963 lines
36 KiB
C++
963 lines
36 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) 2013 Tom Bachmann
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******************************************************************************/
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#ifndef FMPZ_POLYXX_H
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#define FMPZ_POLYXX_H
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#include <cstdlib>
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#include <string>
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#include "flint.h"
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#include "fmpz_poly.h"
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#include "fmpzxx.h"
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#include "fmpz_vecxx.h"
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#include "flintxx/expression.h"
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#include "flintxx/flint_classes.h"
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#include "flintxx/flint_exception.h"
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#include "flintxx/frandxx.h"
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#include "flintxx/ltuple.h"
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#include "flintxx/traits.h"
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#include "flintxx/traits_fwd.h"
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// TODO exhibit this as a specialisation of a generic poly<fmpzxx>
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// TODO newton basis?
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// TODO power series class?
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// TODO input
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// TODO addmul
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// TODO more hensel lifting?
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namespace flint {
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// function "declarations"
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FLINT_DEFINE_UNOP(sqr_karatsuba)
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FLINT_DEFINE_UNOP(sqrt_classical)
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FLINT_DEFINE_BINOP(evaluate_divconquer)
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FLINT_DEFINE_BINOP(evaluate_horner)
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FLINT_DEFINE_BINOP(gcd_heuristic)
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FLINT_DEFINE_BINOP(gcd_modular)
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FLINT_DEFINE_BINOP(gcd_subresultant)
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FLINT_DEFINE_BINOP(mul_karatsuba)
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FLINT_DEFINE_BINOP(mulmid_classical)
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FLINT_DEFINE_BINOP(mul_SS)
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FLINT_DEFINE_BINOP(divides)
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FLINT_DEFINE_BINOP(pow_addchains)
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FLINT_DEFINE_BINOP(pow_binomial)
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FLINT_DEFINE_BINOP(pow_multinomial)
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FLINT_DEFINE_BINOP(pseudo_div)
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FLINT_DEFINE_BINOP(pseudo_divrem)
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FLINT_DEFINE_BINOP(pseudo_divrem_basecase)
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FLINT_DEFINE_BINOP(pseudo_divrem_cohen)
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FLINT_DEFINE_BINOP(pseudo_divrem_divconquer)
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FLINT_DEFINE_BINOP(pseudo_rem)
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FLINT_DEFINE_BINOP(pseudo_rem_cohen)
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FLINT_DEFINE_BINOP(sqrlow)
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FLINT_DEFINE_BINOP(sqrlow_classical)
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FLINT_DEFINE_BINOP(sqrlow_karatsuba_n)
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FLINT_DEFINE_BINOP(sqrlow_KS)
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FLINT_DEFINE_BINOP(taylor_shift_divconquer)
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FLINT_DEFINE_BINOP(xgcd_modular)
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FLINT_DEFINE_THREEARY(mulhigh_karatsuba_n)
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FLINT_DEFINE_THREEARY(mulhigh_n)
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FLINT_DEFINE_THREEARY(mullow_karatsuba_n)
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FLINT_DEFINE_THREEARY(mullow_SS)
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FLINT_DEFINE_BINOP(fmpz_polyxx_interpolate)
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FLINT_DEFINE_UNOP(fmpz_polyxx_product_roots)
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FLINT_DEFINE_UNOP(fmpz_polyxx_lead)
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FLINT_DEFINE_BINOP(fmpz_polyxx_get_coeff)
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FLINT_DEFINE_BINOP(fmpz_polyxx_bit_unpack)
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FLINT_DEFINE_BINOP(fmpz_polyxx_bit_unpack_unsigned)
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FLINT_DEFINE_SEVENARY(hensel_lift)
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FLINT_DEFINE_SEVENARY(hensel_lift_without_inverse)
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FLINT_DEFINE_SIXARY(hensel_lift_only_inverse)
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namespace detail {
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template<class Poly>
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struct fmpz_poly_traits
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{
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typedef FLINT_UNOP_BUILD_RETTYPE(
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fmpz_polyxx_lead, fmpzxx, Poly) lead_ref_t;
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typedef lead_ref_t lead_srcref_t;
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static lead_ref_t lead(const Poly& p) {return fmpz_polyxx_lead(p);}
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template<class T>
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struct coeff
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{
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typedef FLINT_BINOP_ENABLE_RETTYPE(fmpz_polyxx_get_coeff, Poly, T) ref_t;
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typedef ref_t srcref_t;
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static ref_t get(const Poly& p, const T& t)
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{return fmpz_polyxx_get_coeff(p, t);}
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};
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};
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}
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template<class Operation, class Data>
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class fmpz_polyxx_expression
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: public expression<derived_wrapper<fmpz_polyxx_expression>,
