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- SUBROUTINE ZHPR(UPLO,N,ALPHA,X,INCX,AP)
-* .. Scalar Arguments ..
- DOUBLE PRECISION ALPHA
- INTEGER INCX,N
- CHARACTER UPLO
-* ..
-* .. Array Arguments ..
- DOUBLE COMPLEX AP(*),X(*)
-* ..
-*
-* Purpose
-* =======
-*
-* ZHPR performs the hermitian rank 1 operation
-*
-* A := alpha*x*conjg( x' ) + A,
-*
-* where alpha is a real scalar, x is an n element vector and A is an
-* n by n hermitian matrix, supplied in packed form.
-*
-* Arguments
-* ==========
-*
-* 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 - DOUBLE PRECISION.
-* 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.
-*
-* 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.
-*
-* Further Details
-* ===============
-*
-* 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 ..
- DOUBLE COMPLEX ZERO
- PARAMETER (ZERO= (0.0D+0,0.0D+0))
-* ..
-* .. Local Scalars ..
- DOUBLE COMPLEX TEMP
- INTEGER I,INFO,IX,J,JX,K,KK,KX
-* ..
-* .. External Functions ..
- LOGICAL LSAME
- EXTERNAL LSAME
-* ..
-* .. External Subroutines ..
- EXTERNAL XERBLA
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC DBLE,DCONJG
-* ..
-*
-* 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
- END IF
- IF (INFO.NE.0) THEN
- CALL XERBLA('ZHPR ',INFO)
- RETURN
- END IF
-*
-* Quick return if possible.
-*
- IF ((N.EQ.0) .OR. (ALPHA.EQ.DBLE(ZERO))) RETURN
-*
-* Set the start point in X if the increment is not unity.
-*
- IF (INCX.LE.0) THEN
- KX = 1 - (N-1)*INCX
- ELSE IF (INCX.NE.1) THEN
- KX = 1
- 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) THEN
- DO 20 J = 1,N
- IF (X(J).NE.ZERO) THEN
- TEMP = ALPHA*DCONJG(X(J))
- K = KK
- DO 10 I = 1,J - 1
- AP(K) = AP(K) + X(I)*TEMP
- K = K + 1
- 10 CONTINUE
- AP(KK+J-1) = DBLE(AP(KK+J-1)) + DBLE(X(J)*TEMP)
- ELSE
- AP(KK+J-1) = DBLE(AP(KK+J-1))
- END IF
- KK = KK + J
- 20 CONTINUE
- ELSE
- JX = KX
- DO 40 J = 1,N
- IF (X(JX).NE.ZERO) THEN
- TEMP = ALPHA*DCONJG(X(JX))
- IX = KX
- DO 30 K = KK,KK + J - 2
- AP(K) = AP(K) + X(IX)*TEMP
- IX = IX + INCX
- 30 CONTINUE
- AP(KK+J-1) = DBLE(AP(KK+J-1)) + DBLE(X(JX)*TEMP)
- ELSE
- AP(KK+J-1) = DBLE(AP(KK+J-1))
- END IF
- JX = JX + INCX
- KK = KK + J
- 40 CONTINUE
- END IF
- ELSE
-*
-* Form A when lower triangle is stored in AP.
-*
- IF (INCX.EQ.1) THEN
- DO 60 J = 1,N
- IF (X(J).NE.ZERO) THEN
- TEMP = ALPHA*DCONJG(X(J))
- AP(KK) = DBLE(AP(KK)) + DBLE(TEMP*X(J))
- K = KK + 1
- DO 50 I = J + 1,N
- AP(K) = AP(K) + X(I)*TEMP
- K = K + 1
- 50 CONTINUE
- ELSE
- AP(KK) = DBLE(AP(KK))
- END IF
- KK = KK + N - J + 1
- 60 CONTINUE
- ELSE
- JX = KX
- DO 80 J = 1,N
- IF (X(JX).NE.ZERO) THEN
- TEMP = ALPHA*DCONJG(X(JX))
- AP(KK) = DBLE(AP(KK)) + DBLE(TEMP*X(JX))
- IX = JX
- DO 70 K = KK + 1,KK + N - J
- IX = IX + INCX
- AP(K) = AP(K) + X(IX)*TEMP
- 70 CONTINUE
- ELSE
- AP(KK) = DBLE(AP(KK))
- END IF
- JX = JX + INCX
- KK = KK + N - J + 1
- 80 CONTINUE
- END IF
- END IF
-*
- RETURN
-*
-* End of ZHPR .
-*
- END