244 lines
6.3 KiB
C
244 lines
6.3 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) 2012 Sebastian Pancratz
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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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/*
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Include routines for vectors over \code{fmpz_poly_struct},
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for use in the classical multiplication routine in the
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$X$-direction.
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*/
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static fmpz_poly_struct *
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__vec_init(slong len)
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{
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slong i;
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fmpz_poly_struct *v;
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v = flint_malloc(len * sizeof(fmpz_poly_struct));
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for (i = 0; i < len; i++)
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fmpz_poly_init(v + i);
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return v;
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}
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static fmpz_poly_struct *
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__vec_init2(slong len, slong n)
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{
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slong i;
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fmpz_poly_struct *v;
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v = flint_malloc(len * sizeof(fmpz_poly_struct));
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for (i = 0; i < len; i++)
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fmpz_poly_init2(v + i, n);
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return v;
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}
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static void
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__vec_clear(fmpz_poly_struct * v, slong len)
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{
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slong i;
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for (i = 0; i < len; i++)
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fmpz_poly_clear(v + i);
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flint_free(v);
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}
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static void
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__scalar_addmul(fmpz_poly_struct * rop,
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const fmpz_poly_struct * op, slong len, const fmpz_poly_t x)
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{
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slong i;
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if (fmpz_poly_is_zero(x))
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{
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return;
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}
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else if (fmpz_poly_is_one(x))
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{
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for (i = 0; i < len; i++)
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fmpz_poly_add(rop + i, rop + i, op + i);
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}
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else
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{
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fmpz_poly_t t;
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fmpz_poly_init(t);
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for (i = 0; i < len; i++)
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{
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fmpz_poly_mul(t, op + i, x);
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fmpz_poly_add(rop + i, rop + i, t);
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}
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fmpz_poly_clear(t);
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}
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}
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static void
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__scalar_mul(fmpz_poly_struct * rop,
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const fmpz_poly_struct * op, slong len, const fmpz_poly_t x)
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{
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slong i;
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if (fmpz_poly_is_zero(x))
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{
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for (i = 0; i < len; i++)
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fmpz_poly_zero(rop + i);
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}
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else if (fmpz_poly_is_one(x))
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{
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for (i = 0; i < len; i++)
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fmpz_poly_set(rop + i, op + i);
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}
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else
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{
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for (i = 0; i < len; i++)
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fmpz_poly_mul(rop + i, op + i, x);
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}
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}
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static void
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__mul(fmpz_poly_struct * rop,
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fmpz_poly_struct * op1, slong len1, fmpz_poly_struct * op2, slong len2)
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{
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if (len1 == 1 && len2 == 1)
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{
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fmpz_poly_mul(rop, op1, op2);
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}
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else
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{
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slong i;
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__scalar_mul(rop, op1, len1, op2);
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__scalar_mul(rop + len1, op2 + 1, len2 - 1, op1 + len1 - 1);
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for (i = 0; i < len1 - 1; i++)
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__scalar_addmul(rop + i + 1, op2 + 1, len2 - 1, op1 + i);
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}
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}
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void
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_TEMPLATE(T, poly_mul_reorder) (TEMPLATE(T, struct) * rop,
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const TEMPLATE(T, struct) * op1, slong len1,
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const TEMPLATE(T, struct) * op2, slong len2,
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const TEMPLATE(T, ctx_t) ctx)
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{
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const slong d = TEMPLATE(T, ctx_degree) (ctx);
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fmpz_poly_struct *f, *g, *h;
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slong i, j, k, len;
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f = __vec_init(2 * d - 1);
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g = __vec_init2(d, len1);
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h = __vec_init2(d, len2);
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/* Convert (op1, len1) to (g, d) */
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for (i = 0; i < len1; i++)
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for (j = 0; j < fmpz_poly_length(op1 + i); j++)
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fmpz_set((g + j)->coeffs + i, (op1 + i)->coeffs + j);
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/* Convert (op2, len2) to (h, d) */
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for (i = 0; i < len2; i++)
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for (j = 0; j < fmpz_poly_length(op2 + i); j++)
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fmpz_set((h + j)->coeffs + i, (op2 + i)->coeffs + j);
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for (j = 0; j < d; j++)
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{
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_fmpz_poly_set_length(g + j, len1);
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_fmpz_poly_set_length(h + j, len2);
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_fmpz_poly_normalise(g + j);
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_fmpz_poly_normalise(h + j);
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}
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__mul(f, g, d, h, d);
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/* Normalise (f, len) */
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len = 2 * d - 1;
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while ((len) && fmpz_poly_is_zero(f + (len - 1)))
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len--;
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/* Reduce (f, j) using polynomial operations */
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if (len > d)
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{
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for (i = len - 1; i >= d; i--)
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{
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for (k = ctx->len - 2; k >= 0; k--)
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{
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fmpz_poly_scalar_submul_fmpz(f + ctx->j[k] + i - d, f + i,
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ctx->a + k);
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}
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fmpz_poly_zero(f + i);
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}
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}
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for (j = 0; j < FLINT_MIN(d, len); j++)
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fmpz_poly_scalar_mod_fmpz(f + j, f + j, TEMPLATE(T, ctx_prime) (ctx));
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/* Convert (f, d) to (rop, len1 + len2 - 1) */
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for (i = 0; i < len1 + len2 - 1; i++)
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{
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fmpz_poly_fit_length(rop + i, d);
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_fmpz_vec_zero((rop + i)->coeffs, d);
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}
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for (j = 0; j < d; j++)
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for (i = 0; i < fmpz_poly_length(f + j); i++)
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fmpz_set((rop + i)->coeffs + j, (f + j)->coeffs + i);
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for (i = 0; i < len1 + len2 - 1; i++)
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{
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_fmpz_poly_set_length(rop + i, d);
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_fmpz_poly_normalise(rop + i);
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}
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__vec_clear(f, 2 * d - 1);
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__vec_clear(g, d);
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__vec_clear(h, d);
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}
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void
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TEMPLATE(T, poly_mul_reorder) (TEMPLATE(T, poly_t) rop,
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const TEMPLATE(T, poly_t) op1,
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const TEMPLATE(T, poly_t) op2,
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const TEMPLATE(T, ctx_t) ctx)
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{
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const slong len = op1->length + op2->length - 1;
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if (op1->length == 0 || op2->length == 0)
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{
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TEMPLATE(T, poly_zero) (rop, ctx);
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}
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else
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{
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TEMPLATE(T, poly_fit_length) (rop, len, ctx);
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_TEMPLATE(T, poly_mul_reorder) (rop->coeffs, op1->coeffs, op1->length,
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op2->coeffs, op2->length, ctx);
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_TEMPLATE(T, poly_set_length) (rop, len, ctx);
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}
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}
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#endif
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