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Operation, Data>
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{
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public:
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typedef expression<derived_wrapper< ::flint::fmpz_polyxx_expression>,
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Operation, Data> base_t;
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typedef detail::fmpz_poly_traits<fmpz_polyxx_expression> poly_traits_t;
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FLINTXX_DEFINE_BASICS(fmpz_polyxx_expression)
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FLINTXX_DEFINE_CTORS(fmpz_polyxx_expression)
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FLINTXX_DEFINE_C_REF(fmpz_polyxx_expression, fmpz_poly_struct, _poly)
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// static methods which only make sense with fmpz_polyxx
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static fmpz_polyxx_expression randtest(frandxx& state, slong len,
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mp_bitcnt_t bits)
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{
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fmpz_polyxx_expression res;
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fmpz_poly_randtest(res._poly(), state._data(), len, bits);
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return res;
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}
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static fmpz_polyxx_expression randtest_unsigned(frandxx& state, slong len,
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mp_bitcnt_t bits)
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{
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fmpz_polyxx_expression res;
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fmpz_poly_randtest_unsigned(res._poly(), state._data(), len, bits);
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return res;
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}
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static fmpz_polyxx_expression randtest_not_zero(frandxx& state, slong len,
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mp_bitcnt_t bits)
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{
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fmpz_polyxx_expression res;
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fmpz_poly_randtest_not_zero(res._poly(), state._data(), len, bits);
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return res;
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}
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template<class Fmpz_vec1, class Fmpz_vec2>
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static FLINT_BINOP_ENABLE_RETTYPE(fmpz_polyxx_interpolate,
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Fmpz_vec1, Fmpz_vec2)
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interpolate(const Fmpz_vec1& xs, const Fmpz_vec2& ys)
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{
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return fmpz_polyxx_interpolate(xs, ys);
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}
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template<class Fmpz_vec>
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static FLINT_UNOP_ENABLE_RETTYPE(fmpz_polyxx_product_roots, Fmpz_vec)
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product_roots(const Fmpz_vec& xs)
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{
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return fmpz_polyxx_product_roots(xs);
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}
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template<class Arg1, class Arg2>
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static FLINT_BINOP_ENABLE_RETTYPE(fmpz_polyxx_bit_unpack,
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Arg1, Arg2)
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bit_unpack(const Arg1& a1, const Arg2& a2)
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{
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return fmpz_polyxx_bit_unpack(a1, a2);
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}
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template<class Arg1, class Arg2>
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static FLINT_BINOP_ENABLE_RETTYPE(fmpz_polyxx_bit_unpack_unsigned,
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Arg1, Arg2)
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bit_unpack_unsigned(const Arg1& a1, const Arg2& a2)
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{
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return fmpz_polyxx_bit_unpack_unsigned(a1, a2);
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}
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template<class T>
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static fmpz_polyxx_expression from_ground(const T& t)
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{
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fmpz_polyxx_expression res;
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fmpzxx u; u = t;
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res.set_coeff(0, u);
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return res;
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}
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template<class Nmod_poly>
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static fmpz_polyxx_expression _lift(const Nmod_poly& poly)
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{
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fmpz_polyxx_expression res(poly.length());
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fmpz_poly_set_nmod_poly(res._poly(), poly._poly());
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return res;
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}
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template<class Nmod_poly>
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static fmpz_polyxx_expression lift(const Nmod_poly& poly,
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typename mp::enable_if<traits::is_nmod_polyxx<Nmod_poly> >::type* = 0)
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{
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return _lift(poly.evaluate());
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}
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template<class Nmod_poly>
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static fmpz_polyxx_expression _lift_unsigned(const Nmod_poly& poly)
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{
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fmpz_polyxx_expression res(poly.length());
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fmpz_poly_set_nmod_poly_unsigned(res._poly(), poly.evaluate()._poly());
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return res;
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}
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template<class Nmod_poly>
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static fmpz_polyxx_expression lift_unsigned(const Nmod_poly& poly,
