dsymv.c

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/* dsymv.f -- translated by f2c (version 20061008).
   You must link the resulting object file with libf2c:
        on Microsoft Windows system, link with libf2c.lib;
        on Linux or Unix systems, link with .../path/to/libf2c.a -lm
        or, if you install libf2c.a in a standard place, with -lf2c -lm
        -- in that order, at the end of the command line, as in
                cc *.o -lf2c -lm
        Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,

                http://www.netlib.org/f2c/libf2c.zip
*/

#include "f2c.h"
#include "blaswrap.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 */
    integer i__, j, ix, iy, jx, jy, kx, ky, info;
    doublereal temp1, temp2;
    extern logical lsame_(char *, char *);
    extern /* Subroutine */ int xerbla_(char *, integer *);

/*     .. Scalar Arguments .. */
/*     .. */
/*     .. Array Arguments .. */
/*     .. */

/*  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. */

/*  Arguments */
/*  ========== */

/*  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. */


/*     .. Parameters .. */
/*     .. */
/*     .. Local Scalars .. */
/*     .. */
/*     .. External Functions .. */
/*     .. */
/*     .. External Subroutines .. */
/*     .. */
/*     .. Intrinsic Functions .. */
/*     .. */

/*     Test the input parameters. */

    /* Parameter adjustments */
    a_dim1 = *lda;
    a_offset = 1 + a_dim1;
    a -= a_offset;
    --x;
    --y;

    /* Function Body */
    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__ <= i__1; ++i__) {
                    y[i__] = 0.;
/* L10: */
                }
            } else {
                i__1 = *n;
                for (i__ = 1; i__ <= i__1; ++i__) {
                    y[i__] = *beta * y[i__];
/* L20: */
                }
            }
        } else {
            iy = ky;
            if (*beta == 0.) {
                i__1 = *n;
                for (i__ = 1; i__ <= i__1; ++i__) {
                    y[iy] = 0.;
                    iy += *incy;
/* L30: */
                }
            } else {
                i__1 = *n;
                for (i__ = 1; i__ <= i__1; ++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 <= i__1; ++j) {
                temp1 = *alpha * x[j];
                temp2 = 0.;
                i__2 = j - 1;
                for (i__ = 1; i__ <= i__2; ++i__) {
                    y[i__] += temp1 * a[i__ + j * a_dim1];
                    temp2 += a[i__ + j * a_dim1] * x[i__];
/* L50: */
                }
                y[j] = y[j] + temp1 * a[j + j * a_dim1] + *alpha * temp2;
/* L60: */
            }
        } else {
            jx = kx;
            jy = ky;
            i__1 = *n;
            for (j = 1; j <= i__1; ++j) {
                temp1 = *alpha * x[jx];
                temp2 = 0.;
                ix = kx;
                iy = ky;
                i__2 = j - 1;
                for (i__ = 1; i__ <= i__2; ++i__) {
                    y[iy] += temp1 * a[i__ + j * a_dim1];
                    temp2 += a[i__ + j * a_dim1] * x[ix];
                    ix += *incx;
                    iy += *incy;
/* L70: */
                }
                y[jy] = y[jy] + temp1 * a[j + j * a_dim1] + *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 <= i__1; ++j) {
                temp1 = *alpha * x[j];
                temp2 = 0.;
                y[j] += temp1 * a[j + j * a_dim1];
                i__2 = *n;
                for (i__ = j + 1; i__ <= i__2; ++i__) {
                    y[i__] += temp1 * a[i__ + j * a_dim1];
                    temp2 += a[i__ + j * a_dim1] * x[i__];
/* L90: */
                }
                y[j] += *alpha * temp2;
/* L100: */
            }
        } else {
            jx = kx;
            jy = ky;
            i__1 = *n;
            for (j = 1; j <= i__1; ++j) {
                temp1 = *alpha * x[jx];
                temp2 = 0.;
                y[jy] += temp1 * a[j + j * a_dim1];
                ix = jx;
                iy = jy;
                i__2 = *n;
                for (i__ = j + 1; i__ <= i__2; ++i__) {
                    ix += *incx;
                    iy += *incy;
                    y[iy] += temp1 * a[i__ + j * a_dim1];
                    temp2 += a[i__ + j * a_dim1] * x[ix];
/* L110: */
                }
                y[jy] += *alpha * temp2;
                jx += *incx;
                jy += *incy;
/* L120: */
            }
        }
    }

    return 0;

/*     End of DSYMV . */

} /* dsymv_ */