/usr/include/flint/padicxx.h is in libflint-dev 2.5.2-17build1.
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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_PADICXX_H
#define CXX_PADICXX_H CXX_PADICXX_H
#include <algorithm> // std::max
#include <cstdlib>
#include "padic.h"
#include "flintxx/expression.h"
#include "flintxx/flint_classes.h"
#include "flintxx/flint_exception.h"
#include "flintxx/frandxx.h"
#include "flintxx/stdmath.h"
#include "flintxx/traits.h"
#include "flintxx/tuple.h"
#include "fmpzxx.h"
#include "fmpqxx.h"
// TODO check codegen ...
// TODO padic_output_prec does not work on non-padic expressions,
// is that a problem?
namespace flint {
// function "declarations"
FLINT_DEFINE_UNOP(exp_rectangular)
FLINT_DEFINE_UNOP(exp_balanced)
FLINT_DEFINE_UNOP(log_rectangular)
FLINT_DEFINE_UNOP(log_balanced)
FLINT_DEFINE_UNOP(log_satoh)
FLINT_DEFINE_UNOP(teichmuller)
FLINT_DEFINE_BINOP(padic_val_fac)
class padicxx_ctx
{
private:
mutable padic_ctx_t ctx;
public:
// NB: you must not modify user-visible state of ctx through a constant
// instance of padicxx_ctx
padic_ctx_t& _ctx() const {return ctx;}
// XXX these two are not actually exposed in the C api ...
fmpzxx_ref get_p() {return fmpzxx_ref::make(ctx[0].p);}
fmpzxx_srcref get_p() const {return fmpzxx_srcref::make(ctx[0].p);}
padic_print_mode mode() const {return _ctx()->mode;}
padic_print_mode& mode() {return _ctx()->mode;}
// TODO more constructors? Should we wrap padic_print_mode?
padicxx_ctx(fmpzxx_srcref p, slong min, slong max, padic_print_mode mode)
{
padic_ctx_init(ctx, p._fmpz(), min, max, mode);
}
~padicxx_ctx() {padic_ctx_clear(ctx);}
};
class padicxx_ctx_srcref
{
private:
mutable padic_ctx_struct* ctx;
padicxx_ctx_srcref(padic_ctx_struct* c) : ctx(c) {}
public:
// NB: you must not modify user-visible state of ctx through a constant
// instance of padicxx_ctx
padic_ctx_struct* _ctx() const {return ctx;}
// XXX these two are not actually exposed in the C api ...
fmpzxx_ref get_p() {return fmpzxx_ref::make(ctx[0].p);}
fmpzxx_srcref get_p() const {return fmpzxx_srcref::make(ctx[0].p);}
padic_print_mode mode() const {return _ctx()->mode;}
padicxx_ctx_srcref(padicxx_ctx& c)
: ctx(c._ctx()) {}
static padicxx_ctx_srcref make(padic_ctx_struct* c)
{return padicxx_ctx_srcref(c);}
};
namespace traits {
template<class T> struct has_padicxx_ctx : mp::false_ { };
template<class T> struct is_padic_expr
: has_padicxx_ctx<typename tools::evaluation_helper<T>::type> { };
} // traits
namespace detail {
struct has_padicxx_ctx_predicate
{
template<class T> struct type : traits::has_padicxx_ctx<T> { };
};
template<class T, class Enable = void>
struct padicxx_max_prec;
template<class T>
struct padicxx_max_prec<T,
typename mp::enable_if<traits::has_padicxx_ctx<T> >::type>
{
static slong get(const T& p) {return p.prec();}
};
template<class T>
struct padicxx_max_prec<T,
typename mp::disable_if<traits::is_padic_expr<T> >::type>
{
static slong get(const T&) {return 0;}
};
template<class Data>
struct padicxx_max_prec_h;
template<class Head, class Tail>
struct padicxx_max_prec_h<tuple<Head, Tail> >
{
