version 1.3, 2011/07/22 07:38:20
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version 1.13, 2023/08/07 08:39:38
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*> \brief \b ZSYSWAPR |
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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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*> \htmlonly |
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*> Download ZSYSWAPR + dependencies |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zsyswapr.f"> |
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*> [TGZ]</a> |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zsyswapr.f"> |
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*> [ZIP]</a> |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zsyswapr.f"> |
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*> [TXT]</a> |
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*> \endhtmlonly |
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* |
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* Definition: |
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* =========== |
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* |
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* SUBROUTINE ZSYSWAPR( UPLO, N, A, LDA, I1, I2) |
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* |
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* .. Scalar Arguments .. |
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* CHARACTER UPLO |
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* INTEGER I1, I2, LDA, N |
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* .. |
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* .. Array Arguments .. |
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* COMPLEX*16 A( LDA, N ) |
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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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*> ZSYSWAPR applies an elementary permutation on the rows and the columns of |
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*> a symmetric matrix. |
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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[in] UPLO |
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*> \verbatim |
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*> UPLO is CHARACTER*1 |
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*> Specifies whether the details of the factorization are stored |
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*> as an upper or lower triangular matrix. |
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*> = 'U': Upper triangular, form is A = U*D*U**T; |
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*> = 'L': Lower triangular, form is A = L*D*L**T. |
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*> \endverbatim |
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*> |
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*> \param[in] N |
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*> \verbatim |
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*> N is INTEGER |
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*> The order of the matrix A. N >= 0. |
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*> \endverbatim |
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*> |
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*> \param[in,out] A |
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*> \verbatim |
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*> A is COMPLEX*16 array, dimension (LDA,*) |
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*> On entry, the N-by-N matrix A. On exit, the permuted matrix |
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*> where the rows I1 and I2 and columns I1 and I2 are interchanged. |
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*> If UPLO = 'U', the interchanges are applied to the upper |
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*> triangular part and the strictly lower triangular part of A is |
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*> not referenced; if UPLO = 'L', the interchanges are applied to |
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*> the lower triangular part and the part of A above the diagonal |
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*> is not referenced. |
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*> \endverbatim |
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*> |
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*> \param[in] LDA |
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*> \verbatim |
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*> LDA is INTEGER |
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*> The leading dimension of the array A. LDA >= max(1,N). |
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*> \endverbatim |
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*> |
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*> \param[in] I1 |
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*> \verbatim |
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*> I1 is INTEGER |
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*> Index of the first row to swap |
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*> \endverbatim |
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*> |
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*> \param[in] I2 |
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*> \verbatim |
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*> I2 is INTEGER |
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*> Index of the second row to swap |
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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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*> \ingroup complex16SYauxiliary |
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* |
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* ===================================================================== |
SUBROUTINE ZSYSWAPR( UPLO, N, A, LDA, I1, I2) |
SUBROUTINE ZSYSWAPR( UPLO, N, A, LDA, I1, I2) |
* |
* |
* -- LAPACK auxiliary routine (version 3.3.1) -- |
* -- LAPACK auxiliary routine -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- April 2011 -- |
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* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER UPLO |
CHARACTER UPLO |
INTEGER I1, I2, LDA, N |
INTEGER I1, I2, LDA, N |
* .. |
* .. |
* .. Array Arguments .. |
* .. Array Arguments .. |
