arb/acb/sin_cos.c

/*
    Copyright (C) 2012 Fredrik Johansson

    This file is part of Arb.

    Arb is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 2.1 of the License, or
    (at your option) any later version.  See <http://www.gnu.org/licenses/>.
*/

#include "acb.h"

void
acb_sin_cos(acb_t s, acb_t c, const acb_t z, slong prec)
{
#define a acb_realref(z)
#define b acb_imagref(z)

    arb_t sa, ca, sb, cb;

    arb_init(sa);
    arb_init(ca);
    arb_init(sb);
    arb_init(cb);

    arb_sin_cos(sa, ca, a, prec);
    arb_sinh_cosh(sb, cb, b, prec);

    arb_mul(acb_realref(s), sa, cb, prec);
    arb_mul(acb_imagref(s), sb, ca, prec);

    arb_mul(acb_realref(c), ca, cb, prec);
    arb_mul(acb_imagref(c), sa, sb, prec);
    arb_neg(acb_imagref(c), acb_imagref(c));

    arb_clear(sa);
    arb_clear(ca);
    arb_clear(sb);
    arb_clear(cb);
}