--- rpl/lapack/lapack/zsyswapr.f 2010/12/21 13:53:56 1.2 +++ rpl/lapack/lapack/zsyswapr.f 2023/08/07 08:39:38 1.13 @@ -1,59 +1,120 @@ - SUBROUTINE ZSYSWAPR( UPLO, N, A, I1, I2) +*> \brief \b ZSYSWAPR * -* -- LAPACK auxiliary routine (version 3.3.0) -- +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZSYSWAPR + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZSYSWAPR( UPLO, N, A, LDA, I1, I2) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER I1, I2, LDA, N +* .. +* .. Array Arguments .. +* COMPLEX*16 A( LDA, N ) +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZSYSWAPR applies an elementary permutation on the rows and the columns of +*> a symmetric matrix. +*> \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] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in,out] A +*> \verbatim +*> A is COMPLEX*16 array, dimension (LDA,*) +*> On entry, the N-by-N matrix A. On exit, the permuted matrix +*> where the rows I1 and I2 and columns I1 and I2 are interchanged. +*> If UPLO = 'U', the interchanges are applied to the upper +*> triangular part and the strictly lower triangular part of A is +*> not referenced; if UPLO = 'L', the interchanges are applied to +*> the lower triangular part and the part of A above the diagonal +*> is not referenced. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= max(1,N). +*> \endverbatim +*> +*> \param[in] I1 +*> \verbatim +*> I1 is INTEGER +*> Index of the first row to swap +*> \endverbatim +*> +*> \param[in] I2 +*> \verbatim +*> I2 is INTEGER +*> Index of the second row to swap +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \ingroup complex16SYauxiliary +* +* ===================================================================== + SUBROUTINE ZSYSWAPR( UPLO, N, A, LDA, I1, I2) +* +* -- LAPACK auxiliary routine -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2010 * * .. Scalar Arguments .. CHARACTER UPLO - INTEGER I1, I2, N + INTEGER I1, I2, LDA, N * .. * .. Array Arguments .. - DOUBLE COMPLEX A(N,N) -* -* Purpose -* ======= -* -* ZSYSWAPR applies an elementary permutation on the rows and the columns of -* a symmetric matrix. -* -* Arguments -* ========= -* -* UPLO (input) 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. -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* A (input/output) DOUBLE COMPLEX array, dimension (LDA,N) -* On entry, the NB diagonal matrix D and the multipliers -* used to obtain the factor U or L as computed by ZSYTRF. -* -* On exit, if INFO = 0, the (symmetric) inverse of the original -* matrix. If UPLO = 'U', the upper triangular part of the -* inverse is formed and the part of A below the diagonal is not -* referenced; if UPLO = 'L' the lower triangular part of the -* inverse is formed and the part of A above the diagonal is -* not referenced. -* -* I1 (input) INTEGER -* Index of the first row to swap -* -* I2 (input) INTEGER -* Index of the second row to swap + COMPLEX*16 A( LDA, * ) * * ===================================================================== * * .. * .. Local Scalars .. LOGICAL UPPER - INTEGER I - DOUBLE COMPLEX TMP + COMPLEX*16 TMP * * .. External Functions .. LOGICAL LSAME @@ -69,57 +130,43 @@ * * UPPER * 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 ) * * second swap : * - 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) A(I1,I1)=A(I2,I2) A(I2,I2)=TMP * - DO I=1,I2-I1-1 - TMP=A(I1,I1+I) - A(I1,I1+I)=A(I1+I,I2) - A(I1+I,I2)=TMP - END DO + CALL ZSWAP( I2-I1-1, A(I1,I1+1), LDA, A(I1+1,I2), 1 ) * * third swap * - swap row I1 and I2 from I2+1 to N - DO I=I2+1,N - TMP=A(I1,I) - A(I1,I)=A(I2,I) - A(I2,I)=TMP - END DO + IF ( I2.LT.N ) + $ CALL ZSWAP( N-I2, A(I1,I2+1), LDA, A(I2,I2+1), LDA ) * ELSE * * LOWER * first swap -* - swap row I1 and I2 from I1 to I1-1 - CALL ZSWAP( I1-1, A(I1,1), N, A(I2,1), N ) +* - swap row I1 and I2 from I1 to I1-1 + CALL ZSWAP( I1-1, A(I1,1), LDA, A(I2,1), LDA ) * * second swap : * - 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) A(I1,I1)=A(I2,I2) A(I2,I2)=TMP * - DO I=1,I2-I1-1 - TMP=A(I1+I,I1) - A(I1+I,I1)=A(I2,I1+I) - A(I2,I1+I)=TMP - END DO + CALL ZSWAP( I2-I1-1, A(I1+1,I1), 1, A(I2,I1+1), LDA ) * * third swap * - swap col I1 and I2 from I2+1 to N - DO I=I2+1,N - TMP=A(I,I1) - A(I,I1)=A(I,I2) - A(I,I2)=TMP - END DO + IF ( I2.LT.N ) + $ CALL ZSWAP( N-I2, A(I2+1,I1), 1, A(I2+1,I2), 1 ) * ENDIF END SUBROUTINE ZSYSWAPR