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/*=============================================================================
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 FMPQ_MATXX_H
#define FMPQ_MATXX_H FMPQ_MATXX_H
#include "fmpq_mat.h"
#include "fmpqxx.h"
#include "fmpz_matxx.h"
#include "fmpz_vecxx.h"
#include "flintxx/ltuple.h"
#include "flintxx/matrix.h"
// TODO wrap entry_num, entry_den?
// TODO numden_rowwise_2
// TODO rref members
namespace flint {
FLINT_DEFINE_BINOP(hilbert_matrix)
FLINT_DEFINE_BINOP(mul_direct)
FLINT_DEFINE_BINOP(mul_cleared)
FLINT_DEFINE_BINOP(solve_fraction_free)
FLINT_DEFINE_UNOP(numden_colwise)
FLINT_DEFINE_UNOP(numden_entrywise)
FLINT_DEFINE_UNOP(numden_matwise)
FLINT_DEFINE_UNOP(numden_rowwise)
FLINT_DEFINE_UNOP(num_rowwise)
FLINT_DEFINE_UNOP(num_colwise)
FLINT_DEFINE_UNOP(rref_classical)
FLINT_DEFINE_UNOP(rref_fraction_free)
namespace detail {
template<class Mat>
struct fmpq_matxx_traits : matrices::generic_traits<Mat> { };
typedef make_ltuple<mp::make_tuple<fmpz_matxx, fmpz_matxx>::type>::type
fmpq_matxx_numden_entrywise_rt;
typedef make_ltuple<mp::make_tuple<fmpz_matxx, fmpzxx>::type>::type
fmpq_matxx_numden_matwise_rt;
typedef make_ltuple<mp::make_tuple<fmpz_matxx, fmpz_vecxx>::type>::type
fmpq_matxx_numden_rowwise_rt;
typedef fmpq_matxx_numden_rowwise_rt fmpq_matxx_numden_colwise_rt;
} // detail
template<class Operation, class Data>
class fmpq_matxx_expression
: public expression<derived_wrapper<fmpq_matxx_expression>, Operation, Data>
{
public:
typedef expression<derived_wrapper< ::flint::fmpq_matxx_expression>,
Operation, Data> base_t;
typedef detail::fmpq_matxx_traits<fmpq_matxx_expression> traits_t;
FLINTXX_DEFINE_BASICS(fmpq_matxx_expression)
FLINTXX_DEFINE_CTORS(fmpq_matxx_expression)
FLINTXX_DEFINE_C_REF(fmpq_matxx_expression, fmpq_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)
template<class Fmpz_mat, class Fmpz>
static fmpq_matxx_expression reconstruct(const Fmpz_mat& mat, const Fmpz& mod,
typename mp::enable_if<traits::is_fmpz_matxx<Fmpz_mat> >::type* = 0,
typename mp::enable_if<traits::is_fmpzxx<Fmpz> >::type* = 0)
{
fmpq_matxx_expression res(mat.rows(), mat.cols());
res.set_reconstruct(mat, mod);
return res;
}
template<class Fmpz_mat, class Fmpz>
static fmpq_matxx_expression frac(const Fmpz_mat& num, const Fmpz& den,
typename mp::enable_if<traits::is_fmpz_matxx<Fmpz_mat> >::type* = 0,
typename mp::enable_if<traits::is_fmpzxx<Fmpz> >::type* = 0)
{
fmpq_matxx_expression res(num.rows(), num.cols());
res.set_frac(num, den);
return res;
}
template<class Fmpz_mat>
static fmpq_matxx_expression integer_matrix(const Fmpz_mat& mat,
typename mp::enable_if<traits::is_fmpz_matxx<Fmpz_mat> >::type* = 0)
{
fmpq_matxx_expression res(mat.rows(), mat.cols());
res = mat;
return res;
}
static fmpq_matxx_expression randbits(slong rows, slong cols,
frandxx& state, mp_bitcnt_t bits)
{
fmpq_matxx_expression res(rows, cols);
res.set_randbits(state, bits);
return res;
}
static fmpq_matxx_expression randtest(slong rows, slong cols,
