413 lines
16 KiB
C
413 lines
16 KiB
C
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/*=============================================================================
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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 NMOD_POLY_MATXX_H
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#define NMOD_POLY_MATXX_H
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#include "nmod_poly_mat.h"
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#include "nmod_matxx.h"
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#include "nmod_polyxx.h"
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#include "permxx.h"
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#include "flintxx/matrix.h"
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#include "flintxx/stdmath.h"
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// NOTE: it is *not* valid to use empty nmod_poly_matxx matrices!
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// TODO nullspace member
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namespace flint {
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FLINT_DEFINE_UNOP(sqr_interpolate)
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FLINT_DEFINE_BINOP(mul_interpolate)
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namespace detail {
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template<class Mat>
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struct nmod_poly_matxx_traits : matrices::generic_traits<Mat> { };
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} // detail
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template<class Operation, class Data>
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class nmod_poly_matxx_expression
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: public expression<derived_wrapper<nmod_poly_matxx_expression>, Operation, Data>
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{
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public:
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typedef expression<derived_wrapper< ::flint::nmod_poly_matxx_expression>,
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Operation, Data> base_t;
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typedef detail::nmod_poly_matxx_traits<nmod_poly_matxx_expression> traits_t;
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FLINTXX_DEFINE_BASICS(nmod_poly_matxx_expression)
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FLINTXX_DEFINE_CTORS(nmod_poly_matxx_expression)
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FLINTXX_DEFINE_C_REF(nmod_poly_matxx_expression, nmod_poly_mat_struct, _mat)
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// These only make sense with immediates
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nmodxx_ctx_srcref _ctx() const
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{
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return nmodxx_ctx_srcref::make(nmod_poly_mat_entry(_mat(), 0, 0)->mod);
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}
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// These work on any expression without evaluation
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nmodxx_ctx_srcref estimate_ctx() const
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{
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return tools::find_nmodxx_ctx(*this);
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}
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mp_limb_t modulus() const {return estimate_ctx().n();}
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template<class Expr>
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static evaluated_t create_temporary_rowscols(
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const Expr& e, slong rows, slong cols)
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{
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return evaluated_t(rows, cols, tools::find_nmodxx_ctx(e).n());
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}
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FLINTXX_DEFINE_MATRIX_METHODS(traits_t)
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FLINTXX_DEFINE_FORWARD_STATIC(from_ground)
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static nmod_poly_matxx_expression randtest(slong rows, slong cols,
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mp_limb_t M, frandxx& state, slong len)
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{
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nmod_poly_matxx_expression res(rows, cols, M);
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res.set_randtest(state, len);
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return res;
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}
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static nmod_poly_matxx_expression randtest_sparse(slong rows, slong cols,
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mp_limb_t M, frandxx& state, slong len, float density)
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{
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nmod_poly_matxx_expression res(rows, cols, M);
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res.set_randtest_sparse(state, len, density);
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return res;
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}
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static nmod_poly_matxx_expression zero(slong rows, slong cols, mp_limb_t n)
