/usr/include/flint/fmpqxx.h is in libflint-dev 2.5.2-17build1.
This file is owned by root:root, with mode 0o644.
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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 CXX_FMPQXX_H
#define CXX_FMPQXX_H
#include <cstdlib>
#include "fmpq.h"
#include "flintxx/expression.h"
#include "flintxx/flint_classes.h"
#include "flintxx/flint_exception.h"
#include "flintxx/frandxx.h"
#include "fmpzxx.h"
// TODO exhibit this as a specialisation of a generic fraction<fmpzxx>
// TODO summation
namespace flint {
// function "declarations"
FLINT_DEFINE_BINOP(fmpqxx_reconstruct)
FLINT_DEFINE_FOURARY_HERE(fmpqxx_reconstruct) // four argument version
FLINT_DEFINE_UNOP(fmpqxx_next_minimal)
FLINT_DEFINE_UNOP(fmpqxx_next_signed_minimal)
FLINT_DEFINE_UNOP(fmpqxx_next_calkin_wilf)
FLINT_DEFINE_UNOP(fmpqxx_next_signed_calkin_wilf)
FLINT_DEFINE_UNOP(fmpqxx_num)
FLINT_DEFINE_UNOP(fmpqxx_den)
namespace detail {
template<class Fmpq>
struct fmpq_traits {
typedef FLINT_UNOP_BUILD_RETTYPE(fmpqxx_num, fmpzxx, Fmpq) numreturn_t;
typedef FLINT_UNOP_BUILD_RETTYPE(fmpqxx_den, fmpzxx, Fmpq) denreturn_t;
typedef numreturn_t cnumreturn_t;
typedef denreturn_t cdenreturn_t;
static numreturn_t num(const Fmpq& f) {return fmpqxx_num(f);}
static denreturn_t den(const Fmpq& f) {return fmpqxx_den(f);}
};
}
template<class Operation, class Data>
class fmpqxx_expression
: public expression<derived_wrapper<fmpqxx_expression>, Operation, Data>
{
public:
typedef expression<derived_wrapper< ::flint::fmpqxx_expression>,
Operation, Data> base_t;
FLINTXX_DEFINE_BASICS(fmpqxx_expression)
FLINTXX_DEFINE_CTORS(fmpqxx_expression)
FLINTXX_DEFINE_C_REF(fmpqxx_expression, fmpq, _fmpq)
// static methods which only make sense with fmpqxx
FLINTXX_DEFINE_RANDFUNC(fmpq, randbits)
FLINTXX_DEFINE_RANDFUNC(fmpq, randtest)
FLINTXX_DEFINE_RANDFUNC(fmpq, randtest_not_zero)
template<class Vec>
static fmpqxx_expression from_cfrac(const Vec& v, slong n)
{
fmpqxx_expression res;
res.set_cfrac(v, n);
return res;
}
// TODO does this make more sense as standalone function?
