389 lines
10 KiB
C++
389 lines
10 KiB
C++
/* fortran/dsymv.f -- translated by f2c (version 20200916).
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You must link the resulting object file with libf2c:
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on Microsoft Windows system, link with libf2c.lib;
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on Linux or Unix systems, link with .../path/to/libf2c.a -lm
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or, if you install libf2c.a in a standard place, with -lf2c -lm
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-- in that order, at the end of the command line, as in
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cc *.o -lf2c -lm
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Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
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http://www.netlib.org/f2c/libf2c.zip
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*/
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#ifdef __cplusplus
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extern "C" {
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#endif
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#include "lmp_f2c.h"
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/* > \brief \b DSYMV */
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/* =========== DOCUMENTATION =========== */
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/* Online html documentation available at */
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/* http://www.netlib.org/lapack/explore-html/ */
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/* Definition: */
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/* =========== */
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/* SUBROUTINE DSYMV(UPLO,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY) */
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/* .. Scalar Arguments .. */
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/* DOUBLE PRECISION ALPHA,BETA */
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/* INTEGER INCX,INCY,LDA,N */
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/* CHARACTER UPLO */
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/* .. */
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/* .. Array Arguments .. */
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/* DOUBLE PRECISION A(LDA,*),X(*),Y(*) */
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/* .. */
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/* > \par Purpose: */
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/* ============= */
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/* > */
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/* > \verbatim */
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/* > */
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/* > DSYMV performs the matrix-vector operation */
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/* > */
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/* > y := alpha*A*x + beta*y, */
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/* > */
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/* > where alpha and beta are scalars, x and y are n element vectors and */
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/* > A is an n by n symmetric matrix. */
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/* > \endverbatim */
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/* Arguments: */
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/* ========== */
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/* > \param[in] UPLO */
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/* > \verbatim */
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/* > UPLO is CHARACTER*1 */
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/* > On entry, UPLO specifies whether the upper or lower */
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/* > triangular part of the array A is to be referenced as */
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/* > follows: */
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/* > */
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/* > UPLO = 'U' or 'u' Only the upper triangular part of A */
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/* > is to be referenced. */
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/* > */
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/* > UPLO = 'L' or 'l' Only the lower triangular part of A */
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/* > is to be referenced. */
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/* > \endverbatim */
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/* > */
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/* > \param[in] N */
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/* > \verbatim */
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/* > N is INTEGER */
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/* > On entry, N specifies the order of the matrix A. */
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/* > N must be at least zero. */
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/* > \endverbatim */
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/* > */
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/* > \param[in] ALPHA */
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/* > \verbatim */
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/* > ALPHA is DOUBLE PRECISION. */
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/* > On entry, ALPHA specifies the scalar alpha. */
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/* > \endverbatim */
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/* > */
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/* > \param[in] A */
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/* > \verbatim */
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/* > A is DOUBLE PRECISION array, dimension ( LDA, N ) */
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/* > Before entry with UPLO = 'U' or 'u', the leading n by n */
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/* > upper triangular part of the array A must contain the upper */
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/* > triangular part of the symmetric matrix and the strictly */
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/* > lower triangular part of A is not referenced. */
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/* > Before entry with UPLO = 'L' or 'l', the leading n by n */
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/* > lower triangular part of the array A must contain the lower */
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/* > triangular part of the symmetric matrix and the strictly */
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/* > upper triangular part of A is not referenced. */
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/* > \endverbatim */
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/* > */
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/* > \param[in] LDA */
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/* > \verbatim */
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/* > LDA is INTEGER */
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/* > On entry, LDA specifies the first dimension of A as declared */
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/* > in the calling (sub) program. LDA must be at least */
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/* > max( 1, n ). */
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/* > \endverbatim */
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/* > */
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/* > \param[in] X */
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/* > \verbatim */
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/* > X is DOUBLE PRECISION array, dimension at least */
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/* > ( 1 + ( n - 1 )*abs( INCX ) ). */
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/* > Before entry, the incremented array X must contain the n */
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/* > element vector x. */
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/* > \endverbatim */
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/* > */
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/* > \param[in] INCX */
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/* > \verbatim */
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/* > INCX is INTEGER */
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/* > On entry, INCX specifies the increment for the elements of */
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/* > X. INCX must not be zero. */
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/* > \endverbatim */
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/* > */
