arb/gamma/rising_fmprb_ui_bsplit_simple.c
2013-02-27 14:51:03 +01:00

94 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) 2013 Fredrik Johansson
******************************************************************************/
#include "gamma.h"
/* assumes y and x are not aliased */
static void
bsplit(fmprb_t y, const fmprb_t x, ulong a, ulong b, long prec)
{
if (b - a == 1)
{
fmprb_set_round(y, x, prec);
}
else if (b - a <= 10)
{
long i;
fmprb_t t;
fmprb_init(t);
fmprb_add_ui(t, x, a, prec);
fmprb_add_ui(y, x, a + 1, prec);
fmprb_mul(y, y, t, prec);
for (i = a + 2; i < b; i++)
{
fmprb_add_ui(t, x, i, prec);
fmprb_mul(y, y, t, prec);
}
fmprb_clear(t);
}
else
{
fmprb_t t, u;
ulong m = a + (b - a) / 2;
fmprb_init(t);
fmprb_init(u);
bsplit(t, x, a, m, prec);
bsplit(u, x, m, b, prec);
fmprb_mul(y, t, u, prec);
fmprb_clear(t);
fmprb_clear(u);
}
}
void
gamma_rising_fmprb_ui_bsplit_simple(fmprb_t y, const fmprb_t x, ulong n, long prec)
{
if (n == 0)
{
fmprb_one(y);
}
else if (n == 1)
{
fmprb_set_round(y, x, prec);
}
else
{
fmprb_t t;
long wp = FMPR_PREC_ADD(prec, FLINT_BIT_COUNT(n));
fmprb_init(t);
bsplit(t, x, 0, n, wp);
fmprb_set_round(y, t, prec);
fmprb_clear(t);
}
}