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typename mp::enable_if<traits::is_nmod_polyxx<Nmod_poly> >::type* = 0)
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{
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return _lift_unsigned(poly.evaluate());
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}
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static fmpz_polyxx_expression zero() {return fmpz_polyxx_expression();}
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static fmpz_polyxx_expression one()
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{
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fmpz_polyxx_expression res;
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res.set_one();
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return res;
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}
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// These only make sense with immediates
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void realloc(slong alloc) {fmpz_poly_realloc(_poly(), alloc);}
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void fit_length(slong len) {fmpz_poly_fit_length(_poly(), len);}
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void _normalise() {_fmpz_poly_normalise(_poly());}
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void _set_length(slong len) {_fmpz_poly_set_length(_poly(), len);}
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void zero_coeffs(slong i, slong j) {fmpz_poly_zero_coeffs(_poly(), i, j);}
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void set_zero() {fmpz_poly_zero(_poly());}
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void set_one() {fmpz_poly_one(_poly());}
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// The result of these are undefined if n is >= length
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// You also may have to call _normalise().
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template<class T>
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typename poly_traits_t::template coeff<T>::ref_t coeff(const T& n)
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{
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return poly_traits_t::template coeff<T>::get(*this, n);
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}
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template<class T>
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typename poly_traits_t::template coeff<T>::srcref_t
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coeff(const T& n) const
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{
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return poly_traits_t::template coeff<T>::get(*this, n);
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}
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typename poly_traits_t::lead_ref_t lead()
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{
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return poly_traits_t::lead(*this);
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}
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typename poly_traits_t::lead_srcref_t lead() const
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{
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return poly_traits_t::lead(*this);
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}
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// These only make sense with target immediates
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template<class Fmpz>
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typename mp::enable_if<traits::is_fmpzxx<Fmpz> >::type
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set_coeff(slong n, const Fmpz& x)
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{
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fmpz_poly_set_coeff_fmpz(_poly(), n, x.evaluate()._fmpz());
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}
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template<class T>
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typename mp::enable_if<traits::is_signed_integer<T> >::type
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set_coeff(slong n, T x)
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{
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fmpz_poly_set_coeff_si(_poly(), n, x);
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}
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template<class T>
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typename mp::enable_if<traits::is_unsigned_integer<T> >::type
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set_coeff(slong n, T x)
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{
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fmpz_poly_set_coeff_ui(_poly(), n, x);
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}
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void truncate(slong n) {fmpz_poly_truncate(_poly(), n);}
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// These cause evaluation
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slong length() const {return fmpz_poly_length(this->evaluate()._poly());}
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slong degree() const {return fmpz_poly_degree(this->evaluate()._poly());}
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bool is_one() const {return fmpz_poly_is_one(this->evaluate()._poly());}
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bool is_zero() const {return fmpz_poly_is_zero(this->evaluate()._poly());}
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bool is_unit() const {return fmpz_poly_is_unit(this->evaluate()._poly());}
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ulong max_limbs() const {return fmpz_poly_max_limbs(this->evaluate()._poly());}
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slong max_bits() const {return fmpz_poly_max_bits(this->evaluate()._poly());}
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std::string pretty(const char* x) const
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{
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char* str = fmpz_poly_get_str_pretty(this->evaluate()._poly(), x);
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std::string res(str);
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flint_free(str);
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return res;
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}
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void signature(slong& r1, slong& r2) const
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{
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fmpz_poly_signature(&r1, &r2, this->evaluate()._poly());
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}
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int read_pretty(char** x, FILE* f = stdin)
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{
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return fmpz_poly_fread_pretty(f, _poly(), x);
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}
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// lazy member forwarding
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FLINTXX_DEFINE_MEMBER_BINOP_(operator(), compeval)
