mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
75 lines
2.2 KiB
C
75 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) 2013 Fredrik Johansson
|
||
|
|
|
||
|
|
******************************************************************************/
|
||
|
|
|
||
|
|
#ifndef GAMMA_H
|
||
|
|
#define GAMMA_H
|
||
|
|
|
||
|
|
#include <math.h>
|
||
|
|
#include "flint.h"
|
||
|
|
#include "fmprb.h"
|
||
|
|
|
||
|
|
extern __thread long * gamma_taylor_bound_mag_cache;
|
||
|
|
extern __thread fmpr_struct * gamma_taylor_bound_ratio_cache;
|
||
|
|
extern __thread long gamma_taylor_bound_cache_num;
|
||
|
|
|
||
|
|
extern __thread fmprb_struct * gamma_taylor_coeffs;
|
||
|
|
extern __thread long gamma_taylor_prec;
|
||
|
|
extern __thread long gamma_taylor_num;
|
||
|
|
|
||
|
|
void gamma_taylor_bound_ratio(fmpr_t r, long n);
|
||
|
|
|
||
|
|
long gamma_taylor_bound_mag(long n);
|
||
|
|
|
||
|
|
void gamma_taylor_bound_extend_cache(long n);
|
||
|
|
|
||
|
|
static __inline__ long
|
||
|
|
gamma_taylor_bound_cached(long n)
|
||
|
|
{
|
||
|
|
if (n >= gamma_taylor_bound_cache_num)
|
||
|
|
gamma_taylor_bound_extend_cache(n);
|
||
|
|
|
||
|
|
return gamma_taylor_bound_mag_cache[n];
|
||
|
|
}
|
||
|
|
|
||
|
|
void gamma_taylor_bound_remainder(fmpr_t err, const fmpr_t z, long n);
|
||
|
|
|
||
|
|
static __inline__ long
|
||
|
|
gamma_taylor_coeffs_for_prec(long prec)
|
||
|
|
{
|
||
|
|
long n = 5;
|
||
|
|
while (gamma_taylor_bound_cached(n) - n > -prec)
|
||
|
|
n++;
|
||
|
|
return n;
|
||
|
|
}
|
||
|
|
|
||
|
|
void gamma_taylor_precompute(long num, long prec);
|
||
|
|
|
||
|
|
void gamma_taylor_eval_series_fmprb(fmprb_t y, const fmprb_t x, long prec);
|
||
|
|
|
||
|
|
void gamma_taylor_fmprb(fmprb_t y, const fmprb_t x, long prec);
|
||
|
|
|
||
|
|
#endif
|
||
|
|
|