mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
94 lines
2.3 KiB
C
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) 2014 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#include "acb.h"
|
|
|
|
/* assumes y and x are not aliased */
|
|
static void
|
|
bsplit(acb_t y, const acb_t x, ulong a, ulong b, slong prec)
|
|
{
|
|
if (b - a == 1)
|
|
{
|
|
acb_set_round(y, x, prec);
|
|
}
|
|
else if (b - a <= 10)
|
|
{
|
|
slong i;
|
|
acb_t t;
|
|
acb_init(t);
|
|
|
|
acb_add_ui(t, x, a, prec);
|
|
acb_add_ui(y, x, a + 1, prec);
|
|
acb_mul(y, y, t, prec);
|
|
|
|
for (i = a + 2; i < b; i++)
|
|
{
|
|
acb_add_ui(t, x, i, prec);
|
|
acb_mul(y, y, t, prec);
|
|
}
|
|
|
|
acb_clear(t);
|
|
}
|
|
else
|
|
{
|
|
acb_t t, u;
|
|
ulong m = a + (b - a) / 2;
|
|
|
|
acb_init(t);
|
|
acb_init(u);
|
|
|
|
bsplit(t, x, a, m, prec);
|
|
bsplit(u, x, m, b, prec);
|
|
|
|
acb_mul(y, t, u, prec);
|
|
|
|
acb_clear(t);
|
|
acb_clear(u);
|
|
}
|
|
}
|
|
|
|
void
|
|
acb_rising_ui_bs(acb_t y, const acb_t x, ulong n, slong prec)
|
|
{
|
|
if (n == 0)
|
|
{
|
|
acb_one(y);
|
|
}
|
|
else if (n == 1)
|
|
{
|
|
acb_set_round(y, x, prec);
|
|
}
|
|
else
|
|
{
|
|
acb_t t;
|
|
slong wp = ARF_PREC_ADD(prec, FLINT_BIT_COUNT(n));
|
|
|
|
acb_init(t);
|
|
bsplit(t, x, 0, n, wp);
|
|
acb_set_round(y, t, prec);
|
|
acb_clear(t);
|
|
}
|
|
}
|
|
|