arb/fmprb/const_pi_chudnovsky.c

54 lines
1.8 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"
#include "hypgeom.h"
void
fmprb_const_pi_chudnovsky(fmprb_t s, long prec)
{
hypgeom_t series;
fmprb_t t, u;
fmprb_init(t);
fmprb_init(u);
hypgeom_init(series);
fmpz_poly_set_str(series->A, "2 13591409 545140134");
fmpz_poly_set_str(series->B, "1 1");
fmpz_poly_set_str(series->P, "4 5 -46 108 -72");
fmpz_poly_set_str(series->Q, "4 0 0 0 10939058860032000");
prec += FLINT_CLOG2(prec);
fmprb_hypgeom_infsum(s, t, series, prec, prec);
fmprb_sqrt_ui(u, 640320, prec);
fmprb_mul_ui(u, u, 640320 / 12, prec);
fmprb_mul(u, u, t, prec);
fmprb_div(s, u, s, prec);
hypgeom_clear(series);
fmprb_clear(t);
fmprb_clear(u);
}