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{return nmod_poly_matxx_expression(rows, cols, n);}
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static nmod_poly_matxx_expression one(slong rows, slong cols, mp_limb_t n)
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{
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nmod_poly_matxx_expression res(rows, cols, n);
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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 targets
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void set_randtest(frandxx& state, slong len)
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{nmod_poly_mat_randtest(_mat(), state._data(), len);}
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void set_randtest_sparse(frandxx& state, slong len, float density)
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{nmod_poly_mat_randtest_sparse(_mat(), state._data(), len, density);}
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void set_zero() {nmod_poly_mat_zero(_mat());}
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void set_one() {nmod_poly_mat_one(_mat());}
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// these cause evaluation
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bool is_zero() const
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{return nmod_poly_mat_is_zero(this->evaluate()._mat());}
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bool is_one() const
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{return nmod_poly_mat_is_one(this->evaluate()._mat());}
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bool is_square() const
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{return nmod_poly_mat_is_square(this->evaluate()._mat());}
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bool is_empty() const
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{return nmod_poly_mat_is_empty(this->evaluate()._mat());}
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slong max_length() const
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{return nmod_poly_mat_max_length(this->evaluate()._mat());}
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slong rank() const {return nmod_poly_mat_rank(this->evaluate()._mat());}
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slong find_pivot_any(slong start, slong end, slong c) const
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{
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return nmod_poly_mat_find_pivot_any(
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this->evaluate()._mat(), start, end, c);
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}
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slong find_pivot_partial(slong start, slong end, slong c) const
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{
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return nmod_poly_mat_find_pivot_partial(
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this->evaluate()._mat(), start, end, c);
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}
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// lazy members
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(nmod_polyxx, det)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(nmod_polyxx, det_fflu)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(nmod_polyxx, det_interpolate)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(nmod_polyxx, trace)
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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_interpolate)
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FLINTXX_DEFINE_MEMBER_UNOP(sqr_KS)
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FLINTXX_DEFINE_MEMBER_UNOP(transpose)
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//FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(???, nullspace) // TODO
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FLINTXX_DEFINE_MEMBER_BINOP_(operator(), compeval)
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FLINTXX_DEFINE_MEMBER_BINOP(solve)
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FLINTXX_DEFINE_MEMBER_BINOP(solve_fflu)
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FLINTXX_DEFINE_MEMBER_BINOP(mul_classical)
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FLINTXX_DEFINE_MEMBER_BINOP(mul_interpolate)
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FLINTXX_DEFINE_MEMBER_BINOP(mul_KS)
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FLINTXX_DEFINE_MEMBER_BINOP(pow)
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//FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(???, rref) // TODO
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FLINTXX_DEFINE_MEMBER_FFLU
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};
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namespace detail {
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struct nmod_poly_mat_data;
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} // detail
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typedef nmod_poly_matxx_expression<
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operations::immediate, detail::nmod_poly_mat_data> nmod_poly_matxx;
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typedef nmod_poly_matxx_expression<operations::immediate,
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flint_classes::ref_data<
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nmod_poly_matxx, nmod_poly_mat_struct> > nmod_poly_matxx_ref;
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typedef nmod_poly_matxx_expression<operations::immediate,
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flint_classes::srcref_data<
