91 lines
2.4 KiB
C
91 lines
2.4 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) 2012 Sebastian Pancratz
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******************************************************************************/
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#include "qadic.h"
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void _qadic_trace(fmpz_t rop, const fmpz *op, slong len,
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const fmpz *a, const slong *j, slong lena, const fmpz_t pN)
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{
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const slong d = j[lena - 1];
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slong i, l;
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fmpz *t;
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t = _fmpz_vec_init(d);
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fmpz_set_ui(t + 0, d);
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for (i = 1; i < d; i++)
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{
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for (l = lena - 2; l >= 0 && j[l] >= d - (i - 1); l--)
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{
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fmpz_addmul(t + i, t + (j[l] + i - d), a + l);
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}
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if (l >= 0 && j[l] == d - i)
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{
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fmpz_addmul_ui(t + i, a + l, i);
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}
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fmpz_neg(t + i, t + i);
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fmpz_mod(t + i, t + i, pN);
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}
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fmpz_zero(rop);
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for (i = 0; i < d; i++)
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{
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fmpz_addmul(rop, op + i, t + i);
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}
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fmpz_mod(rop, rop, pN);
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_fmpz_vec_clear(t, d);
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}
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void qadic_trace(padic_t rop, const qadic_t op, const qadic_ctx_t ctx)
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{
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const slong N = padic_prec(rop);
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if (qadic_is_zero(op) || op->val >= N)
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{
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padic_zero(rop);
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}
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else
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{
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fmpz_t pN;
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int alloc;
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alloc = _padic_ctx_pow_ui(pN, N - op->val, &ctx->pctx);
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_qadic_trace(padic_unit(rop), op->coeffs, op->length,
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ctx->a, ctx->j, ctx->len, pN);
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padic_val(rop) = op->val;
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_padic_canonicalise(rop, &ctx->pctx);
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if (alloc)
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fmpz_clear(pN);
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}
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}
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