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lammps/lib/linalg/dznrm2.cpp
2022-12-28 13:18:38 -05:00

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/* fortran/dznrm2.f -- translated by f2c (version 20200916).
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
*/
#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"
/* > \brief \b DZNRM2 */
/* =========== DOCUMENTATION =========== */
/* Online html documentation available at */
/* http://www.netlib.org/lapack/explore-html/ */
/* Definition: */
/* =========== */
/* DOUBLE PRECISION FUNCTION DZNRM2(N,X,INCX) */
/* .. Scalar Arguments .. */
/* INTEGER INCX,N */
/* .. */
/* .. Array Arguments .. */
/* COMPLEX*16 X(*) */
/* .. */
/* > \par Purpose: */
/* ============= */
/* > */
/* > \verbatim */
/* > */
/* > DZNRM2 returns the euclidean norm of a vector via the function */
/* > name, so that */
/* > */
/* > DZNRM2 := sqrt( x**H*x ) */
/* > \endverbatim */
/* Arguments: */
/* ========== */
/* > \param[in] N */
/* > \verbatim */
/* > N is INTEGER */
/* > number of elements in input vector(s) */
/* > \endverbatim */
/* > */
/* > \param[in] X */
/* > \verbatim */
/* > X is COMPLEX*16 array, dimension (N) */
/* > complex vector with N elements */
/* > \endverbatim */
/* > */
/* > \param[in] INCX */
/* > \verbatim */
/* > INCX is INTEGER */
/* > storage spacing between elements of X */
/* > \endverbatim */
/* Authors: */
/* ======== */
/* > \author Univ. of Tennessee */
/* > \author Univ. of California Berkeley */
/* > \author Univ. of Colorado Denver */
/* > \author NAG Ltd. */
/* > \date December 2016 */
/* > \ingroup double_blas_level1 */
/* > \par Further Details: */
/* ===================== */
/* > */
/* > \verbatim */
/* > */
/* > -- This version written on 25-October-1982. */
/* > Modified on 14-October-1993 to inline the call to ZLASSQ. */
/* > Sven Hammarling, Nag Ltd. */
/* > \endverbatim */
/* > */
/* ===================================================================== */
doublereal dznrm2_(integer *n, doublecomplex *x, integer *incx)
{
/* System generated locals */
integer i__1, i__2, i__3;
doublereal ret_val, d__1;
/* Builtin functions */
double d_imag(doublecomplex *), sqrt(doublereal);
/* Local variables */
integer ix;
doublereal ssq, temp, norm, scale;
/* -- Reference BLAS level1 routine (version 3.7.0) -- */
/* -- Reference BLAS is a software package provided by Univ. of Tennessee, -- */
/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
/* December 2016 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* Parameter adjustments */
--x;
/* Function Body */
if (*n < 1 || *incx < 1) {
norm = 0.;
} else {
scale = 0.;
ssq = 1.;
/* The following loop is equivalent to this call to the LAPACK */
/* auxiliary routine: */
/* CALL ZLASSQ( N, X, INCX, SCALE, SSQ ) */
i__1 = (*n - 1) * *incx + 1;
i__2 = *incx;
for (ix = 1; i__2 < 0 ? ix >= i__1 : ix <= i__1; ix += i__2) {
i__3 = ix;
if (x[i__3].r != 0.) {
i__3 = ix;
temp = (d__1 = x[i__3].r, abs(d__1));
if (scale < temp) {
/* Computing 2nd power */
d__1 = scale / temp;
ssq = ssq * (d__1 * d__1) + 1.;
scale = temp;
} else {
/* Computing 2nd power */
d__1 = temp / scale;
ssq += d__1 * d__1;
}
}
if (d_imag(&x[ix]) != 0.) {
temp = (d__1 = d_imag(&x[ix]), abs(d__1));
if (scale < temp) {
/* Computing 2nd power */
d__1 = scale / temp;
ssq = ssq * (d__1 * d__1) + 1.;
scale = temp;
} else {
/* Computing 2nd power */
d__1 = temp / scale;
ssq += d__1 * d__1;
}
}
/* L10: */
}
norm = scale * sqrt(ssq);
}
ret_val = norm;
return ret_val;
/* End of DZNRM2. */
} /* dznrm2_ */
#ifdef __cplusplus
}
#endif