frandxx& state, mp_bitcnt_t bits)
{
fmpq_matxx_expression res(rows, cols);
res.set_randtest(state, bits);
return res;
}
static fmpq_matxx_expression zero(slong rows, slong cols)
{return fmpq_matxx_expression(rows, cols);}
static fmpq_matxx_expression one(slong rows, slong cols)
{
fmpq_matxx_expression res(rows, cols);
res.set_one();
return res;
}
// these only make sense with targets
void set_randbits(frandxx& state, mp_bitcnt_t bits)
{fmpq_mat_randbits(_mat(), state._data(), bits);}
void set_randtest(frandxx& state, mp_bitcnt_t bits)
{fmpq_mat_randtest(_mat(), state._data(), bits);}
void set_hilbert_matrix()
{fmpq_mat_hilbert_matrix(_mat());}
void set_zero()
{fmpq_mat_zero(_mat());}
void set_one()
{fmpq_mat_one(_mat());}
template<class Fmpz_mat, class Fmpz>
void set_frac(const Fmpz_mat& num, const Fmpz& den,
typename mp::enable_if<traits::is_fmpz_matxx<Fmpz_mat> >::type* = 0,
typename mp::enable_if<traits::is_fmpzxx<Fmpz> >::type* = 0)
{
fmpq_mat_set_fmpz_mat_div_fmpz(num.evaluate()._mat(),
den.evaluate()._fmpz());
}
template<class Fmpz_mat, class Fmpz>
void set_reconstruct(const Fmpz_mat& mat, const Fmpz& mod,
typename mp::enable_if<traits::is_fmpz_matxx<Fmpz_mat> >::type* = 0,
typename mp::enable_if<traits::is_fmpzxx<Fmpz> >::type* = 0)
{
execution_check(fmpq_mat_set_fmpz_mat_mod_fmpz(
_mat(), mat.evaluate()._mat(), mod.evaluate()._fmpz()),
"reconstruct", "fmpq_matxx");
}
bool pivot(slong r, slong c, permxx* perm = 0)
{return fmpq_mat_pivot(maybe_perm_data(perm), _mat(), r, c);}
// these cause evaluation
slong rank() const {return fmpq_mat_rank(this->evaluate()._mat());}
bool is_zero() const {return fmpq_mat_is_zero(this->evaluate()._mat());}
bool is_empty() const {return fmpq_mat_is_empty(this->evaluate()._mat());}
bool is_square() const {return fmpq_mat_is_square(this->evaluate()._mat());}
bool is_integral() const
{return fmpq_mat_is_integral(this->evaluate()._mat());}
// forwarded lazy ops
FLINTXX_DEFINE_MEMBER_UNOP(inv)
FLINTXX_DEFINE_MEMBER_UNOP(transpose)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpqxx, det)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpqxx, trace)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(detail::fmpq_matxx_numden_entrywise_rt,
numden_entrywise)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(detail::fmpq_matxx_numden_matwise_rt,
numden_matwise)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(detail::fmpq_matxx_numden_rowwise_rt,
numden_rowwise)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(detail::fmpq_matxx_numden_colwise_rt,
numden_colwise)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE_(fmpz_matxx, num_rowwise,
num_rowwise)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE_(fmpz_matxx, num_colwise,
num_colwise)
FLINTXX_DEFINE_MEMBER_BINOP(mul_cleared)
FLINTXX_DEFINE_MEMBER_BINOP(mul_direct)
FLINTXX_DEFINE_MEMBER_BINOP(solve_dixon)
FLINTXX_DEFINE_MEMBER_BINOP(solve_fraction_free)
};
namespace detail {
struct fmpq_mat_data;
} // detail
