pqc/external/flint-2.4.3/flintxx/flint_classes.h
2014-05-24 23:16:06 +02:00

761 lines
34 KiB
C++

/*=============================================================================
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
******************************************************************************/
// Helpers to define concrete subclasses of expression.
// Contrary to other parts of this library, they are tailored very
// specifically towards FLINT.
#include "flint.h"
#include "mp.h"
#include "expression.h"
#include "expression_traits.h"
#include "evaluation_tools.h"
#include "tuple.h"
#ifndef CXX_FLINT_CLASSES_H
#define CXX_FLINT_CLASSES_H
// Flint classes distinguish themselves from "ordinary" expression template
// classes by a public typedef IS_FLINT_CLASS (see also FLINTXX_DEFINE_BASICS
// below). Most functionality in this header disables itself when used on a
// non-flint class.
// For all flint classes, Data of immediates must have typedefs data_ref_t and
// data_srcref_t.
// The immediates of any flint class come in three "flavours": ordinary, ref
// and srcref. Most of the classes below are used to convert these flavours.
// In order for this to work, the expression template class must contain a
// public typedef c_base_t which is the underlying "basic" C type (so not the
// length one array that is usually used), e.g. fmpz_poly_struct. Conversion to
// reference type then yields expression templates which have Data set to
// ref_data<Wrapped, c_base_t> or srcref_data. These implementation work as
// long as all data is stored in c_base_t. If not (e.g. for padic, where there
// is an additional reference to the context), ref_data and srcref_data have to
// be specialised appropriately.
namespace flint {
namespace flint_classes {
template<class Wrapped, class Inner>
struct ref_data
{
typedef void IS_REF_OR_CREF;
typedef Wrapped wrapped_t;
typedef Inner* data_ref_t;
typedef const Inner* data_srcref_t;
Inner* inner;
ref_data(Wrapped& o) : inner(o._data().inner) {}
static ref_data make(Inner* f) {return ref_data(f);}
private:
ref_data(Inner* fp) : inner(fp) {}
};
template<class Wrapped, class Ref, class Inner>
struct srcref_data
{
typedef void IS_REF_OR_CREF;
typedef Wrapped wrapped_t;
typedef const Inner* data_ref_t;
typedef const Inner* data_srcref_t;
const Inner* inner;
srcref_data(const Wrapped& o) : inner(o._data().inner) {}
srcref_data(Ref o) : inner(o._data().inner) {}
static srcref_data make(const Inner* f) {return srcref_data(f);}
private:
srcref_data(const Inner* fp) : inner(fp) {}
};
// Helper to determine if T is a flint class.
template<class T, class Enable = void> struct is_flint_class : mp::false_ { };
template<class T>
struct is_flint_class<T, typename T::IS_FLINT_CLASS> : mp::true_ { };
// From a lazy or immediate flint expression, obtain the evaluated
// non-reference type.
// Examples: fmpzxx -> fmpzxx
// fmpzxx_ref -> fmpzxx
// fmpzxx + fmpzxx -> fmpzxx
template<class T, class Enable = void>
struct to_nonref {typedef typename T::evaluated_t type;};
template<class T>
struct to_nonref<T, typename T::data_t::IS_REF_OR_CREF>
{
typedef typename T::data_t::wrapped_t type;
};
template<class T>
struct c_base_t
{
typedef typename T::c_base_t type;
};
// Given a lazy or non-lazy flint expression, obtain th evaluated reference
// type.
// Examples: fmpzxx -> fmpzxx_ref
// fmpzxx_ref -> fmpzxx_ref
// fmpzxx + fmpzxx -> fmpzxx_ref
template<class T>
struct to_ref
{
typedef typename T::template make_helper<operations::immediate, ref_data<
typename to_nonref<T>::type, typename c_base_t<T>::type> >::type type;
};
// Similarly for srcref.
template<class T>
struct to_srcref
{
typedef typename T::template make_helper<operations::immediate, srcref_data<
typename to_nonref<T>::type, typename to_ref<T>::type,
typename c_base_t<T>::type> >::type type;
};
// Compute if Ref if the reference type belonging to compare.
