491 lines
18 KiB
C++
491 lines
18 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_POLY_MATXX_H
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#define FMPZ_POLY_MATXX_H FMPZ_POLY_MATXX_H
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#include "fmpz_poly_mat.h"
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#include "fmpz_matxx.h"
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#include "fmpz_polyxx.h"
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#include "permxx.h"
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#include "flintxx/matrix.h"
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namespace flint {
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FLINT_DEFINE_UNOP(prod)
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namespace detail {
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template<class Mat>
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struct fmpz_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 fmpz_poly_matxx_expression
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: public expression<derived_wrapper<fmpz_poly_matxx_expression>, Operation, Data>
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{
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public:
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typedef expression<derived_wrapper< ::flint::fmpz_poly_matxx_expression>,
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Operation, Data> base_t;
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typedef detail::fmpz_poly_matxx_traits<fmpz_poly_matxx_expression> traits_t;
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FLINTXX_DEFINE_BASICS(fmpz_poly_matxx_expression)
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FLINTXX_DEFINE_CTORS(fmpz_poly_matxx_expression)
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FLINTXX_DEFINE_C_REF(fmpz_poly_matxx_expression, fmpz_poly_mat_struct, _mat)
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template<class Expr>
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static evaluated_t create_temporary_rowscols(
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const Expr&, slong rows, slong cols)
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{
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return evaluated_t(rows, cols);
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}
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FLINTXX_DEFINE_MATRIX_METHODS(traits_t)
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// static functions for fmpz_poly_matxx
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template<class Fmpz_matxx>
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static fmpz_poly_matxx_expression from_ground(const Fmpz_matxx& f)
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{
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return _from_ground(f.evaluate());
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}
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template<class Fmpz_matxx>
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static fmpz_poly_matxx_expression _from_ground(const Fmpz_matxx& f)
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{
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fmpz_poly_matxx_expression res(f.rows(), f.cols());
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for(slong i = 0;i < f.rows();++i)
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for(slong j = 0;j < f.rows();++j)
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res.at(i, j).set_coeff(0, f.at(i, j));
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return res;
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}
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static fmpz_poly_matxx_expression randtest(slong rows, slong cols,
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frandxx& state, slong len, mp_bitcnt_t bits)
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{
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fmpz_poly_matxx_expression res(rows, cols);
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res.set_randtest(state, len, bits);
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return res;
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}
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static fmpz_poly_matxx_expression randtest_unsigned(slong rows, slong cols,
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frandxx& state, slong len, mp_bitcnt_t bits)
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{
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fmpz_poly_matxx_expression res(rows, cols);
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res.set_randtest_unsigned(state, len, bits);
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return res;
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}
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static fmpz_poly_matxx_expression randtest_sparse(slong rows, slong cols,
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frandxx& state, slong len, mp_bitcnt_t bits, float density)
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{
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fmpz_poly_matxx_expression res(rows, cols);
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res.set_randtest_sparse(state, len, bits, density);
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return res;
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}
