arb/fmpr/ulp.c
Fredrik Johansson 0244fe0e46 Fix evil bug in floating-point arithmetic and strengthen test code.
When rounding up, the error bound sometimes came out as 1/2 ulp instead of 1 ulp due to the mantissa rounding up to the next power of two, without a corresponding exponent correction. Fortunately, this should not affect ball arithmetic (which always rounds down).
2014-04-18 16:19:53 +02:00

46 lines
1.4 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) 2014 Fredrik Johansson
******************************************************************************/
#include "fmpr.h"
void
fmpr_ulp(fmpr_t u, const fmpr_t x, long prec)
{
if (fmpr_is_special(x))
{
fmpr_abs(u, x);
}
else
{
fmpz_t e;
fmpz_init(e);
fmpz_add_ui(e, fmpr_expref(x), fmpz_bits(fmpr_manref(x)));
fmpz_sub_ui(e, e, prec);
fmpz_one(fmpr_manref(u));
fmpz_set(fmpr_expref(u), e);
fmpz_clear(e);
}
}