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/* lapack/double/dlartg.f -- translated by f2c (version 20050501).
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 "v3p_netlib.h"
/* Initialization function just calls the function once so that its
runtime-initialized constants are initialized. After the first
call it is safe to call the function from multiple threads at
once. */
void v3p_netlib_dlartg_init()
{
doublereal f=0, g=0, cs=0, sn=0, r=0;
dlartg_(&f, &g, &cs, &sn, &r);
}
/*< SUBROUTINE DLARTG( F, G, CS, SN, R ) >*/
/* Subroutine */ int dlartg_(doublereal *f, doublereal *g, doublereal *cs,
doublereal *sn, doublereal *r__)
{
/* Initialized data */
static logical first = TRUE_; /* runtime-initialized constant */
/* System generated locals */
integer i__1;
doublereal d__1, d__2;
/* Builtin functions */
double log(doublereal), pow_di(doublereal *, integer *), sqrt(doublereal);
/* Local variables */
integer i__;
doublereal f1, g1, eps, scale;
integer count;
static doublereal safmn2, safmx2; /* runtime-initialized constant */
extern doublereal dlamch_(char *, ftnlen);
static doublereal safmin; /* runtime-initialized constant */
/* -- LAPACK auxiliary routine (version 3.0) -- */
/* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., */
/* Courant Institute, Argonne National Lab, and Rice University */
/* September 30, 1994 */
/* .. Scalar Arguments .. */
/*< DOUBLE PRECISION CS, F, G, R, SN >*/
/* .. */
/* Purpose */
/* ======= */
/* DLARTG generate a plane rotation so that */
/* [ CS SN ] . [ F ] = [ R ] where CS**2 + SN**2 = 1. */
/* [ -SN CS ] [ G ] [ 0 ] */
/* This is a slower, more accurate version of the BLAS1 routine DROTG, */
/* with the following other differences: */
/* F and G are unchanged on return. */
/* If G=0, then CS=1 and SN=0. */
/* If F=0 and (G .ne. 0), then CS=0 and SN=1 without doing any */
/* floating point operations (saves work in DBDSQR when */
/* there are zeros on the diagonal). */
/* If F exceeds G in magnitude, CS will be positive. */
/* Arguments */
/* ========= */
/* F (input) DOUBLE PRECISION */
/* The first component of vector to be rotated. */
/* G (input) DOUBLE PRECISION */
/* The second component of vector to be rotated. */
/* CS (output) DOUBLE PRECISION */
/* The cosine of the rotation. */
/* SN (output) DOUBLE PRECISION */
/* The sine of the rotation. */
/* R (output) DOUBLE PRECISION */
/* The nonzero component of the rotated vector. */
/* ===================================================================== */
/* .. Parameters .. */
/*< DOUBLE PRECISION ZERO >*/
/*< PARAMETER ( ZERO = 0.0D0 ) >*/
/*< DOUBLE PRECISION ONE >*/
/*< PARAMETER ( ONE = 1.0D0 ) >*/
/*< DOUBLE PRECISION TWO >*/
/*< PARAMETER ( TWO = 2.0D0 ) >*/
/* .. */
/* .. Local Scalars .. */
/*< LOGICAL FIRST >*/
/*< INTEGER COUNT, I >*/
/*< DOUBLE PRECISION EPS, F1, G1, SAFMIN, SAFMN2, SAFMX2, SCALE >*/
/* .. */
/* .. External Functions .. */
/*< DOUBLE PRECISION DLAMCH >*/
/*< EXTERNAL DLAMCH >*/
/* .. */
/* .. Intrinsic Functions .. */
/*< INTRINSIC ABS, INT, LOG, MAX, SQRT >*/
/* .. */
/* .. Save statement .. */
