472 lines
15 KiB
C
472 lines
15 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 CXX_FMPQXX_H
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#define CXX_FMPQXX_H
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#include <cstdlib>
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#include "fmpq.h"
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#include "flintxx/expression.h"
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#include "flintxx/flint_classes.h"
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#include "flintxx/flint_exception.h"
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#include "flintxx/frandxx.h"
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#include "fmpzxx.h"
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// TODO exhibit this as a specialisation of a generic fraction<fmpzxx>
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// TODO summation
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namespace flint {
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// function "declarations"
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FLINT_DEFINE_BINOP(fmpqxx_reconstruct)
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FLINT_DEFINE_FOURARY_HERE(fmpqxx_reconstruct) // four argument version
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FLINT_DEFINE_UNOP(fmpqxx_next_minimal)
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FLINT_DEFINE_UNOP(fmpqxx_next_signed_minimal)
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FLINT_DEFINE_UNOP(fmpqxx_next_calkin_wilf)
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FLINT_DEFINE_UNOP(fmpqxx_next_signed_calkin_wilf)
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FLINT_DEFINE_UNOP(fmpqxx_num)
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FLINT_DEFINE_UNOP(fmpqxx_den)
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namespace detail {
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template<class Fmpq>
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struct fmpq_traits {
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typedef FLINT_UNOP_BUILD_RETTYPE(fmpqxx_num, fmpzxx, Fmpq) numreturn_t;
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typedef FLINT_UNOP_BUILD_RETTYPE(fmpqxx_den, fmpzxx, Fmpq) denreturn_t;
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typedef numreturn_t cnumreturn_t;
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typedef denreturn_t cdenreturn_t;
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static numreturn_t num(const Fmpq& f) {return fmpqxx_num(f);}
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static denreturn_t den(const Fmpq& f) {return fmpqxx_den(f);}
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};
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}
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template<class Operation, class Data>
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class fmpqxx_expression
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: public expression<derived_wrapper<fmpqxx_expression>, Operation, Data>
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{
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public:
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typedef expression<derived_wrapper< ::flint::fmpqxx_expression>,
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Operation, Data> base_t;
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FLINTXX_DEFINE_BASICS(fmpqxx_expression)
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FLINTXX_DEFINE_CTORS(fmpqxx_expression)
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FLINTXX_DEFINE_C_REF(fmpqxx_expression, fmpq, _fmpq)
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// static methods which only make sense with fmpqxx
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FLINTXX_DEFINE_RANDFUNC(fmpq, randbits)
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FLINTXX_DEFINE_RANDFUNC(fmpq, randtest)
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FLINTXX_DEFINE_RANDFUNC(fmpq, randtest_not_zero)
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template<class Vec>
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static fmpqxx_expression from_cfrac(const Vec& v, slong n)
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{
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fmpqxx_expression res;
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res.set_cfrac(v, n);
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return res;
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}
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// TODO does this make more sense as standalone function?
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template<class Fmpz1, class Fmpz2>
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static FLINT_BINOP_ENABLE_RETTYPE(fmpqxx_reconstruct, Fmpz1, Fmpz2)
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reconstruct(const Fmpz1& a, const Fmpz2& m)
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{
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return fmpqxx_reconstruct(a, m);
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}
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template<class Fmpz1, class Fmpz2, class Fmpz3, class Fmpz4>
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static FLINT_FOURARY_ENABLE_RETTYPE(fmpqxx_reconstruct,
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Fmpz1, Fmpz2, Fmpz3, Fmpz4)
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reconstruct(const Fmpz1& a, const Fmpz2& m, const Fmpz3& N, const Fmpz4& D)
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{
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return fmpqxx_reconstruct(a, m, N, D);
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}
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template<class F1, class F2>
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void set_frac(const F1& f1, const F2& f2)
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{
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num() = f1;
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den() = f2;
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canonicalise();
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}
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template<class F1, class F2>
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static fmpqxx_expression frac(const F1& f1, const F2& f2)
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{
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fmpqxx_expression res;
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res.set_frac(f1, f2);
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return res;
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}
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template<class T>
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void set_integer(const T& t)
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{
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num() = t;
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den() = 1u;
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}
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template<class T>
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static fmpqxx_expression integer(const T& t)
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{
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fmpqxx_expression res;
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res.set_integer(t);
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return res;
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}
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static fmpqxx_expression zero(){return fmpqxx_expression();}
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static fmpqxx_expression one()
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{
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fmpqxx_expression res;
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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 immediates
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void canonicalise() {fmpq_canonicalise(_fmpq());}
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bool is_canonical() const {return fmpq_is_canonical(_fmpq());}
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void set_zero() {fmpq_zero(_fmpq());}
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void set_one() {fmpq_one(_fmpq());}
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template<class Vec>
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void set_cfrac(const Vec& v, slong n)
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{
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fmpq_set_cfrac(this->_fmpq(), v._array(), n);
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}
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// Numerator and denominator access
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typedef detail::fmpq_traits<fmpqxx_expression> traits_t;
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typename traits_t::numreturn_t num() {return traits_t::num(*this);}
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typename traits_t::cnumreturn_t num() const {return traits_t::num(*this);}
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typename traits_t::denreturn_t den() {return traits_t::den(*this);}
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typename traits_t::cdenreturn_t den() const
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{return traits_t::den(*this);}
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// These cause evaluation
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bool is_zero() const {return fmpq_is_zero(this->evaluate()._fmpq());}
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bool is_one() const {return fmpq_is_one(this->evaluate()._fmpq());}
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// TODO make this only work on immediates?