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nmod_poly_matxx, nmod_poly_matxx_ref,
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nmod_poly_mat_struct> > nmod_poly_matxx_srcref;
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template<>
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struct matrix_traits<nmod_poly_matxx>
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{
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template<class M> static slong rows(const M& m)
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{
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return nmod_poly_mat_nrows(m._mat());
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}
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template<class M> static slong cols(const M& m)
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{
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return nmod_poly_mat_ncols(m._mat());
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}
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template<class M> static nmod_polyxx_srcref at(const M& m, slong i, slong j)
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{
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return nmod_polyxx_srcref::make(nmod_poly_mat_entry(m._mat(), i, j));
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}
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template<class M> static nmod_polyxx_ref at(M& m, slong i, slong j)
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{
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return nmod_polyxx_ref::make(nmod_poly_mat_entry(m._mat(), i, j));
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}
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};
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namespace traits {
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template<> struct has_nmodxx_ctx<nmod_poly_matxx> : mp::true_ { };
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template<> struct has_nmodxx_ctx<nmod_poly_matxx_ref> : mp::true_ { };
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template<> struct has_nmodxx_ctx<nmod_poly_matxx_srcref> : mp::true_ { };
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} // traits
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namespace detail {
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template<>
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struct nmod_poly_matxx_traits<nmod_poly_matxx_srcref>
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: matrices::generic_traits_srcref<nmod_polyxx_srcref> { };
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template<>
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struct nmod_poly_matxx_traits<nmod_poly_matxx_ref>
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: matrices::generic_traits_ref<nmod_polyxx_ref> { };
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template<> struct nmod_poly_matxx_traits<nmod_poly_matxx>
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: matrices::generic_traits_nonref<nmod_polyxx_ref, nmod_polyxx_srcref> { };
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struct nmod_poly_mat_data
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{
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typedef nmod_poly_mat_t& data_ref_t;
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typedef const nmod_poly_mat_t& data_srcref_t;
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nmod_poly_mat_t inner;
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nmod_poly_mat_data(slong m, slong n, mp_limb_t modulus)
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{
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nmod_poly_mat_init(inner, m, n, modulus);
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}
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nmod_poly_mat_data(const nmod_poly_mat_data& o)
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{
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nmod_poly_mat_init_set(inner, o.inner);
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}
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nmod_poly_mat_data(nmod_poly_matxx_srcref o)
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{
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nmod_poly_mat_init_set(inner, o._data().inner);
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}
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~nmod_poly_mat_data() {nmod_poly_mat_clear(inner);}
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template<class Nmod_mat>
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static nmod_poly_mat_data _from_ground(const Nmod_mat& m)
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{
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nmod_poly_mat_data res(m.rows(), m.cols(), m.modulus());
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for(slong i = 0;i < m.rows();++i)
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for(slong j = 0;j < m.cols();++j)
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nmod_poly_set_coeff_ui(nmod_poly_mat_entry(res.inner, i, j), 0,
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nmod_mat_entry(m._mat(), i, j));
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return res;
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}
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template<class Nmod_mat>
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static nmod_poly_mat_data from_ground(const Nmod_mat& m,
