zlauu2.c

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/* zlauu2.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"

/* Table of constant values */

static doublecomplex c_b1 = {1.,0.};
static integer c__1 = 1;

/* Subroutine */ int zlauu2_(char *uplo, integer *n, doublecomplex *a, 
        integer *lda, integer *info)
{
    /* System generated locals */
    integer a_dim1, a_offset, i__1, i__2, i__3;
    doublereal d__1;
    doublecomplex z__1;

    /* Local variables */
    integer i__;
    doublereal aii;
    extern logical lsame_(char *, char *);
    extern /* Double Complex */ VOID zdotc_(doublecomplex *, integer *, 
            doublecomplex *, integer *, doublecomplex *, integer *);
    extern /* Subroutine */ int zgemv_(char *, integer *, integer *, 
            doublecomplex *, doublecomplex *, integer *, doublecomplex *, 
            integer *, doublecomplex *, doublecomplex *, integer *);
    logical upper;
    extern /* Subroutine */ int xerbla_(char *, integer *), zdscal_(
            integer *, doublereal *, doublecomplex *, integer *), zlacgv_(
            integer *, doublecomplex *, integer *);


/*  -- LAPACK auxiliary routine (version 3.2) -- */
/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/*     November 2006 */

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

/*  Purpose */
/*  ======= */

/*  ZLAUU2 computes the product U * U' or L' * L, where the triangular */
/*  factor U or L is stored in the upper or lower triangular part of */
/*  the array A. */

/*  If UPLO = 'U' or 'u' then the upper triangle of the result is stored, */
/*  overwriting the factor U in A. */
/*  If UPLO = 'L' or 'l' then the lower triangle of the result is stored, */
/*  overwriting the factor L in A. */

/*  This is the unblocked form of the algorithm, calling Level 2 BLAS. */

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

/*  UPLO    (input) CHARACTER*1 */
/*          Specifies whether the triangular factor stored in the array A */
/*          is upper or lower triangular: */
/*          = 'U':  Upper triangular */
/*          = 'L':  Lower triangular */

/*  N       (input) INTEGER */
/*          The order of the triangular factor U or L.  N >= 0. */

/*  A       (input/output) COMPLEX*16 array, dimension (LDA,N) */
/*          On entry, the triangular factor U or L. */
/*          On exit, if UPLO = 'U', the upper triangle of A is */
/*          overwritten with the upper triangle of the product U * U'; */
/*          if UPLO = 'L', the lower triangle of A is overwritten with */
/*          the lower triangle of the product L' * L. */

/*  LDA     (input) INTEGER */
/*          The leading dimension of the array A.  LDA >= max(1,N). */

/*  INFO    (output) INTEGER */
/*          = 0: successful exit */
/*          < 0: if INFO = -k, the k-th argument had an illegal value */

/*  ===================================================================== */

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

/*     Test the input parameters. */

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

    /* Function Body */
    *info = 0;
    upper = lsame_(uplo, "U");
    if (! upper && ! lsame_(uplo, "L")) {
        *info = -1;
    } else if (*n < 0) {
        *info = -2;
    } else if (*lda < max(1,*n)) {
        *info = -4;
    }
    if (*info != 0) {
        i__1 = -(*info);
        xerbla_("ZLAUU2", &i__1);
        return 0;
    }

/*     Quick return if possible */

    if (*n == 0) {
        return 0;
    }

    if (upper) {

/*        Compute the product U * U'. */

        i__1 = *n;
        for (i__ = 1; i__ <= i__1; ++i__) {
            i__2 = i__ + i__ * a_dim1;
            aii = a[i__2].r;
            if (i__ < *n) {
                i__2 = i__ + i__ * a_dim1;
                i__3 = *n - i__;
                zdotc_(&z__1, &i__3, &a[i__ + (i__ + 1) * a_dim1], lda, &a[
                        i__ + (i__ + 1) * a_dim1], lda);
                d__1 = aii * aii + z__1.r;
                a[i__2].r = d__1, a[i__2].i = 0.;
                i__2 = *n - i__;
                zlacgv_(&i__2, &a[i__ + (i__ + 1) * a_dim1], lda);
                i__2 = i__ - 1;
                i__3 = *n - i__;
                z__1.r = aii, z__1.i = 0.;
                zgemv_("No transpose", &i__2, &i__3, &c_b1, &a[(i__ + 1) * 
                        a_dim1 + 1], lda, &a[i__ + (i__ + 1) * a_dim1], lda, &
                        z__1, &a[i__ * a_dim1 + 1], &c__1);
                i__2 = *n - i__;
                zlacgv_(&i__2, &a[i__ + (i__ + 1) * a_dim1], lda);
            } else {
                zdscal_(&i__, &aii, &a[i__ * a_dim1 + 1], &c__1);
            }
/* L10: */
        }

    } else {

/*        Compute the product L' * L. */

        i__1 = *n;
        for (i__ = 1; i__ <= i__1; ++i__) {
            i__2 = i__ + i__ * a_dim1;
            aii = a[i__2].r;
            if (i__ < *n) {
                i__2 = i__ + i__ * a_dim1;
                i__3 = *n - i__;
                zdotc_(&z__1, &i__3, &a[i__ + 1 + i__ * a_dim1], &c__1, &a[
                        i__ + 1 + i__ * a_dim1], &c__1);
                d__1 = aii * aii + z__1.r;
                a[i__2].r = d__1, a[i__2].i = 0.;
                i__2 = i__ - 1;
                zlacgv_(&i__2, &a[i__ + a_dim1], lda);
                i__2 = *n - i__;
                i__3 = i__ - 1;
                z__1.r = aii, z__1.i = 0.;
                zgemv_("Conjugate transpose", &i__2, &i__3, &c_b1, &a[i__ + 1 
                        + a_dim1], lda, &a[i__ + 1 + i__ * a_dim1], &c__1, &
                        z__1, &a[i__ + a_dim1], lda);
                i__2 = i__ - 1;
                zlacgv_(&i__2, &a[i__ + a_dim1], lda);
            } else {
                zdscal_(&i__, &aii, &a[i__ + a_dim1], lda);
            }
/* L20: */
        }
    }

    return 0;

/*     End of ZLAUU2 */

} /* zlauu2_ */