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slong cfrac_bound() const {return fmpq_cfrac_bound(this->evaluate()._fmpq());}
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int sgn() const {return fmpq_sgn(this->evaluate()._fmpq());}
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mp_bitcnt_t height_bits() const
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{return fmpq_height_bits(this->evaluate()._fmpq());}
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FLINTXX_DEFINE_MEMBER_UNOP_(next_minimal, fmpqxx_next_minimal)
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FLINTXX_DEFINE_MEMBER_UNOP_(next_signed_minimal, fmpqxx_next_signed_minimal)
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FLINTXX_DEFINE_MEMBER_UNOP_(next_calkin_wilf, fmpqxx_next_calkin_wilf)
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FLINTXX_DEFINE_MEMBER_UNOP_(next_signed_calkin_wilf,
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fmpqxx_next_signed_calkin_wilf)
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// forwarded member functions
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FLINTXX_DEFINE_MEMBER_UNOP(abs)
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FLINTXX_DEFINE_MEMBER_UNOP(inv)
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FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(fmpzxx, height)
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FLINTXX_DEFINE_MEMBER_BINOP(pow)
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};
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namespace detail {
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struct fmpq_data;
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}
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typedef fmpqxx_expression<operations::immediate, detail::fmpq_data> fmpqxx;
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typedef fmpqxx_expression<operations::immediate,
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flint_classes::ref_data<fmpqxx, fmpq> > fmpqxx_ref;
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typedef fmpqxx_expression<operations::immediate,
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flint_classes::srcref_data<fmpqxx, fmpqxx_ref, fmpq> > fmpqxx_srcref;
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namespace detail {
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template<>
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struct fmpq_traits<fmpqxx_srcref>
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{
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typedef fmpzxx_srcref numreturn_t;
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typedef fmpzxx_srcref cnumreturn_t;
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typedef fmpzxx_srcref denreturn_t;
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typedef fmpzxx_srcref cdenreturn_t;
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template<class T>
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static cnumreturn_t num(T f)
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{return cnumreturn_t::make(fmpq_numref(f._fmpq()));}
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template<class T>
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static cnumreturn_t den(T f)
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{return cnumreturn_t::make(fmpq_denref(f._fmpq()));}
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};
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template<>
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struct fmpq_traits<fmpqxx_ref>
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{
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typedef fmpzxx_ref numreturn_t;
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typedef fmpzxx_ref denreturn_t;
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typedef fmpzxx_ref cnumreturn_t;
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typedef fmpzxx_ref cdenreturn_t;
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template<class T>
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static cnumreturn_t num(T f)
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{return cnumreturn_t::make(fmpq_numref(f._fmpq()));}
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template<class T>
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static cnumreturn_t den(T f)
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{return cnumreturn_t::make(fmpq_denref(f._fmpq()));}
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};
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template<> struct fmpq_traits<fmpqxx>
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{
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typedef fmpzxx_ref numreturn_t;
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typedef fmpzxx_ref denreturn_t;
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typedef fmpzxx_srcref cnumreturn_t;
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typedef fmpzxx_srcref cdenreturn_t;
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template<class T>
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static cnumreturn_t num(const T& f)
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{return cnumreturn_t::make(fmpq_numref(f._fmpq()));}
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template<class T>
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static cnumreturn_t den(const T& f)
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{return cnumreturn_t::make(fmpq_denref(f._fmpq()));}
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template<class T>
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static numreturn_t num(T& f)
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{return numreturn_t::make(fmpq_numref(f._fmpq()));}
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template<class T>
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static numreturn_t den(T& f)
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{return numreturn_t::make(fmpq_denref(f._fmpq()));}
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};
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struct fmpq_data
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{
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fmpq_t inner;
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typedef fmpq_t& data_ref_t;
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typedef const fmpq_t& data_srcref_t;
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fmpq_data() {fmpq_init(inner);}
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~fmpq_data() {fmpq_clear(inner);}
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fmpq_data(const fmpq_data& o)
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{
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fmpq_init(inner);
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fmpq_set(inner, o.inner);
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}
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fmpq_data(fmpqxx_srcref r)
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{
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fmpq_init(inner);
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fmpq_set(inner, r._fmpq());
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}
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fmpq_data(fmpzxx_srcref num, fmpzxx_srcref den)
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{
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fmpq_init(inner);
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fmpq_set_fmpz_frac(inner, num._fmpz(), den._fmpz());
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}
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template<class T, class U>
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fmpq_data(T num, U den,
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typename mp::enable_if<traits::fits_into_slong<T> >::type* = 0,
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typename mp::enable_if<traits::is_unsigned_integer<U> >::type* = 0)
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{
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fmpq_init(inner);
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fmpq_set_si(inner, num, den);
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}
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};
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} // detail
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// TODO macroize?