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static fmpz_poly_matxx_expression zero(slong rows, slong cols)
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{return fmpz_poly_matxx_expression(rows, cols);}
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static fmpz_poly_matxx_expression one(slong rows, slong cols)
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{
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fmpz_poly_matxx_expression res(rows, cols);
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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, mp_bitcnt_t bits)
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{fmpz_poly_mat_randtest(_mat(), state._data(), len, bits);}
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void set_randtest_unsigned(frandxx& state, slong len, mp_bitcnt_t bits)
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{fmpz_poly_mat_randtest_unsigned(_mat(), state._data(), len, bits);}
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void set_randtest_sparse(frandxx& state, slong len, mp_bitcnt_t bits,
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float density)
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{fmpz_poly_mat_randtest_sparse(_mat(), state._data(), len, bits, density);}
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void truncate(slong len) {fmpz_poly_mat_truncate(_mat(), len);}
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void set_zero()
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{fmpz_poly_mat_zero(_mat());}
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void set_one()
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{fmpz_poly_mat_one(_mat());}
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// these cause evaluation
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slong rank() const {return fmpz_poly_mat_rank(this->evaluate()._mat());}
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bool is_zero() const
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{return fmpz_poly_mat_is_zero(this->evaluate()._mat());}
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bool is_one() const
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{return fmpz_poly_mat_is_one(this->evaluate()._mat());}
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bool is_empty() const
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{return fmpz_poly_mat_is_empty(this->evaluate()._mat());}
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bool is_square() const
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{return fmpz_poly_mat_is_square(this->evaluate()._mat());}
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slong max_length() const
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{return fmpz_poly_mat_max_length(this->evaluate()._mat());}
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slong max_bits() const
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{return fmpz_poly_mat_max_bits(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 fmpz_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 fmpz_poly_mat_find_pivot_partial(
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this->evaluate()._mat(), start, end, c);
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}
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// forwarded lazy ops
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FLINTXX_DEFINE_MEMBER_BINOP_(operator(), compeval)
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FLINTXX_DEFINE_MEMBER_3OP(mullow)
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FLINTXX_DEFINE_MEMBER_3OP(pow_trunc)
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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_KS)
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FLINTXX_DEFINE_MEMBER_BINOP(mul_classical)
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FLINTXX_DEFINE_MEMBER_BINOP(pow)
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FLINTXX_DEFINE_MEMBER_BINOP(sqrlow)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpz_polyxx, det)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpz_polyxx, det_fflu)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpz_polyxx, det_interpolate)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpz_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_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_UNOP_RTYPE(???, inv) // TODO
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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 fmpz_poly_mat_data;
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} // detail
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typedef fmpz_poly_matxx_expression<operations::immediate,
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detail::fmpz_poly_mat_data> fmpz_poly_matxx;
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typedef fmpz_poly_matxx_expression<operations::immediate,
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flint_classes::ref_data<fmpz_poly_matxx,
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fmpz_poly_mat_struct> > fmpz_poly_matxx_ref;
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typedef fmpz_poly_matxx_expression<operations::immediate,
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flint_classes::srcref_data<
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fmpz_poly_matxx, fmpz_poly_matxx_ref,
