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references/igraph-1.0.1/vendor/lapack/dsyr2.c
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/* -- translated by f2c (version 20240504).
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"
/* > \brief \b DSYR2
=========== DOCUMENTATION ===========
Online html documentation available at
http://www.netlib.org/lapack/explore-html/
Definition:
===========
SUBROUTINE DSYR2(UPLO,N,ALPHA,X,INCX,Y,INCY,A,LDA)
DOUBLE PRECISION ALPHA
INTEGER INCX,INCY,LDA,N
CHARACTER UPLO
DOUBLE PRECISION A(LDA,*),X(*),Y(*)
> \par Purpose:
=============
>
> \verbatim
>
> DSYR2 performs the symmetric rank 2 operation
>
> A := alpha*x*y**T + alpha*y*x**T + A,
>
> where alpha is a scalar, x and y are n element vectors and A is an n
> by n symmetric matrix.
> \endverbatim
Arguments:
==========
> \param[in] UPLO
> \verbatim
> UPLO is 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.
> \endverbatim
>
> \param[in] N
> \verbatim
> N is INTEGER
> On entry, N specifies the order of the matrix A.
> N must be at least zero.
> \endverbatim
>
> \param[in] ALPHA
> \verbatim
> ALPHA is DOUBLE PRECISION.
> On entry, ALPHA specifies the scalar alpha.
> \endverbatim
>
> \param[in] X
> \verbatim
> X is DOUBLE PRECISION array, dimension at least
> ( 1 + ( n - 1 )*abs( INCX ) ).
> Before entry, the incremented array X must contain the n
> element vector x.
> \endverbatim
>
> \param[in] INCX
> \verbatim
> INCX is INTEGER
> On entry, INCX specifies the increment for the elements of
> X. INCX must not be zero.
> \endverbatim
>
> \param[in] Y
> \verbatim
> Y is DOUBLE PRECISION array, dimension at least
> ( 1 + ( n - 1 )*abs( INCY ) ).
> Before entry, the incremented array Y must contain the n
> element vector y.
> \endverbatim
>
> \param[in] INCY
> \verbatim
> INCY is INTEGER
> On entry, INCY specifies the increment for the elements of
> Y. INCY must not be zero.
> \endverbatim
>
> \param[in,out] A
> \verbatim
> A is DOUBLE PRECISION array, 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. On exit, the
> upper triangular part of the array A is overwritten by the
> upper triangular part of the updated matrix.
> 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. On exit, the
> lower triangular part of the array A is overwritten by the
> lower triangular part of the updated matrix.
> \endverbatim
>
> \param[in] LDA
> \verbatim
> LDA is 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 ).
> \endverbatim
Authors:
========
> \author Univ. of Tennessee
> \author Univ. of California Berkeley
> \author Univ. of Colorado Denver
> \author NAG Ltd.
> \ingroup her2
> \par Further Details:
=====================
>
> \verbatim
>
> 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.
> \endverbatim
>
=====================================================================
Subroutine */ int igraphdsyr2_(char *uplo, integer *n, doublereal *alpha,
doublereal *x, integer *incx, doublereal *y, integer *incy,
doublereal *a, integer *lda)
{
/* 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 igraphlsame_(char *, char *);
extern /* Subroutine */ int igraphxerbla_(char *, integer *, ftnlen);
/* -- Reference BLAS level2 routine --
-- Reference BLAS is a software package provided by Univ. of Tennessee, --
-- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
=====================================================================
Test the input parameters.
Parameter adjustments */
--x;
--y;
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
/* Function Body */
info = 0;
if (! igraphlsame_(uplo, "U") && ! igraphlsame_(uplo, "L")) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*incx == 0) {
info = 5;
} else if (*incy == 0) {
info = 7;
} else if (*lda < max(1,*n)) {
info = 9;
}
if (info != 0) {
igraphxerbla_("DSYR2 ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || *alpha == 0.) {
return 0;
}
/* Set up the start points in X and Y if the increments are not both
unity. */
if (*incx != 1 || *incy != 1) {
if (*incx > 0) {
kx = 1;
} else {
kx = 1 - (*n - 1) * *incx;
}
if (*incy > 0) {
ky = 1;
} else {
ky = 1 - (*n - 1) * *incy;
}
jx = kx;
jy = ky;
}
/* Start the operations. In this version the elements of A are
accessed sequentially with one pass through the triangular part
of A. */
if (igraphlsame_(uplo, "U")) {
/* Form A when A is stored in the upper triangle. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0. || y[j] != 0.) {
temp1 = *alpha * y[j];
temp2 = *alpha * x[j];
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
a[i__ + j * a_dim1] = a[i__ + j * a_dim1] + x[i__] *
temp1 + y[i__] * temp2;
/* L10: */
}
}
/* L20: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0. || y[jy] != 0.) {
temp1 = *alpha * y[jy];
temp2 = *alpha * x[jx];
ix = kx;
iy = ky;
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
a[i__ + j * a_dim1] = a[i__ + j * a_dim1] + x[ix] *
temp1 + y[iy] * temp2;
ix += *incx;
iy += *incy;
/* L30: */
}
}
jx += *incx;
jy += *incy;
/* L40: */
}
}
} else {
/* Form A when A is stored in the lower triangle. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0. || y[j] != 0.) {
temp1 = *alpha * y[j];
temp2 = *alpha * x[j];
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
a[i__ + j * a_dim1] = a[i__ + j * a_dim1] + x[i__] *
temp1 + y[i__] * temp2;
/* L50: */
}
}
/* L60: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0. || y[jy] != 0.) {
temp1 = *alpha * y[jy];
temp2 = *alpha * x[jx];
ix = jx;
iy = jy;
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
a[i__ + j * a_dim1] = a[i__ + j * a_dim1] + x[ix] *
temp1 + y[iy] * temp2;
ix += *incx;
iy += *incy;
/* L70: */
}
}
jx += *incx;
jy += *incy;
/* L80: */
}
}
}
return 0;
/* End of DSYR2 */
} /* igraphdsyr2_ */