typedef fmpq_matxx_expression<operations::immediate, detail::fmpq_mat_data> fmpq_matxx;
typedef fmpq_matxx_expression<operations::immediate,
flint_classes::ref_data<fmpq_matxx, fmpq_mat_struct> > fmpq_matxx_ref;
typedef fmpq_matxx_expression<operations::immediate, flint_classes::srcref_data<
fmpq_matxx, fmpq_matxx_ref, fmpq_mat_struct> > fmpq_matxx_srcref;
template<>
struct matrix_traits<fmpq_matxx>
{
template<class M> static slong rows(const M& m)
{
return fmpq_mat_nrows(m._mat());
}
template<class M> static slong cols(const M& m)
{
return fmpq_mat_ncols(m._mat());
}
template<class M> static fmpqxx_srcref at(const M& m, slong i, slong j)
{
return fmpqxx_srcref::make(fmpq_mat_entry(m._mat(), i, j));
}
template<class M> static fmpqxx_ref at(M& m, slong i, slong j)
{
return fmpqxx_ref::make(fmpq_mat_entry(m._mat(), i, j));
}
};
namespace detail {
template<>
struct fmpq_matxx_traits<fmpq_matxx_srcref>
: matrices::generic_traits_srcref<fmpqxx_srcref> { };
template<>
struct fmpq_matxx_traits<fmpq_matxx_ref>
: matrices::generic_traits_ref<fmpqxx_ref> { };
template<> struct fmpq_matxx_traits<fmpq_matxx>
: matrices::generic_traits_nonref<fmpqxx_ref, fmpqxx_srcref> { };
struct fmpq_mat_data
{
typedef fmpq_mat_t& data_ref_t;
typedef const fmpq_mat_t& data_srcref_t;
fmpq_mat_t inner;
fmpq_mat_data(slong m, slong n)
{
fmpq_mat_init(inner, m, n);
}
fmpq_mat_data(const fmpq_mat_data& o)
{
fmpq_mat_init(inner, fmpq_mat_nrows(o.inner), fmpq_mat_ncols(o.inner));
fmpq_mat_set(inner, o.inner);
}
fmpq_mat_data(fmpq_matxx_srcref o)
{
fmpq_mat_init(inner, o.rows(), o.cols());
fmpq_mat_set(inner, o._data().inner);
}
~fmpq_mat_data() {fmpq_mat_clear(inner);}
};
} // detail
#define FMPQ_MATXX_COND_S FLINTXX_COND_S(fmpq_matxx)
#define FMPQ_MATXX_COND_T FLINTXX_COND_T(fmpq_matxx)
namespace traits {
template<class T> struct is_fmpq_matxx
: flint_classes::is_Base<fmpq_matxx, T> { };
} // traits
namespace mp {
template<class T1, class T2 = void, class T3 = void, class T4 = void>
struct all_fmpq_matxx : mp::and_<all_fmpq_matxx<T1>, all_fmpq_matxx<T2, T3, T4> > { };
template<class T>
struct all_fmpq_matxx<T, void, void, void> : traits::is_fmpq_matxx<T> { };
template<class Out, class T1, class T2 = void, class T3 = void, class T4 = void>
struct enable_all_fmpq_matxx
: mp::enable_if<all_fmpq_matxx<T1, T2, T3, T4>, Out> { };
} // mp
namespace matrices {
template<>
struct outsize<operations::mul_direct_op>
: outsize<operations::times> { };
template<>
struct outsize<operations::mul_cleared_op>
: outsize<operations::times> { };
template<> struct outsize<operations::solve_fraction_free_op>
: outsize<operations::solve_op> { };
template<>
struct outsize<operations::hilbert_matrix_op>
{
template<class Expr>
static slong rows(const Expr& e) {return e._data().first();}
template<class Expr>
static slong cols(const Expr& e) {return e._data().second();}
};
template<>
struct outsize<operations::numden_entrywise_op>
{
template<class Expr>
static slong rows(const Expr& e) {return e._data().first().rows();}
template<class Expr>