/*< SAVE FIRST, SAFMX2, SAFMIN, SAFMN2 >*/
/* .. */
/* .. Data statements .. */
/*< DATA FIRST / .TRUE. / >*/
/* .. */
/* .. Executable Statements .. */
/*< IF( FIRST ) THEN >*/
if (first) {
/*< FIRST = .FALSE. >*/
first = FALSE_;
/*< SAFMIN = DLAMCH( 'S' ) >*/
safmin = dlamch_("S", (ftnlen)1);
/*< EPS = DLAMCH( 'E' ) >*/
eps = dlamch_("E", (ftnlen)1);
/*< >*/
d__1 = dlamch_("B", (ftnlen)1);
i__1 = (integer) (log(safmin / eps) / log(dlamch_("B", (ftnlen)1)) /
2.);
safmn2 = pow_di(&d__1, &i__1);
/*< SAFMX2 = ONE / SAFMN2 >*/
safmx2 = 1. / safmn2;
/*< END IF >*/
}
/*< IF( G.EQ.ZERO ) THEN >*/
if (*g == 0.) {
/*< CS = ONE >*/
*cs = 1.;
/*< SN = ZERO >*/
*sn = 0.;
/*< R = F >*/
*r__ = *f;
/*< ELSE IF( F.EQ.ZERO ) THEN >*/
} else if (*f == 0.) {
/*< CS = ZERO >*/
*cs = 0.;
/*< SN = ONE >*/
*sn = 1.;
/*< R = G >*/
*r__ = *g;
/*< ELSE >*/
} else {
/*< F1 = F >*/
f1 = *f;
/*< G1 = G >*/
g1 = *g;
/*< SCALE = MAX( ABS( F1 ), ABS( G1 ) ) >*/
/* Computing MAX */
d__1 = abs(f1), d__2 = abs(g1);
scale = max(d__1,d__2);
/*< IF( SCALE.GE.SAFMX2 ) THEN >*/
if (scale >= safmx2) {
/*< COUNT = 0 >*/
count = 0;
/*< 10 CONTINUE >*/
L10:
/*< COUNT = COUNT + 1 >*/
++count;
/*< F1 = F1*SAFMN2 >*/
f1 *= safmn2;
/*< G1 = G1*SAFMN2 >*/
g1 *= safmn2;
/*< SCALE = MAX( ABS( F1 ), ABS( G1 ) ) >*/
/* Computing MAX */
d__1 = abs(f1), d__2 = abs(g1);
scale = max(d__1,d__2);
/*< >*/
if (scale >= safmx2) {
goto L10;
}
/*< R = SQRT( F1**2+G1**2 ) >*/
/* Computing 2nd power */
d__1 = f1;
/* Computing 2nd power */
d__2 = g1;
*r__ = sqrt(d__1 * d__1 + d__2 * d__2);
/*< CS = F1 / R >*/
*cs = f1 / *r__;
/*< SN = G1 / R >*/
*sn = g1 / *r__;
/*< DO 20 I = 1, COUNT >*/
i__1 = count;
for (i__ = 1; i__ <= i__1; ++i__) {
/*< R = R*SAFMX2 >*/
*r__ *= safmx2;
/*< 20 CONTINUE >*/
/* L20: */
}
/*< ELSE IF( SCALE.LE.SAFMN2 ) THEN >*/
} else if (scale <= safmn2) {
/*< COUNT = 0 >*/
count = 0;
/*< 30 CONTINUE >*/
L30:
/*< COUNT = COUNT + 1 >*/
++count;
/*< F1 = F1*SAFMX2 >*/
f1 *= safmx2;
/*< G1 = G1*SAFMX2 >*/
g1 *= safmx2;
/*< SCALE = MAX( ABS( F1 ), ABS( G1 ) ) >*/
/* Computing MAX */
d__1 = abs(f1), d__2 = abs(g1);
scale = max(d__1,d__2);
/*< >*/
if (scale <= safmn2) {
goto L30;
}
/*< R = SQRT( F1**2+G1**2 ) >*/
/* Computing 2nd power */
d__1 = f1;
/* Computing 2nd power */
d__2 = g1;
*r__ = sqrt(d__1 * d__1 + d__2 * d__2);
/*< CS = F1 / R >*/
*cs = f1 / *r__;
/*< SN = G1 / R >*/
*sn = g1 / *r__;
/*< DO 40 I = 1, COUNT >*/
i__1 = count;
for (i__ = 1; i__ <= i__1; ++i__) {
/*< R = R*SAFMN2 >*/
*r__ *= safmn2;
/*< 40 CONTINUE >*/
/* L40: */
}
/*< ELSE >*/
} else {
/*< R = SQRT( F1**2+G1**2 ) >*/
/* Computing 2nd power */
d__1 = f1;
/* Computing 2nd power */
d__2 = g1;
*r__ = sqrt(d__1 * d__1 + d__2 * d__2);
/*< CS = F1 / R >*/
*cs = f1 / *r__;
/*< SN = G1 / R >*/
*sn = g1 / *r__;
/*< END IF >*/
}
/*< IF( ABS( F ).GT.ABS( G ) .AND. CS.LT.ZERO ) THEN >*/
if (abs(*f) > abs(*g) && *cs < 0.) {
/*< CS = -CS >*/
*cs = -(*cs);
/*< SN = -SN >*/
*sn = -(*sn);
/*< R = -R >*/
*r__ = -(*r__);
/*< END IF >*/
}
/*< END IF >*/
}
/*< RETURN >*/
return 0;
/* End of DLARTG */
/*< END >*/
} /* dlartg_ */
#ifdef __cplusplus
}
#endif
|
