/usr/include/flint/qadicxx.h is in libflint-dev 2.4.4-2.
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 QADICXX_H
#define QADICXX_H
#include <algorithm> // std::max
#include "qadic.h"
#include "flintxx/expression.h"
#include "flintxx/flint_classes.h"
#include "flintxx/matrix.h" // trace ...
#include "padicxx.h"
namespace flint {
FLINT_DEFINE_BINOP(frobenius)
FLINT_DEFINE_UNOP(norm)
FLINT_DEFINE_UNOP(norm_analytic)
FLINT_DEFINE_UNOP(norm_resultant)
class qadicxx_ctx
{
private:
mutable qadic_ctx_t ctx;
public:
// NB: you must not modify user-visible state of ctx through a constant
// instance of qadicxx_ctx
qadic_ctx_t& _ctx() const {return ctx;}
padicxx_ctx_srcref pctx() const
{return padicxx_ctx_srcref::make(&ctx->pctx);}
// TODO more constructors? Should we wrap padic_print_mode?
qadicxx_ctx(fmpzxx_srcref p, slong d, slong min, slong max,
padic_print_mode mode, const char* var = "x")
{
qadic_ctx_init_conway(ctx, p._fmpz(), d, min, max, var, mode);
}
~qadicxx_ctx() {qadic_ctx_clear(ctx);}
};
inline void print(const qadicxx_ctx& c)
{
qadic_ctx_print(c._ctx());
}
namespace traits {
template<class T> struct has_qadicxx_ctx : mp::false_ { };
template<class T> struct is_qadic_expr
: has_qadicxx_ctx<typename tools::evaluation_helper<T>::type> { };
} // traits
namespace detail {
struct has_qadicxx_ctx_predicate
{
template<class T> struct type : traits::has_qadicxx_ctx<T> { };
};
} // detail
namespace tools {
template<class Expr>
const qadicxx_ctx& find_qadicxx_ctx(const Expr& e)
{
return tools::find_subexpr<detail::has_qadicxx_ctx_predicate>(e).get_qctx();
}
} // tools
namespace detail {
template<class Qadic>
struct qadic_traits
{
static slong prec(const Qadic& q) {return tools::padic_output_prec(q);}
};
} // detail
template<class Operation, class Data>
class qadicxx_expression
: public expression<derived_wrapper<qadicxx_expression>, Operation, Data>
{
public:
typedef expression<derived_wrapper< ::flint::qadicxx_expression>,
Operation, Data> base_t;
FLINTXX_DEFINE_BASICS(qadicxx_expression)
FLINTXX_DEFINE_CTORS(qadicxx_expression)
FLINTXX_DEFINE_C_REF(qadicxx_expression, qadic_struct, _qadic)
typedef detail::qadic_traits<qadicxx_expression> traits_t;
// These only make sense with immediates
void reduce() {qadic_reduce(_qadic(), _ctx());}
void set_zero() {qadic_zero(_qadic());}
void set_one() {qadic_one(_qadic());}
void set_gen() {qadic_gen(_qadic(), _ctx());}
const qadicxx_ctx& get_qctx() const {return this->_data().ctx;}
padicxx_ctx_srcref get_ctx() const {return get_qctx().pctx();}
qadic_ctx_t& _ctx() const {return get_qctx()._ctx();}
// these only make sense with qadicxx
static qadicxx_expression zero(const qadicxx_ctx& ctx)
{return qadicxx_expression(ctx);}
static qadicxx_expression zero(const qadicxx_ctx& ctx, slong N)
{return qadicxx_expression(ctx, N);}
static qadicxx_expression one(const qadicxx_ctx& ctx)
{
qadicxx_expression res(ctx);
res.set_one();
return res;
}
static qadicxx_expression one(const qadicxx_ctx& ctx, slong N)
{
qadicxx_expression res(ctx, N);
res.set_one();
return res;
}
static qadicxx_expression gen(const qadicxx_ctx& ctx)
{
qadicxx_expression res(ctx);
res.set_gen();
return res;
}
static qadicxx_expression gen(const qadicxx_ctx& ctx, slong N)
{
qadicxx_expression res(ctx, N);
res.set_gen();
return res;
}
template<class Padic>
static qadicxx_expression from_ground(const qadicxx_ctx& ctx,
const Padic& p,
typename mp::enable_if<traits::is_padicxx<Padic> >::type* = 0)
{
qadicxx_expression res(ctx);
res = p;
return res;
}
template<class Padic>
static qadicxx_expression from_ground(const qadicxx_ctx& ctx, slong N,
const Padic& p,
typename mp::enable_if<traits::is_padicxx<Padic> >::type* = 0)
{
qadicxx_expression res(ctx, N);
res = p;
return res;
}
static qadicxx_expression randtest(frandxx& state,
const qadicxx_ctx& ctx, slong prec = PADIC_DEFAULT_PREC)
{
qadicxx_expression res(ctx, prec);
qadic_randtest(res._qadic(), state._data(), ctx._ctx());
return res;
}
static qadicxx_expression randtest_not_zero(frandxx& state,
const qadicxx_ctx& ctx, slong prec = PADIC_DEFAULT_PREC)
{
qadicxx_expression res(ctx, prec);
qadic_randtest_not_zero(res._qadic(), state._data(), ctx._ctx());