// Examples: fmpzxx_ref, fmpzxx + fmpzxx -> true_
// fmpzxx_srcref, fmpzxx -> false_
template<class Compare, class Ref>
struct is_ref : mp::equal_types<Ref, typename to_ref<Compare>::type> { };
// Similarly for srcref.
template<class Compare, class Ref>
struct is_srcref : mp::equal_types<Ref, typename to_srcref<Compare>::type> { };
// Similarly for non-ref.
template<class T>
struct is_nonref : mp::equal_types<T, typename to_nonref<T>::type > { };
// Flint classes allow implicit conversion only in very special situations.
// This template determines when. Currently, it is used exclusively to allow
// implicit conversion to reference types.
template<class T, class U, class Enable = void>
struct enableimplicit : mp::false_ { };
template<class T, class U>
struct enableimplicit<T, U, typename mp::enable_if<mp::and_<
is_flint_class<T>, is_flint_class<U>
> >::type>
: mp::and_<
traits::is_immediate_expr<T>,
traits::is_immediate_expr<U>,
mp::or_<
mp::and_<is_ref<U, T>, is_nonref<U> >,
mp::and_<is_srcref<U, T>, is_nonref<U> >,
mp::and_<is_srcref<U, T>, is_ref<U, U> >
> > { };
// Helper template which allows accessing data_(src)ref_t on immediates,
// without causing a compiler error on non-immediates.
// The main use for this are the _fmpz(), _fmpq() etc methods, which only
// work on immediates (but are defined on all instances).
template<class Expr, class Enable = void>
struct maybe_data_ref
{
typedef void data_ref_t;
typedef void data_srcref_t;
};
template<class Expr>
struct maybe_data_ref<Expr,
typename mp::enable_if<
// NB: cannot use is_immediate, since Expr may be incomplete type!
mp::equal_types<typename Expr::operation_t, operations::immediate> >::type>
{
typedef typename Expr::data_t::data_ref_t data_ref_t;
typedef typename Expr::data_t::data_srcref_t data_srcref_t;
};
// If Base is a non-ref flint class, determine if T is a source operand
// (i.e. non-ref, ref or srcref type belong to Base)
// Examples: fmpzxx, fmpzxx_srcref -> true
// fmpzxx, fmpzxx -> true
// fmpzxx, fmpqxx -> false
template<class Base, class T, class Enable = void>
struct is_source : mp::false_ { };
template<class Base, class T>
struct is_source<Base, T, typename mp::enable_if<
mp::and_<is_flint_class<T>, is_flint_class<Base> > >::type>
: mp::or_<mp::equal_types<T, Base>, is_ref<Base, T>, is_srcref<Base, T> > { };
// Same with target (i.e. disallow srcref).
template<class Base, class T, class Enable = void>
struct is_target : mp::false_ { };
template<class Base, class T>
struct is_target<Base, T, typename mp::enable_if<
mp::and_<is_flint_class<T>, is_flint_class<Base> > >::type>
: mp::or_<mp::equal_types<T, Base>, is_ref<Base, T> > { };
// Predicate version of the above. Useful for FLINT_DEFINE_*_COND.
// See FLINTXX_COND_S and FLINTXX_COND_T
template<class Base>
struct is_source_base
{
template<class T> struct type : is_source<Base, T> { };
};
template<class Base>
struct is_target_base
{
template<class T> struct type : is_target<Base, T> { };
};
// Helper for implementing x += y*z etc
template<class T, class Right1, class Right2>
struct ternary_assign_helper
{
typedef typename mp::make_tuple<Right1, Right2>::type tup_t;
typedef tools::evaluate_n<tup_t> ev2_t;
typedef typename ev2_t::temporaries_t temporaries_t;
typedef mp::back_tuple<temporaries_t> back_t;
typename back_t::type backing;
ev2_t ev2;
static temporaries_t backtemps(typename back_t::type& backing)
{
temporaries_t temps;
back_t::init(temps, backing);
return temps;
}
ternary_assign_helper(const tup_t& tup)
: backing(mp::htuples::fill<typename back_t::type>(
tools::temporaries_filler(
tup.first()+tup.second() /* XXX */))),
ev2(tup, backtemps(backing)) {}
const T& getleft() {return ev2.template get<0>();}
const T& getright() {return ev2.template get<1>();}
};
template<class T, class Right1, class Right2>
struct enable_ternary_assign
: mp::enable_if<mp::and_<
traits::is_T_expr<typename traits::basetype<Right1>::type, T>,
traits::is_T_expr<typename traits::basetype<Right2>::type, T> >, T&> { };
// convenience helper
template<class Base, class T> struct is_Base : mp::or_<
traits::is_T_expr<T, Base>,
is_source<Base, T> > { };
} // flint_classes
namespace traits {
// Enable evaluation into reference types. See can_evaluate_into in
// expression_traits.h.