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FLINTXX_DEFINE_MEMBER_BINOP_(get_coeff, fmpz_polyxx_get_coeff)
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FLINTXX_DEFINE_MEMBER_BINOP(bit_pack)
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FLINTXX_DEFINE_MEMBER_BINOP(compose_divconquer)
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FLINTXX_DEFINE_MEMBER_BINOP(compose_horner)
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FLINTXX_DEFINE_MEMBER_BINOP(div_basecase)
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FLINTXX_DEFINE_MEMBER_BINOP(div_divconquer)
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FLINTXX_DEFINE_MEMBER_BINOP(divexact)
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FLINTXX_DEFINE_MEMBER_BINOP(divides)
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FLINTXX_DEFINE_MEMBER_BINOP(divrem)
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FLINTXX_DEFINE_MEMBER_BINOP(divrem_basecase)
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FLINTXX_DEFINE_MEMBER_BINOP(divrem_divconquer)
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FLINTXX_DEFINE_MEMBER_BINOP(div_root)
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FLINTXX_DEFINE_MEMBER_BINOP(evaluate_divconquer)
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FLINTXX_DEFINE_MEMBER_BINOP(evaluate_horner)
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FLINTXX_DEFINE_MEMBER_BINOP(fdiv_2exp)
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FLINTXX_DEFINE_MEMBER_BINOP(gcd)
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FLINTXX_DEFINE_MEMBER_BINOP(gcd_heuristic)
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FLINTXX_DEFINE_MEMBER_BINOP(gcd_modular)
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FLINTXX_DEFINE_MEMBER_BINOP(gcd_subresultant)
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FLINTXX_DEFINE_MEMBER_BINOP(inv_series)
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FLINTXX_DEFINE_MEMBER_BINOP(inv_series_newton)
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FLINTXX_DEFINE_MEMBER_BINOP(lcm)
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FLINTXX_DEFINE_MEMBER_BINOP(mul_2exp)
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FLINTXX_DEFINE_MEMBER_BINOP(mul_classical)
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FLINTXX_DEFINE_MEMBER_BINOP(mul_karatsuba)
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FLINTXX_DEFINE_MEMBER_BINOP(mul_KS)
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FLINTXX_DEFINE_MEMBER_BINOP(mulmid_classical)
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FLINTXX_DEFINE_MEMBER_BINOP(mul_SS)
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FLINTXX_DEFINE_MEMBER_BINOP(shift_left)
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FLINTXX_DEFINE_MEMBER_BINOP(shift_right)
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FLINTXX_DEFINE_MEMBER_BINOP(pow)
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FLINTXX_DEFINE_MEMBER_BINOP(pow_addchains)
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FLINTXX_DEFINE_MEMBER_BINOP(pow_binexp)
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FLINTXX_DEFINE_MEMBER_BINOP(pow_binomial)
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FLINTXX_DEFINE_MEMBER_BINOP(pow_multinomial)
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FLINTXX_DEFINE_MEMBER_BINOP(pseudo_div)
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FLINTXX_DEFINE_MEMBER_BINOP(pseudo_divrem)
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FLINTXX_DEFINE_MEMBER_BINOP(pseudo_divrem_basecase)
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FLINTXX_DEFINE_MEMBER_BINOP(pseudo_divrem_cohen)
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FLINTXX_DEFINE_MEMBER_BINOP(pseudo_divrem_divconquer)
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FLINTXX_DEFINE_MEMBER_BINOP(pseudo_rem)
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FLINTXX_DEFINE_MEMBER_BINOP(pseudo_rem_cohen)
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FLINTXX_DEFINE_MEMBER_BINOP(resultant)
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FLINTXX_DEFINE_MEMBER_BINOP(reverse)
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FLINTXX_DEFINE_MEMBER_BINOP(revert_series)
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FLINTXX_DEFINE_MEMBER_BINOP(revert_series_lagrange)
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FLINTXX_DEFINE_MEMBER_BINOP(revert_series_lagrange_fast)
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FLINTXX_DEFINE_MEMBER_BINOP(revert_series_newton)
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FLINTXX_DEFINE_MEMBER_BINOP(smod)
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FLINTXX_DEFINE_MEMBER_BINOP(sqrlow)
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FLINTXX_DEFINE_MEMBER_BINOP(sqrlow_classical)
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FLINTXX_DEFINE_MEMBER_BINOP(sqrlow_karatsuba_n)
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FLINTXX_DEFINE_MEMBER_BINOP(sqrlow_KS)
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FLINTXX_DEFINE_MEMBER_BINOP(taylor_shift)
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FLINTXX_DEFINE_MEMBER_BINOP(taylor_shift_divconquer)
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FLINTXX_DEFINE_MEMBER_BINOP(taylor_shift_horner)
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FLINTXX_DEFINE_MEMBER_BINOP(tdiv)
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FLINTXX_DEFINE_MEMBER_BINOP(tdiv_2exp)
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FLINTXX_DEFINE_MEMBER_BINOP(xgcd)
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FLINTXX_DEFINE_MEMBER_BINOP(xgcd_modular)
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FLINTXX_DEFINE_MEMBER_UNOP(derivative)
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FLINTXX_DEFINE_MEMBER_UNOP(primitive_part)
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FLINTXX_DEFINE_MEMBER_UNOP(sqr)
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FLINTXX_DEFINE_MEMBER_UNOP(sqr_classical)
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FLINTXX_DEFINE_MEMBER_UNOP(sqr_karatsuba)
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FLINTXX_DEFINE_MEMBER_UNOP(sqr_KS)
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FLINTXX_DEFINE_MEMBER_UNOP(sqrt)
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FLINTXX_DEFINE_MEMBER_UNOP(sqrt_classical)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpzxx, bound_roots)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpzxx, twonorm)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpzxx, content)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpzxx, height)
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FLINTXX_DEFINE_MEMBER_3OP(compose_series)
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FLINTXX_DEFINE_MEMBER_3OP(compose_series_brent_kung)
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FLINTXX_DEFINE_MEMBER_3OP(compose_series_horner)
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FLINTXX_DEFINE_MEMBER_3OP(div_series)
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FLINTXX_DEFINE_MEMBER_3OP(mulhigh_classical)
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FLINTXX_DEFINE_MEMBER_3OP(mulhigh_karatsuba_n)
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FLINTXX_DEFINE_MEMBER_3OP(mulhigh_n)
