dchkbd.f

来自「famous linear algebra library (LAPACK) p」· F 代码 · 共 969 行 · 第 1/3 页

* ======================================================================
*
*     .. Parameters ..
      DOUBLE PRECISION   ZERO, ONE, TWO, HALF
      PARAMETER          ( ZERO = 0.0D0, ONE = 1.0D0, TWO = 2.0D0,
     $                   HALF = 0.5D0 )
      INTEGER            MAXTYP
      PARAMETER          ( MAXTYP = 16 )
*     ..
*     .. Local Scalars ..
      LOGICAL            BADMM, BADNN, BIDIAG
      CHARACTER          UPLO
      CHARACTER*3        PATH
      INTEGER            I, IINFO, IMODE, ITYPE, J, JCOL, JSIZE, JTYPE,
     $                   LOG2UI, M, MINWRK, MMAX, MNMAX, MNMIN, MQ,
     $                   MTYPES, N, NFAIL, NMAX, NTEST
      DOUBLE PRECISION   AMNINV, ANORM, COND, OVFL, RTOVFL, RTUNFL,
     $                   TEMP1, TEMP2, ULP, ULPINV, UNFL
*     ..
*     .. Local Arrays ..
      INTEGER            IDUM( 1 ), IOLDSD( 4 ), KMAGN( MAXTYP ),
     $                   KMODE( MAXTYP ), KTYPE( MAXTYP )
      DOUBLE PRECISION   DUM( 1 ), DUMMA( 1 ), RESULT( 19 )
*     ..
*     .. External Functions ..
      DOUBLE PRECISION   DLAMCH, DLARND
      EXTERNAL           DLAMCH, DLARND
*     ..
*     .. External Subroutines ..
      EXTERNAL           ALASUM, DBDSDC, DBDSQR, DBDT01, DBDT02, DBDT03,
     $                   DCOPY, DGEBRD, DGEMM, DLABAD, DLACPY, DLAHD2,
     $                   DLASET, DLATMR, DLATMS, DORGBR, DORT01, XERBLA
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          ABS, EXP, INT, LOG, MAX, MIN, SQRT
*     ..
*     .. Scalars in Common ..
      LOGICAL            LERR, OK
      CHARACTER*6        SRNAMT
      INTEGER            INFOT, NUNIT
*     ..
*     .. Common blocks ..
      COMMON             / INFOC / INFOT, NUNIT, OK, LERR
      COMMON             / SRNAMC / SRNAMT
*     ..
*     .. Data statements ..
      DATA               KTYPE / 1, 2, 5*4, 5*6, 3*9, 10 /
      DATA               KMAGN / 2*1, 3*1, 2, 3, 3*1, 2, 3, 1, 2, 3, 0 /
      DATA               KMODE / 2*0, 4, 3, 1, 4, 4, 4, 3, 1, 4, 4, 0,
     $                   0, 0, 0 /
*     ..
*     .. Executable Statements ..
*
*     Check for errors
*
      INFO = 0
*
      BADMM = .FALSE.
      BADNN = .FALSE.
      MMAX = 1
      NMAX = 1
      MNMAX = 1
      MINWRK = 1
      DO 10 J = 1, NSIZES
         MMAX = MAX( MMAX, MVAL( J ) )
         IF( MVAL( J ).LT.0 )
     $      BADMM = .TRUE.
         NMAX = MAX( NMAX, NVAL( J ) )
         IF( NVAL( J ).LT.0 )
     $      BADNN = .TRUE.
