arb/fmprb/get_interval_fmpz_2exp.c
2012-09-10 17:07:41 +02:00

76 lines
2.3 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 "fmprb.h"
/*
Computes the exact interval represented by x, in the form of an integer
interval multiplied by a power of two, i.e. x = [a, b] * 2^exp.
The outcome is undefined if the midpoint or radius of x is non-finite,
or if the difference in magnitude between the midpoint and radius
is so large that representing the endpoints exactly would cause overflows.
*/
void
fmprb_get_interval_fmpz_2exp(fmpz_t a, fmpz_t b, fmpz_t exp, const fmprb_t x)
{
if (fmprb_is_exact(x))
{
fmpr_get_fmpz_2exp(a, exp, fmprb_midref(x));
fmpz_set(b, a);
}
else
{
fmpr_t t;
fmpz_t exp2;
long s;
fmpr_init(t);
fmpz_init(exp2);
fmpr_sub(t, fmprb_midref(x), fmprb_radref(x), FMPR_PREC_EXACT, FMPR_RND_DOWN);
fmpr_get_fmpz_2exp(a, exp, t);
fmpr_add(t, fmprb_midref(x), fmprb_radref(x), FMPR_PREC_EXACT, FMPR_RND_DOWN);
fmpr_get_fmpz_2exp(b, exp2, t);
s = _fmpz_sub_small(exp, exp2);
if (s <= 0)
{
fmpz_mul_2exp(b, b, -s);
}
else
{
fmpz_mul_2exp(a, a, s);
fmpz_set(exp, exp2);
}
fmpr_clear(t);
fmpz_clear(exp2);
}
}