static slong cols(const Expr& e) {return e._data().first().cols();}
};
template<> struct outsize<operations::numden_colwise_op>
: outsize<operations::numden_entrywise_op> { };
template<> struct outsize<operations::numden_rowwise_op>
: outsize<operations::numden_entrywise_op> { };
template<> struct outsize<operations::numden_matwise_op>
: outsize<operations::numden_entrywise_op> { };
template<> struct outsize<operations::num_rowwise_op>
: outsize<operations::numden_entrywise_op> { };
template<> struct outsize<operations::num_colwise_op>
: outsize<operations::numden_entrywise_op> { };
} // matrices
namespace vectors {
template<>
struct outsize<operations::numden_rowwise_op>
{
template<class Expr>
static unsigned get(const Expr& e)
{
return e._data().first().rows();
}
};
template<>
struct outsize<operations::numden_colwise_op>
{
template<class Expr>
static unsigned get(const Expr& e)
{
return e._data().first().cols();
}
};
} // vectors
// temporary instantiation stuff
FLINTXX_DEFINE_TEMPORARY_RULES(fmpq_matxx)
namespace rules {
FLINT_DEFINE_DOIT_COND2(assignment, FMPQ_MATXX_COND_T, FMPQ_MATXX_COND_S,
fmpq_mat_set(to._mat(), from._mat()))
FLINT_DEFINE_DOIT_COND2(assignment, FMPQ_MATXX_COND_T, FMPZ_MATXX_COND_S,
fmpq_mat_set_fmpz_mat(to._mat(), from._mat()))
FLINTXX_DEFINE_SWAP(fmpq_matxx, fmpq_mat_swap(e1._mat(), e2._mat()))
FLINTXX_DEFINE_EQUALS(fmpq_matxx, fmpq_mat_equal(e1._mat(), e2._mat()))
FLINT_DEFINE_PRINT_COND(FMPQ_MATXX_COND_S, (fmpq_mat_print(from._mat()), 1))
FLINT_DEFINE_BINARY_EXPR_COND2(times, fmpq_matxx,
FMPQ_MATXX_COND_S, FMPQ_MATXX_COND_S,
fmpq_mat_mul(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_BINARY_EXPR_COND2(times, fmpq_matxx,
FMPZ_MATXX_COND_S, FMPQ_MATXX_COND_S,
fmpq_mat_mul_r_fmpz_mat(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_BINARY_EXPR_COND2(times, fmpq_matxx,
FMPQ_MATXX_COND_S, FMPZ_MATXX_COND_S,
fmpq_mat_mul_fmpz_mat(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpq_matxx,
FMPQ_MATXX_COND_S, FMPZXX_COND_S,
fmpq_mat_scalar_mul_fmpz(to._mat(), e1._mat(), e2._fmpz()))
FLINT_DEFINE_BINARY_EXPR_COND2(divided_by, fmpq_matxx,
FMPQ_MATXX_COND_S, FMPZXX_COND_S,
fmpq_mat_scalar_div_fmpz(to._mat(), e1._mat(), e2._fmpz()))
FLINT_DEFINE_BINARY_EXPR_COND2(mul_direct_op, fmpq_matxx,
FMPQ_MATXX_COND_S, FMPQ_MATXX_COND_S,
fmpq_mat_mul_direct(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_BINARY_EXPR_COND2(mul_cleared_op, fmpq_matxx,
FMPQ_MATXX_COND_S, FMPQ_MATXX_COND_S,
fmpq_mat_mul_cleared(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_BINARY_EXPR_COND2(plus, fmpq_matxx,
FMPQ_MATXX_COND_S, FMPQ_MATXX_COND_S,
fmpq_mat_add(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_BINARY_EXPR_COND2(minus, fmpq_matxx,
FMPQ_MATXX_COND_S, FMPQ_MATXX_COND_S,
fmpq_mat_sub(to._mat(), e1._mat(), e2._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(negate, fmpq_matxx, FMPQ_MATXX_COND_S,
fmpq_mat_neg(to._mat(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(transpose_op, fmpq_matxx, FMPQ_MATXX_COND_S,
