18fa80f29Smrg /* mpc_mul_i -- Multiply a complex number by plus or minus i.
28fa80f29Smrg
3*39f28e1eSmrg Copyright (C) 2005, 2009, 2010, 2011, 2012 INRIA
48fa80f29Smrg
58fa80f29Smrg This file is part of GNU MPC.
68fa80f29Smrg
78fa80f29Smrg GNU MPC is free software; you can redistribute it and/or modify it under
88fa80f29Smrg the terms of the GNU Lesser General Public License as published by the
98fa80f29Smrg Free Software Foundation; either version 3 of the License, or (at your
108fa80f29Smrg option) any later version.
118fa80f29Smrg
128fa80f29Smrg GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY
138fa80f29Smrg WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
148fa80f29Smrg FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
158fa80f29Smrg more details.
168fa80f29Smrg
178fa80f29Smrg You should have received a copy of the GNU Lesser General Public License
188fa80f29Smrg along with this program. If not, see http://www.gnu.org/licenses/ .
198fa80f29Smrg */
208fa80f29Smrg
218fa80f29Smrg #include "mpc-impl.h"
228fa80f29Smrg
238fa80f29Smrg int
mpc_mul_i(mpc_ptr a,mpc_srcptr b,int sign,mpc_rnd_t rnd)248fa80f29Smrg mpc_mul_i (mpc_ptr a, mpc_srcptr b, int sign, mpc_rnd_t rnd)
258fa80f29Smrg /* if sign is >= 0, multiply by i, otherwise by -i */
268fa80f29Smrg {
278fa80f29Smrg int inex_re, inex_im;
288fa80f29Smrg mpfr_t tmp;
298fa80f29Smrg
308fa80f29Smrg /* Treat the most probable case of compatible precisions first */
318fa80f29Smrg if ( MPC_PREC_RE (b) == MPC_PREC_IM (a)
328fa80f29Smrg && MPC_PREC_IM (b) == MPC_PREC_RE (a))
338fa80f29Smrg {
348fa80f29Smrg if (a == b)
358fa80f29Smrg mpfr_swap (mpc_realref (a), mpc_imagref (a));
368fa80f29Smrg else
378fa80f29Smrg {
38*39f28e1eSmrg mpfr_set (mpc_realref (a), mpc_imagref (b), MPFR_RNDN);
39*39f28e1eSmrg mpfr_set (mpc_imagref (a), mpc_realref (b), MPFR_RNDN);
408fa80f29Smrg }
418fa80f29Smrg if (sign >= 0)
428fa80f29Smrg MPFR_CHANGE_SIGN (mpc_realref (a));
438fa80f29Smrg else
448fa80f29Smrg MPFR_CHANGE_SIGN (mpc_imagref (a));
458fa80f29Smrg inex_re = 0;
468fa80f29Smrg inex_im = 0;
478fa80f29Smrg }
488fa80f29Smrg else
498fa80f29Smrg {
508fa80f29Smrg if (a == b)
518fa80f29Smrg {
528fa80f29Smrg mpfr_init2 (tmp, MPC_PREC_RE (a));
538fa80f29Smrg if (sign >= 0)
548fa80f29Smrg {
558fa80f29Smrg inex_re = mpfr_neg (tmp, mpc_imagref (b), MPC_RND_RE (rnd));
568fa80f29Smrg inex_im = mpfr_set (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd));
578fa80f29Smrg }
588fa80f29Smrg else
598fa80f29Smrg {
608fa80f29Smrg inex_re = mpfr_set (tmp, mpc_imagref (b), MPC_RND_RE (rnd));
618fa80f29Smrg inex_im = mpfr_neg (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd));
628fa80f29Smrg }
638fa80f29Smrg mpfr_clear (mpc_realref (a));
648fa80f29Smrg mpc_realref (a)[0] = tmp [0];
658fa80f29Smrg }
668fa80f29Smrg else
678fa80f29Smrg if (sign >= 0)
688fa80f29Smrg {
698fa80f29Smrg inex_re = mpfr_neg (mpc_realref (a), mpc_imagref (b), MPC_RND_RE (rnd));
708fa80f29Smrg inex_im = mpfr_set (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd));
718fa80f29Smrg }
728fa80f29Smrg else
738fa80f29Smrg {
748fa80f29Smrg inex_re = mpfr_set (mpc_realref (a), mpc_imagref (b), MPC_RND_RE (rnd));
758fa80f29Smrg inex_im = mpfr_neg (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd));
768fa80f29Smrg }
778fa80f29Smrg }
788fa80f29Smrg
798fa80f29Smrg return MPC_INEX(inex_re, inex_im);
808fa80f29Smrg }
81