pqc/external/flint-2.4.3/fmpz_poly_matxx.h

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2014-05-18 22:03:37 +00:00
/*=============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2013 Tom Bachmann
******************************************************************************/
#ifndef FMPZ_POLY_MATXX_H
#define FMPZ_POLY_MATXX_H FMPZ_POLY_MATXX_H
#include "fmpz_poly_mat.h"
#include "fmpz_matxx.h"
#include "fmpz_polyxx.h"
#include "permxx.h"
#include "flintxx/matrix.h"
namespace flint {
FLINT_DEFINE_UNOP(prod)
namespace detail {
template<class Mat>
struct fmpz_poly_matxx_traits : matrices::generic_traits<Mat> { };
} // detail
template<class Operation, class Data>
class fmpz_poly_matxx_expression
: public expression<derived_wrapper<fmpz_poly_matxx_expression>, Operation, Data>
{
public:
typedef expression<derived_wrapper< ::flint::fmpz_poly_matxx_expression>,
Operation, Data> base_t;
typedef detail::fmpz_poly_matxx_traits<fmpz_poly_matxx_expression> traits_t;
FLINTXX_DEFINE_BASICS(fmpz_poly_matxx_expression)
FLINTXX_DEFINE_CTORS(fmpz_poly_matxx_expression)
FLINTXX_DEFINE_C_REF(fmpz_poly_matxx_expression, fmpz_poly_mat_struct, _mat)
template<class Expr>
static evaluated_t create_temporary_rowscols(
const Expr&, slong rows, slong cols)
{
return evaluated_t(rows, cols);
}
FLINTXX_DEFINE_MATRIX_METHODS(traits_t)
// static functions for fmpz_poly_matxx
template<class Fmpz_matxx>
static fmpz_poly_matxx_expression from_ground(const Fmpz_matxx& f)
{
return _from_ground(f.evaluate());
}
template<class Fmpz_matxx>
static fmpz_poly_matxx_expression _from_ground(const Fmpz_matxx& f)
{
fmpz_poly_matxx_expression res(f.rows(), f.cols());
for(slong i = 0;i < f.rows();++i)
for(slong j = 0;j < f.rows();++j)
res.at(i, j).set_coeff(0, f.at(i, j));
return res;
}
static fmpz_poly_matxx_expression randtest(slong rows, slong cols,
frandxx& state, slong len, mp_bitcnt_t bits)
{
fmpz_poly_matxx_expression res(rows, cols);
res.set_randtest(state, len, bits);
return res;
}
static fmpz_poly_matxx_expression randtest_unsigned(slong rows, slong cols,
frandxx& state, slong len, mp_bitcnt_t bits)
{
fmpz_poly_matxx_expression res(rows, cols);
res.set_randtest_unsigned(state, len, bits);
return res;
}
static fmpz_poly_matxx_expression randtest_sparse(slong rows, slong cols,
frandxx& state, slong len, mp_bitcnt_t bits, float density)
{
fmpz_poly_matxx_expression res(rows, cols);
res.set_randtest_sparse(state, len, bits, density);
return res;
}
static fmpz_poly_matxx_expression zero(slong rows, slong cols)
{return fmpz_poly_matxx_expression(rows, cols);}
static fmpz_poly_matxx_expression one(slong rows, slong cols)
{
fmpz_poly_matxx_expression res(rows, cols);
res.set_one();
return res;
}
// these only make sense with targets
void set_randtest(frandxx& state, slong len, mp_bitcnt_t bits)
{fmpz_poly_mat_randtest(_mat(), state._data(), len, bits);}
void set_randtest_unsigned(frandxx& state, slong len, mp_bitcnt_t bits)
{fmpz_poly_mat_randtest_unsigned(_mat(), state._data(), len, bits);}
void set_randtest_sparse(frandxx& state, slong len, mp_bitcnt_t bits,
float density)
{fmpz_poly_mat_randtest_sparse(_mat(), state._data(), len, bits, density);}
void truncate(slong len) {fmpz_poly_mat_truncate(_mat(), len);}
void set_zero()
{fmpz_poly_mat_zero(_mat());}
void set_one()
{fmpz_poly_mat_one(_mat());}
// these cause evaluation
slong rank() const {return fmpz_poly_mat_rank(this->evaluate()._mat());}
bool is_zero() const
{return fmpz_poly_mat_is_zero(this->evaluate()._mat());}
bool is_one() const
{return fmpz_poly_mat_is_one(this->evaluate()._mat());}
bool is_empty() const
{return fmpz_poly_mat_is_empty(this->evaluate()._mat());}
bool is_square() const
{return fmpz_poly_mat_is_square(this->evaluate()._mat());}
slong max_length() const
{return fmpz_poly_mat_max_length(this->evaluate()._mat());}
slong max_bits() const
{return fmpz_poly_mat_max_bits(this->evaluate()._mat());}
slong find_pivot_any(slong start, slong end, slong c) const
{
return fmpz_poly_mat_find_pivot_any(
this->evaluate()._mat(), start, end, c);
}
slong find_pivot_partial(slong start, slong end, slong c) const
{
return fmpz_poly_mat_find_pivot_partial(