static slong get(const tuple<Head, Tail>& t)
{
slong p1 = padicxx_max_prec_h<Tail>::get(t.tail);
slong p2 =
padicxx_max_prec<typename traits::basetype<Head>::type>::get(t.head);
return std::max(p1, p2);
}
};
template<>
struct padicxx_max_prec_h<empty_tuple>
{
static slong get(empty_tuple) {return 0;}
};
template<class T>
struct padicxx_max_prec<T, typename mp::enable_if<mp::and_<
traits::is_padic_expr<T>,
mp::not_<traits::is_immediate<T> > > >::type>
{
static slong get(const T& e)
{return padicxx_max_prec_h<typename T::data_t>::get(e._data());}
};
} // detail
namespace tools {
template<class Expr>
padicxx_ctx_srcref find_padicxx_ctx(const Expr& e)
{
return tools::find_subexpr<detail::has_padicxx_ctx_predicate>(e).get_ctx();
}
template<class Expr>
slong padic_output_prec(const Expr& e)
{
return detail::padicxx_max_prec<Expr>::get(e);
}
} // tools
FLINT_DEFINE_UNOP(padicxx_unit)
namespace detail {
template<class Padic>
struct padic_traits
{
typedef FLINT_UNOP_BUILD_RETTYPE(padicxx_unit, fmpzxx, Padic)
unit_srcref_t;
typedef slong prec_ref_t;
typedef slong prec_srcref_t;
typedef slong val_ref_t;
typedef slong val_srcref_t;
static slong prec(const Padic& p) {return tools::padic_output_prec(p);}
static slong val(const Padic& p) {return padic_val(p.evaluate()._padic());}
static unit_srcref_t unit(const Padic& p) {return padicxx_unit(p);}
};
} //detail
template<class Operation, class Data>
class padicxx_expression
: public expression<derived_wrapper<padicxx_expression>, Operation, Data>
{
public:
typedef expression<derived_wrapper< ::flint::padicxx_expression>,
Operation, Data> base_t;
FLINTXX_DEFINE_BASICS(padicxx_expression)
FLINTXX_DEFINE_CTORS(padicxx_expression)
FLINTXX_DEFINE_C_REF(padicxx_expression, padic_struct, _padic)
public:
typedef detail::padic_traits<padicxx_expression> traits_t;
// These only make sense with immediates
void reduce() {padic_reduce(_padic(), _ctx());}
void set_zero() {padic_zero(_padic());}
void set_one() {padic_one(_padic());}
#define PADICXX_DEFINE_CTX \
padicxx_ctx_srcref get_ctx() const {return this->_data().ctx;} \
padic_ctx_struct* _ctx() const {return get_ctx()._ctx();}
PADICXX_DEFINE_CTX
static padicxx_expression zero(padicxx_ctx_srcref ctx)
{return padicxx_expression(ctx);}
static padicxx_expression zero(padicxx_ctx_srcref ctx, slong N)
{return padicxx_expression(ctx, N);}
static padicxx_expression one(padicxx_ctx_srcref ctx)
{
padicxx_expression res(ctx);
res.set_one();
return res;
}
static padicxx_expression one(padicxx_ctx_srcref ctx, slong N)
{
padicxx_expression res(ctx, N);
res.set_one();
return res;
}
template<class T>
static padicxx_expression from_QQ(const T& q, padicxx_ctx_srcref ctx,
typename mp::enable_if<mp::or_<traits::is_fmpqxx<T>,
traits::is_fmpzxx<T>, traits::is_integer<T> > >::type* = 0)
{
padicxx_expression res(ctx);
res = q;
return res;
}
template<class T>
static padicxx_expression from_QQ(const T& q, padicxx_ctx_srcref ctx,
slong N,
typename mp::enable_if<mp::or_<traits::is_fmpqxx<T>,
traits::is_fmpzxx<T>, traits::is_integer<T> > >::type* = 0)
{
padicxx_expression res(ctx, N);
res = q;
return res;
}
// TODO more?