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/* > \param[in] BETA */
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/* > \verbatim */
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/* > BETA is DOUBLE PRECISION. */
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/* > On entry, BETA specifies the scalar beta. When BETA is */
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/* > supplied as zero then Y need not be set on input. */
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/* > \endverbatim */
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/* > */
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/* > \param[in,out] Y */
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/* > \verbatim */
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/* > Y is DOUBLE PRECISION array, dimension at least */
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/* > ( 1 + ( n - 1 )*abs( INCY ) ). */
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/* > Before entry, the incremented array Y must contain the n */
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/* > element vector y. On exit, Y is overwritten by the updated */
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/* > vector y. */
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/* > \endverbatim */
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/* > */
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/* > \param[in] INCY */
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/* > \verbatim */
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/* > INCY is INTEGER */
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/* > On entry, INCY specifies the increment for the elements of */
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/* > Y. INCY must not be zero. */
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/* > \endverbatim */
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/* Authors: */
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/* ======== */
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/* > \author Univ. of Tennessee */
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/* > \author Univ. of California Berkeley */
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/* > \author Univ. of Colorado Denver */
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/* > \author NAG Ltd. */
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/* > \ingroup double_blas_level2 */
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/* > \par Further Details: */
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/* ===================== */
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/* > */
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/* > \verbatim */
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/* > */
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/* > Level 2 Blas routine. */
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/* > The vector and matrix arguments are not referenced when N = 0, or M = 0 */
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/* > */
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/* > -- Written on 22-October-1986. */
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/* > Jack Dongarra, Argonne National Lab. */
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/* > Jeremy Du Croz, Nag Central Office. */
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/* > Sven Hammarling, Nag Central Office. */
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/* > Richard Hanson, Sandia National Labs. */
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/* > \endverbatim */
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/* > */
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/* ===================================================================== */
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/* Subroutine */ int dsymv_(char *uplo, integer *n, doublereal *alpha,
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doublereal *a, integer *lda, doublereal *x, integer *incx, doublereal
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*beta, doublereal *y, integer *incy, ftnlen uplo_len)
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{
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/* System generated locals */
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integer a_dim1, a_offset, i__1, i__2;
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/* Local variables */
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integer i__, j, ix, iy, jx, jy, kx, ky, info;
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doublereal temp1, temp2;
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extern logical lsame_(char *, char *, ftnlen, ftnlen);
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extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
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/* -- Reference BLAS level2 routine -- */
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/* -- Reference BLAS is a software package provided by Univ. of Tennessee, -- */
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/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
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/* .. Scalar Arguments .. */
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/* .. */
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/* .. Array Arguments .. */
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/* .. */
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/* ===================================================================== */
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/* .. Parameters .. */
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/* .. */
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/* .. Local Scalars .. */
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/* .. */
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/* .. External Functions .. */
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/* .. */
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/* .. External Subroutines .. */
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/* .. */
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/* .. Intrinsic Functions .. */
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/* .. */
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/* Test the input parameters. */
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/* Parameter adjustments */
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a_dim1 = *lda;
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a_offset = 1 + a_dim1;
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a -= a_offset;
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--x;
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--y;
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/* Function Body */
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info = 0;
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if (! lsame_(uplo, (char *)"U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, (char *)"L", (
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ftnlen)1, (ftnlen)1)) {
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info = 1;
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} else if (*n < 0) {
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info = 2;
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} else if (*lda < max(1,*n)) {
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info = 5;
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} else if (*incx == 0) {
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info = 7;
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} else if (*incy == 0) {
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info = 10;
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}
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if (info != 0) {
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xerbla_((char *)"DSYMV ", &info, (ftnlen)6);
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return 0;
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}
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/* Quick return if possible. */
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if (*n == 0 || *alpha == 0. && *beta == 1.) {
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return 0;
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}
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/* Set up the start points in X and Y. */
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if (*incx > 0) {
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kx = 1;
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} else {
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kx = 1 - (*n - 1) * *incx;
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}
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if (*incy > 0) {