// XXX why do we need to disable the case where T, U are equal?
// Is <T, T> not more special?
template<class T, class U>
struct can_evaluate_into<T, U,
typename mp::enable_if<mp::and_<flint_classes::is_flint_class<T>,
flint_classes::is_flint_class<U>,
mp::not_<mp::equal_types<T, U> > > >::type>
: flint_classes::is_ref<U, T> { };
} // traits
namespace detail {
template<class Expr, class Enable = void>
struct should_enable_extra_ternop : mp::false_ { };
template<class Expr>
struct should_enable_extra_ternop<Expr, typename mp::enable_if<
flint_classes::is_flint_class<Expr> >::type>
: mp::equal_types<Expr, typename flint_classes::to_ref<
typename flint_classes::to_nonref<Expr>::type>::type> { };
} // detail
// We add additional overloads for when the LHS is a reference type. The
// problem is that the standard overloads take LHS via reference, and rvalues
// (such as coming from fmpz_polyxx::get_coeff())
// cannot bind to this. In this case instead objects should be taken by value.
// However, this will make the overload ambiguous. Hence we take by const
// reference and then make an additional copy.
template<class Expr1, class Expr2>
inline typename mp::enable_if<detail::should_enable_extra_ternop<Expr1>, Expr1>::type
operator+=(const Expr1& e1, const Expr2& e2)
{
Expr1(e1).set(e1 + e2);
return e1;
}
template<class Expr1, class Expr2>
inline typename mp::enable_if<detail::should_enable_extra_ternop<Expr1>, Expr1>::type
operator-=(const Expr1& e1, const Expr2& e2)
{
Expr1(e1).set(e1 - e2);
return e1;
}
template<class Expr1, class Expr2>
inline typename mp::enable_if<detail::should_enable_extra_ternop<Expr1>, Expr1>::type
operator*=(const Expr1& e1, const Expr2& e2)
{
Expr1(e1).set(e1 * e2);
return e1;
}
template<class Expr1, class Expr2>
inline typename mp::enable_if<detail::should_enable_extra_ternop<Expr1>, Expr1>::type
operator/=(const Expr1& e1, const Expr2& e2)
{
Expr1(e1).set(e1 / e2);
return e1;
}
template<class Expr1, class Expr2>
inline typename mp::enable_if<detail::should_enable_extra_ternop<Expr1>, Expr1>::type
operator%=(const Expr1& e1, const Expr2& e2)
{
Expr1(e1).set(e1 % e2);
return e1;
}
template<class Expr1, class Expr2>
inline typename mp::enable_if<detail::should_enable_extra_ternop<Expr1>, Expr1>::type
operator<<=(const Expr1& e1, const Expr2& e2)
{
Expr1(e1).set(e1 << e2);
return e1;
}
template<class Expr1, class Expr2>
inline typename mp::enable_if<detail::should_enable_extra_ternop<Expr1>, Expr1>::type
operator>>=(const Expr1& e1, const Expr2& e2)
{
Expr1(e1).set(e1 >> e2);
return e1;
}
} // flint
// macros that help defining flint classes
#define FLINTXX_DEFINE_BASICS_NOFLINTCLASS(name) \
public: \
typedef typename base_t::evaluated_t evaluated_t; \
\
template<class T> \
struct doimplicit \
: flint_classes::enableimplicit<name, T> { }; \
\
template<class T> \
name& operator=(const T& t) \
{ \
this->set(t); \
return *this; \
} \
\
protected: \
explicit name(const Data& d) : base_t(d) {} \
\
template<class D, class O, class Da> \
friend class expression;
// all flint classes should have this
#define FLINTXX_DEFINE_BASICS(name) \
public: \
typedef void IS_FLINT_CLASS; \
FLINTXX_DEFINE_BASICS_NOFLINTCLASS(name) \
// all flint classes should have this
#define FLINTXX_DEFINE_CTORS(name) \
public: \
name() : base_t() {} \
template<class T> \
explicit name(const T& t, \
typename mp::disable_if<doimplicit<T> >::type* = 0) \
: base_t(t) {} \
template<class T> \
explicit name(T& t, \
typename mp::disable_if<doimplicit<T> >::type* = 0) \
: base_t(t) {} \
template<class T> \
name(const T& t, \
typename mp::enable_if<doimplicit<T> >::type* = 0) \
: base_t(t) {} \
template<class T> \
name(T& t, \
typename mp::enable_if<doimplicit<T> >::type* = 0) \
: base_t(t) {} \
template<class T, class U> \
name(const T& t, const U& u) : base_t(t, u) {} \
template<class T, class U> \
name(T& t, const U& u) : base_t(t, u) {} \
template<class T, class U, class V> \
name(const T& t, const U& u, const V& v) : base_t(t, u, v) {} \
template<class T, class U, class V> \
name(T& t, const U& u, const V& v) : base_t(t, u, v) {} \
template<class T, class U, class V, class W> \
name(const T& t, const U& u, const V& v, const W& w) \
: base_t(t, u, v, w) {} \
template<class T, class U, class V, class W> \
name(T& t, const U& u, const V& v, const W& w) \
: base_t(t, u, v, w) {}
// Enable the flint reference type scheme. This typedefs c_base_t to ctype,
// and adds the data access wrapper (like _fmpz(), _fmpq()) called accessname.