template<class Fmpz1, class Fmpz2>
static FLINT_BINOP_ENABLE_RETTYPE(fmpqxx_reconstruct, Fmpz1, Fmpz2)
reconstruct(const Fmpz1& a, const Fmpz2& m)
{
return fmpqxx_reconstruct(a, m);
}
template<class Fmpz1, class Fmpz2, class Fmpz3, class Fmpz4>
static FLINT_FOURARY_ENABLE_RETTYPE(fmpqxx_reconstruct,
Fmpz1, Fmpz2, Fmpz3, Fmpz4)
reconstruct(const Fmpz1& a, const Fmpz2& m, const Fmpz3& N, const Fmpz4& D)
{
return fmpqxx_reconstruct(a, m, N, D);
}
template<class F1, class F2>
void set_frac(const F1& f1, const F2& f2)
{
num() = f1;
den() = f2;
canonicalise();
}
template<class F1, class F2>
static fmpqxx_expression frac(const F1& f1, const F2& f2)
{
fmpqxx_expression res;
res.set_frac(f1, f2);
return res;
}
template<class T>
void set_integer(const T& t)
{
num() = t;
den() = 1u;
}
template<class T>
static fmpqxx_expression integer(const T& t)
{
fmpqxx_expression res;
res.set_integer(t);
return res;
}
static fmpqxx_expression zero(){return fmpqxx_expression();}
static fmpqxx_expression one()
{
fmpqxx_expression res;
res.set_one();
return res;
}
// These only make sense with immediates
void canonicalise() {fmpq_canonicalise(_fmpq());}
bool is_canonical() const {return fmpq_is_canonical(_fmpq());}
void set_zero() {fmpq_zero(_fmpq());}
void set_one() {fmpq_one(_fmpq());}
template<class Vec>
void set_cfrac(const Vec& v, slong n)
{
fmpq_set_cfrac(this->_fmpq(), v._array(), n);
}
// Numerator and denominator access
typedef detail::fmpq_traits<fmpqxx_expression> traits_t;
typename traits_t::numreturn_t num() {return traits_t::num(*this);}
typename traits_t::cnumreturn_t num() const {return traits_t::num(*this);}
typename traits_t::denreturn_t den() {return traits_t::den(*this);}
typename traits_t::cdenreturn_t den() const
{return traits_t::den(*this);}
// These cause evaluation
bool is_zero() const {return fmpq_is_zero(this->evaluate()._fmpq());}
bool is_one() const {return fmpq_is_one(this->evaluate()._fmpq());}
// TODO make this only work on immediates?
slong cfrac_bound() const {return fmpq_cfrac_bound(this->evaluate()._fmpq());}
int sgn() const {return fmpq_sgn(this->evaluate()._fmpq());}
mp_bitcnt_t height_bits() const
{return fmpq_height_bits(this->evaluate()._fmpq());}
FLINTXX_DEFINE_MEMBER_UNOP_(next_minimal, fmpqxx_next_minimal)
FLINTXX_DEFINE_MEMBER_UNOP_(next_signed_minimal, fmpqxx_next_signed_minimal)
FLINTXX_DEFINE_MEMBER_UNOP_(next_calkin_wilf, fmpqxx_next_calkin_wilf)
FLINTXX_DEFINE_MEMBER_UNOP_(next_signed_calkin_wilf,
fmpqxx_next_signed_calkin_wilf)
// forwarded member functions
FLINTXX_DEFINE_MEMBER_UNOP(abs)
FLINTXX_DEFINE_MEMBER_UNOP(inv)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpzxx, height)
FLINTXX_DEFINE_MEMBER_BINOP(pow)
};
namespace detail {
struct fmpq_data;
}
typedef fmpqxx_expression<operations::immediate, detail::fmpq_data> fmpqxx;
typedef fmpqxx_expression<operations::immediate,
flint_classes::ref_data<fmpqxx, fmpq> > fmpqxx_ref;
typedef fmpqxx_expression<operations::immediate,
flint_classes::srcref_data<fmpqxx, fmpqxx_ref, fmpq> > fmpqxx_srcref;
namespace detail {
template<>
struct fmpq_traits<fmpqxx_srcref>
{
typedef fmpzxx_srcref numreturn_t;
typedef fmpzxx_srcref cnumreturn_t;
typedef fmpzxx_srcref denreturn_t;
typedef fmpzxx_srcref cdenreturn_t;
template<class T>
static cnumreturn_t num(T f)
{return cnumreturn_t::make(fmpq_numref(f._fmpq()));}
template<class T>
static cnumreturn_t den(T f)
{return cnumreturn_t::make(fmpq_denref(f._fmpq()));}
};
template<>
struct fmpq_traits<fmpqxx_ref>
