arb/fmpr/log.c
2012-09-02 06:09:40 +02:00

85 lines
2.2 KiB
C

/*=============================================================================
This file is part of ARB.
ARB is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
ARB is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2012 Fredrik Johansson
******************************************************************************/
#include "fmpr.h"
static mpfr_rnd_t fmpr_rnd_to_mpfr(fmpr_rnd_t rnd)
{
if (rnd == FMPR_RND_NEAR) return MPFR_RNDN;
if (rnd == FMPR_RND_FLOOR) return MPFR_RNDD;
if (rnd == FMPR_RND_CEIL) return MPFR_RNDU;
if (rnd == FMPR_RND_DOWN) return MPFR_RNDZ;
if (rnd == FMPR_RND_UP) return MPFR_RNDA;
abort();
}
long
fmpr_log(fmpr_t y, const fmpr_t x, long prec, fmpr_rnd_t rnd)
{
if (fmpr_is_special(x))
{
if (fmpr_is_zero(x))
fmpr_neg_inf(y);
else if (fmpr_is_pos_inf(x))
fmpr_pos_inf(y);
else
fmpr_nan(y);
return FMPR_RESULT_EXACT;
}
if (fmpr_sgn(x) < 0)
{
fmpr_nan(y);
return FMPR_RESULT_EXACT;
}
if (fmpr_is_one(x))
{
fmpr_zero(y);
return FMPR_RESULT_EXACT;
}
{
mpfr_t t, u;
long r;
mpfr_init2(t, 1 + fmpz_bits(fmpr_manref(x)));
mpfr_init2(u, FLINT_MAX(2, prec));
fmpr_get_mpfr(t, x, MPFR_RNDD);
mpfr_log(u, t, fmpr_rnd_to_mpfr(rnd));
fmpr_set_mpfr(y, u);
r = prec - fmpz_bits(fmpr_manref(y));
mpfr_clear(t);
mpfr_clear(u);
return r;
}
}