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ky = 1;
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} else {
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ky = 1 - (*n - 1) * *incy;
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}
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/* Start the operations. In this version the elements of A are */
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/* accessed sequentially with one pass through the triangular part */
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/* of A. */
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/* First form y := beta*y. */
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if (*beta != 1.) {
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if (*incy == 1) {
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if (*beta == 0.) {
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i__1 = *n;
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for (i__ = 1; i__ <= i__1; ++i__) {
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y[i__] = 0.;
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/* L10: */
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}
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} else {
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i__1 = *n;
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for (i__ = 1; i__ <= i__1; ++i__) {
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y[i__] = *beta * y[i__];
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/* L20: */
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}
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}
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} else {
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iy = ky;
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if (*beta == 0.) {
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i__1 = *n;
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for (i__ = 1; i__ <= i__1; ++i__) {
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y[iy] = 0.;
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iy += *incy;
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/* L30: */
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}
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} else {
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i__1 = *n;
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for (i__ = 1; i__ <= i__1; ++i__) {
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y[iy] = *beta * y[iy];
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iy += *incy;
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/* L40: */
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}
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}
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}
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}
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if (*alpha == 0.) {
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return 0;
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}
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if (lsame_(uplo, (char *)"U", (ftnlen)1, (ftnlen)1)) {
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/* Form y when A is stored in upper triangle. */
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if (*incx == 1 && *incy == 1) {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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temp1 = *alpha * x[j];
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temp2 = 0.;
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i__2 = j - 1;
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for (i__ = 1; i__ <= i__2; ++i__) {
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y[i__] += temp1 * a[i__ + j * a_dim1];
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temp2 += a[i__ + j * a_dim1] * x[i__];
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/* L50: */
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}
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y[j] = y[j] + temp1 * a[j + j * a_dim1] + *alpha * temp2;
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/* L60: */
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}
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} else {
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jx = kx;
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jy = ky;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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temp1 = *alpha * x[jx];
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temp2 = 0.;
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ix = kx;
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iy = ky;
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i__2 = j - 1;
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for (i__ = 1; i__ <= i__2; ++i__) {
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y[iy] += temp1 * a[i__ + j * a_dim1];
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temp2 += a[i__ + j * a_dim1] * x[ix];
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ix += *incx;
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iy += *incy;
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/* L70: */
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}
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y[jy] = y[jy] + temp1 * a[j + j * a_dim1] + *alpha * temp2;
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jx += *incx;
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jy += *incy;
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/* L80: */
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}
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}
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} else {
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/* Form y when A is stored in lower triangle. */
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if (*incx == 1 && *incy == 1) {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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temp1 = *alpha * x[j];
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temp2 = 0.;
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y[j] += temp1 * a[j + j * a_dim1];
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i__2 = *n;
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for (i__ = j + 1; i__ <= i__2; ++i__) {
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y[i__] += temp1 * a[i__ + j * a_dim1];
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temp2 += a[i__ + j * a_dim1] * x[i__];
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/* L90: */
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}
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y[j] += *alpha * temp2;
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/* L100: */
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}
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} else {
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jx = kx;
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jy = ky;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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temp1 = *alpha * x[jx];
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temp2 = 0.;
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y[jy] += temp1 * a[j + j * a_dim1];
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ix = jx;
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iy = jy;
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i__2 = *n;
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for (i__ = j + 1; i__ <= i__2; ++i__) {
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ix += *incx;
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iy += *incy;
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y[iy] += temp1 * a[i__ + j * a_dim1];
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temp2 += a[i__ + j * a_dim1] * x[ix];
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/* L110: */
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}
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y[jy] += *alpha * temp2;
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jx += *incx;
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jy += *incy;
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/* L120: */
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}
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}
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}
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return 0;
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/* End of DSYMV */
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} /* dsymv_ */
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#ifdef __cplusplus
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}
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#endif
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