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namespace traits {
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template<class T> struct is_fmpqxx : mp::or_<
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traits::is_T_expr<T, fmpqxx>,
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flint_classes::is_source<fmpqxx, T> > { };
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} // traits
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namespace rules {
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#define FMPQXX_COND_S FLINTXX_COND_S(fmpqxx)
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#define FMPQXX_COND_T FLINTXX_COND_T(fmpqxx)
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FLINT_DEFINE_DOIT_COND2(assignment, FMPQXX_COND_T, FMPQXX_COND_S,
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fmpq_set(to._fmpq(), from._fmpq()))
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FLINT_DEFINE_DOIT_COND2(assignment, FMPQXX_COND_T, traits::fits_into_slong,
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fmpq_set_si(to._fmpq(), from, 1))
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// TODO mpq, mpfr?
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FLINTXX_DEFINE_TO_STR(fmpqxx, fmpq_get_str(0, base, from._fmpq()))
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FLINTXX_DEFINE_CMP(fmpqxx, fmpq_cmp(e1._fmpq(), e2._fmpq()))
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FLINTXX_DEFINE_SWAP(fmpqxx, fmpq_swap(e1._fmpq(), e2._fmpq()))
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FLINT_DEFINE_PRINT_COND(FMPQXX_COND_S, (fmpq_fprint(to, from._fmpq()), 1))
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FLINT_DEFINE_CBINARY_EXPR_COND2(plus, fmpqxx, FMPQXX_COND_S, FMPQXX_COND_S,
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fmpq_add(to._fmpq(), e1._fmpq(), e2._fmpq()))
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FLINT_DEFINE_CBINARY_EXPR_COND2(minus, fmpqxx, FMPQXX_COND_S, FMPQXX_COND_S,
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fmpq_sub(to._fmpq(), e1._fmpq(), e2._fmpq()))
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FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpqxx, FMPQXX_COND_S, FMPQXX_COND_S,
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fmpq_mul(to._fmpq(), e1._fmpq(), e2._fmpq()))
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FLINT_DEFINE_CBINARY_EXPR_COND2(divided_by, fmpqxx, FMPQXX_COND_S,
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FMPQXX_COND_S, fmpq_div(to._fmpq(), e1._fmpq(), e2._fmpq()))
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FLINT_DEFINE_CBINARY_EXPR_COND2(times, fmpqxx, FMPQXX_COND_S, FMPZXX_COND_S,
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fmpq_mul_fmpz(to._fmpq(), e1._fmpq(), e2._fmpz()))
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FLINT_DEFINE_BINARY_EXPR_COND2(divided_by, fmpqxx, FMPQXX_COND_S, FMPZXX_COND_S,
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fmpq_div_fmpz(to._fmpq(), e1._fmpq(), e2._fmpz()))
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FLINT_DEFINE_UNARY_EXPR_COND(negate, fmpqxx, FMPQXX_COND_S,
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fmpq_neg(to._fmpq(), from._fmpq()))
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FLINT_DEFINE_BINARY_EXPR_COND2(modulo, fmpzxx, FMPQXX_COND_S, FMPZXX_COND_S,
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execution_check(fmpq_mod_fmpz(to._fmpz(), e1._fmpq(), e2._fmpz()),
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"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
|