/*  -- translated by f2c (version 19940927).

   You must link the resulting object file with the libraries:

	-lf2c -lm   (in that order)

*/

#include "f2c.h"

/* Subroutine */ int dsymv_(char *uplo, integer *n, doublereal *alpha, 

	doublereal *a, integer *lda, doublereal *x, integer *incx, doublereal 

	*beta, doublereal *y, integer *incy)

{

    /* System generated locals */

    integer a_dim1, a_offset, i__1, i__2;

    /* Local variables */

    static integer info;

    static doublereal temp1, temp2;

    static integer i, j;

    extern logical lsame_(char *, char *);

    static integer ix, iy, jx, jy, kx, ky;

    extern /* Subroutine */ int xerbla_(char *, integer *);

/*  Purpose   

    =======   

    DSYMV  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 symmetric matrix.   

    Parameters   

    ==========   

    UPLO   - CHARACTER*1.   

             On entry, UPLO specifies whether the upper or lower   

             triangular part of the array A is to be referenced as   

             follows:   

                UPLO = 'U' or 'u'   Only the upper triangular part of A   

                                    is to be referenced.   

                UPLO = 'L' or 'l'   Only the lower triangular part of A   

                                    is to be referenced.   

             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.   

    A      - DOUBLE PRECISION array of DIMENSION ( LDA, n ).   

             Before entry with  UPLO = 'U' or 'u', the leading n by n   

             upper triangular part of the array A must contain the upper 

             triangular part of the symmetric matrix and the strictly   

             lower triangular part of A is not referenced.   

             Before entry with UPLO = 'L' or 'l', the leading n by n   

             lower triangular part of the array A must contain the lower 

             triangular part of the symmetric matrix and the strictly   

             upper triangular part of A is not referenced.   

             Unchanged on exit.   

    LDA    - INTEGER.   

             On entry, LDA specifies the first dimension of A as declared 

             in the calling (sub) program. LDA must be at least   

             max( 1, n ).   

             Unchanged on exit.   

    X      - DOUBLE PRECISION 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   - DOUBLE PRECISION.   

             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      - DOUBLE PRECISION 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.   

    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.   

       Test the input parameters.   

   Parameter adjustments   

       Function Body */

#define X(I) x[(I)-1]

#define Y(I) y[(I)-1]

#define A(I,J) a[(I)-1 + ((J)-1)* ( *lda)]

    info = 0;

    if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {

	info = 1;

    } else if (*n < 0) {

	info = 2;

    } else if (*lda < max(1,*n)) {

	info = 5;

    } else if (*incx == 0) {

	info = 7;

    } else if (*incy == 0) {

	info = 10;

    }

    if (info != 0) {

	xerbla_("DSYMV ", &info);

	return 0;

    }

/*     Quick return if possible. */

    if (*n == 0 || *alpha == 0. && *beta == 1.) {

	return 0;

    }

/*     Set up the start points in  X  and  Y. */

    if (*incx > 0) {

	kx = 1;

    } else {

	kx = 1 - (*n - 1) * *incx;

    }

    if (*incy > 0) {

	ky = 1;

    } else {

	ky = 1 - (*n - 1) * *incy;

    }

/*     Start the operations. In this version the elements of A are   

       accessed sequentially with one pass through the triangular part   

       of A.   

       First form  y := beta*y. */

    if (*beta != 1.) {

	if (*incy == 1) {

	    if (*beta == 0.) {

		i__1 = *n;

		for (i = 1; i <= *n; ++i) {

		    Y(i) = 0.;

/* L10: */

		}

	    } else {

		i__1 = *n;

		for (i = 1; i <= *n; ++i) {

		    Y(i) = *beta * Y(i);

/* L20: */

		}

	    }

	} else {

	    iy = ky;

	    if (*beta == 0.) {

		i__1 = *n;

		for (i = 1; i <= *n; ++i) {

		    Y(iy) = 0.;

		    iy += *incy;

/* L30: */

		}

	    } else {

		i__1 = *n;

		for (i = 1; i <= *n; ++i) {

		    Y(iy) = *beta * Y(iy);

		    iy += *incy;

/* L40: */

		}

	    }

	}

    }

    if (*alpha == 0.) {

	return 0;

    }

    if (lsame_(uplo, "U")) {

/*        Form  y  when A is stored in upper triangle. */

	if (*incx == 1 && *incy == 1) {

	    i__1 = *n;

	    for (j = 1; j <= *n; ++j) {

		temp1 = *alpha * X(j);

		temp2 = 0.;

		i__2 = j - 1;

		for (i = 1; i <= j-1; ++i) {

		    Y(i) += temp1 * A(i,j);

		    temp2 += A(i,j) * X(i);

/* L50: */

		}

		Y(j) = Y(j) + temp1 * A(j,j) + *alpha * temp2;

/* L60: */

	    }

	} else {

	    jx = kx;

	    jy = ky;

	    i__1 = *n;

	    for (j = 1; j <= *n; ++j) {

		temp1 = *alpha * X(jx);

		temp2 = 0.;

		ix = kx;

		iy = ky;

		i__2 = j - 1;

		for (i = 1; i <= j-1; ++i) {

		    Y(iy) += temp1 * A(i,j);

		    temp2 += A(i,j) * X(ix);

		    ix += *incx;

		    iy += *incy;

/* L70: */

		}

		Y(jy) = Y(jy) + temp1 * A(j,j) + *alpha * temp2;

		jx += *incx;

		jy += *incy;

/* L80: */

	    }

	}

    } else {

/*        Form  y  when A is stored in lower triangle. */

	if (*incx == 1 && *incy == 1) {

	    i__1 = *n;

	    for (j = 1; j <= *n; ++j) {

		temp1 = *alpha * X(j);

		temp2 = 0.;

		Y(j) += temp1 * A(j,j);

		i__2 = *n;

		for (i = j + 1; i <= *n; ++i) {

		    Y(i) += temp1 * A(i,j);

		    temp2 += A(i,j) * X(i);

/* L90: */

		}

		Y(j) += *alpha * temp2;

/* L100: */

	    }

	} else {

	    jx = kx;

	    jy = ky;

	    i__1 = *n;

	    for (j = 1; j <= *n; ++j) {

		temp1 = *alpha * X(jx);

		temp2 = 0.;

		Y(jy) += temp1 * A(j,j);

		ix = jx;

		iy = jy;

		i__2 = *n;

		for (i = j + 1; i <= *n; ++i) {

		    ix += *incx;

		    iy += *incy;

		    Y(iy) += temp1 * A(i,j);

		    temp2 += A(i,j) * X(ix);

/* L110: */

		}

		Y(jy) += *alpha * temp2;

		jx += *incx;

		jy += *incy;

/* L120: */

	    }

	}

    }

    return 0;

/*     End of DSYMV . */

} /* dsymv_ */