{
typedef fmpzxx_ref numreturn_t;
typedef fmpzxx_ref denreturn_t;
typedef fmpzxx_ref cnumreturn_t;
typedef fmpzxx_ref cdenreturn_t;
template<class T>
static cnumreturn_t num(T f)
{return cnumreturn_t::make(fmpq_numref(f._fmpq()));}
template<class T>
static cnumreturn_t den(T f)
{return cnumreturn_t::make(fmpq_denref(f._fmpq()));}
};
template<> struct fmpq_traits<fmpqxx>
{
typedef fmpzxx_ref numreturn_t;
typedef fmpzxx_ref denreturn_t;
typedef fmpzxx_srcref cnumreturn_t;
typedef fmpzxx_srcref cdenreturn_t;
template<class T>
static cnumreturn_t num(const T& f)
{return cnumreturn_t::make(fmpq_numref(f._fmpq()));}
template<class T>
static cnumreturn_t den(const T& f)
{return cnumreturn_t::make(fmpq_denref(f._fmpq()));}
template<class T>
static numreturn_t num(T& f)
{return numreturn_t::make(fmpq_numref(f._fmpq()));}
template<class T>
static numreturn_t den(T& f)
{return numreturn_t::make(fmpq_denref(f._fmpq()));}
};
struct fmpq_data
{
fmpq_t inner;
typedef fmpq_t& data_ref_t;
typedef const fmpq_t& data_srcref_t;
fmpq_data() {fmpq_init(inner);}
~fmpq_data() {fmpq_clear(inner);}
fmpq_data(const fmpq_data& o)
{
fmpq_init(inner);
fmpq_set(inner, o.inner);
}
fmpq_data(fmpqxx_srcref r)
{
fmpq_init(inner);
fmpq_set(inner, r._fmpq());
}
fmpq_data(fmpzxx_srcref num, fmpzxx_srcref den)
{
fmpq_init(inner);
fmpq_set_fmpz_frac(inner, num._fmpz(), den._fmpz());
}
template<class T, class U>
fmpq_data(T num, U den,
typename mp::enable_if<traits::fits_into_slong<T> >::type* = 0,
typename mp::enable_if<traits::is_unsigned_integer<U> >::type* = 0)
{
fmpq_init(inner);
fmpq_set_si(inner, num, den);
}
};
} // detail
// TODO macroize?
namespace traits {
template<class T> struct is_fmpqxx : mp::or_<
traits::is_T_expr<T, fmpqxx>,
flint_classes::is_source<fmpqxx, T> > { };
} // traits
namespace rules {
#define FMPQXX_COND_S FLINTXX_COND_S(fmpqxx)
#define FMPQXX_COND_T FLINTXX_COND_T(fmpqxx)
FLINT_DEFINE_DOIT_COND2(assignment, FMPQXX_COND_T, FMPQXX_COND_S,
fmpq_set(to._fmpq(), from._fmpq()))
FLINT_DEFINE_DOIT_COND2(assignment, FMPQXX_COND_T, traits::fits_into_slong,
fmpq_set_si(to._fmpq(), from, 1))
// TODO mpq, mpfr?
FLINTXX_DEFINE_TO_STR(fmpqxx, fmpq_get_str(0, base, from._fmpq()))
FLINTXX_DEFINE_CMP(fmpqxx, fmpq_cmp(e1._fmpq(), e2._fmpq()))
FLINTXX_DEFINE_SWAP(fmpqxx, fmpq_swap(e1._fmpq(), e2._fmpq()))
FLINT_DEFINE_PRINT_COND(FMPQXX_COND_S, (fmpq_fprint(to, from._fmpq()), 1))
FLINT_DEFINE_CBINARY_EXPR_COND2(plus, fmpqxx, FMPQXX_COND_S, FMPQXX_COND_S,
fmpq_add(to._fmpq(), e1._fmpq(), e2._fmpq()))
FLINT_DEFINE_CBINARY_EXPR_COND2(minus, fmpqxx, FMPQXX_COND_S, FMPQXX_COND_S,
fmpq_sub(to._fmpq(), e1._fmpq(), e2._fmpq()))
FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpqxx, FMPQXX_COND_S, FMPQXX_COND_S,
fmpq_mul(to._fmpq(), e1._fmpq(), e2._fmpq()))
FLINT_DEFINE_CBINARY_EXPR_COND2(divided_by, fmpqxx, FMPQXX_COND_S,
FMPQXX_COND_S, fmpq_div(to._fmpq(), e1._fmpq(), e2._fmpq()))
FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpqxx, FMPQXX_COND_S, FMPZXX_COND_S,
fmpq_mul_fmpz(to._fmpq(), e1._fmpq(), e2._fmpz()))
FLINT_DEFINE_BINARY_EXPR_COND2(divided_by, fmpqxx, FMPQXX_COND_S, FMPZXX_COND_S,
fmpq_div_fmpz(to._fmpq(), e1._fmpq(), e2._fmpz()))
FLINT_DEFINE_UNARY_EXPR_COND(negate, fmpqxx, FMPQXX_COND_S,
fmpq_neg(to._fmpq(), from._fmpq()))
FLINT_DEFINE_BINARY_EXPR_COND2(modulo, fmpzxx, FMPQXX_COND_S, FMPZXX_COND_S,
execution_check(fmpq_mod_fmpz(to._fmpz(), e1._fmpq(), e2._fmpz()),
"modular inversion", "fmpq"))
// TODO macroize?