// The above method get_ctx() only works on immediates, i.e. instances of
// padicxx. This next one here works on any composite expression which
// contains at least one instance of padicxx. Returns the context of one of
// those immediate subexpressions.
#define PADICXX_DEFINE_ESTIMATE_CTX \
padicxx_ctx_srcref estimate_ctx() const \
{ \
return tools::find_padicxx_ctx(*this); \
}
PADICXX_DEFINE_ESTIMATE_CTX
// Create a temporary. The context will be estimated, and the precision
// will be the maximum of all subexpressions.
evaluated_t create_temporary() const
{
return evaluated_t(estimate_ctx(), prec());
}
// static methods which only make sense with padicxx
static padicxx_expression randtest(frandxx& state,
padicxx_ctx_srcref ctx, slong prec = PADIC_DEFAULT_PREC)
{
padicxx_expression res(ctx, prec);
padic_randtest(res._padic(), state._data(), ctx._ctx());
return res;
}
static padicxx_expression randtest_not_zero(frandxx& state,
padicxx_ctx_srcref ctx, slong prec = PADIC_DEFAULT_PREC)
{
padicxx_expression res(ctx, prec);
padic_randtest_not_zero(res._padic(), state._data(), ctx._ctx());
return res;
}
static padicxx_expression randtest_int(frandxx& state,
padicxx_ctx_srcref ctx, slong prec = PADIC_DEFAULT_PREC)
{
padicxx_expression res(ctx, prec);
padic_randtest_int(res._padic(), state._data(), ctx._ctx());
return res;
}
#define PADICXX_DEFINE_TON \
typename flint_classes::to_srcref<typename base_t::derived_t>::type \
toN(slong N) const \
{ \
return flint_classes::to_srcref<typename base_t::derived_t>::type::make( \
this->_data().inner, get_ctx(), N); \
}
PADICXX_DEFINE_TON
typename traits_t::unit_srcref_t unit() const
{return traits_t::unit(*this);}
// Compute the maximal precision of all subexpressions
#define PADICXX_DEFINE_PREC \
typename traits_t::prec_ref_t prec() {return traits_t::prec(*this);} \
typename traits_t::prec_srcref_t prec() const \
{return traits_t::prec(*this);}
PADICXX_DEFINE_PREC
#define PADICXX_DEFINE_VAL \
typename traits_t::val_ref_t val() {return traits_t::val(*this);} \
typename traits_t::val_srcref_t val() const \
{return traits_t::val(*this);}
PADICXX_DEFINE_VAL
// these cause evaluation
bool is_zero() const {return padic_is_zero(this->evaluate()._padic());}
bool is_one() const {return padic_is_one(this->evaluate()._padic());}
// forwarding of lazy functions
FLINTXX_DEFINE_MEMBER_UNOP(exp)
FLINTXX_DEFINE_MEMBER_UNOP(exp_balanced)
FLINTXX_DEFINE_MEMBER_UNOP(exp_rectangular)
FLINTXX_DEFINE_MEMBER_UNOP(inv)
FLINTXX_DEFINE_MEMBER_UNOP(log)
FLINTXX_DEFINE_MEMBER_UNOP(log_balanced)
FLINTXX_DEFINE_MEMBER_UNOP(log_satoh)
FLINTXX_DEFINE_MEMBER_UNOP(sqrt)
FLINTXX_DEFINE_MEMBER_UNOP(teichmuller)
FLINTXX_DEFINE_MEMBER_BINOP(pow)
};
#define PADICXX_DEFINE_STD \
PADICXX_DEFINE_CTX \
PADICXX_DEFINE_ESTIMATE_CTX \
PADICXX_DEFINE_TON \
PADICXX_DEFINE_PREC \
PADICXX_DEFINE_VAL
namespace detail {
struct padic_data;
}
typedef padicxx_expression<operations::immediate, detail::padic_data> padicxx;