         MNMAX = MAX( MNMAX, MIN( MVAL( J ), NVAL( J ) ) )
         MINWRK = MAX( MINWRK, 3*( MVAL( J )+NVAL( J ) ),
     $            MVAL( J )*( MVAL( J )+MAX( MVAL( J ), NVAL( J ),
     $            NRHS )+1 )+NVAL( J )*MIN( NVAL( J ), MVAL( J ) ) )
   10 CONTINUE
*
*     Check for errors
*
      IF( NSIZES.LT.0 ) THEN
         INFO = -1
      ELSE IF( BADMM ) THEN
         INFO = -2
      ELSE IF( BADNN ) THEN
         INFO = -3
      ELSE IF( NTYPES.LT.0 ) THEN
         INFO = -4
      ELSE IF( NRHS.LT.0 ) THEN
         INFO = -6
      ELSE IF( LDA.LT.MMAX ) THEN
         INFO = -11
      ELSE IF( LDX.LT.MMAX ) THEN
         INFO = -17
      ELSE IF( LDQ.LT.MMAX ) THEN
         INFO = -21
      ELSE IF( LDPT.LT.MNMAX ) THEN
         INFO = -23
      ELSE IF( MINWRK.GT.LWORK ) THEN
         INFO = -27
      END IF
*
      IF( INFO.NE.0 ) THEN
         CALL XERBLA( 'DCHKBD', -INFO )
         RETURN
      END IF
*
*     Initialize constants
*
      PATH( 1: 1 ) = 'Double precision'
      PATH( 2: 3 ) = 'BD'
      NFAIL = 0
      NTEST = 0
      UNFL = DLAMCH( 'Safe minimum' )
      OVFL = DLAMCH( 'Overflow' )
      CALL DLABAD( UNFL, OVFL )
      ULP = DLAMCH( 'Precision' )
      ULPINV = ONE / ULP
      LOG2UI = INT( LOG( ULPINV ) / LOG( TWO ) )
      RTUNFL = SQRT( UNFL )
      RTOVFL = SQRT( OVFL )
      INFOT = 0
*
*     Loop over sizes, types
*
      DO 200 JSIZE = 1, NSIZES
         M = MVAL( JSIZE )
         N = NVAL( JSIZE )
         MNMIN = MIN( M, N )
         AMNINV = ONE / MAX( M, N, 1 )
*
         IF( NSIZES.NE.1 ) THEN
            MTYPES = MIN( MAXTYP, NTYPES )
         ELSE
            MTYPES = MIN( MAXTYP+1, NTYPES )
         END IF
*
         DO 190 JTYPE = 1, MTYPES
            IF( .NOT.DOTYPE( JTYPE ) )
     $         GO TO 190
*
            DO 20 J = 1, 4
               IOLDSD( J ) = ISEED( J )
   20       CONTINUE
*
            DO 30 J = 1, 14
               RESULT( J ) = -ONE
   30       CONTINUE
*
            UPLO = ' '
*
*           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/ eigenvalues)
*       =5         random       symmetric, w/ eigenvalues
*       =6                      nonsymmetric, w/ singular values
*       =7                      random diagonal
*       =8                      random symmetric
*       =9                      random nonsymmetric
*       =10                     random bidiagonal (log. distrib.)
*
            IF( MTYPES.GT.MAXTYP )
     $         GO TO 100
*
            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 )
            IINFO = 0
            COND = ULPINV
*
            BIDIAG = .FALSE.
            IF( ITYPE.EQ.1 ) THEN
*
*              Zero matrix
*
               IINFO = 0
*
            ELSE IF( ITYPE.EQ.2 ) THEN
*
*              Identity
*
               DO 80 JCOL = 1, MNMIN
                  A( JCOL, JCOL ) = ANORM
   80          CONTINUE
*
            ELSE IF( ITYPE.EQ.4 ) THEN
*
*              Diagonal Matrix, [Eigen]values Specified
*
               CALL DLATMS( MNMIN, MNMIN, 'S', ISEED, 'N', WORK, IMODE,
     $                      COND, ANORM, 0, 0, 'N', A, LDA,
     $                      WORK( MNMIN+1 ), IINFO )
*
            ELSE IF( ITYPE.EQ.5 ) THEN
*
*              Symmetric, eigenvalues specified
*
               CALL DLATMS( MNMIN, MNMIN, 'S', ISEED, 'S', WORK, IMODE,
     $                      COND, ANORM, M, N, 'N', A, LDA,
     $                      WORK( MNMIN+1 ), IINFO )