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FLINTXX_DEFINE_MEMBER_3OP(mullow)
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FLINTXX_DEFINE_MEMBER_3OP(mullow_classical)
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FLINTXX_DEFINE_MEMBER_3OP(mullow_karatsuba_n)
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FLINTXX_DEFINE_MEMBER_3OP(mullow_KS)
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FLINTXX_DEFINE_MEMBER_3OP(mullow_SS)
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FLINTXX_DEFINE_MEMBER_3OP(pow_trunc)
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FLINTXX_DEFINE_MEMBER_4OP(CRT)
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};
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namespace detail {
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struct fmpz_poly_data;
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}
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typedef fmpz_polyxx_expression<operations::immediate, detail::fmpz_poly_data>
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fmpz_polyxx;
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typedef fmpz_polyxx_expression<operations::immediate,
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flint_classes::ref_data<fmpz_polyxx, fmpz_poly_struct> >
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fmpz_polyxx_ref;
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typedef fmpz_polyxx_expression<operations::immediate,
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flint_classes::srcref_data<
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fmpz_polyxx, fmpz_polyxx_ref, fmpz_poly_struct> >
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fmpz_polyxx_srcref;
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namespace detail {
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template<>
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struct fmpz_poly_traits<fmpz_polyxx_srcref>
|
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{
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typedef fmpzxx_srcref lead_srcref_t;
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typedef fmpzxx_srcref lead_ref_t;
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|
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template<class P>
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static lead_srcref_t lead(const P& p)
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{return lead_srcref_t::make(fmpz_poly_lead(p._poly()));}
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template<class T>
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struct coeff
|
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{
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typedef typename mp::enable_if<
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traits::is_integer<T>, fmpzxx_srcref>::type ref_t;
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typedef ref_t srcref_t;
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|
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template<class P>
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static srcref_t get(const P& p, const T& n)
|
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{return srcref_t::make(fmpz_poly_coeff_ptr(p._poly(), n));}
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};
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};
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template<>
|
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struct fmpz_poly_traits<fmpz_polyxx_ref>
|
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{
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typedef fmpzxx_ref lead_ref_t;
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typedef fmpzxx_ref lead_srcref_t;
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|
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template<class P>
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static lead_ref_t lead(P p)
|
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{return lead_ref_t::make(fmpz_poly_lead(p._poly()));}
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|
|
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template<class T>
|
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struct coeff
|
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{
|
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typedef fmpzxx_ref ref_t;
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typedef fmpzxx_ref srcref_t;
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|
|
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template<class P>
|
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static ref_t get(P p, const T& n)
|
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{return ref_t::make(fmpz_poly_get_coeff_ptr(p._poly(), n));}
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};
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};
|
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template<>
|
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struct fmpz_poly_traits<fmpz_polyxx>
|
|
{
|
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typedef fmpzxx_ref lead_ref_t;
|
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typedef fmpzxx_srcref lead_srcref_t;
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|
|
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template<class P>
|
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static lead_ref_t lead(P& p)
|
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{return lead_ref_t::make(fmpz_poly_lead(p._poly()));}
|
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template<class P>
|
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static lead_srcref_t lead(const P& p)
|
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{return lead_srcref_t::make(fmpz_poly_lead(p._poly()));}
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|
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template<class T>
|
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struct coeff
|
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{
|
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typedef fmpzxx_ref ref_t;
|
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typedef fmpzxx_srcref srcref_t;
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|
|
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template<class P>
|
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static ref_t get(P& p, const T& n)
|
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{return ref_t::make(fmpz_poly_get_coeff_ptr(p._poly(), n));}
|
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template<class P>
|
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static srcref_t get(const P& p, const T& n)
|
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{return srcref_t::make(fmpz_poly_get_coeff_ptr(p._poly(), n));}
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};
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};
|
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|
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struct fmpz_poly_data
|
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{
|
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fmpz_poly_t inner;
