/* -- translated by f2c (version 20100827). 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 DLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. =========== DOCUMENTATION =========== Online html documentation available at http://www.netlib.org/lapack/explore-html/ > \htmlonly > Download DLADIV + dependencies > > [TGZ] > > [ZIP] > > [TXT] > \endhtmlonly Definition: =========== SUBROUTINE DLADIV( A, B, C, D, P, Q ) DOUBLE PRECISION A, B, C, D, P, Q > \par Purpose: ============= > > \verbatim > > DLADIV performs complex division in real arithmetic > > a + i*b > p + i*q = --------- > c + i*d > > The algorithm is due to Michael Baudin and Robert L. Smith > and can be found in the paper > "A Robust Complex Division in Scilab" > \endverbatim Arguments: ========== > \param[in] A > \verbatim > A is DOUBLE PRECISION > \endverbatim > > \param[in] B > \verbatim > B is DOUBLE PRECISION > \endverbatim > > \param[in] C > \verbatim > C is DOUBLE PRECISION > \endverbatim > > \param[in] D > \verbatim > D is DOUBLE PRECISION > The scalars a, b, c, and d in the above expression. > \endverbatim > > \param[out] P > \verbatim > P is DOUBLE PRECISION > \endverbatim > > \param[out] Q > \verbatim > Q is DOUBLE PRECISION > The scalars p and q in the above expression. > \endverbatim Authors: ======== > \author Univ. of Tennessee > \author Univ. of California Berkeley > \author Univ. of Colorado Denver > \author NAG Ltd. > \date January 2013 > \ingroup auxOTHERauxiliary ===================================================================== Subroutine */ int igraphdladiv_(doublereal *a, doublereal *b, doublereal *c__, doublereal *d__, doublereal *p, doublereal *q) { /* System generated locals */ doublereal d__1, d__2; /* Local variables */ doublereal s, aa, ab, bb, cc, cd, dd, be, un, ov, eps; extern doublereal igraphdlamch_(char *); extern /* Subroutine */ int dladiv1_(doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *); /* -- LAPACK auxiliary routine (version 3.5.0) -- -- LAPACK is a software package provided by Univ. of Tennessee, -- -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- January 2013 ===================================================================== */ aa = *a; bb = *b; cc = *c__; dd = *d__; /* Computing MAX */ d__1 = abs(*a), d__2 = abs(*b); ab = max(d__1,d__2); /* Computing MAX */ d__1 = abs(*c__), d__2 = abs(*d__); cd = max(d__1,d__2); s = 1.; ov = igraphdlamch_("Overflow threshold"); un = igraphdlamch_("Safe minimum"); eps = igraphdlamch_("Epsilon"); be = 2. / (eps * eps); if (ab >= ov * .5) { aa *= .5; bb *= .5; s *= 2.; } if (cd >= ov * .5) { cc *= .5; dd *= .5; s *= .5; } if (ab <= un * 2. / eps) { aa *= be; bb *= be; s /= be; } if (cd <= un * 2. / eps) { cc *= be; dd *= be; s *= be; } if (abs(*d__) <= abs(*c__)) { dladiv1_(&aa, &bb, &cc, &dd, p, q); } else { dladiv1_(&bb, &aa, &dd, &cc, p, q); *q = -(*q); } *p *= s; *q *= s; return 0; /* End of DLADIV */ } /* igraphdladiv_ Subroutine */ int dladiv1_(doublereal *a, doublereal *b, doublereal *c__, doublereal *d__, doublereal *p, doublereal *q) { doublereal r__, t; extern doublereal dladiv2_(doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *); /* -- LAPACK auxiliary routine (version 3.5.0) -- -- LAPACK is a software package provided by Univ. of Tennessee, -- -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- January 2013 ===================================================================== */ r__ = *d__ / *c__; t = 1. / (*c__ + *d__ * r__); *p = dladiv2_(a, b, c__, d__, &r__, &t); *a = -(*a); *q = dladiv2_(b, a, c__, d__, &r__, &t); return 0; /* End of DLADIV1 */ } /* dladiv1_ */ doublereal dladiv2_(doublereal *a, doublereal *b, doublereal *c__, doublereal *d__, doublereal *r__, doublereal *t) { /* System generated locals */ doublereal ret_val; /* Local variables */ doublereal br; /* -- LAPACK auxiliary routine (version 3.5.0) -- -- LAPACK is a software package provided by Univ. of Tennessee, -- -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- January 2013 ===================================================================== */ if (*r__ != 0.) { br = *b * *r__; if (br != 0.) { ret_val = (*a + br) * *t; } else { ret_val = *a * *t + *b * *t * *r__; } } else { ret_val = (*a + *d__ * (*b / *c__)) * *t; } return ret_val; /* End of DLADIV12 */ } /* dladiv2_ */