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fmpz_poly_mat_struct> > fmpz_poly_matxx_srcref;
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template<>
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struct matrix_traits<fmpz_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 fmpz_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 fmpz_poly_mat_ncols(m._mat());
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}
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template<class M> static fmpz_polyxx_srcref at(const M& m, slong i, slong j)
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{
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return fmpz_polyxx_srcref::make(fmpz_poly_mat_entry(m._mat(), i, j));
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}
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template<class M> static fmpz_polyxx_ref at(M& m, slong i, slong j)
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{
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return fmpz_polyxx_ref::make(fmpz_poly_mat_entry(m._mat(), i, j));
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}
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};
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namespace detail {
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template<>
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struct fmpz_poly_matxx_traits<fmpz_poly_matxx_srcref>
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: matrices::generic_traits_srcref<fmpz_polyxx_srcref> { };
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template<>
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struct fmpz_poly_matxx_traits<fmpz_poly_matxx_ref>
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: matrices::generic_traits_ref<fmpz_polyxx_ref> { };
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template<> struct fmpz_poly_matxx_traits<fmpz_poly_matxx>
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: matrices::generic_traits_nonref<fmpz_polyxx_ref, fmpz_polyxx_srcref> { };
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struct fmpz_poly_mat_data
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{
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typedef fmpz_poly_mat_t& data_ref_t;
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typedef const fmpz_poly_mat_t& data_srcref_t;
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fmpz_poly_mat_t inner;
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fmpz_poly_mat_data(slong m, slong n)
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{
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fmpz_poly_mat_init(inner, m, n);
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}
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fmpz_poly_mat_data(const fmpz_poly_mat_data& o)
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{
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fmpz_poly_mat_init_set(inner, o.inner);
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}
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fmpz_poly_mat_data(fmpz_poly_matxx_srcref o)
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{
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fmpz_poly_mat_init_set(inner, o._data().inner);
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}
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~fmpz_poly_mat_data() {fmpz_poly_mat_clear(inner);}
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};
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} // detail
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#define FMPZ_POLY_MATXX_COND_S FLINTXX_COND_S(fmpz_poly_matxx)
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#define FMPZ_POLY_MATXX_COND_T FLINTXX_COND_T(fmpz_poly_matxx)
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namespace matrices {
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template<>
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struct outsize<operations::mul_KS_op>
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: outsize<operations::times> { };
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template<>
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struct outsize<operations::mullow_op>
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: outsize<operations::times> { };
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} // matrices
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FLINTXX_DEFINE_TEMPORARY_RULES(fmpz_poly_matxx)
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namespace rules {
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FLINT_DEFINE_DOIT_COND2(assignment, FMPZ_POLY_MATXX_COND_T, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_set(to._mat(), from._mat()))
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FLINTXX_DEFINE_SWAP(fmpz_poly_matxx, fmpz_poly_mat_swap(e1._mat(), e2._mat()))
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FLINTXX_DEFINE_EQUALS(fmpz_poly_matxx, fmpz_poly_mat_equal(e1._mat(), e2._mat()))
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FLINT_DEFINE_PRINT_PRETTY_COND_2(FMPZ_POLY_MATXX_COND_S, const char*,
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(fmpz_poly_mat_print(from._mat(), extra), 1))
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FLINT_DEFINE_BINARY_EXPR_COND2(times, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_mul(to._mat(), e1._mat(), e2._mat()))