|
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typedef fmpz_poly_t& data_ref_t;
|
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typedef const fmpz_poly_t& data_srcref_t;
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|
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fmpz_poly_data() {fmpz_poly_init(inner);}
|
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~fmpz_poly_data() {fmpz_poly_clear(inner);}
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|
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fmpz_poly_data(const fmpz_poly_data& o)
|
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{
|
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fmpz_poly_init(inner);
|
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fmpz_poly_set(inner, o.inner);
|
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}
|
|
|
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fmpz_poly_data(fmpz_polyxx_srcref r)
|
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{
|
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fmpz_poly_init(inner);
|
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fmpz_poly_set(inner, r._poly());
|
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}
|
|
|
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fmpz_poly_data(slong alloc)
|
|
{
|
|
fmpz_poly_init2(inner, alloc);
|
|
}
|
|
|
|
fmpz_poly_data(const char* str)
|
|
{
|
|
fmpz_poly_init(inner);
|
|
execution_check(!fmpz_poly_set_str(inner, str),
|
|
"construct from string", "fmpz_polyxx");
|
|
}
|
|
};
|
|
} // detail
|
|
|
|
namespace traits {
|
|
template<class T> struct is_fmpz_polyxx : mp::or_<
|
|
traits::is_T_expr<T, fmpz_polyxx>,
|
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flint_classes::is_source<fmpz_polyxx, T> > { };
|
|
} // traits
|
|
namespace mp {
|
|
template<class T1, class T2 = void, class T3 = void, class T4 = void>
|
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struct all_fmpz_polyxx : mp::and_<all_fmpz_polyxx<T1>, all_fmpz_polyxx<T2, T3, T4> > { };
|
|
template<class T>
|
|
struct all_fmpz_polyxx<T, void, void, void> : traits::is_fmpz_polyxx<T> { };
|
|
|
|
template<class Out, class T1, class T2 = void, class T3 = void, class T4 = void>
|
|
struct enable_all_fmpz_polyxx
|
|
: mp::enable_if<all_fmpz_polyxx<T1, T2, T3, T4>, Out> { };
|
|
} // mp
|
|
|
|
namespace rules {
|
|
#define FMPZ_POLYXX_COND_S FLINTXX_COND_S(fmpz_polyxx)
|
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#define FMPZ_POLYXX_COND_T FLINTXX_COND_T(fmpz_polyxx)
|
|
|
|
FLINTXX_DEFINE_EQUALS(fmpz_polyxx, fmpz_poly_equal(e1._poly(), e2._poly()))
|
|
|
|
FLINT_DEFINE_DOIT_COND2(assignment, FMPZ_POLYXX_COND_T, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_set(to._poly(), from._poly()))
|
|
FLINT_DEFINE_DOIT_COND2(assignment, FMPZ_POLYXX_COND_T,
|
|
traits::is_signed_integer,
|
|
fmpz_poly_set_si(to._poly(), from))
|
|
FLINT_DEFINE_DOIT_COND2(assignment, FMPZ_POLYXX_COND_T,
|
|
traits::is_unsigned_integer,
|
|
fmpz_poly_set_ui(to._poly(), from))
|
|
FLINT_DEFINE_DOIT_COND2(assignment, FMPZ_POLYXX_COND_T, FMPZXX_COND_S,
|
|
fmpz_poly_set_fmpz(to._poly(), from._fmpz()))
|
|
FLINTXX_DEFINE_ASSIGN_STR(fmpz_polyxx, execution_check(
|
|
!fmpz_poly_set_str(to._poly(), from), "assign string", "fmpz_polyxx"))
|
|
|
|
FLINT_DEFINE_PRINT_COND(FMPZ_POLYXX_COND_S, fmpz_poly_fprint(to, from._poly()))
|
|
FLINT_DEFINE_PRINT_PRETTY_COND_2(FMPZ_POLYXX_COND_S, const char*,
|
|
fmpz_poly_fprint_pretty(to, from._poly(), extra))
|
|
FLINT_DEFINE_READ_COND(FMPZ_POLYXX_COND_T, fmpz_poly_fread(from, to._poly()))
|
|
|
|
FLINTXX_DEFINE_TO_STR(fmpz_polyxx, fmpz_poly_get_str(from._poly()))
|
|
FLINTXX_DEFINE_SWAP(fmpz_polyxx, fmpz_poly_swap(e1._poly(), e2._poly()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(reverse_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::fits_into_slong,
|
|
fmpz_poly_reverse(to._poly(), e1._poly(), e2))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(plus, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_add(to._poly(), e1._poly(), e2._poly()))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(minus, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_sub(to._poly(), e1._poly(), e2._poly()))
|
|
|
|
FLINT_DEFINE_UNARY_EXPR_COND(negate, fmpz_polyxx, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_neg(to._poly(), from._poly()))
|
|
|
|
FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_scalar_mul_fmpz(to._poly(), e1._poly(), e2._fmpz()))
|
|
FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::is_signed_integer,
|
|
fmpz_poly_scalar_mul_si(to._poly(), e1._poly(), e2))
|
|
FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::is_unsigned_integer,
|
|
fmpz_poly_scalar_mul_ui(to._poly(), e1._poly(), e2))
|
|
|
|
FLINT_DEFINE_CBINARY_EXPR_COND2(mul_2exp_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::is_unsigned_integer,
|
|
fmpz_poly_scalar_mul_2exp(to._poly(), e1._poly(), e2))
|
|
|
|
FLINT_DEFINE_CBINARY_EXPR_COND2(divided_by, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_scalar_fdiv_fmpz(to._poly(), e1._poly(), e2._fmpz()))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(divided_by, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::is_unsigned_integer,
|
|
fmpz_poly_scalar_fdiv_ui(to._poly(), e1._poly(), e2))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(divided_by, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::is_signed_integer,
|
|
fmpz_poly_scalar_fdiv_si(to._poly(), e1._poly(), e2))
|
|
|
|
FLINT_DEFINE_CBINARY_EXPR_COND2(fdiv_2exp_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::is_unsigned_integer,
|
|
fmpz_poly_scalar_fdiv_2exp(to._poly(), e1._poly(), e2))
|
|
|
|
#define FMPZ_POLYXX_DEFINE_SCALAR_DIVFUNCS(name) \
|
|
FLINT_DEFINE_CBINARY_EXPR_COND2(name##_op, fmpz_polyxx, \
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S, \
|
|
fmpz_poly_scalar_##name##_fmpz(to._poly(), e1._poly(), e2._fmpz())) \
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(name##_op, fmpz_polyxx, \
|
|
FMPZ_POLYXX_COND_S, traits::is_unsigned_integer, \
|
|
fmpz_poly_scalar_##name##_ui(to._poly(), e1._poly(), e2)) \
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(name##_op, fmpz_polyxx, \
|
|
FMPZ_POLYXX_COND_S, traits::is_signed_integer, \
|
|
fmpz_poly_scalar_##name##_si(to._poly(), e1._poly(), e2))
|
|
FMPZ_POLYXX_DEFINE_SCALAR_DIVFUNCS(tdiv)
|
|
FMPZ_POLYXX_DEFINE_SCALAR_DIVFUNCS(divexact)
|
|
|
|
FLINT_DEFINE_CBINARY_EXPR_COND2(tdiv_2exp_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::is_unsigned_integer,
|
|
fmpz_poly_scalar_tdiv_2exp(to._poly(), e1._poly(), e2))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(modulo, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_scalar_mod_fmpz(to._poly(), e1._poly(), e2._fmpz()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(smod_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_scalar_smod_fmpz(to._poly(), e1._poly(), e2._fmpz()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(bit_pack_op, fmpzxx,
|
|
FMPZ_POLYXX_COND_S, traits::fits_into_mp_bitcnt_t,
|
|
fmpz_poly_bit_pack(to._fmpz(), e1._poly(), e2))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(fmpz_polyxx_bit_unpack_op, fmpz_polyxx,
|
|
FMPZXX_COND_S, traits::fits_into_mp_bitcnt_t,
|
|
