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- SUBROUTINE ZHPR2 ( UPLO, N, ALPHA, X, INCX, Y, INCY, AP )
-* .. Scalar Arguments ..
- COMPLEX*16 ALPHA
- INTEGER INCX, INCY, N
- CHARACTER*1 UPLO
-* .. Array Arguments ..
- COMPLEX*16 AP( * ), X( * ), Y( * )
-* ..
-*
-* Purpose
-* =======
-*
-* ZHPR2 performs the hermitian rank 2 operation
-*
-* A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A,
-*
-* where alpha is a scalar, x and y are n element vectors and A is an
-* n by n hermitian matrix, supplied in packed form.
-*
-* Parameters
-* ==========
-*
-* UPLO - CHARACTER*1.
-* On entry, UPLO specifies whether the upper or lower
-* triangular part of the matrix A is supplied in the packed
-* array AP as follows:
-*
-* UPLO = 'U' or 'u' The upper triangular part of A is
-* supplied in AP.
-*
-* UPLO = 'L' or 'l' The lower triangular part of A is
-* supplied in AP.
-*
-* Unchanged on exit.
-*
-* N - INTEGER.
-* On entry, N specifies the order of the matrix A.
-* N must be at least zero.
-* Unchanged on exit.
-*
-* ALPHA - COMPLEX*16 .
-* On entry, ALPHA specifies the scalar alpha.
-* Unchanged on exit.
-*
-* X - COMPLEX*16 array of dimension at least
-* ( 1 + ( n - 1 )*abs( INCX ) ).
-* Before entry, the incremented array X must contain the n
-* element vector x.
-* Unchanged on exit.
-*
-* INCX - INTEGER.
-* On entry, INCX specifies the increment for the elements of
-* X. INCX must not be zero.
-* Unchanged on exit.
-*
-* Y - COMPLEX*16 array of dimension at least
-* ( 1 + ( n - 1 )*abs( INCY ) ).
-* Before entry, the incremented array Y must contain the n
-* element vector y.
-* Unchanged on exit.
-*
-* INCY - INTEGER.
-* On entry, INCY specifies the increment for the elements of
-* Y. INCY must not be zero.
-* Unchanged on exit.
-*
-* AP - COMPLEX*16 array of DIMENSION at least
-* ( ( n*( n + 1 ) )/2 ).
-* Before entry with UPLO = 'U' or 'u', the array AP must
-* contain the upper triangular part of the hermitian matrix
-* packed sequentially, column by column, so that AP( 1 )
-* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
-* and a( 2, 2 ) respectively, and so on. On exit, the array
-* AP is overwritten by the upper triangular part of the
-* updated matrix.
-* Before entry with UPLO = 'L' or 'l', the array AP must
-* contain the lower triangular part of the hermitian matrix
-* packed sequentially, column by column, so that AP( 1 )
-* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
-* and a( 3, 1 ) respectively, and so on. On exit, the array
-* AP is overwritten by the lower triangular part of the
-* updated matrix.
-* Note that the imaginary parts of the diagonal elements need
-* not be set, they are assumed to be zero, and on exit they
-* are set to zero.
-*
-*
-* Level 2 Blas routine.
-*
-* -- Written on 22-October-1986.
-* Jack Dongarra, Argonne National Lab.
-* Jeremy Du Croz, Nag Central Office.
-* Sven Hammarling, Nag Central Office.
-* Richard Hanson, Sandia National Labs.
-*
-*
-* .. Parameters ..
- COMPLEX*16 ZERO
- PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
-* .. Local Scalars ..
- COMPLEX*16 TEMP1, TEMP2
- INTEGER I, INFO, IX, IY, J, JX, JY, K, KK, KX, KY
-* .. External Functions ..
- LOGICAL LSAME
- EXTERNAL LSAME
-* .. External Subroutines ..
- EXTERNAL XERBLA
-* .. Intrinsic Functions ..
- INTRINSIC DCONJG, DBLE
-* ..
-* .. Executable Statements ..
-*
-* Test the input parameters.
-*
- INFO = 0
- IF ( .NOT.LSAME( UPLO, 'U' ).AND.
