mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
114 lines
3.2 KiB
C
114 lines
3.2 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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#include "arb_poly.h"
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void
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_arb_poly_sinh_cosh_series_exponential(arb_ptr s, arb_ptr c,
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const arb_srcptr h, slong hlen, slong len, slong prec)
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{
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arb_ptr t, u, v;
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arb_t s0, c0;
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hlen = FLINT_MIN(hlen, len);
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if (hlen == 1)
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{
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arb_sinh_cosh(s, c, h, prec);
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_arb_vec_zero(s + 1, len - 1);
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_arb_vec_zero(c + 1, len - 1);
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return;
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}
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arb_init(s0);
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arb_init(c0);
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t = _arb_vec_init(3 * len);
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u = t + len;
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v = u + len;
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arb_sinh_cosh(s0, c0, h, prec);
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_arb_vec_set(t + 1, h + 1, hlen - 1);
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_arb_poly_exp_series(t, t, len, len, prec);
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/* todo: part of the inverse could be avoided since exp computes
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it internally to half the length */
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_arb_poly_inv_series(u, t, len, len, prec);
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/* hyperbolic sine */
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_arb_vec_sub(s, t, u, len, prec);
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_arb_vec_scalar_mul_2exp_si(s, s, len, -1);
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/* hyperbolic cosine */
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_arb_vec_add(c, t, u, len, prec);
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_arb_vec_scalar_mul_2exp_si(c, c, len, -1);
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/* sinh(h0 + h1) = cosh(h0) sinh(h1) + sinh(h0) cosh(h1)
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cosh(h0 + h1) = cosh(h0) cosh(h1) + sinh(h0) sinh(h1) */
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if (!arb_is_zero(s0))
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{
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_arb_vec_scalar_mul(t, s, len, c0, prec);
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_arb_vec_scalar_mul(u, c, len, s0, prec);
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_arb_vec_scalar_mul(v, s, len, s0, prec);
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_arb_vec_add(s, t, u, len, prec);
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_arb_vec_scalar_mul(t, c, len, c0, prec);
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_arb_vec_add(c, t, v, len, prec);
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}
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_arb_vec_clear(t, 3 * len);
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arb_clear(s0);
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arb_clear(c0);
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}
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void
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arb_poly_sinh_cosh_series_exponential(arb_poly_t s, arb_poly_t c,
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const arb_poly_t h, slong n, slong prec)
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{
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slong hlen = h->length;
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if (n == 0)
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{
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arb_poly_zero(s);
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arb_poly_zero(c);
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return;
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}
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if (hlen == 0)
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{
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arb_poly_zero(s);
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arb_poly_one(c);
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return;
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}
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arb_poly_fit_length(s, n);
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arb_poly_fit_length(c, n);
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_arb_poly_sinh_cosh_series_exponential(s->coeffs, c->coeffs, h->coeffs, hlen, n, prec);
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_arb_poly_set_length(s, n);
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_arb_poly_normalise(s);
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_arb_poly_set_length(c, n);
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_arb_poly_normalise(c);
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}
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