arb/fmprb/contains.c
2013-08-06 17:20:21 +02:00

104 lines
2.9 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, 2013 Fredrik Johansson
******************************************************************************/
#include "fmprb.h"
int
fmprb_contains(const fmprb_t x, const fmprb_t y)
{
fmpr_t t;
fmpr_t u;
fmpr_struct tmp[4];
int left_ok, right_ok;
if (fmprb_is_exact(y))
return fmprb_contains_fmpr(x, fmprb_midref(y));
if (fmpr_is_nan(fmprb_midref(y)))
return fmpr_is_nan(fmprb_midref(x));
fmpr_init(t);
fmpr_init(u);
/* fast check */
fmpr_sub(t, fmprb_midref(x), fmprb_radref(x), 30, FMPR_RND_CEIL);
fmpr_sub(u, fmprb_midref(y), fmprb_radref(y), 30, FMPR_RND_FLOOR);
left_ok = fmpr_cmp(t, u) <= 0;
/* exact check */
if (!left_ok)
{
fmpr_init(tmp + 0);
fmpr_init(tmp + 1);
fmpr_init(tmp + 2);
fmpr_init(tmp + 3);
fmpr_set(tmp + 0, fmprb_midref(x));
fmpr_neg(tmp + 1, fmprb_radref(x));
fmpr_neg(tmp + 2, fmprb_midref(y));
fmpr_set(tmp + 3, fmprb_radref(y));
fmpr_sum(t, tmp, 4, 30, FMPR_RND_DOWN);
left_ok = fmpr_sgn(t) <= 0;
fmpr_clear(tmp + 0);
fmpr_clear(tmp + 1);
fmpr_clear(tmp + 2);
fmpr_clear(tmp + 3);
}
/* fast check */
fmpr_add(t, fmprb_midref(x), fmprb_radref(x), 30, FMPR_RND_FLOOR);
fmpr_add(u, fmprb_midref(y), fmprb_radref(y), 30, FMPR_RND_CEIL);
right_ok = (fmpr_cmp(t, u) >= 0);
/* exact check */
if (!right_ok)
{
fmpr_init(tmp + 0);
fmpr_init(tmp + 1);
fmpr_init(tmp + 2);
fmpr_init(tmp + 3);
fmpr_set(tmp + 0, fmprb_midref(x));
fmpr_set(tmp + 1, fmprb_radref(x));
fmpr_neg(tmp + 2, fmprb_midref(y));
fmpr_neg(tmp + 3, fmprb_radref(y));
fmpr_sum(t, tmp, 4, 30, FMPR_RND_DOWN);
right_ok = fmpr_sgn(t) >= 0;
fmpr_clear(tmp + 0);
fmpr_clear(tmp + 1);
fmpr_clear(tmp + 2);
fmpr_clear(tmp + 3);
}
fmpr_clear(t);
fmpr_clear(u);
return left_ok && right_ok;
}