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- SUBROUTINE CHPMV(UPLO,N,ALPHA,AP,X,INCX,BETA,Y,INCY)
-* .. Scalar Arguments ..
- COMPLEX ALPHA,BETA
- INTEGER INCX,INCY,N
- CHARACTER UPLO
-* ..
-* .. Array Arguments ..
- COMPLEX AP(*),X(*),Y(*)
-* ..
-*
-* Purpose
-* =======
-*
-* CHPMV performs the matrix-vector operation
-*
-* y := alpha*A*x + beta*y,
-*
-* where alpha and beta are scalars, x and y are n element vectors 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 - COMPLEX .
-* On entry, ALPHA specifies the scalar alpha.
-* Unchanged on exit.
-*
-* AP - COMPLEX 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.
-* 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.
-* Note that the imaginary parts of the diagonal elements need
-* not be set and are assumed to be zero.
-* Unchanged on exit.
-*
-* X - COMPLEX 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.
-*
-* BETA - COMPLEX .
-* On entry, BETA specifies the scalar beta. When BETA is
-* supplied as zero then Y need not be set on input.
-* Unchanged on exit.
-*
-* Y - COMPLEX array of dimension at least
-* ( 1 + ( n - 1 )*abs( INCY ) ).
-* Before entry, the incremented array Y must contain the n
-* element vector y. On exit, Y is overwritten by the updated
-* vector y.
-*
-* INCY - INTEGER.
-* On entry, INCY specifies the increment for the elements of
-* Y. INCY must not be zero.
-* Unchanged on exit.
-*
-* 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 ..
- COMPLEX ONE
- PARAMETER (ONE= (1.0E+0,0.0E+0))
- COMPLEX ZERO
- PARAMETER (ZERO= (0.0E+0,0.0E+0))
-* ..
-* .. Local Scalars ..
- COMPLEX 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 CONJG,REAL
-* ..
-*
-* 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 = 6
- ELSE IF (INCY.EQ.0) THEN
- INFO = 9
- END IF
- IF (INFO.NE.0) THEN
- CALL XERBLA('CHPMV ',INFO)
- RETURN
- END IF
-*
-* Quick return if possible.
-*
- IF ((N.EQ.0) .OR. ((ALPHA.EQ.ZERO).AND. (BETA.EQ.ONE))) RETURN
-*
-* Set up the start points in X and Y.
-*
- 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
-*
-* Start the operations. In this version the elements of the array AP
-* are accessed sequentially with one pass through AP.
-*
-* First form y := beta*y.
-*
- IF (BETA.NE.ONE) THEN
- IF (INCY.EQ.1) THEN
- IF (BETA.EQ.ZERO) THEN
- DO 10 I = 1,N
- Y(I) = ZERO
- 10 CONTINUE
- ELSE
- DO 20 I = 1,N
- Y(I) = BETA*Y(I)
- 20 CONTINUE
- END IF
- ELSE
- IY = KY
- IF (BETA.EQ.ZERO) THEN
- DO 30 I = 1,N
- Y(IY) = ZERO
- IY = IY + INCY
- 30 CONTINUE
- ELSE
- DO 40 I = 1,N
- Y(IY) = BETA*Y(IY)
- IY = IY + INCY
- 40 CONTINUE
- END IF
- END IF
- END IF
- IF (ALPHA.EQ.ZERO) RETURN
- KK = 1
- IF (LSAME(UPLO,'U')) THEN
-*
-* Form y when AP contains the upper triangle.
-*
- IF ((INCX.EQ.1) .AND. (INCY.EQ.1)) THEN
- DO 60 J = 1,N
- TEMP1 = ALPHA*X(J)
- TEMP2 = ZERO
- K = KK
- DO 50 I = 1,J - 1
- Y(I) = Y(I) + TEMP1*AP(K)
- TEMP2 = TEMP2 + CONJG(AP(K))*X(I)
- K = K + 1
- 50 CONTINUE
- Y(J) = Y(J) + TEMP1*REAL(AP(KK+J-1)) + ALPHA*TEMP2
- KK = KK + J
- 60 CONTINUE
- ELSE
- JX = KX
- JY = KY
- DO 80 J = 1,N
- TEMP1 = ALPHA*X(JX)
- TEMP2 = ZERO
- IX = KX
- IY = KY
- DO 70 K = KK,KK + J - 2
- Y(IY) = Y(IY) + TEMP1*AP(K)
- TEMP2 = TEMP2 + CONJG(AP(K))*X(IX)
- IX = IX + INCX
- IY = IY + INCY
- 70 CONTINUE
- Y(JY) = Y(JY) + TEMP1*REAL(AP(KK+J-1)) + ALPHA*TEMP2
- JX = JX + INCX
- JY = JY + INCY
- KK = KK + J
- 80 CONTINUE
- END IF
- ELSE
-*
-* Form y when AP contains the lower triangle.
-*
- IF ((INCX.EQ.1) .AND. (INCY.EQ.1)) THEN
- DO 100 J = 1,N
- TEMP1 = ALPHA*X(J)
- TEMP2 = ZERO
- Y(J) = Y(J) + TEMP1*REAL(AP(KK))
- K = KK + 1
- DO 90 I = J + 1,N
- Y(I) = Y(I) + TEMP1*AP(K)
- TEMP2 = TEMP2 + CONJG(AP(K))*X(I)
- K = K + 1
- 90 CONTINUE
- Y(J) = Y(J) + ALPHA*TEMP2
- KK = KK + (N-J+1)
- 100 CONTINUE
- ELSE
- JX = KX
- JY = KY
- DO 120 J = 1,N
- TEMP1 = ALPHA*X(JX)
- TEMP2 = ZERO
- Y(JY) = Y(JY) + TEMP1*REAL(AP(KK))
- IX = JX
- IY = JY
- DO 110 K = KK + 1,KK + N - J
- IX = IX + INCX
- IY = IY + INCY
- Y(IY) = Y(IY) + TEMP1*AP(K)
- TEMP2 = TEMP2 + CONJG(AP(K))*X(IX)
- 110 CONTINUE
- Y(JY) = Y(JY) + ALPHA*TEMP2
- JX = JX + INCX
- JY = JY + INCY
- KK = KK + (N-J+1)
- 120 CONTINUE
- END IF
- END IF
-*
- RETURN
-*
-* End of CHPMV .
-*
- END