typedef padicxx_expression<operations::immediate,
flint_classes::ref_data<padicxx, padic_struct> > padicxx_ref;
typedef padicxx_expression<operations::immediate, flint_classes::srcref_data<
padicxx, padicxx_ref, padic_struct> > padicxx_srcref;
namespace traits {
template<> struct has_padicxx_ctx<padicxx> : mp::true_ { };
template<> struct has_padicxx_ctx<padicxx_ref> : mp::true_ { };
template<> struct has_padicxx_ctx<padicxx_srcref> : mp::true_ { };
template<class T> struct is_padicxx : flint_classes::is_Base<padicxx, T> { };
} // traits
namespace detail {
template<>
struct padic_traits<padicxx_srcref>
{
typedef fmpzxx_srcref unit_srcref_t;
template<class Poly>
static fmpzxx_srcref unit(const Poly& p)
{return fmpzxx_srcref::make(padic_unit(p._padic()));}
typedef slong prec_ref_t;
typedef slong prec_srcref_t;
typedef slong val_ref_t;
typedef slong val_srcref_t;
template<class P>
static slong prec(P p) {return p._data().N;}
template<class P>
static slong val(P p) {return padic_val(p._padic());}
};
template<>
struct padic_traits<padicxx_ref>
: padic_traits<padicxx_srcref>
{
typedef slong& prec_ref_t;
typedef slong& val_ref_t;
template<class P>
static slong& prec(P& p) {return padic_prec(p._padic());}
template<class P>
static slong prec(const P& p) {return padic_prec(p._padic());}
template<class P>
static slong& val(P& p) {return padic_val(p._padic());}
template<class P>
static slong val(const P& p) {return padic_val(p._padic());}
};
template<>
struct padic_traits<padicxx>
: padic_traits<padicxx_ref> { };
template<class T, class U>
struct faketemplate : mp::enable_if<mp::equal_types<T, U> > { };
} // detail
// NB: usually, the "padicname" parameter would not be necessary. We would
// leave that as a template, identifying the type by structname alone, and
// conveniently delay all instantiations. Unfortunately qadic and padic_poly
// have the same structname, so we cannot do this.
// Instead we pass in the class name explicitly, and delay relevant functions
// by hand...
#define PADICXX_DEFINE_REF_STRUCTS_(padicname, structname, precname, ctxtype) \
namespace flint_classes { \
template<> \
struct ref_data<padicname, structname> \
{ \
typedef void IS_REF_OR_CREF; \
typedef padicname wrapped_t; \
\
typedef structname* data_ref_t; \
typedef const structname* data_srcref_t; \
\
structname* inner; \
ctxtype ctx; \
\
template<class T> \
ref_data(T& o, typename detail::faketemplate<T, padicname>::type* = 0) \
: inner(o._data().inner), ctx(o._data().ctx) {} \
\
static ref_data make(structname* f, ctxtype ctx) \
{ \
return ref_data(f, ctx); \
} \
\
private: \
ref_data(structname* fp, ctxtype c) : inner(fp), ctx(c) {} \
}; \
\
template<class Ref> \
struct srcref_data<padicname, Ref, structname> \
{ \
typedef void IS_REF_OR_CREF; \
typedef padicname wrapped_t; \
\
typedef const structname* data_ref_t; \
typedef const structname* data_srcref_t; \
\
const structname* inner; \
ctxtype ctx; \
slong N; \
\