// It also provides reference constructors from C types.
// All flint classes should have this.
#define FLINTXX_DEFINE_C_REF(name, ctype, accessname) \
public: \
typedef ctype c_base_t; \
typedef flint_classes::maybe_data_ref<name> wrapped_traits; \
typename wrapped_traits::data_ref_t accessname() \
{ \
return this->_data().inner; \
} \
typename wrapped_traits::data_srcref_t accessname() const \
{ \
return this->_data().inner; \
} \
\
/* These only make sense with the reference types */ \
template<class T> \
static name make(T& f) \
{ \
return name(Data::make(f)); \
} \
template<class T> \
static name make(const T& f) \
{ \
return name(Data::make(f)); \
} \
template<class T, class U> \
static name make(T& f, const U& u) \
{ \
return name(Data::make(f, u)); \
} \
template<class T, class U> \
static name make(const T& f, const U& u) \
{ \
return name(Data::make(f, u)); \
} \
template<class T, class U, class V> \
static name make(const T& f, const U& u, const V& v) \
{ \
return name(Data::make(f, u, v)); \
}
// Add a statically forwarded constructor called name. (Forwarded to data_t).
#define FLINTXX_DEFINE_FORWARD_STATIC(name) \
template<class T> \
static typename base_t::derived_t name(const T& f) \
{ \
return typename base_t::derived_t(Data::name(f)); \
} \
template<class T, class U> \
static typename base_t::derived_t name(const T& f, const U& u) \
{ \
return typename base_t::derived_t(Data::name(f, u)); \
}
// Add a static randomisation function.
// XXX this is not really useful because the arguments are often different.
#define FLINTXX_DEFINE_RANDFUNC(CBase, name) \
static CBase##xx_expression name(frandxx& state, mp_bitcnt_t bits) \
{ \
CBase##xx_expression res; \
CBase##_##name(res._data().inner, state._data(), bits); \
return res; \
}
// Add a forwarded unary operation to the class. Suppose there is a unary
// operation foo() which returns my_typeA, and takes an argument of type
// my_typeB. Now on instances my_typeB, you want to write x.bar() for foo(x).
// Then add FLINTXX_DEFINE_MEMBER_UNOP_RTYPE_(my_typeA, bar, foo) to my_typeB.
//
// XXX due to circular definition problems, this cannot use the usual
// unary_op_helper type approach, and the unop must return the same type
// of expression
#define FLINTXX_DEFINE_MEMBER_UNOP_RTYPE_(rettype, name, funcname) \
FLINT_UNOP_BUILD_RETTYPE(funcname, rettype, typename base_t::derived_t) \
name() const \
{ \
return flint::funcname(*this); \
}
// Convenience version when name==funcname
#define FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(rettype, name) \
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE_(rettype, name, name)
// Convenience version when rettype==argtype
#define FLINTXX_DEFINE_MEMBER_UNOP_(name, funcname) \
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE_(typename base_t::derived_t, name, funcname)
// Convenience version when rettype==argtype and name==funcname
#define FLINTXX_DEFINE_MEMBER_UNOP(name) FLINTXX_DEFINE_MEMBER_UNOP_(name, name)
// Add a forwarded binary operation. It is not necessary to specify the return
// type.