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typename mp::enable_if<traits::is_nmod_matxx<Nmod_mat> >::type* = 0)
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{
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return _from_ground(m.evaluate());
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}
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};
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} // detail
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// temporary instantiation stuff
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FLINTXX_DEFINE_TEMPORARY_RULES(nmod_poly_matxx)
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#define NMOD_POLY_MATXX_COND_S FLINTXX_COND_S(nmod_poly_matxx)
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#define NMOD_POLY_MATXX_COND_T FLINTXX_COND_T(nmod_poly_matxx)
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namespace rules {
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FLINT_DEFINE_DOIT_COND2(assignment, NMOD_POLY_MATXX_COND_T, NMOD_POLY_MATXX_COND_S,
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nmod_poly_mat_set(to._mat(), from._mat()))
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FLINTXX_DEFINE_SWAP(nmod_poly_matxx, nmod_poly_mat_swap(e1._mat(), e2._mat()))
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FLINTXX_DEFINE_EQUALS(nmod_poly_matxx, nmod_poly_mat_equal(e1._mat(), e2._mat()))
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FLINT_DEFINE_PRINT_PRETTY_COND_2(NMOD_POLY_MATXX_COND_S, const char*,
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(nmod_poly_mat_print(from._mat(), extra), 1))
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FLINT_DEFINE_THREEARY_EXPR_COND3(mat_at_op, nmod_polyxx,
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NMOD_POLY_MATXX_COND_S, traits::fits_into_slong, traits::fits_into_slong,
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nmod_poly_set(to._poly(), nmod_poly_mat_entry(e1._mat(), e2, e3)))
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FLINT_DEFINE_BINARY_EXPR_COND2(times, nmod_poly_matxx,
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NMOD_POLY_MATXX_COND_S, NMOD_POLY_MATXX_COND_S,
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nmod_poly_mat_mul(to._mat(), e1._mat(), e2._mat()))
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FLINT_DEFINE_CBINARY_EXPR_COND2(times, nmod_poly_matxx,
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NMOD_POLY_MATXX_COND_S, NMOD_POLYXX_COND_S,
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nmod_poly_mat_scalar_mul_nmod_poly(to._mat(), e1._mat(), e2._poly()))
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FLINT_DEFINE_CBINARY_EXPR_COND2(times, nmod_poly_matxx,
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NMOD_POLY_MATXX_COND_S, NMODXX_COND_S,
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nmod_poly_mat_scalar_mul_nmod(to._mat(), e1._mat(), e2._limb()))
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FLINT_DEFINE_BINARY_EXPR_COND2(plus, nmod_poly_matxx,
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NMOD_POLY_MATXX_COND_S, NMOD_POLY_MATXX_COND_S,
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nmod_poly_mat_add(to._mat(), e1._mat(), e2._mat()))
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FLINT_DEFINE_BINARY_EXPR_COND2(minus, nmod_poly_matxx,
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NMOD_POLY_MATXX_COND_S, NMOD_POLY_MATXX_COND_S,
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nmod_poly_mat_sub(to._mat(), e1._mat(), e2._mat()))
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FLINT_DEFINE_UNARY_EXPR_COND(negate, nmod_poly_matxx, NMOD_POLY_MATXX_COND_S,
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nmod_poly_mat_neg(to._mat(), from._mat()))
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namespace rdetail {
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inline void nmod_poly_mat_transpose(nmod_poly_mat_t to,
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const nmod_poly_mat_t from)
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{
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if(from == to) // guaranteed to be square
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{
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for(slong i = 0;i < nmod_poly_mat_nrows(to) - 1;++i)
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for(slong j = i + 1;j < nmod_poly_mat_ncols(to);++j)
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nmod_poly_swap(nmod_poly_mat_entry(to, i, j),
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nmod_poly_mat_entry(to, j, i));
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}
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else
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{
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for(slong i = 0;i < nmod_poly_mat_nrows(to);++i)
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for(slong j = 0;j < nmod_poly_mat_ncols(to);++j)
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nmod_poly_set(nmod_poly_mat_entry(to, i, j),
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nmod_poly_mat_entry(from, j, i));
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}
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}
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}
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// TODO update this when nmod_poly_mat has transpose
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FLINT_DEFINE_UNARY_EXPR_COND(transpose_op, nmod_poly_matxx, NMOD_POLY_MATXX_COND_S,