template<class T> \
srcref_data(const T& o, \
typename detail::faketemplate<T, padicname>::type* = 0) \
: inner(o._data().inner), ctx(o._data().ctx), N(o.prec()) {} \
template<class T> \
srcref_data(T o, typename detail::faketemplate<T, Ref>::type* = 0) \
: inner(o._data().inner), ctx(o._data().ctx), N(o.prec()) {} \
\
static srcref_data make(const structname* f, ctxtype ctx) \
{ \
return srcref_data(f, ctx); \
} \
static srcref_data make(const structname* f, ctxtype ctx, \
slong N) \
{ \
return srcref_data(f, ctx, N); \
} \
\
private: \
srcref_data(const structname* fp, ctxtype c) \
: inner(fp), ctx(c), N(precname(fp)) {} \
srcref_data(const structname* fp, ctxtype c, slong n) \
: inner(fp), ctx(c), N(n) {} \
}; \
} /* flint_classes */
#define PADICXX_DEFINE_REF_STRUCTS(padicname, structname, precname) \
PADICXX_DEFINE_REF_STRUCTS_(padicname, structname, precname, padicxx_ctx_srcref)
PADICXX_DEFINE_REF_STRUCTS(padicxx, padic_struct, padic_prec)
namespace detail {
struct padic_data
{
typedef padic_t& data_ref_t;
typedef const padic_t& data_srcref_t;
padicxx_ctx_srcref ctx;
padic_t inner;
padic_data(padicxx_ctx_srcref c)
: ctx(c)
{
padic_init(inner);
}
padic_data(padicxx_ctx_srcref c, slong N)
: ctx(c)
{
padic_init2(inner, N);
}
padic_data(const padic_data& o)
: ctx(o.ctx)
{
padic_init2(inner, padic_prec(o.inner));
padic_set(inner, o.inner, ctx._ctx());
}
~padic_data() {padic_clear(inner);}
padic_data(padicxx_srcref c)
: ctx(c.get_ctx())
{
padic_init2(inner, c.prec());
padic_set(inner, c._padic(), ctx._ctx());
}
};
} // detail
#define PADICXX_COND_S FLINTXX_COND_S(padicxx)
#define PADICXX_COND_T FLINTXX_COND_T(padicxx)
namespace rules {
FLINT_DEFINE_DOIT_COND2(assignment, PADICXX_COND_T, PADICXX_COND_S,
padic_set(to._padic(), from._padic(), to._ctx()))
FLINT_DEFINE_DOIT_COND2(assignment, PADICXX_COND_T, traits::is_signed_integer,
padic_set_si(to._padic(), from, to._ctx()))
FLINT_DEFINE_DOIT_COND2(assignment, PADICXX_COND_T, traits::is_unsigned_integer,
padic_set_ui(to._padic(), from, to._ctx()))
FLINT_DEFINE_DOIT_COND2(assignment, PADICXX_COND_T, FMPZXX_COND_S,
padic_set_fmpz(to._padic(), from._fmpz(), to._ctx()))
FLINT_DEFINE_DOIT_COND2(assignment, PADICXX_COND_T, FMPQXX_COND_S,
padic_set_fmpq(to._padic(), from._fmpq(), to._ctx()))
FLINTXX_DEFINE_CONVERSION_TMP(fmpzxx, padicxx,
padic_get_fmpz(to._fmpz(), from._padic(), from._ctx()))
FLINTXX_DEFINE_CONVERSION_TMP(fmpqxx, padicxx,
padic_get_fmpq(to._fmpq(), from._padic(), from._ctx()))
FLINTXX_DEFINE_TO_STR(padicxx, padic_get_str(0, from._padic(), from._ctx()))
FLINTXX_DEFINE_SWAP(padicxx, padic_swap(e1._padic(), e2._padic()))
FLINTXX_DEFINE_EQUALS(padicxx, padic_equal(e1._padic(), e2._padic()))
FLINT_DEFINE_UNARY_EXPR_COND(padicxx_unit_op, fmpzxx, PADICXX_COND_S,
fmpz_set(to._fmpz(), padic_unit(from._padic())))
FLINT_DEFINE_PRINT_COND(PADICXX_COND_S,
padic_fprint(to, from._padic(), from._ctx()))
FLINT_DEFINE_CBINARY_EXPR_COND2(plus, padicxx, PADICXX_COND_S, PADICXX_COND_S,
