156 lines
4.3 KiB
C
156 lines
4.3 KiB
C
/*=============================================================================
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This file is part of FLINT.
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FLINT 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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FLINT 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 FLINT; 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) 2011 Fredrik Johansson
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Copyright (C) 2012 Lina Kulakova
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Copyright (C) 2013 Mike Hansen
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******************************************************************************/
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#ifdef T
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#include "templates.h"
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#include <gmp.h>
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#include "flint.h"
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#include "ulong_extras.h"
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void
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_TEMPLATE(T, poly_compose_mod_horner) (
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TEMPLATE(T, struct) * res,
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const TEMPLATE(T, struct) * f, slong lenf,
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const TEMPLATE(T, struct) * g,
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const TEMPLATE(T, struct) * h, slong lenh,
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const TEMPLATE(T, ctx_t) ctx)
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{
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slong i, len;
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TEMPLATE(T, struct) * t;
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if (lenh == 1)
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return;
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if (lenf == 1)
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{
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TEMPLATE(T, set) (res, f, ctx);
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return;
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}
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if (lenh == 2)
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{
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_TEMPLATE(T, TEMPLATE(poly_evaluate, T)) (res, f, lenf, g, ctx);
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return;
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}
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len = lenh - 1;
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i = lenf - 1;
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t = _TEMPLATE(T, vec_init) (2 * lenh - 3, ctx);
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_TEMPLATE(T, TEMPLATE(poly_scalar_mul, T)) (res, g, len, f + i, ctx);
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i--;
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if (i >= 0)
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{
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TEMPLATE(T, add) (res, res, f + i, ctx);
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}
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while (i > 0)
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{
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i--;
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_TEMPLATE(T, poly_mulmod) (t, res, len, g, len, h, lenh, ctx);
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_TEMPLATE(T, poly_add) (res, t, len, f + i, 1, ctx);
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}
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_TEMPLATE(T, vec_clear) (t, 2 * lenh - 3, ctx);
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}
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void
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TEMPLATE(T, poly_compose_mod_horner) (TEMPLATE(T, poly_t) res,
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const TEMPLATE(T, poly_t) poly1,
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const TEMPLATE(T, poly_t) poly2,
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const TEMPLATE(T, poly_t) poly3,
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const TEMPLATE(T, ctx_t) ctx)
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{
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TEMPLATE(T, t) inv3;
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slong len1 = poly1->length;
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slong len2 = poly2->length;
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slong len3 = poly3->length;
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slong len = len3 - 1;
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slong vec_len = FLINT_MAX(len3 - 1, len2);
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TEMPLATE(T, struct) * ptr2;
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if (len3 == 0)
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{
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TEMPLATE_PRINTF
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("Exception: division by zero in %s_poly_compose_mod_horner\n", T);
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abort();
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}
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if (len1 == 0 || len3 == 1)
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{
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TEMPLATE(T, poly_zero) (res, ctx);
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return;
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}
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if (len1 == 1)
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{
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TEMPLATE(T, poly_set) (res, poly1, ctx);
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return;
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}
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if (res == poly3 || res == poly1)
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{
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TEMPLATE(T, poly_t) tmp;
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TEMPLATE(T, poly_init) (tmp, ctx);
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TEMPLATE(T, poly_compose_mod_horner) (tmp, poly1, poly2, poly3, ctx);
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TEMPLATE(T, poly_swap) (tmp, res, ctx);
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TEMPLATE(T, poly_clear) (tmp, ctx);
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return;
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}
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ptr2 = _TEMPLATE(T, vec_init) (vec_len, ctx);
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if (len2 <= len3 - 1)
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{
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_TEMPLATE(T, vec_set) (ptr2, poly2->coeffs, len2, ctx);
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_TEMPLATE(T, vec_zero) (ptr2 + len2, vec_len - len2, ctx);
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}
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else
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{
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TEMPLATE(T, init) (inv3, ctx);
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TEMPLATE(T, inv) (inv3, poly3->coeffs + len, ctx);
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_TEMPLATE(T, poly_rem) (ptr2, poly2->coeffs, len2,
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poly3->coeffs, len3, inv3, ctx);
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TEMPLATE(T, clear) (inv3, ctx);
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}
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TEMPLATE(T, poly_fit_length) (res, len, ctx);
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_TEMPLATE(T, poly_compose_mod_horner) (res->coeffs,
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poly1->coeffs, len1,
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ptr2, poly3->coeffs, len3, ctx);
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_TEMPLATE(T, poly_set_length) (res, len, ctx);
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_TEMPLATE(T, poly_normalise) (res, ctx);
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_TEMPLATE(T, vec_clear) (ptr2, vec_len, ctx);
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}
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#endif
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