#define FLINTXX_DEFINE_MEMBER_BINOP_(name, funcname) \
template<class T> \
typename detail::binary_op_helper<typename base_t::derived_t, \
operations::funcname##_op, T>::enable::type \
name(const T& t) const \
{ \
return flint::funcname(*this, t); \
}
// Convenience version when funcname==name.
#define FLINTXX_DEFINE_MEMBER_BINOP(name) \
FLINTXX_DEFINE_MEMBER_BINOP_(name, name)
#define FLINTXX_DEFINE_MEMBER_3OP_(name, funcname) \
template<class T, class U> \
typename detail::nary_op_helper2<operations::funcname##_op, \
typename base_t::derived_t, T, U>::enable::type \
name(const T& t, const U& u) const \
{ \
return flint::funcname(*this, t, u); \
}
#define FLINTXX_DEFINE_MEMBER_3OP(name) \
FLINTXX_DEFINE_MEMBER_3OP_(name, name)
#define FLINTXX_DEFINE_MEMBER_4OP_(name, funcname) \
template<class T, class U, class V> \
typename detail::nary_op_helper2<operations::funcname##_op, \
typename base_t::derived_t, T, U, V>::enable::type \
name(const T& t, const U& u, const V& v) const \
{ \
return flint::funcname(*this, t, u, v); \
}
#define FLINTXX_DEFINE_MEMBER_4OP(name) \
FLINTXX_DEFINE_MEMBER_4OP_(name, name)
#define FLINTXX_DEFINE_MEMBER_5OP_(name, funcname) \
template<class T, class U, class V, class W> \
typename detail::nary_op_helper2<operations::funcname##_op, \
typename base_t::derived_t, T, U, V, W>::enable::type \
name(const T& t, const U& u, const V& v, const W& w) const \
{ \
return flint::funcname(*this, t, u, v, w); \
}
#define FLINTXX_DEFINE_MEMBER_5OP(name) \
FLINTXX_DEFINE_MEMBER_5OP_(name, name)
// Helper macros for FLINT_DEFINE_*_COND?.
#define FLINTXX_COND_S(Base) flint_classes::is_source_base<Base>::template type
#define FLINTXX_COND_T(Base) flint_classes::is_target_base<Base>::template type
// Convenience rules. These all take a Base class as argument, and will
// automatically apply to the related reference types as well.
// Add a to_string() conversion rule, empolying the common flint idiom where
// the string is allocated by the to_string function.
#define FLINTXX_DEFINE_TO_STR(Base, eval) \
template<class T> \
struct to_string<T, \
typename mp::enable_if< FLINTXX_COND_S(Base)<T> >::type> \
{ \
static std::string get(const T& from, int base) \
{ \
char* str = eval; \
std::string res(str); \
flint_free(str); \
return res; \
} \
};
// Add a swap rule.
#define FLINTXX_DEFINE_SWAP(Base, eval) \
template<class T, class U> \
struct swap<T, U, typename mp::enable_if< mp::and_< \
FLINTXX_COND_T(Base)<T>, FLINTXX_COND_T(Base)<U> > >::type> \
{ \
static void doit(T& e1, U& e2) \
{ \
eval; \
} \
};
// Define a conversion rule through a default-constructed temporary object.
#define FLINTXX_DEFINE_CONVERSION_TMP(totype, Base, eval) \
template<class T> \
struct conversion<totype, T, \
typename mp::enable_if< FLINTXX_COND_S(Base)<T> >::type> \
{ \
static totype get(const T& from) \
{ \
totype to; \
eval; \
return to; \
} \
};
// Define a cmp rule.
#define FLINTXX_DEFINE_CMP(Base, eval) \
template<class T, class U> \
struct cmp<T, U, \
typename mp::enable_if<mp::and_<FLINTXX_COND_S(Base)<T>, \
FLINTXX_COND_S(Base)<U> > >::type> \
{ \
static int get(const T& e1, const U& e2) \
{ \
return eval; \
} \
};
// Define an equals rule.
#define FLINTXX_DEFINE_EQUALS(Base, eval) \
template<class T, class U> \
struct equals<T, U, typename mp::enable_if<mp::and_< \
FLINTXX_COND_S(Base)<T>, FLINTXX_COND_S(Base)<U> > >::type> \
{ \
static bool get(const T& e1, const U& e2) \
{ \
return eval; \
} \
};
// Define a string assignment rule (c/f many polynomial classes).
