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Diffstat (limited to 'blas/zhpr2.f')
| -rw-r--r-- | blas/zhpr2.f | 255 |
1 files changed, 255 insertions, 0 deletions
diff --git a/blas/zhpr2.f b/blas/zhpr2.f new file mode 100644 index 000000000..99977462e --- /dev/null +++ b/blas/zhpr2.f @@ -0,0 +1,255 @@ + SUBROUTINE ZHPR2(UPLO,N,ALPHA,X,INCX,Y,INCY,AP) +* .. Scalar Arguments .. + DOUBLE COMPLEX ALPHA + INTEGER INCX,INCY,N + CHARACTER UPLO +* .. +* .. Array Arguments .. + DOUBLE COMPLEX 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. +* +* 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*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. +* +* 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 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 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 + 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 |