*
            ELSE IF( ITYPE.EQ.6 ) THEN
*
*              Nonsymmetric, singular values specified
*
               CALL DLATMS( M, N, 'S', ISEED, 'N', WORK, IMODE, COND,
     $                      ANORM, M, N, 'N', A, LDA, WORK( MNMIN+1 ),
     $                      IINFO )
*
            ELSE IF( ITYPE.EQ.7 ) THEN
*
*              Diagonal, random entries
*
               CALL DLATMR( MNMIN, MNMIN, 'S', ISEED, 'N', WORK, 6, ONE,
     $                      ONE, 'T', 'N', WORK( MNMIN+1 ), 1, ONE,
     $                      WORK( 2*MNMIN+1 ), 1, ONE, 'N', IWORK, 0, 0,
     $                      ZERO, ANORM, 'NO', A, LDA, IWORK, IINFO )
*
            ELSE IF( ITYPE.EQ.8 ) THEN
*
*              Symmetric, random entries
*
               CALL DLATMR( MNMIN, MNMIN, 'S', ISEED, 'S', WORK, 6, ONE,
     $                      ONE, 'T', 'N', WORK( MNMIN+1 ), 1, ONE,
     $                      WORK( M+MNMIN+1 ), 1, ONE, 'N', IWORK, M, N,
     $                      ZERO, ANORM, 'NO', A, LDA, IWORK, IINFO )
*
            ELSE IF( ITYPE.EQ.9 ) THEN
*
*              Nonsymmetric, random entries
*
               CALL DLATMR( M, N, 'S', ISEED, 'N', WORK, 6, ONE, ONE,
     $                      'T', 'N', WORK( MNMIN+1 ), 1, ONE,
     $                      WORK( M+MNMIN+1 ), 1, ONE, 'N', IWORK, M, N,
     $                      ZERO, ANORM, 'NO', A, LDA, IWORK, IINFO )
*
            ELSE IF( ITYPE.EQ.10 ) THEN
*
*              Bidiagonal, random entries
*
               TEMP1 = -TWO*LOG( ULP )
               DO 90 J = 1, MNMIN
                  BD( J ) = EXP( TEMP1*DLARND( 2, ISEED ) )
                  IF( J.LT.MNMIN )
     $               BE( J ) = EXP( TEMP1*DLARND( 2, ISEED ) )
   90          CONTINUE
*
               IINFO = 0
               BIDIAG = .TRUE.
               IF( M.GE.N ) THEN
                  UPLO = 'U'
               ELSE
                  UPLO = 'L'
               END IF
            ELSE
               IINFO = 1
            END IF
*
            IF( IINFO.EQ.0 ) THEN
*
*              Generate Right-Hand Side
*
               IF( BIDIAG ) THEN
                  CALL DLATMR( MNMIN, NRHS, 'S', ISEED, 'N', WORK, 6,
     $                         ONE, ONE, 'T', 'N', WORK( MNMIN+1 ), 1,
     $                         ONE, WORK( 2*MNMIN+1 ), 1, ONE, 'N',
     $                         IWORK, MNMIN, NRHS, ZERO, ONE, 'NO', Y,
     $                         LDX, IWORK, IINFO )
               ELSE
                  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', IWORK, M,
     $                         NRHS, ZERO, ONE, 'NO', X, LDX, IWORK,
     $                         IINFO )
               END IF
            END IF
*
*           Error Exit
*
            IF( IINFO.NE.0 ) THEN
               WRITE( NOUT, FMT = 9998 )'Generator', IINFO, M, N,
     $            JTYPE, IOLDSD
               INFO = ABS( IINFO )
               RETURN
            END IF
*
  100       CONTINUE
*
*           Call DGEBRD and DORGBR to compute B, Q, and P, do tests.
*
            IF( .NOT.BIDIAG ) THEN
*
*              Compute transformations to reduce A to bidiagonal form:
*              B := Q' * A * P.
*
               CALL DLACPY( ' ', M, N, A, LDA, Q, LDQ )
               CALL DGEBRD( M, N, Q, LDQ, BD, BE, WORK, WORK( MNMIN+1 ),
     $                      WORK( 2*MNMIN+1 ), LWORK-2*MNMIN, IINFO )
*
*              Check error code from DGEBRD.