arb/fmprb/bin.c
2012-09-03 11:49:25 +02:00

86 lines
2.2 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"
static void
fmprb_bin_ui_bsplit(fmprb_t P, fmprb_t Q,
const fmprb_t n, ulong a, ulong b, ulong k, long prec)
{
if (b - a == 1)
{
fmprb_sub_ui(P, n, k - b, prec);
fmprb_set_ui(Q, b);
}
else
{
fmprb_t R, S;
long m = a + (b - a) / 2;
fmprb_init(R);
fmprb_init(S);
fmprb_bin_ui_bsplit(P, Q, n, a, m, k, prec);
fmprb_bin_ui_bsplit(R, S, n, m, b, k, prec);
fmprb_mul(P, P, R, prec);
fmprb_mul(Q, Q, S, prec);
fmprb_clear(R);
fmprb_clear(S);
}
}
void
fmprb_bin_ui(fmprb_t x, const fmprb_t n, ulong k, long prec)
{
if (k == 0)
{
fmprb_set_ui(x, 1UL);
}
else
{
fmprb_t P, Q;
fmprb_init(P);
fmprb_init(Q);
fmprb_bin_ui_bsplit(P, Q, n, 0, k, k, prec + FLINT_BIT_COUNT(k));
fmprb_div(x, P, Q, prec);
fmprb_clear(P);
fmprb_clear(Q);
}
}
void
fmprb_bin_uiui(fmprb_t x, ulong n, ulong k, long prec)
{
fmprb_t t;
fmprb_init(t);
fmprb_set_ui(t, n);
fmprb_bin_ui(x, t, k, prec);
fmprb_clear(t);
}