DOUBLE COMPLEX A( LDA, N ) |
COMPLEX*16 A( LDA, * ) |
* |
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* Purpose |
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* ======= |
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* |
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* ZSYSWAPR applies an elementary permutation on the rows and the columns of |
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* a symmetric matrix. |
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* |
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* Arguments |
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* ========= |
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* |
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* UPLO (input) CHARACTER*1 |
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* Specifies whether the details of the factorization are stored |
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* as an upper or lower triangular matrix. |
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* = 'U': Upper triangular, form is A = U*D*U**T; |
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* = 'L': Lower triangular, form is A = L*D*L**T. |
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* |
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* N (input) INTEGER |
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* The order of the matrix A. N >= 0. |
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* |
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* A (input/output) DOUBLE COMPLEX array, dimension (LDA,N) |
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* On entry, the NB diagonal matrix D and the multipliers |
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* used to obtain the factor U or L as computed by ZSYTRF. |
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* |
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* On exit, if INFO = 0, the (symmetric) inverse of the original |
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* matrix. If UPLO = 'U', the upper triangular part of the |
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* inverse is formed and the part of A below the diagonal is not |
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* referenced; if UPLO = 'L' the lower triangular part of the |
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* inverse is formed and the part of A above the diagonal is |
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* not referenced. |
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* |
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* LDA (input) INTEGER |
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* The leading dimension of the array A. LDA >= max(1,N). |
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* |
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* I1 (input) INTEGER |
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* Index of the first row to swap |
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* |
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* I2 (input) INTEGER |
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* Index of the second row to swap |
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* |
* |
* ===================================================================== |
* ===================================================================== |
* |
* |
* .. |
* .. |
* .. Local Scalars .. |
* .. Local Scalars .. |
LOGICAL UPPER |
LOGICAL UPPER |
INTEGER I |
COMPLEX*16 TMP |
DOUBLE COMPLEX TMP |
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* |
* |
* .. External Functions .. |
* .. External Functions .. |
LOGICAL LSAME |
LOGICAL LSAME |
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* |
* |
* UPPER |
* UPPER |
* first swap |
* first swap |
* - swap column I1 and I2 from I1 to I1-1 |
* - swap column I1 and I2 from I1 to I1-1 |
CALL ZSWAP( I1-1, A(1,I1), 1, A(1,I2), 1 ) |
CALL ZSWAP( I1-1, A(1,I1), 1, A(1,I2), 1 ) |
* |
* |
* second swap : |
* second swap : |
* - swap A(I1,I1) and A(I2,I2) |
* - swap A(I1,I1) and A(I2,I2) |
* - swap row I1 from I1+1 to I2-1 with col I2 from I1+1 to I2-1 |
* - swap row I1 from I1+1 to I2-1 with col I2 from I1+1 to I2-1 |
TMP=A(I1,I1) |
TMP=A(I1,I1) |
A(I1,I1)=A(I2,I2) |
A(I1,I1)=A(I2,I2) |
A(I2,I2)=TMP |
A(I2,I2)=TMP |
* |
* |
DO I=1,I2-I1-1 |
CALL ZSWAP( I2-I1-1, A(I1,I1+1), LDA, A(I1+1,I2), 1 ) |
TMP=A(I1,I1+I) |
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A(I1,I1+I)=A(I1+I,I2) |
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A(I1+I,I2)=TMP |
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END DO |
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* |
* |
* third swap |
* third swap |
* - swap row I1 and I2 from I2+1 to N |
* - swap row I1 and I2 from I2+1 to N |
DO I=I2+1,N |
IF ( I2.LT.N ) |
TMP=A(I1,I) |
$ CALL ZSWAP( N-I2, A(I1,I2+1), LDA, A(I2,I2+1), LDA ) |
A(I1,I)=A(I2,I) |
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A(I2,I)=TMP |
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END DO |
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* |
* |
ELSE |
ELSE |
* |
* |
* LOWER |
* LOWER |
* first swap |
* first swap |
* - swap row I1 and I2 from I1 to I1-1 |
* - swap row I1 and I2 from I1 to I1-1 |
CALL ZSWAP( I1-1, A(I1,1), LDA, A(I2,1), LDA ) |
CALL ZSWAP( I1-1, A(I1,1), LDA, A(I2,1), LDA ) |
* |
* |
* second swap : |
* second swap : |
* - swap A(I1,I1) and A(I2,I2) |
* - swap A(I1,I1) and A(I2,I2) |
* - swap col I1 from I1+1 to I2-1 with row I2 from I1+1 to I2-1 |
* - swap col I1 from I1+1 to I2-1 with row I2 from I1+1 to I2-1 |
TMP=A(I1,I1) |
TMP=A(I1,I1) |
A(I1,I1)=A(I2,I2) |
A(I1,I1)=A(I2,I2) |
A(I2,I2)=TMP |
A(I2,I2)=TMP |
* |
* |
DO I=1,I2-I1-1 |
CALL ZSWAP( I2-I1-1, A(I1+1,I1), 1, A(I2,I1+1), LDA ) |
TMP=A(I1+I,I1) |
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A(I1+I,I1)=A(I2,I1+I) |
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A(I2,I1+I)=TMP |
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END DO |
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* |
* |
* third swap |
* third swap |
* - swap col I1 and I2 from I2+1 to N |
* - swap col I1 and I2 from I2+1 to N |
DO I=I2+1,N |
IF ( I2.LT.N ) |
TMP=A(I,I1) |
$ CALL ZSWAP( N-I2, A(I2+1,I1), 1, A(I2+1,I2), 1 ) |
A(I,I1)=A(I,I2) |
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A(I,I2)=TMP |
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END DO |
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* |
* |
ENDIF |
ENDIF |
END SUBROUTINE ZSYSWAPR |
END SUBROUTINE ZSYSWAPR |