Annotation of rpl/lapack/lapack/zsyswapr.f, revision 1.2

1.1       bertrand    1:       SUBROUTINE ZSYSWAPR( UPLO, N, A, I1, I2)
                      2: *
                      3: *  -- LAPACK auxiliary routine (version 3.3.0) --
                      4: *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
                      5: *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
                      6: *     November 2010
                      7: *
                      8: *     .. Scalar Arguments ..
                      9:       CHARACTER        UPLO
                     10:       INTEGER          I1, I2, N
                     11: *     ..
                     12: *     .. Array Arguments ..
                     13:       DOUBLE COMPLEX   A(N,N)
                     14: *
                     15: *  Purpose
                     16: *  =======
                     17: *
                     18: *  ZSYSWAPR applies an elementary permutation on the rows and the columns of
                     19: *  a symmetric matrix.
                     20: *
                     21: *  Arguments
                     22: *  =========
                     23: *
                     24: *  UPLO    (input) CHARACTER*1
                     25: *          Specifies whether the details of the factorization are stored
                     26: *          as an upper or lower triangular matrix.
                     27: *          = 'U':  Upper triangular, form is A = U*D*U**T;
                     28: *          = 'L':  Lower triangular, form is A = L*D*L**T.
                     29: *
                     30: *  N       (input) INTEGER
                     31: *          The order of the matrix A.  N >= 0.
                     32: *
                     33: *  A       (input/output) DOUBLE COMPLEX array, dimension (LDA,N)
                     34: *          On entry, the NB diagonal matrix D and the multipliers
                     35: *          used to obtain the factor U or L as computed by ZSYTRF.
                     36: *
                     37: *          On exit, if INFO = 0, the (symmetric) inverse of the original
                     38: *          matrix.  If UPLO = 'U', the upper triangular part of the
                     39: *          inverse is formed and the part of A below the diagonal is not
                     40: *          referenced; if UPLO = 'L' the lower triangular part of the
                     41: *          inverse is formed and the part of A above the diagonal is
                     42: *          not referenced.
                     43: *
                     44: *  I1      (input) INTEGER
                     45: *          Index of the first row to swap
                     46: *
                     47: *  I2      (input) INTEGER
                     48: *          Index of the second row to swap
                     49: *
                     50: *  =====================================================================
                     51: *
                     52: *     ..
                     53: *     .. Local Scalars ..
                     54:       LOGICAL            UPPER
                     55:       INTEGER            I
                     56:       DOUBLE COMPLEX     TMP
                     57: *
                     58: *     .. External Functions ..
                     59:       LOGICAL            LSAME
                     60:       EXTERNAL           LSAME
                     61: *     ..
                     62: *     .. External Subroutines ..
                     63:       EXTERNAL           ZSWAP
                     64: *     ..
                     65: *     .. Executable Statements ..
                     66: *
                     67:       UPPER = LSAME( UPLO, 'U' )
                     68:       IF (UPPER) THEN
                     69: *
                     70: *         UPPER
                     71: *         first swap
                     72: *          - swap column I1 and I2 from I1 to I1-1 
                     73:          CALL ZSWAP( I1-1, A(1,I1), 1, A(1,I2), 1 )
                     74: *
                     75: *          second swap :
                     76: *          - swap A(I1,I1) and A(I2,I2)
                     77: *          - swap row I1 from I1+1 to I2-1 with col I2 from I1+1 to I2-1     
                     78:          TMP=A(I1,I1)
                     79:          A(I1,I1)=A(I2,I2)
                     80:          A(I2,I2)=TMP
                     81: *
                     82:          DO I=1,I2-I1-1
                     83:             TMP=A(I1,I1+I)
                     84:             A(I1,I1+I)=A(I1+I,I2)
                     85:             A(I1+I,I2)=TMP
                     86:          END DO
                     87: *
                     88: *          third swap
                     89: *          - swap row I1 and I2 from I2+1 to N
                     90:          DO I=I2+1,N
                     91:             TMP=A(I1,I)
                     92:             A(I1,I)=A(I2,I)
                     93:             A(I2,I)=TMP
                     94:          END DO
                     95: *
                     96:         ELSE
                     97: *
                     98: *         LOWER
                     99: *         first swap
                    100: *          - swap row I1 and I2 from I1 to I1-1 
                    101:          CALL ZSWAP( I1-1, A(I1,1), N, A(I2,1), N )
                    102: *
                    103: *         second swap :
                    104: *          - swap A(I1,I1) and A(I2,I2)
                    105: *          - swap col I1 from I1+1 to I2-1 with row I2 from I1+1 to I2-1     
                    106:           TMP=A(I1,I1)
                    107:           A(I1,I1)=A(I2,I2)
                    108:           A(I2,I2)=TMP
                    109: *
                    110:           DO I=1,I2-I1-1
                    111:              TMP=A(I1+I,I1)
                    112:              A(I1+I,I1)=A(I2,I1+I)
                    113:              A(I2,I1+I)=TMP
                    114:           END DO
                    115: *
                    116: *         third swap
                    117: *          - swap col I1 and I2 from I2+1 to N
                    118:           DO I=I2+1,N
                    119:              TMP=A(I,I1)
                    120:              A(I,I1)=A(I,I2)
                    121:              A(I,I2)=TMP
                    122:           END DO
                    123: *
                    124:       ENDIF
                    125:       END SUBROUTINE ZSYSWAPR
                    126: 

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