OpenBLAS/lapack-netlib/SRC/csyconv.f

*> \brief \b CSYCONV
*
*  =========== DOCUMENTATION ===========
*
* Online html documentation available at
*            http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
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*> [TXT]</a>
*> \endhtmlonly
*
*  Definition:
*  ===========
*
*       SUBROUTINE CSYCONV( UPLO, WAY, N, A, LDA, IPIV, E, INFO )
*
*       .. Scalar Arguments ..
*       CHARACTER          UPLO, WAY
*       INTEGER            INFO, LDA, N
*       ..
*       .. Array Arguments ..
*       INTEGER            IPIV( * )
*       COMPLEX            A( LDA, * ), E( * )
*       ..
*
*
*> \par Purpose:
*  =============
*>
*> \verbatim
*>
*> CSYCONV convert A given by TRF into L and D and vice-versa.
*> Get Non-diag elements of D (returned in workspace) and
*> apply or reverse permutation done in TRF.
*> \endverbatim
*
*  Arguments:
*  ==========
*
*> \param[in] UPLO
*> \verbatim
*>          UPLO is CHARACTER*1
*>          Specifies whether the details of the factorization are stored
*>          as an upper or lower triangular matrix.
*>          = 'U':  Upper triangular, form is A = U*D*U**T;
*>          = 'L':  Lower triangular, form is A = L*D*L**T.
*> \endverbatim
*>
*> \param[in] WAY
*> \verbatim
*>          WAY is CHARACTER*1
*>          = 'C': Convert
*>          = 'R': Revert
*> \endverbatim
*>
*> \param[in] N
*> \verbatim
*>          N is INTEGER
*>          The order of the matrix A.  N >= 0.
*> \endverbatim
*>
*> \param[in,out] A
*> \verbatim
*>          A is COMPLEX array, dimension (LDA,N)
*>          The block diagonal matrix D and the multipliers used to
*>          obtain the factor U or L as computed by CSYTRF.
*> \endverbatim
*>
*> \param[in] LDA
*> \verbatim
*>          LDA is INTEGER
*>          The leading dimension of the array A.  LDA >= max(1,N).
*> \endverbatim
*>
*> \param[in] IPIV
*> \verbatim
*>          IPIV is INTEGER array, dimension (N)
*>          Details of the interchanges and the block structure of D
*>          as determined by CSYTRF.
*> \endverbatim
*>
*> \param[out] E
*> \verbatim
*>          E is COMPLEX array, dimension (N)
*>          E stores the supdiagonal/subdiagonal of the symmetric 1-by-1
*>          or 2-by-2 block diagonal matrix D in LDLT.
*> \endverbatim
*>
*> \param[out] INFO
*> \verbatim
*>          INFO is INTEGER
*>          = 0:  successful exit
*>          < 0:  if INFO = -i, the i-th argument had an illegal value
*> \endverbatim
*
*  Authors:
*  ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date December 2016
*
*> \ingroup complexSYcomputational
*
*  =====================================================================
      SUBROUTINE CSYCONV( UPLO, WAY, N, A, LDA, IPIV, E, INFO )
*
*  -- LAPACK computational routine (version 3.7.0) --
*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*     December 2016
*
*     .. Scalar Arguments ..
      CHARACTER          UPLO, WAY
      INTEGER            INFO, LDA, N
*     ..
*     .. Array Arguments ..
      INTEGER            IPIV( * )
      COMPLEX            A( LDA, * ), E( * )
*     ..
*
*  =====================================================================
*
*     .. Parameters ..
      COMPLEX            ZERO
      PARAMETER          ( ZERO = (0.0E+0,0.0E+0) )
*     ..
*     .. External Functions ..
      LOGICAL            LSAME
      EXTERNAL           LSAME
*
*     .. External Subroutines ..
      EXTERNAL           XERBLA
*     .. Local Scalars ..
      LOGICAL            UPPER, CONVERT
      INTEGER            I, IP, J
      COMPLEX            TEMP
*     ..
*     .. Executable Statements ..
*
      INFO = 0
      UPPER = LSAME( UPLO, 'U' )
      CONVERT = LSAME( WAY, 'C' )
      IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
         INFO = -1
      ELSE IF( .NOT.CONVERT .AND. .NOT.LSAME( WAY, 'R' ) ) THEN
         INFO = -2
      ELSE IF( N.LT.0 ) THEN
         INFO = -3
      ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
         INFO = -5