namespace rdetail {
template<class Fmpq1, class Fmpq2, class T>
void fmpqxx_shift(Fmpq1& to, const Fmpq2& from, T howmuch)
{
if(howmuch < 0)
fmpq_div_2exp(to._fmpq(), from._fmpq(), -howmuch);
else
fmpq_mul_2exp(to._fmpq(), from._fmpq(), howmuch);
}
} // rdetail
FLINT_DEFINE_BINARY_EXPR_COND2(shift, fmpqxx,
FMPQXX_COND_S, traits::is_integer,
rdetail::fmpqxx_shift(to, e1, e2))
} // rules
FLINTXX_DEFINE_TERNARY(fmpqxx,
fmpq_addmul(to._fmpq(), e1._fmpq(), e2._fmpq()),
fmpq_submul(to._fmpq(), e1._fmpq(), e2._fmpq()),
FLINTXX_UNADORNED_MAKETYPES)
// immediate functions
template<class Fmpq>
inline typename mp::enable_if<traits::is_fmpqxx<Fmpq>, mp_bitcnt_t>::type
height_bits(const Fmpq& f)
{
return f.height_bits();
}
// TODO maybe as a member function?
template<class Fmpq1, class Fmpq2, class Vec>
inline typename mp::enable_if<mp::and_<
traits::is_fmpqxx<Fmpq2>,
FMPQXX_COND_T<Fmpq1> >,
int>::type
get_cfrac(Vec& v, Fmpq1& rem, const Fmpq2& x)
{
return fmpq_get_cfrac(v._array(), rem._fmpq(), x.evaluate()._fmpq(),
v.size());
}
// TODO also set_cfrac? c/f fmpqxx::set_cfrac ...
template<class Fmpq>
inline typename mp::enable_if<traits::is_fmpqxx<Fmpq>, int>::type
sgn(const Fmpq& f)
{
return f.sgn();
}
namespace rules {
FLINT_DEFINE_UNARY_EXPR_COND(abs_op, fmpqxx, FMPQXX_COND_S,
fmpq_abs(to._fmpq(), from._fmpq()))
FLINT_DEFINE_UNARY_EXPR_COND(height_op, fmpzxx, FMPQXX_COND_S,
fmpq_height(to._fmpz(), from._fmpq()))
FLINT_DEFINE_UNARY_EXPR_COND(inv_op, fmpqxx, FMPQXX_COND_S,
fmpq_inv(to._fmpq(), from._fmpq()))
FLINT_DEFINE_UNARY_EXPR_COND(fmpqxx_next_minimal_op, fmpqxx, FMPQXX_COND_S,
fmpq_next_minimal(to._fmpq(), from._fmpq()))
FLINT_DEFINE_UNARY_EXPR_COND(fmpqxx_next_signed_minimal_op, fmpqxx, FMPQXX_COND_S,
fmpq_next_signed_minimal(to._fmpq(), from._fmpq()))
FLINT_DEFINE_UNARY_EXPR_COND(fmpqxx_next_calkin_wilf_op, fmpqxx, FMPQXX_COND_S,
fmpq_next_calkin_wilf(to._fmpq(), from._fmpq()))
FLINT_DEFINE_UNARY_EXPR_COND(fmpqxx_next_signed_calkin_wilf_op, fmpqxx, FMPQXX_COND_S,
fmpq_next_signed_calkin_wilf(to._fmpq(), from._fmpq()))
FLINT_DEFINE_UNARY_EXPR_COND(fmpqxx_num_op, fmpzxx, FMPQXX_COND_S,
fmpz_set(to._fmpz(), fmpq_numref(from._fmpq())))
FLINT_DEFINE_UNARY_EXPR_COND(fmpqxx_den_op, fmpzxx, FMPQXX_COND_S,
fmpz_set(to._fmpz(), fmpq_denref(from._fmpq())))
// TODO should this throw a different exception type?