this->evaluate()._mat(), start, end, c);
}
// forwarded lazy ops
FLINTXX_DEFINE_MEMBER_BINOP_(operator(), compeval)
FLINTXX_DEFINE_MEMBER_3OP(mullow)
FLINTXX_DEFINE_MEMBER_3OP(pow_trunc)
FLINTXX_DEFINE_MEMBER_BINOP(solve)
FLINTXX_DEFINE_MEMBER_BINOP(solve_fflu)
FLINTXX_DEFINE_MEMBER_BINOP(mul_KS)
FLINTXX_DEFINE_MEMBER_BINOP(mul_classical)
FLINTXX_DEFINE_MEMBER_BINOP(pow)
FLINTXX_DEFINE_MEMBER_BINOP(sqrlow)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpz_polyxx, det)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpz_polyxx, det_fflu)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpz_polyxx, det_interpolate)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpz_polyxx, trace)
FLINTXX_DEFINE_MEMBER_UNOP(sqr)
FLINTXX_DEFINE_MEMBER_UNOP(sqr_classical)
FLINTXX_DEFINE_MEMBER_UNOP(sqr_KS)
FLINTXX_DEFINE_MEMBER_UNOP(transpose)
//FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(nullspace) // TODO
//FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(???, inv) // TODO
//FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(???, rref) // TODO
FLINTXX_DEFINE_MEMBER_FFLU
};
namespace detail {
struct fmpz_poly_mat_data;
} // detail
typedef fmpz_poly_matxx_expression<operations::immediate,
detail::fmpz_poly_mat_data> fmpz_poly_matxx;
typedef fmpz_poly_matxx_expression<operations::immediate,
flint_classes::ref_data<fmpz_poly_matxx,
fmpz_poly_mat_struct> > fmpz_poly_matxx_ref;
typedef fmpz_poly_matxx_expression<operations::immediate,
flint_classes::srcref_data<
fmpz_poly_matxx, fmpz_poly_matxx_ref,
fmpz_poly_mat_struct> > fmpz_poly_matxx_srcref;
template<>
struct matrix_traits<fmpz_poly_matxx>
{
template<class M> static slong rows(const M& m)
{
return fmpz_poly_mat_nrows(m._mat());
}
template<class M> static slong cols(const M& m)
{
return fmpz_poly_mat_ncols(m._mat());
}
template<class M> static fmpz_polyxx_srcref at(const M& m, slong i, slong j)
{
return fmpz_polyxx_srcref::make(fmpz_poly_mat_entry(m._mat(), i, j));
}
template<class M> static fmpz_polyxx_ref at(M& m, slong i, slong j)
{
return fmpz_polyxx_ref::make(fmpz_poly_mat_entry(m._mat(), i, j));
}
};
namespace detail {
template<>
struct fmpz_poly_matxx_traits<fmpz_poly_matxx_srcref>
: matrices::generic_traits_srcref<fmpz_polyxx_srcref> { };
template<>
struct fmpz_poly_matxx_traits<fmpz_poly_matxx_ref>
: matrices::generic_traits_ref<fmpz_polyxx_ref> { };
template<> struct fmpz_poly_matxx_traits<fmpz_poly_matxx>
: matrices::generic_traits_nonref<fmpz_polyxx_ref, fmpz_polyxx_srcref> { };
struct fmpz_poly_mat_data
{
typedef fmpz_poly_mat_t& data_ref_t;
typedef const fmpz_poly_mat_t& data_srcref_t;
fmpz_poly_mat_t inner;
fmpz_poly_mat_data(slong m, slong n)
{
fmpz_poly_mat_init(inner, m, n);
}
fmpz_poly_mat_data(const fmpz_poly_mat_data& o)
{
fmpz_poly_mat_init_set(inner, o.inner);
}
fmpz_poly_mat_data(fmpz_poly_matxx_srcref o)
{
fmpz_poly_mat_init_set(inner, o._data().inner);
}
~fmpz_poly_mat_data() {fmpz_poly_mat_clear(inner);}
};
} // detail
#define FMPZ_POLY_MATXX_COND_S FLINTXX_COND_S(fmpz_poly_matxx)
#define FMPZ_POLY_MATXX_COND_T FLINTXX_COND_T(fmpz_poly_matxx)
namespace matrices {
template<>
struct outsize<operations::mul_KS_op>
: outsize<operations::times> { };
template<>
struct outsize<operations::mullow_op>
: outsize<operations::times> { };
} // matrices
FLINTXX_DEFINE_TEMPORARY_RULES(fmpz_poly_matxx)
namespace rules {
FLINT_DEFINE_DOIT_COND2(assignment, FMPZ_POLY_MATXX_COND_T, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_set(to._mat(), from._mat()))
FLINTXX_DEFINE_SWAP(fmpz_poly_matxx, fmpz_poly_mat_swap(e1._mat(), e2._mat()))
FLINTXX_DEFINE_EQUALS(fmpz_poly_matxx, fmpz_poly_mat_equal(e1._mat(), e2._mat()))
FLINT_DEFINE_PRINT_PRETTY_COND_2(FMPZ_POLY_MATXX_COND_S, const char*,
(fmpz_poly_mat_print(from._mat(), extra), 1))
FLINT_DEFINE_BINARY_EXPR_COND2(times, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_mul(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S, FMPZXX_COND_S,
fmpz_poly_mat_scalar_mul_fmpz(to._mat(), e1._mat(), e2._fmpz()))
FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S, FMPZ_POLYXX_COND_S,
fmpz_poly_mat_scalar_mul_fmpz_poly(to._mat(), e1._mat(), e2._poly()))