      END IF
      IF( INFO.NE.0 ) THEN
         CALL XERBLA( 'CSYCONV', -INFO )
         RETURN
      END IF
*
*     Quick return if possible
*
      IF( N.EQ.0 )
     $   RETURN
*
      IF( UPPER ) THEN
*
*      A is UPPER
*
*      Convert A (A is upper)
*
*        Convert VALUE
*
         IF ( CONVERT ) THEN
            I=N
            E(1)=ZERO
            DO WHILE ( I .GT. 1 )
               IF( IPIV(I) .LT. 0 ) THEN
                  E(I)=A(I-1,I)
                  E(I-1)=ZERO
                  A(I-1,I)=ZERO
                  I=I-1
               ELSE
                  E(I)=ZERO
               ENDIF
               I=I-1
            END DO
*
*        Convert PERMUTATIONS
*
         I=N
         DO WHILE ( I .GE. 1 )
            IF( IPIV(I) .GT. 0) THEN
               IP=IPIV(I)
               IF( I .LT. N) THEN
                  DO 12 J= I+1,N
                    TEMP=A(IP,J)
                    A(IP,J)=A(I,J)
                    A(I,J)=TEMP
 12            CONTINUE
               ENDIF
            ELSE
              IP=-IPIV(I)
               IF( I .LT. N) THEN
             DO 13 J= I+1,N
                 TEMP=A(IP,J)
                 A(IP,J)=A(I-1,J)
                 A(I-1,J)=TEMP
 13            CONTINUE
                ENDIF
                I=I-1
           ENDIF
           I=I-1
        END DO

         ELSE
*
*      Revert A (A is upper)
*
*
*        Revert PERMUTATIONS
*
            I=1
            DO WHILE ( I .LE. N )
               IF( IPIV(I) .GT. 0 ) THEN
                  IP=IPIV(I)
                  IF( I .LT. N) THEN
                  DO J= I+1,N
                    TEMP=A(IP,J)
                    A(IP,J)=A(I,J)
                    A(I,J)=TEMP
                  END DO
                  ENDIF
               ELSE
                 IP=-IPIV(I)
                 I=I+1
                 IF( I .LT. N) THEN
                    DO J= I+1,N
                       TEMP=A(IP,J)
                       A(IP,J)=A(I-1,J)
                       A(I-1,J)=TEMP
                    END DO
                 ENDIF
               ENDIF
               I=I+1
            END DO
*
*        Revert VALUE
*
            I=N
            DO WHILE ( I .GT. 1 )
               IF( IPIV(I) .LT. 0 ) THEN
                  A(I-1,I)=E(I)
                  I=I-1
               ENDIF
               I=I-1
            END DO
         END IF
      ELSE
*
*      A is LOWER
*
         IF ( CONVERT ) THEN
*
*      Convert A (A is lower)
*
*
*        Convert VALUE
*
            I=1
            E(N)=ZERO
            DO WHILE ( I .LE. N )
               IF( I.LT.N .AND. IPIV(I) .LT. 0 ) THEN
                  E(I)=A(I+1,I)
                  E(I+1)=ZERO
                  A(I+1,I)=ZERO
                  I=I+1
               ELSE
                  E(I)=ZERO
               ENDIF
               I=I+1
            END DO
*
*        Convert PERMUTATIONS
*
         I=1
         DO WHILE ( I .LE. N )
            IF( IPIV(I) .GT. 0 ) THEN
               IP=IPIV(I)
               IF (I .GT. 1) THEN
               DO 22 J= 1,I-1
                 TEMP=A(IP,J)
                 A(IP,J)=A(I,J)
                 A(I,J)=TEMP
 22            CONTINUE
               ENDIF
            ELSE
              IP=-IPIV(I)
              IF (I .GT. 1) THEN
              DO 23 J= 1,I-1
                 TEMP=A(IP,J)
                 A(IP,J)=A(I+1,J)
                 A(I+1,J)=TEMP
 23           CONTINUE
              ENDIF
              I=I+1
           ENDIF
           I=I+1
        END DO
         ELSE
*
*      Revert A (A is lower)
*
*
*        Revert PERMUTATIONS
*
            I=N
            DO WHILE ( I .GE. 1 )
               IF( IPIV(I) .GT. 0 ) THEN
                  IP=IPIV(I)
                  IF (I .GT. 1) THEN
                     DO J= 1,I-1
                        TEMP=A(I,J)
                        A(I,J)=A(IP,J)
                        A(IP,J)=TEMP
                     END DO
                  ENDIF
               ELSE
                  IP=-IPIV(I)
                  I=I-1
                  IF (I .GT. 1) THEN
                     DO J= 1,I-1
                        TEMP=A(I+1,J)
                        A(I+1,J)=A(IP,J)
                        A(IP,J)=TEMP
                     END DO
                  ENDIF
               ENDIF
               I=I-1
            END DO
*
*        Revert VALUE
*
            I=1
            DO WHILE ( I .LE. N-1 )
               IF( IPIV(I) .LT. 0 ) THEN
                  A(I+1,I)=E(I)
                  I=I+1
               ENDIF
               I=I+1
            END DO
         END IF
      END IF

      RETURN
*
*     End of CSYCONV
*
      END