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FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S, FMPZXX_COND_S,
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fmpz_poly_mat_scalar_mul_fmpz(to._mat(), e1._mat(), e2._fmpz()))
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FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S, FMPZ_POLYXX_COND_S,
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fmpz_poly_mat_scalar_mul_fmpz_poly(to._mat(), e1._mat(), e2._poly()))
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FLINT_DEFINE_BINARY_EXPR_COND2(plus, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_add(to._mat(), e1._mat(), e2._mat()))
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FLINT_DEFINE_BINARY_EXPR_COND2(minus, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_sub(to._mat(), e1._mat(), e2._mat()))
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FLINT_DEFINE_UNARY_EXPR_COND(negate, fmpz_poly_matxx, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_neg(to._mat(), from._mat()))
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FLINT_DEFINE_UNARY_EXPR_COND(transpose_op, fmpz_poly_matxx, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_transpose(to._mat(), from._mat()))
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FLINT_DEFINE_UNARY_EXPR_COND(trace_op, fmpz_polyxx, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_trace(to._poly(), from._mat()))
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FLINT_DEFINE_THREEARY_EXPR_COND3(mat_at_op, fmpz_polyxx,
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FMPZ_POLY_MATXX_COND_S, traits::fits_into_slong, traits::fits_into_slong,
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fmpz_poly_set(to._poly(), fmpz_poly_mat_entry(e1._mat(), e2, e3)))
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FLINT_DEFINE_BINARY_EXPR_COND2(evaluate_op, fmpz_matxx,
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FMPZ_POLY_MATXX_COND_S, FMPZXX_COND_S,
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fmpz_poly_mat_evaluate_fmpz(to._mat(), e1._mat(), e2._fmpz()))
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FLINT_DEFINE_BINARY_EXPR_COND2(mul_classical_op, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_mul_classical(to._mat(), e1._mat(), e2._mat()))
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FLINT_DEFINE_BINARY_EXPR_COND2(mul_KS_op, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_mul_KS(to._mat(), e1._mat(), e2._mat()))
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FLINT_DEFINE_THREEARY_EXPR_COND3(mullow_op, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S, traits::fits_into_slong,
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fmpz_poly_mat_mullow(to._mat(), e1._mat(), e2._mat(), e3))
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FLINT_DEFINE_UNARY_EXPR_COND(sqr_op, fmpz_poly_matxx, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_sqr(to._mat(), from._mat()))
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FLINT_DEFINE_UNARY_EXPR_COND(sqr_classical_op, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_sqr_classical(to._mat(), from._mat()))
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FLINT_DEFINE_UNARY_EXPR_COND(sqr_KS_op, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_sqr_KS(to._mat(), from._mat()))
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FLINT_DEFINE_BINARY_EXPR_COND2(sqrlow_op, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S, traits::fits_into_slong,
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fmpz_poly_mat_sqrlow(to._mat(), e1._mat(), e2))
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FLINT_DEFINE_BINARY_EXPR_COND2(pow_op, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S, traits::is_unsigned_integer,
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fmpz_poly_mat_pow(to._mat(), e1._mat(), e2))
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FLINT_DEFINE_THREEARY_EXPR_COND3(pow_trunc_op, fmpz_poly_matxx,
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FMPZ_POLY_MATXX_COND_S, traits::is_unsigned_integer, traits::fits_into_slong,
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fmpz_poly_mat_pow_trunc(to._mat(), e1._mat(), e2, e3))
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FLINT_DEFINE_UNARY_EXPR_COND(det_op, fmpz_polyxx, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_det(to._poly(), from._mat()))
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FLINT_DEFINE_UNARY_EXPR_COND(det_fflu_op, fmpz_polyxx, FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_det_fflu(to._poly(), from._mat()))
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FLINT_DEFINE_UNARY_EXPR_COND(det_interpolate_op, fmpz_polyxx,
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FMPZ_POLY_MATXX_COND_S,
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fmpz_poly_mat_det_interpolate(to._poly(), from._mat()))
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namespace rdetail {
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typedef make_ltuple<mp::make_tuple<bool, fmpz_poly_matxx, fmpz_polyxx>::type >::type
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fmpz_poly_mat_inv_rt;
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typedef make_ltuple<mp::make_tuple<slong, fmpz_poly_matxx>::type >::type
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fmpz_poly_mat_nullspace_rt;
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}
