mirror of
https://github.com/vale981/arb
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111 lines
4.7 KiB
C
111 lines
4.7 KiB
C
/*=============================================================================
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This file is part of ARB.
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ARB is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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ARB is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with ARB; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2013 Fredrik Johansson
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******************************************************************************/
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#ifndef GAMMA_H
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#define GAMMA_H
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#include <math.h>
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#include "flint.h"
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#include "fmprb.h"
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#include "fmpcb.h"
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extern __thread long * gamma_taylor_bound_mag_cache;
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extern __thread fmpr_struct * gamma_taylor_bound_ratio_cache;
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extern __thread long gamma_taylor_bound_cache_num;
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extern __thread fmprb_struct * gamma_taylor_coeffs;
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extern __thread long gamma_taylor_prec;
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extern __thread long gamma_taylor_num;
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void gamma_taylor_bound_ratio(fmpr_t r, long n);
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long gamma_taylor_bound_mag(long n);
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void gamma_taylor_bound_extend_cache(long n);
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static __inline__ long
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gamma_taylor_bound_cached(long n)
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{
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if (n >= gamma_taylor_bound_cache_num)
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gamma_taylor_bound_extend_cache(n);
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return gamma_taylor_bound_mag_cache[n];
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}
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void gamma_taylor_bound_remainder(fmpr_t err, const fmpr_t z, long n);
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static __inline__ long
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gamma_taylor_coeffs_for_prec(long prec)
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{
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long n = 5;
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while (gamma_taylor_bound_cached(n) - n > -prec)
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n++;
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return n;
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}
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void gamma_taylor_precompute(long num, long prec);
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void gamma_taylor_eval_series_fmprb(fmprb_t y, const fmprb_t x, long prec);
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void gamma_taylor_fmprb(fmprb_t y, const fmprb_t x, long prec);
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void gamma_stirling_choose_param_fmprb(int * reflect, long * r, long * n, const fmprb_t z, int use_reflect, int digamma, long prec);
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void gamma_stirling_choose_param_fmpcb(int * reflect, long * r, long * n, const fmpcb_t z, int use_reflect, int digamma, long prec);
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void gamma_stirling_coeff(fmprb_t b, ulong k, int digamma, long prec);
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void gamma_stirling_eval_series_fmprb(fmprb_t s, const fmprb_t z, long nterms, int digamma, long prec);
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void gamma_stirling_eval_series_fmpcb(fmpcb_t s, const fmpcb_t z, long nterms, int digamma, long prec);
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void gamma_rising_fmprb_ui_bsplit_simple(fmprb_t y, const fmprb_t x, ulong n, long prec);
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void gamma_rising_fmprb_ui_bsplit_eight(fmprb_t y, const fmprb_t x, ulong n, long prec);
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void gamma_rising_fmprb_ui_bsplit_rectangular(fmprb_t y, const fmprb_t x, ulong n, ulong step, long prec);
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void gamma_rising_fmprb_ui_bsplit(fmprb_t y, const fmprb_t x, ulong n, long prec);
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void gamma_rising_fmprb_ui_delta(fmprb_t y, const fmprb_t x, ulong n, ulong m, long prec);
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void gamma_rising_fmpcb_ui_delta(fmpcb_t y, const fmpcb_t x, ulong n, ulong m, long prec);
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void gamma_rising_fmpcb_ui_bsplit_simple(fmpcb_t y, const fmpcb_t x, ulong n, long prec);
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void gamma_rising_fmpcb_ui_bsplit_eight(fmpcb_t y, const fmpcb_t x, ulong n, long prec);
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void gamma_rising_fmpcb_ui_bsplit_rectangular(fmpcb_t y, const fmpcb_t x, ulong n, ulong step, long prec);
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void gamma_rising_fmpcb_ui_bsplit(fmpcb_t y, const fmpcb_t x, ulong n, long prec);
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void gamma_rising_fmprb_ui_multipoint(fmprb_t f, const fmprb_t c, ulong n, long prec);
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void gamma_rising_fmprb_fmpq_ui_bsplit(fmprb_t y, const fmpq_t x, ulong n, long prec);
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void gamma_harmonic_sum_fmprb_ui_bsplit_rectangular(fmprb_t y, const fmprb_t x, ulong n, ulong step, long prec);
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void gamma_harmonic_sum_fmprb_ui_bsplit_simple(fmprb_t y, const fmprb_t x, ulong n, long prec);
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void gamma_harmonic_sum_fmprb_ui_bsplit(fmprb_t y, const fmprb_t x, ulong n, long prec);
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void gamma_harmonic_sum_fmpcb_ui_bsplit_rectangular(fmpcb_t y, const fmpcb_t x, ulong n, ulong step, long prec);
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void gamma_harmonic_sum_fmpcb_ui_bsplit_simple(fmpcb_t y, const fmpcb_t x, ulong n, long prec);
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void gamma_harmonic_sum_fmpcb_ui_bsplit(fmpcb_t y, const fmpcb_t x, ulong n, long prec);
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void gamma_series_fmpq_hypgeom(fmprb_struct * res, const fmpq_t a, long len, long prec);
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void gamma_small_frac(fmprb_t y, unsigned int p, unsigned int q, long prec);
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void gamma_fmpq_outward(fmprb_t y, const fmpq_t x, long prec);
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void gamma_fmpq_stirling(fmprb_t y, const fmpq_t a, long prec);
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#endif
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