padic_add(to._padic(), e1._padic(), e2._padic(), to._ctx()))
FLINT_DEFINE_BINARY_EXPR_COND2(minus, padicxx, PADICXX_COND_S, PADICXX_COND_S,
padic_sub(to._padic(), e1._padic(), e2._padic(), to._ctx()))
FLINT_DEFINE_CBINARY_EXPR_COND2(times, padicxx, PADICXX_COND_S, PADICXX_COND_S,
padic_mul(to._padic(), e1._padic(), e2._padic(), to._ctx()))
FLINT_DEFINE_BINARY_EXPR_COND2(divided_by, padicxx, PADICXX_COND_S, PADICXX_COND_S,
padic_div(to._padic(), e1._padic(), e2._padic(), to._ctx()))
FLINT_DEFINE_BINARY_EXPR_COND2(shift, padicxx, PADICXX_COND_S,
traits::fits_into_slong,
padic_shift(to._padic(), e1._padic(), e2, to._ctx()))
FLINT_DEFINE_UNARY_EXPR_COND(negate, padicxx, PADICXX_COND_S,
padic_neg(to._padic(), from._padic(), to._ctx()))
// lazy functions
FLINT_DEFINE_UNARY_EXPR_COND(sqrt_op, padicxx, PADICXX_COND_S,
execution_check(
padic_sqrt(to._padic(), from._padic(), to._ctx()), "sqrt", "padic"))
FLINT_DEFINE_BINARY_EXPR_COND2(pow_op, padicxx, PADICXX_COND_S,
traits::fits_into_slong,
padic_pow_si(to._padic(), e1._padic(), e2, to._ctx()))
FLINT_DEFINE_UNARY_EXPR_COND(exp_op, padicxx, PADICXX_COND_S,
execution_check(
padic_exp(to._padic(), from._padic(), to._ctx()), "exp", "padic"))
FLINT_DEFINE_UNARY_EXPR_COND(exp_balanced_op, padicxx, PADICXX_COND_S,
execution_check(padic_exp_balanced(
to._padic(), from._padic(), to._ctx()), "exp_balanced", "padic"))
FLINT_DEFINE_UNARY_EXPR_COND(exp_rectangular_op, padicxx, PADICXX_COND_S,
execution_check(padic_exp_rectangular(
to._padic(), from._padic(), to._ctx()),
"exp_rectangular", "padic"))
FLINT_DEFINE_UNARY_EXPR_COND(log_op, padicxx, PADICXX_COND_S,
execution_check(
padic_log(to._padic(), from._padic(), to._ctx()), "log", "padic"))
FLINT_DEFINE_UNARY_EXPR_COND(log_rectangular_op, padicxx, PADICXX_COND_S,
execution_check(padic_log_rectangular(
to._padic(), from._padic(), to._ctx()),
"log_rectangular", "padic"))
FLINT_DEFINE_UNARY_EXPR_COND(log_balanced_op, padicxx, PADICXX_COND_S,
execution_check(padic_log_balanced(
to._padic(), from._padic(), to._ctx()), "log_balanced", "padic"))
FLINT_DEFINE_UNARY_EXPR_COND(log_satoh_op, padicxx, PADICXX_COND_S,
execution_check(padic_log_satoh(to._padic(), from._padic(), to._ctx()),
"log_satoh", "padic"))
FLINT_DEFINE_UNARY_EXPR_COND(inv_op, padicxx, PADICXX_COND_S,
padic_inv(to._padic(), from._padic(), to._ctx()))
FLINT_DEFINE_UNARY_EXPR_COND(teichmuller_op, padicxx, PADICXX_COND_S,
padic_teichmuller(to._padic(), from._padic(), to._ctx()))
FLINT_DEFINE_BINARY_EXPR_COND2(padic_val_fac_op, fmpzxx,
FMPZXX_COND_S, FMPZXX_COND_S,
::padic_val_fac(to._fmpz(), e1._fmpz(), e2._fmpz()))
} // rules
// immediate version of padic_val_fac
template<class Fmpz, class T>
inline typename mp::enable_if<mp::and_<
traits::is_unsigned_integer<T>, traits::is_fmpzxx<Fmpz> >,
ulong>::type
padic_val_fac(T n, const Fmpz& p)
{
return padic_val_fac_ui(n, p._fmpz());
}
} // flint
#endif
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