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FLINT_DEFINE_UNARY_EXPR_COND(inv_op, rdetail::fmpz_poly_mat_inv_rt,
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FMPZ_POLY_MATXX_COND_S,
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to.template get<0>() = fmpz_poly_mat_inv(to.template get<1>()._mat(),
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to.template get<2>()._poly(), from._mat()))
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FLINT_DEFINE_UNARY_EXPR_COND(nullspace_op, rdetail::fmpz_poly_mat_nullspace_rt,
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FMPZ_POLY_MATXX_COND_S, to.template get<0>() = fmpz_poly_mat_nullspace(
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to.template get<1>()._mat(), from._mat()))
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FLINT_DEFINE_BINARY_EXPR_COND2(solve_op, rdetail::fmpz_poly_mat_inv_rt,
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FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
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to.template get<0>() = fmpz_poly_mat_solve(to.template get<1>()._mat(),
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to.template get<2>()._poly(), e1._mat(), e2._mat()))
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FLINT_DEFINE_BINARY_EXPR_COND2(solve_fflu_op, rdetail::fmpz_poly_mat_inv_rt,
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FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
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to.template get<0>() = fmpz_poly_mat_solve_fflu(
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to.template get<1>()._mat(),
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to.template get<2>()._poly(), e1._mat(), e2._mat()))
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namespace rdetail {
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typedef make_ltuple<mp::make_tuple<slong, fmpz_poly_matxx, fmpz_polyxx>::type>::type
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fmpz_poly_matxx_fflu_rt;
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} // rdetail
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|
|
|
FLINT_DEFINE_THREEARY_EXPR_COND3(fflu_op, rdetail::fmpz_poly_matxx_fflu_rt,
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|
FMPZ_POLY_MATXX_COND_S, traits::is_maybe_perm, tools::is_bool,
|
|
to.template get<0>() = fmpz_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::fmpz_poly_matxx_fflu_rt,
|
|
FMPZ_POLY_MATXX_COND_S,
|
|
to.template get<0>() = fmpz_poly_mat_rref(to.template get<1>()._mat(),
|
|
to.template get<2>()._poly(), from._mat()))
|
|
|
|
FLINT_DEFINE_THREEARY_EXPR_COND3(solve_fflu_precomp_op, fmpz_poly_matxx,
|
|
traits::is_permxx, FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
|
|
fmpz_poly_mat_solve_fflu_precomp(to._mat(), e1._data(),
|
|
e2._mat(), e3._mat()))
|
|
} // rules
|
|
|
|
|
|
////////////////////////////////////////////////////////////////////////////
|
|
// fmpz_poly_mat_vecxx and prod
|
|
////////////////////////////////////////////////////////////////////////////
|
|
namespace detail {
|
|
struct fmpz_poly_mat_vector_data
|
|
{
|
|
slong size;
|
|
fmpz_poly_mat_t* array;
|
|
|
|
fmpz_poly_mat_vector_data(slong n, slong rows, slong cols)
|
|
: size(n)
|
|
{
|
|
array = new fmpz_poly_mat_t[n];
|
|
for(slong i = 0; i < n; ++i)
|
|
fmpz_poly_mat_init(array[i], rows, cols);
|
|
}
|
|
|
|
~fmpz_poly_mat_vector_data()
|
|
{
|
|
for(slong i = 0; i < size; ++i)
|
|
fmpz_poly_mat_clear(array[i]);
|
|
delete[] array;
|
|
}
|
|
|
|
fmpz_poly_mat_vector_data(const fmpz_poly_mat_vector_data& o)
|
|
: size(o.size)
|
|
{
|
|
array = new fmpz_poly_mat_t[size];
|
|
for(slong i = 0; i < size; ++i)
|
|
fmpz_poly_mat_init_set(array[i], o.array[i]);
|
|
}
|
|
|
|
fmpz_poly_matxx_ref at(slong i)
|
|
{return fmpz_poly_matxx_ref::make(array[i]);}
|
|
fmpz_poly_matxx_srcref at(slong i) const
|
|
{return fmpz_poly_matxx_srcref::make(array[i]);}
|
|
|
|
bool equals(const fmpz_poly_mat_vector_data& o) const
|
|
{
|
|
if(size != o.size)
|
|
return false;
|
|
for(slong i = 0; i < size; ++i)
|
|
if(!fmpz_poly_mat_equal(array[i], o.array[i]))
|
|
return false;
|
|
return true;
|
|
}
|
|
};
|
|
} // detail
|
|
// TODO temporary allocation
|
|
|
|
typedef vector_expression<
|
|
detail::wrapped_vector_traits<fmpz_poly_matxx, slong,
|
|
fmpz_poly_matxx_ref, fmpz_poly_matxx_srcref, fmpz_poly_mat_t>,
|
|
operations::immediate,
|
|
detail::fmpz_poly_mat_vector_data> fmpz_poly_mat_vecxx;
|
|
// TODO references
|
|
|
|
template<>
|
|
struct enable_vector_rules<fmpz_poly_mat_vecxx> : mp::false_ { };
|
|
|
|
namespace matrices {
|
|
template<>
|
|
struct outsize<operations::prod_op>
|
|
{
|
|
template<class Mat>
|
|
static slong rows(const Mat& m)
|
|
{
|
|
return m._data().head[0].rows();
|
|
}
|
|
template<class Mat>
|
|
static slong cols(const Mat& m)
|
|
{
|
|
return m._data().head[0].cols();
|
|
}
|
|
};
|
|
}
|
|
|
|
namespace rules {
|
|
// TODO hack to make code look like references are implemented
|
|
template<class T> struct FMPZ_POLY_MAT_VECXX_COND_S
|
|
: mp::equal_types<T, fmpz_poly_mat_vecxx> { };
|
|
#define FMPZ_POLY_MAT_VECXX_COND_T FMPZ_POLY_MAT_VECXX_COND_S
|
|
|
|
// TODO references
|
|
FLINT_DEFINE_GET(equals, bool, fmpz_poly_mat_vecxx, e1._data().equals(e2._data()))
|
|
|
|
FLINT_DEFINE_UNARY_EXPR_COND(prod_op, fmpz_poly_matxx,
|
|
FMPZ_POLY_MAT_VECXX_COND_S,
|
|
fmpz_poly_mat_prod(to._mat(), (fmpz_poly_mat_t * const) from._array(), from.size()))
|
|
} // rules
|
|
|
|
} // flint
|
|
|
|
#endif
|