ..
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REAL DUM( 1 ), VM1( 3 ), VM2( 3 )
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COMPLEX A( LDT, LDT ), ATMP( LDT, LDT ), B( LDT, LDT ),
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$ BTMP( LDT, LDT ), C( LDT, LDT ),
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$ CSAV( LDT, LDT ), CTMP( LDT, LDT )
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* ..
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* .. External Functions ..
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REAL CLANGE, SLAMCH
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EXTERNAL CLANGE, SLAMCH
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* ..
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* .. External Subroutines ..
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EXTERNAL CGEMM, CTRSYL
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC ABS, MAX, REAL, SQRT
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* ..
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* .. Executable Statements ..
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*
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* Get machine parameters
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*
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EPS = SLAMCH( 'P' )
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SMLNUM = SLAMCH( 'S' ) / EPS
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BIGNUM = ONE / SMLNUM
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CALL SLABAD( SMLNUM, BIGNUM )
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*
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* Set up test case parameters
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*
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VM1( 1 ) = SQRT( SMLNUM )
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VM1( 2 ) = ONE
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VM1( 3 ) = LARGE
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VM2( 1 ) = ONE
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VM2( 2 ) = ONE + TWO*EPS
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VM2( 3 ) = TWO
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*
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KNT = 0
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NINFO = 0
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LMAX = 0
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RMAX = ZERO
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*
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* Begin test loop
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*
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10 CONTINUE
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READ( NIN, FMT = * )M, N
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IF( N.EQ.0 )
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$ RETURN
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DO 20 I = 1, M
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READ( NIN, FMT = * )( ATMP( I, J ), J = 1, M )
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20 CONTINUE
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DO 30 I = 1, N
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READ( NIN, FMT = * )( BTMP( I, J ), J = 1, N )
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30 CONTINUE
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DO 40 I = 1, M
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READ( NIN, FMT = * )( CTMP( I, J ), J = 1, N )
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40 CONTINUE
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DO 170 IMLA = 1, 3
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DO 160 IMLAD = 1, 3
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DO 150 IMLB = 1, 3
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DO 140 IMLC = 1, 3
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DO 130 ITRANA = 1, 2
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DO 120 ITRANB = 1, 2
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DO 110 ISGN = -1, 1, 2
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IF( ITRANA.EQ.1 )
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$ TRANA = 'N'
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IF( ITRANA.EQ.2 )
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$ TRANA = 'C'
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IF( ITRANB.EQ.1 )
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$ TRANB = 'N'
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IF( ITRANB.EQ.2 )
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$ TRANB = 'C'
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TNRM = ZERO
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DO 60 I = 1, M
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DO 50 J = 1, M
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A( I, J ) = ATMP( I, J )*VM1( IMLA )
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TNRM = MAX( TNRM, ABS( A( I, J ) ) )
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50 CONTINUE
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A( I, I ) = A( I, I )*VM2( IMLAD )
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TNRM = MAX( TNRM, ABS( A( I, I ) ) )
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60 CONTINUE
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DO 80 I = 1, N
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DO 70 J = 1, N
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B( I, J ) = BTMP( I, J )*VM1( IMLB )
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TNRM = MAX( TNRM, ABS( B( I, J ) ) )
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70 CONTINUE
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80 CONTINUE
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IF( TNRM.EQ.ZERO )
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$ TNRM = ONE
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DO 100 I = 1, M
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DO 90 J = 1, N
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C( I, J ) = CTMP( I, J )*VM1( IMLC )
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CSAV( I, J ) = C( I, J )
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90 CONTINUE
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100 CONTINUE
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KNT = KNT + 1
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CALL CTRSYL( TRANA, TRANB, ISGN, M, N, A,
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$ LDT, B, LDT, C, LDT, SCALE,
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$ INFO )
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IF( INFO.NE.0 )
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$ NINFO = NINFO + 1
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XNRM = CLANGE( 'M', M, N, C, LDT, DUM )
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RMUL = CONE
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IF( XNRM.GT.ONE .AND. TNRM.GT.ONE ) THEN
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IF( XNRM.GT.BIGNUM / TNRM ) THEN
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RMUL = MAX( XNRM, TNRM )
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RMUL = CONE / RMUL
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END IF
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END IF
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CALL CGEMM( TRANA, 'N', M, N, M, RMUL, A,
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$ LDT, C, LDT, -SCALE*RMUL, CSAV,
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$ LDT )
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CALL CGEMM( 'N', TRANB, M, N, N,
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$ REAL( ISGN )*RMUL, C, LDT, B,
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$ LDT, CONE, CSAV, LDT )
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RES1 = CLANGE( 'M', M, N, CSAV, LDT, DUM )
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RES = RES1 / MAX( SMLNUM, SMLNUM*XNRM,
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$ ( ( ABS( RMUL )*TNRM )*EPS )*XNRM )
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IF( RES.GT.RMAX ) THEN
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LMAX = KNT
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RMAX = RES
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END IF
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110 CONTINUE
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120 CONTINUE
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130 CONTINUE
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140 CONTINUE
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150 CONTINUE
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160 CONTINUE
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170 CONTINUE
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GO TO 10
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*
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* End of CGET35
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*
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END
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