- $ .NOT.LSAME( UPLO, 'L' ) )THEN
- INFO = 1
- ELSE IF( N.LT.0 )THEN
- INFO = 2
- ELSE IF( INCX.EQ.0 )THEN
- INFO = 5
- ELSE IF( INCY.EQ.0 )THEN
- INFO = 7
- END IF
- IF( INFO.NE.0 )THEN
- CALL XERBLA( 'ZHPR2 ', INFO )
- RETURN
- END IF
-*
-* Quick return if possible.
-*
- IF( ( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
- $ RETURN
-*
-* Set up the start points in X and Y if the increments are not both
-* unity.
-*
- IF( ( INCX.NE.1 ).OR.( INCY.NE.1 ) )THEN
- IF( INCX.GT.0 )THEN
- KX = 1
- ELSE
- KX = 1 - ( N - 1 )*INCX
- END IF
- IF( INCY.GT.0 )THEN
- KY = 1
- ELSE
- KY = 1 - ( N - 1 )*INCY
- END IF
- JX = KX
- JY = KY
- END IF
-*
-* Start the operations. In this version the elements of the array AP
-* are accessed sequentially with one pass through AP.
-*
- KK = 1
- IF( LSAME( UPLO, 'U' ) )THEN
-*
-* Form A when upper triangle is stored in AP.
-*
- IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
- DO 20, J = 1, N
- IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
- TEMP1 = ALPHA*DCONJG( Y( J ) )
- TEMP2 = DCONJG( ALPHA*X( J ) )
- K = KK
- DO 10, I = 1, J - 1
- AP( K ) = AP( K ) + X( I )*TEMP1 + Y( I )*TEMP2
- K = K + 1
- 10 CONTINUE
- AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) ) +
- $ DBLE( X( J )*TEMP1 + Y( J )*TEMP2 )
- ELSE
- AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) )
- END IF
- KK = KK + J
- 20 CONTINUE
- ELSE
- DO 40, J = 1, N
- IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
- TEMP1 = ALPHA*DCONJG( Y( JY ) )
- TEMP2 = DCONJG( ALPHA*X( JX ) )
- IX = KX
- IY = KY
- DO 30, K = KK, KK + J - 2
- AP( K ) = AP( K ) + X( IX )*TEMP1 + Y( IY )*TEMP2
- IX = IX + INCX
- IY = IY + INCY
- 30 CONTINUE
- AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) ) +
- $ DBLE( X( JX )*TEMP1 +
- $ Y( JY )*TEMP2 )
- ELSE
- AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) )
- END IF
- JX = JX + INCX
- JY = JY + INCY
- KK = KK + J
- 40 CONTINUE
- END IF
- ELSE
-*
-* Form A when lower triangle is stored in AP.
-*
- IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
- DO 60, J = 1, N
- IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
- TEMP1 = ALPHA*DCONJG( Y( J ) )
- TEMP2 = DCONJG( ALPHA*X( J ) )
- AP( KK ) = DBLE( AP( KK ) ) +
- $ DBLE( X( J )*TEMP1 + Y( J )*TEMP2 )
- K = KK + 1
- DO 50, I = J + 1, N
- AP( K ) = AP( K ) + X( I )*TEMP1 + Y( I )*TEMP2
- K = K + 1
- 50 CONTINUE
- ELSE
- AP( KK ) = DBLE( AP( KK ) )
- END IF
- KK = KK + N - J + 1
- 60 CONTINUE
- ELSE
- DO 80, J = 1, N
- IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
- TEMP1 = ALPHA*DCONJG( Y( JY ) )
- TEMP2 = DCONJG( ALPHA*X( JX ) )
- AP( KK ) = DBLE( AP( KK ) ) +
- $ DBLE( X( JX )*TEMP1 + Y( JY )*TEMP2 )
- IX = JX
- IY = JY
- DO 70, K = KK + 1, KK + N - J
- IX = IX + INCX
- IY = IY + INCY
- AP( K ) = AP( K ) + X( IX )*TEMP1 + Y( IY )*TEMP2
- 70 CONTINUE
- ELSE
- AP( KK ) = DBLE( AP( KK ) )
- END IF
- JX = JX + INCX
- JY = JY + INCY
- KK = KK + N - J + 1
- 80 CONTINUE
- END IF
- END IF
-*
- RETURN
-*
-* End of ZHPR2 .
-*
- END
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