#define FLINTXX_DEFINE_ASSIGN_STR(Base, eval) \
template<class T, class U> \
struct assignment<T, U, \
typename mp::enable_if<mp::and_< \
FLINTXX_COND_T(Base)<T>, traits::is_string<U> > >::type> \
{ \
static void doit(T& to, const char* from) \
{ \
eval; \
} \
};
#define FLINTXX_UNADORNED_MAKETYPES(Base, left, op, right) \
Base##_expression< op, tuple< left, tuple< right, empty_tuple> > >
// Optimized evaluation rules using ternary arithmetic (addmul, submul)
// NB: this has to be called in namespace flint, not flint::rules!
#define FLINTXX_DEFINE_TERNARY(Base, addmuleval, submuleval, maketypes) \
namespace rules { \
/* a +- b*c */ \
template<class Op, class Left, class Right1, class Right2> \
struct evaluation<Op, \
tuple<Left, tuple< \
maketypes(Base, Right1, operations::times, Right2), \
/* NB: there is no particular reason to have the enable_if here, \
many other similar places would do */ \
typename mp::enable_if<mp::or_< \
mp::equal_types<Op, operations::plus>, \
mp::equal_types<Op, operations::minus> >, \
empty_tuple>::type> >, \
true, 1, \
typename tools::ternary_helper<Base, Left, Right1, Right2>::enable::type> \
{ \
/* Helpful for testing. */ \
static const unsigned TERNARY_OP_MARKER = 0; \
\
typedef Base return_t; \
typedef tools::ternary_helper<Base, Left, Right1, Right2> th; \
typedef typename th::temporaries_t temporaries_t; \
typedef tuple<Left, tuple< \
maketypes(Base, Right1, operations::times, Right2), \
empty_tuple> > data_t; \
static const bool is_add = mp::equal_types<Op, operations::plus>::val; \
\
static void doit(const data_t& input, temporaries_t temps, return_t* res) \
{ \
const Base* left = 0; \
const Base* right = 0; \
th::doit(input.first(), input.second()._data().first(), \
input.second()._data().second(), temps, res, right, left); \
const Base& e1 = *left; \
const Base& e2 = *right; \
Base& to = *res; \
if(is_add) \
{ \
addmuleval; \
} \
else \
{ \
submuleval; \
} \
} \
}; \
\
/* b*c + a */ \
template<class Right, class Left1, class Left2> \
struct evaluation<operations::plus, \
tuple<maketypes(Base, Left1, operations::times, Left2), \
tuple<Right, empty_tuple> >, \
true, 1, \
typename tools::ternary_helper<Base, \
Right, Left1, Left2, operations::times>::enable::type> \
{ \
/* Helpful for testing. */ \
static const unsigned TERNARY_OP_MARKER = 0; \
\
typedef Base return_t; \
typedef tools::ternary_helper<Base, Right, Left1, Left2> th; \
typedef typename th::temporaries_t temporaries_t; \
typedef tuple<maketypes(Base, Left1, operations::times, Left2), \
tuple<Right, empty_tuple> > data_t; \
\
static void doit(const data_t& input, temporaries_t temps, return_t* res) \
{ \
const Base* left = 0; \
const Base* right = 0; \
th::doit(input.second(), input.first()._data().first(), \
input.first()._data().second(), temps, res, right, left); \
const Base& e1 = *left; \
const Base& e2 = *right; \
Base& to = *res; \
addmuleval; \
} \
}; \
} /* rules */ \
\
/* TODO enable these with references on left hand side(?) */ \
/* a += b*c */ \
template<class Right1, class Right2> \
inline typename flint_classes::enable_ternary_assign<Base, Right1, Right2>::type \
operator+=(Base& to, \
const maketypes(Base, Right1, operations::times, Right2)& other) \
{ \
flint_classes::ternary_assign_helper<Base, Right1, Right2> tah( \
other._data()); \
const Base& e1 = tah.getleft(); \
const Base& e2 = tah.getright(); \
addmuleval; \
return to; \
} \
\
/* a -= b*c */ \
template<class Right1, class Right2> \
inline typename flint_classes::enable_ternary_assign<Base, Right1, Right2>::type \
operator-=(Base& to, \
const maketypes(Base, Right1, operations::times, Right2)& other) \
{ \
flint_classes::ternary_assign_helper<Base, Right1, Right2> tah( \
other._data()); \
const Base& e1 = tah.getleft(); \
const Base& e2 = tah.getright(); \
submuleval; \
return to; \
}
#endif