fmpz_poly_bit_unpack(to._poly(), e1._fmpz(), e2))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(fmpz_polyxx_bit_unpack_unsigned_op, fmpz_polyxx,
|
|
FMPZXX_COND_S, traits::fits_into_mp_bitcnt_t,
|
|
fmpz_poly_bit_unpack_unsigned(to._poly(), e1._fmpz(), e2))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(times, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_mul(to._poly(), e1._poly(), e2._poly()))
|
|
|
|
#define FMPZ_POLYXX_DEFINE_MUL(name) \
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(name##_op, fmpz_polyxx, \
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S, \
|
|
fmpz_poly_##name(to._poly(), e1._poly(), e2._poly()))
|
|
FMPZ_POLYXX_DEFINE_MUL(mul_classical)
|
|
FMPZ_POLYXX_DEFINE_MUL(mulmid_classical)
|
|
FMPZ_POLYXX_DEFINE_MUL(mul_karatsuba)
|
|
FMPZ_POLYXX_DEFINE_MUL(mul_SS)
|
|
FMPZ_POLYXX_DEFINE_MUL(mul_KS)
|
|
|
|
FLINT_DEFINE_UNARY_EXPR_COND(sqr_KS_op, fmpz_polyxx, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_sqr_KS(to._poly(), from._poly()))
|
|
FLINT_DEFINE_UNARY_EXPR_COND(sqr_karatsuba_op, fmpz_polyxx, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_sqr_karatsuba(to._poly(), from._poly()))
|
|
FLINT_DEFINE_UNARY_EXPR_COND(sqr_classical_op, fmpz_polyxx, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_sqr_classical(to._poly(), from._poly()))
|
|
FLINT_DEFINE_UNARY_EXPR_COND(sqr_op, fmpz_polyxx, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_sqr(to._poly(), from._poly()))
|
|
|
|
#define FMPZ_POLYXX_DEFINE_SQRLOW(name) \
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(name##_op, fmpz_polyxx, \
|
|
FMPZ_POLYXX_COND_S, traits::fits_into_slong, \
|
|
fmpz_poly_##name(to._poly(), e1._poly(), e2))
|
|
FMPZ_POLYXX_DEFINE_SQRLOW(sqrlow_KS)
|
|
FMPZ_POLYXX_DEFINE_SQRLOW(sqrlow_karatsuba_n)
|
|
FMPZ_POLYXX_DEFINE_SQRLOW(sqrlow_classical)
|
|
FMPZ_POLYXX_DEFINE_SQRLOW(sqrlow)
|
|
|
|
#define FMPZ_POLYXX_DEFINE_POW(name) \
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(name##_op, fmpz_polyxx, \
|
|
FMPZ_POLYXX_COND_S, traits::is_unsigned_integer, \
|
|
fmpz_poly_##name(to._poly(), e1._poly(), e2))
|
|
FMPZ_POLYXX_DEFINE_POW(pow_multinomial)
|
|
FMPZ_POLYXX_DEFINE_POW(pow_binomial)
|
|
FMPZ_POLYXX_DEFINE_POW(pow_addchains)
|
|
FMPZ_POLYXX_DEFINE_POW(pow_binexp)
|
|
FMPZ_POLYXX_DEFINE_POW(pow)
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(shift_left_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::fits_into_slong,
|
|
fmpz_poly_shift_left(to._poly(), e1._poly(), e2))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(shift_right_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::fits_into_slong,
|
|
fmpz_poly_shift_right(to._poly(), e1._poly(), e2))
|
|
|
|
FLINT_DEFINE_UNARY_EXPR_COND(height_op, fmpzxx, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_height(to._fmpz(), from._poly()))
|
|
FLINT_DEFINE_UNARY_EXPR_COND(twonorm_op, fmpzxx, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_2norm(to._fmpz(), from._poly()))
|
|
|
|
FMPZ_POLYXX_DEFINE_MUL(gcd)
|
|
FMPZ_POLYXX_DEFINE_MUL(gcd_subresultant)
|
|
FMPZ_POLYXX_DEFINE_MUL(gcd_heuristic)
|
|
FMPZ_POLYXX_DEFINE_MUL(gcd_modular)
|
|
FMPZ_POLYXX_DEFINE_MUL(lcm)
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(resultant_op, fmpzxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_resultant(to._fmpz(), e1._poly(), e2._poly()))
|
|
|
|
FLINT_DEFINE_UNARY_EXPR_COND(content_op, fmpzxx, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_content(to._fmpz(), from._poly()))
|
|
FLINT_DEFINE_UNARY_EXPR_COND(primitive_part_op, fmpz_polyxx, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_primitive_part(to._poly(), from._poly()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(div_basecase_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_div_basecase(to._poly(), e1._poly(), e2._poly()))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(div_divconquer_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_div_divconquer(to._poly(), e1._poly(), e2._poly()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(divided_by, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_div(to._poly(), e1._poly(), e2._poly()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(rem_basecase_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_rem_basecase(to._poly(), e1._poly(), e2._poly()))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(modulo, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_rem(to._poly(), e1._poly(), e2._poly()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(div_root_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_div_root(to._poly(), e1._poly(), e2._fmpz()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(inv_series_newton_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::fits_into_slong,
|
|
fmpz_poly_inv_series_newton(to._poly(), e1._poly(), e2))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(inv_series_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::fits_into_slong,
|
|
fmpz_poly_inv_series(to._poly(), e1._poly(), e2))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(pseudo_rem_cohen_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_pseudo_rem_cohen(to._poly(), e1._poly(), e2._poly()))
|
|
|
|
FLINT_DEFINE_UNARY_EXPR_COND(derivative_op, fmpz_polyxx, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_derivative(to._poly(), from._poly()))
|
|
|
|
FMPZ_POLYXX_DEFINE_MUL(compose)
|
|
FMPZ_POLYXX_DEFINE_MUL(compose_horner)
|
|
FMPZ_POLYXX_DEFINE_MUL(compose_divconquer)
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(evaluate_op, fmpzxx,
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_evaluate_fmpz(to._fmpz(), e1._poly(), e2._fmpz()))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(evaluate_divconquer_op, fmpzxx,
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_evaluate_divconquer_fmpz(to._fmpz(), e1._poly(), e2._fmpz()))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(evaluate_horner_op, fmpzxx,
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_evaluate_horner_fmpz(to._fmpz(), e1._poly(), e2._fmpz()))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(evaluate_op, fmpz_vecxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_VECXX_COND_S,
|
|
fmpz_poly_evaluate_fmpz_vec(to._data().array, e1._poly(),
|
|
e2._data().array, e2.size()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(fmpz_polyxx_interpolate_op, fmpz_polyxx,
|
|
FMPZ_VECXX_COND_S, FMPZ_VECXX_COND_S,
|
|
fmpz_poly_interpolate_fmpz_vec(to._poly(), e1._data().array,
|
|
e2._data().array, e2.size()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(taylor_shift_horner_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_taylor_shift_horner(to._poly(), e1._poly(), e2._fmpz()))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(taylor_shift_divconquer_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_taylor_shift_divconquer(to._poly(), e1._poly(), e2._fmpz()))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(taylor_shift_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_taylor_shift(to._poly(), e1._poly(), e2._fmpz()))
|
|
|
|
FMPZ_POLYXX_DEFINE_SQRLOW(revert_series)
|
|
FMPZ_POLYXX_DEFINE_SQRLOW(revert_series_newton)
|
|
FMPZ_POLYXX_DEFINE_SQRLOW(revert_series_lagrange_fast)
|
|
FMPZ_POLYXX_DEFINE_SQRLOW(revert_series_lagrange)
|
|
|
|
FLINT_DEFINE_UNARY_EXPR_COND(sqrt_op, fmpz_polyxx, FMPZ_POLYXX_COND_S,
|
|
execution_check(fmpz_poly_sqrt(to._poly(), from._poly()),
|
|
"sqrt", "fmpz_polyxx"))