FLINT_DEFINE_BINARY_EXPR_COND2(fmpqxx_reconstruct_op, fmpqxx,
FMPZXX_COND_S, FMPZXX_COND_S,
execution_check(fmpq_reconstruct_fmpz(
to._fmpq(), e1._fmpz(), e2._fmpz()),
"rational reconstruction", "fmpq"))
FLINT_DEFINE_FOURARY_EXPR_COND4(fmpqxx_reconstruct_op, fmpqxx,
FMPZXX_COND_S, FMPZXX_COND_S, FMPZXX_COND_S, FMPZXX_COND_S,
execution_check(fmpq_reconstruct_fmpz_2(
to._fmpq(), e1._fmpz(), e2._fmpz(), e3._fmpz(), e4._fmpz()),
"rational reconstruction (v2)", "fmpq"))
FLINT_DEFINE_BINARY_EXPR_COND2(pow_op, fmpqxx,
FMPQXX_COND_S, traits::fits_into_slong,
fmpq_pow_si(to._fmpq(), e1._fmpq(), e2))
}
} // flint
// fmpq_vecxx
#include "flintxx/vector.h"
namespace flint {
namespace detail {
struct fmpq_vector_data
{
slong size;
fmpq* array;
fmpq_vector_data(slong n)
: size(n), array(_fmpq_vec_init(n)) {}
~fmpq_vector_data() {_fmpq_vec_clear(array, size);}
fmpq_vector_data(const fmpq_vector_data& o)
: size(o.size), array(_fmpq_vec_init(o.size))
{
for(slong i = 0;i < size;++i)
fmpq_set(array + i, o.array + i);
}
fmpqxx_ref at(slong i) {return fmpqxx_ref::make(array + i);}
fmpqxx_srcref at(slong i) const {return fmpqxx_srcref::make(array + i);}
};
} // detail
typedef vector_expression<
detail::wrapped_vector_traits<fmpqxx, slong, fmpqxx_ref, fmpqxx_srcref, fmpq>,
operations::immediate,
detail::fmpq_vector_data> fmpq_vecxx;
template<>
struct enable_vector_rules<fmpq_vecxx> : mp::false_ { };
namespace detail {
inline bool fmpq_vec_equal(const fmpq* v1, const fmpq* v2, slong n)
{
for(slong i = 0;i < n;++i)
if(!fmpq_equal(v1+i, v2+i))
return false;
return true;
}
}
namespace rules {
// TODO hack to make code look like references are implemented
template<class T> struct FMPQ_VECXX_COND_S : mp::equal_types<T, fmpq_vecxx> { };
#define FMPQ_VECXX_COND_T FMPQ_VECXX_COND_S
// TODO references
FLINT_DEFINE_GET(equals, bool, fmpq_vecxx,
e1.size() == e2.size()
&& detail::fmpq_vec_equal(e1._data().array, e2._data().array, e1.size()))
} // rules
} // flint
#endif
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