FLINT_DEFINE_BINARY_EXPR_COND2(plus, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_add(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_BINARY_EXPR_COND2(minus, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_sub(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(negate, fmpz_poly_matxx, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_neg(to._mat(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(transpose_op, fmpz_poly_matxx, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_transpose(to._mat(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(trace_op, fmpz_polyxx, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_trace(to._poly(), from._mat()))
FLINT_DEFINE_THREEARY_EXPR_COND3(mat_at_op, fmpz_polyxx,
FMPZ_POLY_MATXX_COND_S, traits::fits_into_slong, traits::fits_into_slong,
fmpz_poly_set(to._poly(), fmpz_poly_mat_entry(e1._mat(), e2, e3)))
FLINT_DEFINE_BINARY_EXPR_COND2(evaluate_op, fmpz_matxx,
FMPZ_POLY_MATXX_COND_S, FMPZXX_COND_S,
fmpz_poly_mat_evaluate_fmpz(to._mat(), e1._mat(), e2._fmpz()))
FLINT_DEFINE_BINARY_EXPR_COND2(mul_classical_op, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_mul_classical(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_BINARY_EXPR_COND2(mul_KS_op, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_mul_KS(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_THREEARY_EXPR_COND3(mullow_op, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S, traits::fits_into_slong,
fmpz_poly_mat_mullow(to._mat(), e1._mat(), e2._mat(), e3))
FLINT_DEFINE_UNARY_EXPR_COND(sqr_op, fmpz_poly_matxx, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_sqr(to._mat(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(sqr_classical_op, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_sqr_classical(to._mat(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(sqr_KS_op, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_sqr_KS(to._mat(), from._mat()))
FLINT_DEFINE_BINARY_EXPR_COND2(sqrlow_op, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S, traits::fits_into_slong,
fmpz_poly_mat_sqrlow(to._mat(), e1._mat(), e2))
FLINT_DEFINE_BINARY_EXPR_COND2(pow_op, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S, traits::is_unsigned_integer,
fmpz_poly_mat_pow(to._mat(), e1._mat(), e2))
FLINT_DEFINE_THREEARY_EXPR_COND3(pow_trunc_op, fmpz_poly_matxx,
FMPZ_POLY_MATXX_COND_S, traits::is_unsigned_integer, traits::fits_into_slong,
fmpz_poly_mat_pow_trunc(to._mat(), e1._mat(), e2, e3))
FLINT_DEFINE_UNARY_EXPR_COND(det_op, fmpz_polyxx, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_det(to._poly(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(det_fflu_op, fmpz_polyxx, FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_det_fflu(to._poly(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(det_interpolate_op, fmpz_polyxx,
FMPZ_POLY_MATXX_COND_S,
fmpz_poly_mat_det_interpolate(to._poly(), from._mat()))
namespace rdetail {
typedef make_ltuple<mp::make_tuple<bool, fmpz_poly_matxx, fmpz_polyxx>::type >::type
fmpz_poly_mat_inv_rt;
typedef make_ltuple<mp::make_tuple<slong, fmpz_poly_matxx>::type >::type
fmpz_poly_mat_nullspace_rt;
}
FLINT_DEFINE_UNARY_EXPR_COND(inv_op, rdetail::fmpz_poly_mat_inv_rt,
FMPZ_POLY_MATXX_COND_S,
to.template get<0>() = fmpz_poly_mat_inv(to.template get<1>()._mat(),
to.template get<2>()._poly(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(nullspace_op, rdetail::fmpz_poly_mat_nullspace_rt,
FMPZ_POLY_MATXX_COND_S, to.template get<0>() = fmpz_poly_mat_nullspace(
to.template get<1>()._mat(), from._mat()))
FLINT_DEFINE_BINARY_EXPR_COND2(solve_op, rdetail::fmpz_poly_mat_inv_rt,
FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
to.template get<0>() = fmpz_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::fmpz_poly_mat_inv_rt,
FMPZ_POLY_MATXX_COND_S, FMPZ_POLY_MATXX_COND_S,
to.template get<0>() = fmpz_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, fmpz_poly_matxx, fmpz_polyxx>::type>::type
fmpz_poly_matxx_fflu_rt;
} // rdetail
FLINT_DEFINE_THREEARY_EXPR_COND3(fflu_op, rdetail::fmpz_poly_matxx_fflu_rt,
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