|
|
FLINT_DEFINE_UNARY_EXPR_COND(sqrt_classical_op, fmpz_polyxx, FMPZ_POLYXX_COND_S,
|
|
execution_check(fmpz_poly_sqrt_classical(to._poly(), from._poly()),
|
|
"sqrt_classical", "fmpz_polyxx"))
|
|
|
|
FLINT_DEFINE_UNARY_EXPR_COND(fmpz_polyxx_product_roots_op, fmpz_polyxx,
|
|
FMPZ_VECXX_COND_S,
|
|
fmpz_poly_product_roots_fmpz_vec(to._poly(),
|
|
from._data().array, from.size()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(fmpz_polyxx_get_coeff_op, fmpzxx,
|
|
FMPZ_POLYXX_COND_S, traits::is_integer,
|
|
fmpz_poly_get_coeff_fmpz(to._fmpz(), e1._poly(), e2))
|
|
FLINT_DEFINE_UNARY_EXPR_COND(fmpz_polyxx_lead_op, fmpzxx,
|
|
FMPZ_POLYXX_COND_S,
|
|
fmpz_set(to._fmpz(), fmpz_poly_lead(from._poly())))
|
|
|
|
FLINT_DEFINE_UNARY_EXPR_COND(bound_roots_op, fmpzxx, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_bound_roots(to._fmpz(), from._poly()))
|
|
|
|
namespace rdetail {
|
|
typedef make_ltuple<mp::make_tuple<fmpz_polyxx, fmpz_polyxx>::type>::type
|
|
fmpz_polyxx_pair;
|
|
typedef make_ltuple<mp::make_tuple<fmpzxx, fmpz_polyxx, fmpz_polyxx>::type>::type
|
|
fmpzxx_fmpz_polyxx_pair;
|
|
} // rdetail
|
|
#define FMPZ_POLYXX_DEFINE_DIVREM(name) \
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(name##_op, rdetail::fmpz_polyxx_pair, \
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S, \
|
|
fmpz_poly_##name(to.template get<0>()._poly(), to.template get<1>()._poly(), \
|
|
e1._poly(), e2._poly()))
|
|
FMPZ_POLYXX_DEFINE_DIVREM(divrem_basecase)
|
|
FMPZ_POLYXX_DEFINE_DIVREM(divrem_divconquer)
|
|
FMPZ_POLYXX_DEFINE_DIVREM(divrem)
|
|
FMPZ_POLYXX_DEFINE_DIVREM(pseudo_divrem_cohen)
|
|
|
|
#define FMPZ_POLYXX_DEFINE_MULFUNC(name) \
|
|
FLINT_DEFINE_THREEARY_EXPR_COND3(name##_op, fmpz_polyxx, \
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S, traits::fits_into_slong, \
|
|
fmpz_poly_##name(to._poly(), e1._poly(), e2._poly(), e3))
|
|
|
|
FMPZ_POLYXX_DEFINE_MULFUNC(mullow_classical)
|
|
FMPZ_POLYXX_DEFINE_MULFUNC(mulhigh_classical)
|
|
FMPZ_POLYXX_DEFINE_MULFUNC(mullow_karatsuba_n)
|
|
FMPZ_POLYXX_DEFINE_MULFUNC(mulhigh_karatsuba_n)
|
|
FMPZ_POLYXX_DEFINE_MULFUNC(mullow_KS)
|
|
FMPZ_POLYXX_DEFINE_MULFUNC(mullow_SS)
|
|
FMPZ_POLYXX_DEFINE_MULFUNC(mullow)
|
|
FMPZ_POLYXX_DEFINE_MULFUNC(mulhigh_n)
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(xgcd_op, rdetail::fmpzxx_fmpz_polyxx_pair,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_xgcd(to.template get<0>()._fmpz(), to.template get<1>()._poly(),
|
|
to.template get<2>()._poly(), e1._poly(), e2._poly()))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(xgcd_modular_op, rdetail::fmpzxx_fmpz_polyxx_pair,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_xgcd_modular(to.template get<0>()._fmpz(),
|
|
to.template get<1>()._poly(),
|
|
to.template get<2>()._poly(), e1._poly(), e2._poly()))
|
|
|
|
FLINT_DEFINE_THREEARY_EXPR_COND3(pow_trunc_op, fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, traits::is_unsigned_integer, traits::fits_into_slong,
|
|
fmpz_poly_pow_trunc(to._poly(), e1._poly(), e2, e3))
|
|
|
|
#define FMPZ_POLYXX_DEFINE_SERIES(name) \
|
|
FLINT_DEFINE_THREEARY_EXPR_COND3(name##_op, fmpz_polyxx, \
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S, traits::fits_into_slong, \
|
|
fmpz_poly_##name(to._poly(), e1._poly(), e2._poly(), e3))
|
|
FMPZ_POLYXX_DEFINE_SERIES(div_series)
|
|
FMPZ_POLYXX_DEFINE_SERIES(compose_series_brent_kung)
|
|
FMPZ_POLYXX_DEFINE_SERIES(compose_series_horner)
|
|
FMPZ_POLYXX_DEFINE_SERIES(compose_series)
|
|
|
|
namespace rdetail {
|
|
typedef make_ltuple<mp::make_tuple<fmpz_polyxx, fmpz_polyxx, ulong>::type>::type
|
|
fmpz_polyxx_pair_ulong;
|
|
typedef make_ltuple<mp::make_tuple<fmpz_polyxx, ulong>::type>::type
|
|
fmpz_polyxx_ulong;
|
|
typedef make_ltuple<mp::make_tuple<bool, fmpz_polyxx>::type>::type
|
|
bool_fmpz_polyxx;
|
|
}
|
|
#define FMPZ_POLYXX_DEFINE_PSEUDO_DIVREM(name) \
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(name##_op, rdetail::fmpz_polyxx_pair_ulong, \
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S, \
|
|
fmpz_poly_##name(to.template get<0>()._poly(), to.template get<1>()._poly(), \
|
|
&to.template get<2>(), e1._poly(), e2._poly()))
|
|
FMPZ_POLYXX_DEFINE_PSEUDO_DIVREM(pseudo_divrem_basecase)
|
|
FMPZ_POLYXX_DEFINE_PSEUDO_DIVREM(pseudo_divrem_divconquer)
|
|
FMPZ_POLYXX_DEFINE_PSEUDO_DIVREM(pseudo_divrem)
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(pseudo_div_op, rdetail::fmpz_polyxx_ulong,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_pseudo_div(to.template get<0>()._poly(), &to.template get<1>(),
|
|
e1._poly(), e2._poly()))
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(pseudo_rem_op, rdetail::fmpz_polyxx_ulong,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
fmpz_poly_pseudo_rem(to.template get<0>()._poly(), &to.template get<1>(),
|
|
e1._poly(), e2._poly()))
|
|
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(divides_op, rdetail::bool_fmpz_polyxx,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
to.template get<0> () =
|
|
fmpz_poly_divides(to.template get<1>()._poly(), e1._poly(), e2._poly()))
|
|
|
|
namespace rdetail {
|
|
typedef make_ltuple<mp::make_tuple<
|
|
fmpz_polyxx, fmpz_polyxx, fmpz_polyxx, fmpz_polyxx>::type>::type
|
|
fmpz_polyxx_quadruple;
|
|
}
|
|
FLINT_DEFINE_SEVENARY_EXPR_COND7(hensel_lift_op, rdetail::fmpz_polyxx_quadruple,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
FMPZXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_hensel_lift(to.template get<0>()._poly(),
|
|
to.template get<1>()._poly(), to.template get<2>()._poly(),
|
|
to.template get<3>()._poly(),
|
|
e1._poly(), e2._poly(), e3._poly(), e4._poly(), e5._poly(),
|
|
e6._fmpz(), e7._fmpz()))
|
|
FLINT_DEFINE_SEVENARY_EXPR_COND7(hensel_lift_without_inverse_op,
|
|
rdetail::fmpz_polyxx_pair,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
FMPZXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_hensel_lift_without_inverse(to.template get<0>()._poly(),
|
|
to.template get<1>()._poly(),
|
|
e1._poly(), e2._poly(), e3._poly(), e4._poly(), e5._poly(),
|
|
e6._fmpz(), e7._fmpz()))
|
|
FLINT_DEFINE_SIXARY_EXPR_COND6(hensel_lift_only_inverse_op,
|
|
rdetail::fmpz_polyxx_pair,
|
|
FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S, FMPZ_POLYXX_COND_S,
|
|
FMPZ_POLYXX_COND_S,
|
|
FMPZXX_COND_S, FMPZXX_COND_S,
|
|
fmpz_poly_hensel_lift_only_inverse(to.template get<0>()._poly(),
|
|
to.template get<1>()._poly(),
|
|
e1._poly(), e2._poly(), e3._poly(), e4._poly(),
|
|
e5._fmpz(), e6._fmpz()))
|
|
} // rules
|
|
|
|
// immediate functions
|
|
// TODO make lazy when we have nmod class
|
|
template<class Poly>
|
|
inline typename mp::enable_all_fmpz_polyxx<mp_limb_t, Poly>::type
|
|
evaluate_mod(const Poly& p, mp_limb_t x, mp_limb_t n)
|
|
{
|
|
return fmpz_poly_evaluate_mod(p.evaluate()._poly(), x, n);
|
|
}
|
|
|
|
template<class Fmpz_poly>
|
|
int read_pretty(Fmpz_poly& f, char** x,
|
|
typename mp::enable_if<FMPZ_POLYXX_COND_T<Fmpz_poly> >::type* = 0)
|
|
{
|
|
return f.read_pretty(x);
|
|
}
|
|
template<class Fmpz_poly>
|
|
int read_pretty(FILE* fi, Fmpz_poly& f, char** x,
|
|
typename mp::enable_if<FMPZ_POLYXX_COND_T<Fmpz_poly> >::type* = 0)
|
|
{
|
|
return f.read_pretty(x, fi);
|
|
}
|
|
} // flint
|
|
|
|
#include "nmod_polyxx.h" // modular reconstruction code
|
|
|
|
#include "fmpz_poly_factorxx.h"
|
|
|
|
#endif
|