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rdetail::nmod_poly_mat_transpose(to._mat(), from._mat()))
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FLINT_DEFINE_UNARY_EXPR_COND(trace_op, nmod_polyxx, NMOD_POLY_MATXX_COND_S,
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nmod_poly_mat_trace(to._poly(), from._mat()))
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FLINT_DEFINE_BINARY_EXPR_COND2(evaluate_op, nmod_matxx,
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NMOD_POLY_MATXX_COND_S, NMODXX_COND_S,
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nmod_poly_mat_evaluate_nmod(to._mat(), e1._mat(), e2._limb()))
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#define NMOD_POLY_MATXX_DEFINE_MUL(name) \
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FLINT_DEFINE_BINARY_EXPR_COND2(name##_op, nmod_poly_matxx, \
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NMOD_POLY_MATXX_COND_S, NMOD_POLY_MATXX_COND_S, \
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nmod_poly_mat_##name(to._mat(), e1._mat(), e2._mat()))
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NMOD_POLY_MATXX_DEFINE_MUL(mul_classical)
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NMOD_POLY_MATXX_DEFINE_MUL(mul_KS)
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NMOD_POLY_MATXX_DEFINE_MUL(mul_interpolate)
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FLINT_DEFINE_UNARY_EXPR_COND(sqr_op, nmod_poly_matxx, NMOD_POLY_MATXX_COND_S,
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nmod_poly_mat_sqr(to._mat(), from._mat()))
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FLINT_DEFINE_UNARY_EXPR_COND(sqr_KS_op, nmod_poly_matxx, NMOD_POLY_MATXX_COND_S,
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|
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nmod_poly_mat_sqr_KS(to._mat(), from._mat()))
|
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|
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FLINT_DEFINE_UNARY_EXPR_COND(sqr_classical_op, nmod_poly_matxx,
|
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|
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NMOD_POLY_MATXX_COND_S,
|
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|
|
nmod_poly_mat_sqr_classical(to._mat(), from._mat()))
|
||
|
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FLINT_DEFINE_UNARY_EXPR_COND(sqr_interpolate_op, nmod_poly_matxx,
|
||
|
|
NMOD_POLY_MATXX_COND_S,
|
||
|
|
nmod_poly_mat_sqr_interpolate(to._mat(), from._mat()))
|
||
|
|
|
||
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(pow_op, nmod_poly_matxx,
|
||
|
|
NMOD_POLY_MATXX_COND_S, traits::is_unsigned_integer,
|
||
|
|
nmod_poly_mat_pow(to._mat(), e1._mat(), e2))
|
||
|
|
|
||
|
|
FLINT_DEFINE_UNARY_EXPR_COND(det_op, nmod_polyxx, NMOD_POLY_MATXX_COND_S,
|
||
|
|
nmod_poly_mat_det(to._poly(), from._mat()))
|
||
|
|
FLINT_DEFINE_UNARY_EXPR_COND(det_fflu_op, nmod_polyxx, NMOD_POLY_MATXX_COND_S,
|
||
|
|
nmod_poly_mat_det_fflu(to._poly(), from._mat()))
|
||
|
|
FLINT_DEFINE_UNARY_EXPR_COND(det_interpolate_op, nmod_polyxx,
|
||
|
|
NMOD_POLY_MATXX_COND_S,
|
||
|
|
nmod_poly_mat_det_interpolate(to._poly(), from._mat()))
|
||
|
|
|
||
|
|
namespace rdetail {
|
||
|
|
typedef make_ltuple<mp::make_tuple<bool, nmod_poly_matxx, nmod_polyxx>::type >::type
|
||
|
|
nmod_poly_mat_inv_rt;
|
||
|
|
} // rdetail
|
||
|
|
|
||
|
|
FLINT_DEFINE_UNARY_EXPR_COND(inv_op, rdetail::nmod_poly_mat_inv_rt,
|
||
|
|
NMOD_POLY_MATXX_COND_S,
|
||
|
|
to.template get<0>() = nmod_poly_mat_inv(to.template get<1>()._mat(),
|
||
|
|
to.template get<2>()._poly(), from._mat()))
|
||
|
|
|
||
|
|
namespace rdetail {
|
||
|
|
typedef make_ltuple<mp::make_tuple<slong, nmod_poly_matxx>::type >::type
|
||
|
|
nmod_poly_mat_nullspace_rt;
|
||
|
|
} // rdetail
|
||
|
|
FLINT_DEFINE_UNARY_EXPR_COND(nullspace_op, rdetail::nmod_poly_mat_nullspace_rt,
|
||
|
|
NMOD_POLY_MATXX_COND_S, to.template get<0>() = nmod_poly_mat_nullspace(
|
||
|
|
to.template get<1>()._mat(), from._mat()))
|
||
|
|
|
||
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(solve_op, rdetail::nmod_poly_mat_inv_rt,
|
||
|
|
NMOD_POLY_MATXX_COND_S, NMOD_POLY_MATXX_COND_S,
|
||
|
|
to.template get<0>() = nmod_poly_mat_solve(to.template get<1>()._mat(),
|
||
|
|
to.template get<2>()._poly(), e1._mat(), e2._mat()))
|
||
|
|
FLINT_DEFINE_BINARY_EXPR_COND2(solve_fflu_op, rdetail::nmod_poly_mat_inv_rt,
|
||
|
|
NMOD_POLY_MATXX_COND_S, NMOD_POLY_MATXX_COND_S,
|
||
|
|
to.template get<0>() = nmod_poly_mat_solve_fflu(
|
||
|
|
to.template get<1>()._mat(),
|
||
|
|
to.template get<2>()._poly(), e1._mat(), e2._mat()))
|
||
|
|
|
||
|
|
namespace rdetail {
|
||
|
|
typedef make_ltuple<mp::make_tuple<slong, nmod_poly_matxx, nmod_polyxx>::type>::type
|
||
|
|
nmod_poly_matxx_fflu_rt;
|
||
|
|
} // rdetail
|
||
|
|
|
||
|
|
FLINT_DEFINE_THREEARY_EXPR_COND3(fflu_op, rdetail::nmod_poly_matxx_fflu_rt,
|
||
|
|
NMOD_POLY_MATXX_COND_S, traits::is_maybe_perm, tools::is_bool,
|
||
|
|
to.template get<0>() = nmod_poly_mat_fflu(to.template get<1>()._mat(),
|
||
|
|
to.template get<2>()._poly(), maybe_perm_data(e2), e1._mat(), e3))
|
||
|
|
|
||
|
|
FLINT_DEFINE_UNARY_EXPR_COND(rref_op, rdetail::nmod_poly_matxx_fflu_rt,
|
||
|
|
NMOD_POLY_MATXX_COND_S,
|
||
|
|
to.template get<0>() = nmod_poly_mat_rref(to.template get<1>()._mat(),
|
||
|
|
to.template get<2>()._poly(), from._mat()))
|
||
|
|
|
||
|
|
FLINT_DEFINE_THREEARY_EXPR_COND3(solve_fflu_precomp_op, nmod_poly_matxx,
|
||
|
|
traits::is_permxx, NMOD_POLY_MATXX_COND_S, NMOD_POLY_MATXX_COND_S,
|
||
|
|
nmod_poly_mat_solve_fflu_precomp(to._mat(), e1._data(),
|
||
|
|
e2._mat(), e3._mat()))
|
||
|
|
} // rules
|
||
|
|
} // flint
|
||
|
|
|
||
|
|
#endif
|