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LAPACK
3.4.1
LAPACK: Linear Algebra PACKage
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00001 *> \brief \b CCHKGL 00002 * 00003 * =========== DOCUMENTATION =========== 00004 * 00005 * Online html documentation available at 00006 * http://www.netlib.org/lapack/explore-html/ 00007 * 00008 * Definition: 00009 * =========== 00010 * 00011 * SUBROUTINE CCHKGL( NIN, NOUT ) 00012 * 00013 * .. Scalar Arguments .. 00014 * INTEGER NIN, NOUT 00015 * .. 00016 * 00017 * 00018 *> \par Purpose: 00019 * ============= 00020 *> 00021 *> \verbatim 00022 *> 00023 *> CCHKGL tests CGGBAL, a routine for balancing a matrix pair (A, B). 00024 *> \endverbatim 00025 * 00026 * Arguments: 00027 * ========== 00028 * 00029 *> \param[in] NIN 00030 *> \verbatim 00031 *> NIN is INTEGER 00032 *> The logical unit number for input. NIN > 0. 00033 *> \endverbatim 00034 *> 00035 *> \param[in] NOUT 00036 *> \verbatim 00037 *> NOUT is INTEGER 00038 *> The logical unit number for output. NOUT > 0. 00039 *> \endverbatim 00040 * 00041 * Authors: 00042 * ======== 00043 * 00044 *> \author Univ. of Tennessee 00045 *> \author Univ. of California Berkeley 00046 *> \author Univ. of Colorado Denver 00047 *> \author NAG Ltd. 00048 * 00049 *> \date November 2011 00050 * 00051 *> \ingroup complex_eig 00052 * 00053 * ===================================================================== 00054 SUBROUTINE CCHKGL( NIN, NOUT ) 00055 * 00056 * -- LAPACK test routine (version 3.4.0) -- 00057 * -- LAPACK is a software package provided by Univ. of Tennessee, -- 00058 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 00059 * November 2011 00060 * 00061 * .. Scalar Arguments .. 00062 INTEGER NIN, NOUT 00063 * .. 00064 * 00065 * ===================================================================== 00066 * 00067 * .. Parameters .. 00068 INTEGER LDA, LDB, LWORK 00069 PARAMETER ( LDA = 20, LDB = 20, LWORK = 6*LDA ) 00070 REAL ZERO 00071 PARAMETER ( ZERO = 0.0E+0 ) 00072 * .. 00073 * .. Local Scalars .. 00074 INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N, 00075 $ NINFO 00076 REAL ANORM, BNORM, EPS, RMAX, VMAX 00077 * .. 00078 * .. Local Arrays .. 00079 INTEGER LMAX( 3 ) 00080 REAL LSCALE( LDA ), LSCLIN( LDA ), RSCALE( LDA ), 00081 $ RSCLIN( LDA ), WORK( LWORK ) 00082 COMPLEX A( LDA, LDA ), AIN( LDA, LDA ), B( LDB, LDB ), 00083 $ BIN( LDB, LDB ) 00084 * .. 00085 * .. External Functions .. 00086 REAL CLANGE, SLAMCH 00087 EXTERNAL CLANGE, SLAMCH 00088 * .. 00089 * .. External Subroutines .. 00090 EXTERNAL CGGBAL 00091 * .. 00092 * .. Intrinsic Functions .. 00093 INTRINSIC ABS, MAX 00094 * .. 00095 * .. Executable Statements .. 00096 * 00097 LMAX( 1 ) = 0 00098 LMAX( 2 ) = 0 00099 LMAX( 3 ) = 0 00100 NINFO = 0 00101 KNT = 0 00102 RMAX = ZERO 00103 * 00104 EPS = SLAMCH( 'Precision' ) 00105 * 00106 10 CONTINUE 00107 * 00108 READ( NIN, FMT = * )N 00109 IF( N.EQ.0 ) 00110 $ GO TO 90 00111 DO 20 I = 1, N 00112 READ( NIN, FMT = * )( A( I, J ), J = 1, N ) 00113 20 CONTINUE 00114 * 00115 DO 30 I = 1, N 00116 READ( NIN, FMT = * )( B( I, J ), J = 1, N ) 00117 30 CONTINUE 00118 * 00119 READ( NIN, FMT = * )ILOIN, IHIIN 00120 DO 40 I = 1, N 00121 READ( NIN, FMT = * )( AIN( I, J ), J = 1, N ) 00122 40 CONTINUE 00123 DO 50 I = 1, N 00124 READ( NIN, FMT = * )( BIN( I, J ), J = 1, N ) 00125 50 CONTINUE 00126 * 00127 READ( NIN, FMT = * )( LSCLIN( I ), I = 1, N ) 00128 READ( NIN, FMT = * )( RSCLIN( I ), I = 1, N ) 00129 * 00130 ANORM = CLANGE( 'M', N, N, A, LDA, WORK ) 00131 BNORM = CLANGE( 'M', N, N, B, LDB, WORK ) 00132 * 00133 KNT = KNT + 1 00134 * 00135 CALL CGGBAL( 'B', N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE, 00136 $ WORK, INFO ) 00137 * 00138 IF( INFO.NE.0 ) THEN 00139 NINFO = NINFO + 1 00140 LMAX( 1 ) = KNT 00141 END IF 00142 * 00143 IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN 00144 NINFO = NINFO + 1 00145 LMAX( 2 ) = KNT 00146 END IF 00147 * 00148 VMAX = ZERO 00149 DO 70 I = 1, N 00150 DO 60 J = 1, N 00151 VMAX = MAX( VMAX, ABS( A( I, J )-AIN( I, J ) ) ) 00152 VMAX = MAX( VMAX, ABS( B( I, J )-BIN( I, J ) ) ) 00153 60 CONTINUE 00154 70 CONTINUE 00155 * 00156 DO 80 I = 1, N 00157 VMAX = MAX( VMAX, ABS( LSCALE( I )-LSCLIN( I ) ) ) 00158 VMAX = MAX( VMAX, ABS( RSCALE( I )-RSCLIN( I ) ) ) 00159 80 CONTINUE 00160 * 00161 VMAX = VMAX / ( EPS*MAX( ANORM, BNORM ) ) 00162 * 00163 IF( VMAX.GT.RMAX ) THEN 00164 LMAX( 3 ) = KNT 00165 RMAX = VMAX 00166 END IF 00167 * 00168 GO TO 10 00169 * 00170 90 CONTINUE 00171 * 00172 WRITE( NOUT, FMT = 9999 ) 00173 9999 FORMAT( ' .. test output of CGGBAL .. ' ) 00174 * 00175 WRITE( NOUT, FMT = 9998 )RMAX 00176 9998 FORMAT( ' ratio of largest test error = ', E12.3 ) 00177 WRITE( NOUT, FMT = 9997 )LMAX( 1 ) 00178 9997 FORMAT( ' example number where info is not zero = ', I4 ) 00179 WRITE( NOUT, FMT = 9996 )LMAX( 2 ) 00180 9996 FORMAT( ' example number where ILO or IHI is wrong = ', I4 ) 00181 WRITE( NOUT, FMT = 9995 )LMAX( 3 ) 00182 9995 FORMAT( ' example number having largest error = ', I4 ) 00183 WRITE( NOUT, FMT = 9994 )NINFO 00184 9994 FORMAT( ' number of examples where info is not 0 = ', I4 ) 00185 WRITE( NOUT, FMT = 9993 )KNT 00186 9993 FORMAT( ' total number of examples tested = ', I4 ) 00187 * 00188 RETURN 00189 * 00190 * End of CCHKGL 00191 * 00192 END