fmpq_mat_transpose(to._mat(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(trace_op, fmpqxx, FMPQ_MATXX_COND_S,
fmpq_mat_trace(to._fmpq(), from._mat()))
FLINT_DEFINE_THREEARY_EXPR_COND3(mat_at_op, fmpqxx,
FMPQ_MATXX_COND_S, traits::fits_into_slong, traits::fits_into_slong,
fmpq_set(to._fmpq(), fmpq_mat_entry(e1._mat(), e2, e3)))
FLINT_DEFINE_BINARY_EXPR_COND2(hilbert_matrix_op, fmpq_matxx,
traits::fits_into_slong, traits::fits_into_slong,
to.set_hilbert_matrix())
FLINT_DEFINE_UNARY_EXPR_COND(det_op, fmpqxx, FMPQ_MATXX_COND_S,
fmpq_mat_det(to._fmpq(), from._mat()))
FLINT_DEFINE_BINARY_EXPR_COND2(solve_fraction_free_op, fmpq_matxx,
FMPQ_MATXX_COND_S, FMPQ_MATXX_COND_S,
execution_check(fmpq_mat_solve_fraction_free(
to._mat(), e1._mat(), e2._mat()),
"solve", "fmpq_mat"))
FLINT_DEFINE_BINARY_EXPR_COND2(solve_dixon_op, fmpq_matxx,
FMPQ_MATXX_COND_S, FMPQ_MATXX_COND_S,
execution_check(fmpq_mat_solve_dixon(to._mat(), e1._mat(), e2._mat()),
"solve", "fmpq_mat"))
FLINT_DEFINE_UNARY_EXPR_COND(inv_op, fmpq_matxx, FMPQ_MATXX_COND_S,
execution_check(fmpq_mat_inv(to._mat(), from._mat()),
"inv", "fmpq_mat"))
FLINT_DEFINE_UNARY_EXPR_COND(num_rowwise_op, fmpz_matxx,
FMPQ_MATXX_COND_S,
fmpq_mat_get_fmpz_mat_rowwise(to._mat(), 0, from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(num_colwise_op, fmpz_matxx,
FMPQ_MATXX_COND_S,
fmpq_mat_get_fmpz_mat_colwise(to._mat(), 0, from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(numden_entrywise_op,
detail::fmpq_matxx_numden_entrywise_rt, FMPQ_MATXX_COND_S,
fmpq_mat_get_fmpz_mat_entrywise(to.template get<0>()._mat(),
to.template get<1>()._mat(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(numden_matwise_op,
detail::fmpq_matxx_numden_matwise_rt, FMPQ_MATXX_COND_S,
fmpq_mat_get_fmpz_mat_matwise(to.template get<0>()._mat(),
to.template get<1>()._fmpz(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(numden_rowwise_op,
detail::fmpq_matxx_numden_rowwise_rt, FMPQ_MATXX_COND_S,
fmpq_mat_get_fmpz_mat_rowwise(to.template get<0>()._mat(),
to.template get<1>()._array(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(numden_colwise_op,
detail::fmpq_matxx_numden_colwise_rt, FMPQ_MATXX_COND_S,
fmpq_mat_get_fmpz_mat_colwise(to.template get<0>()._mat(),
to.template get<1>()._array(), from._mat()))
namespace rdetail {
typedef make_ltuple<mp::make_tuple<slong, fmpq_matxx>::type>::type
fmpq_matxx_rref_rt;
}
FLINT_DEFINE_UNARY_EXPR_COND(rref_op, rdetail::fmpq_matxx_rref_rt,
FMPQ_MATXX_COND_S,
to.template get<0>() =
fmpq_mat_rref(to.template get<1>()._mat(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(rref_classical_op, rdetail::fmpq_matxx_rref_rt,
FMPQ_MATXX_COND_S,
to.template get<0>() =
fmpq_mat_rref_classical(to.template get<1>()._mat(), from._mat()))
FLINT_DEFINE_UNARY_EXPR_COND(rref_fraction_free_op, rdetail::fmpq_matxx_rref_rt,
FMPQ_MATXX_COND_S,
to.template get<0>() =
fmpq_mat_rref_fraction_free(to.template get<1>()._mat(), from._mat()))
} // rules
} // flint
#endif
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