return res;
}
static qadicxx_expression randtest_val(frandxx& state,
slong val, const qadicxx_ctx& ctx, slong prec = PADIC_DEFAULT_PREC)
{
qadicxx_expression res(ctx, prec);
qadic_randtest_val(res._qadic(), state._data(), val, ctx._ctx());
return res;
}
static qadicxx_expression randtest_int(frandxx& state,
const qadicxx_ctx& ctx, slong prec = PADIC_DEFAULT_PREC)
{
qadicxx_expression res(ctx, prec);
qadic_randtest_int(res._qadic(), state._data(), ctx._ctx());
return res;
}
const qadicxx_ctx& estimate_ctx() const
{
return tools::find_qadicxx_ctx(*this);
}
// 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());
}
// TODO randomisation
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_qctx(), N);
}
slong prec () const {return traits_t::prec(*this);}
// these cause evaluation
slong val() const {return qadic_val(this->evaluate()._qadic());}
bool is_zero() const {return qadic_is_zero(this->evaluate()._qadic());}
bool is_one() const {return qadic_is_one(this->evaluate()._qadic());}
// forwarding of lazy functions
FLINTXX_DEFINE_MEMBER_BINOP(frobenius)
FLINTXX_DEFINE_MEMBER_BINOP(pow)
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(teichmuller)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(padicxx, trace)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(padicxx, norm)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(padicxx, norm_analytic)
FLINTXX_DEFINE_MEMBER_UNOP_RTYPE(padicxx, norm_resultant)
};
namespace detail {
struct qadic_data;
}
typedef qadicxx_expression<operations::immediate, detail::qadic_data> qadicxx;
typedef qadicxx_expression<operations::immediate,
flint_classes::ref_data<qadicxx, qadic_struct> > qadicxx_ref;
typedef qadicxx_expression<operations::immediate, flint_classes::srcref_data<
qadicxx, qadicxx_ref, qadic_struct> > qadicxx_srcref;
namespace traits {
template<> struct has_padicxx_ctx<qadicxx> : mp::true_ { };
template<> struct has_padicxx_ctx<qadicxx_ref> : mp::true_ { };
template<> struct has_padicxx_ctx<qadicxx_srcref> : mp::true_ { };
template<> struct has_qadicxx_ctx<qadicxx> : mp::true_ { };
template<> struct has_qadicxx_ctx<qadicxx_ref> : mp::true_ { };
template<> struct has_qadicxx_ctx<qadicxx_srcref> : mp::true_ { };
template<class T> struct is_qadicxx : flint_classes::is_Base<padicxx, T> { };
} // traits
namespace detail {
template<>
struct qadic_traits<qadicxx_srcref>
{
template<class Q>
static slong prec(const Q& q) {return q._data().N;}
};
template<>
struct qadic_traits<qadicxx_ref>
{
template<class Q>
static slong prec(const Q& q) {return qadic_prec(q._qadic());}
};
template<> struct qadic_traits<qadicxx> : qadic_traits<qadicxx_ref> { };
}
PADICXX_DEFINE_REF_STRUCTS_(qadicxx, qadic_struct, qadic_prec, const qadicxx_ctx&)
namespace detail {
struct qadic_data
{
typedef qadic_t& data_ref_t;
typedef const qadic_t& data_srcref_t;
const qadicxx_ctx& ctx;
qadic_t inner;
qadic_data(const qadicxx_ctx& c)
: ctx(c)
{
qadic_init(inner);
}
qadic_data(const qadicxx_ctx& c, slong N)
: ctx(c)
{
qadic_init2(inner, N);
}
qadic_data(const qadic_data& o)
: ctx(o.ctx)
{
qadic_init2(inner, qadic_prec(o.inner));
qadic_set(inner, o.inner, ctx._ctx());
}
~qadic_data() {qadic_clear(inner);}
qadic_data(qadicxx_srcref c)
: ctx(c.get_qctx())
{
qadic_init2(inner, c.prec());
qadic_set(inner, c._qadic(), ctx._ctx());
}
};
} // detail
#define QADICXX_COND_S FLINTXX_COND_S(qadicxx)
#define QADICXX_COND_T FLINTXX_COND_T(qadicxx)
namespace rules {
FLINT_DEFINE_DOIT_COND2(assignment, QADICXX_COND_T, QADICXX_COND_S,
qadic_set(to._qadic(), from._qadic(), to._ctx()))
FLINT_DEFINE_DOIT_COND2(assignment, QADICXX_COND_T, traits::is_unsigned_integer,
qadic_set_ui(to._qadic(), from, to._ctx()))
FLINT_DEFINE_DOIT_COND2(assignment, QADICXX_COND_T, PADICXX_COND_S,
padic_poly_set_padic(to._qadic(), from._padic(), from._ctx()))
FLINT_DEFINE_PRINT_PRETTY_COND(QADICXX_COND_S,
qadic_fprint_pretty(to, from._qadic(), from._ctx()))
template<class T>
struct conversion<padicxx, T,
typename mp::enable_if< QADICXX_COND_S<T> >::type>
{
static padicxx get(const T& from)
{
padicxx res(from.estimate_ctx().pctx(), from.prec());
execution_check(qadic_get_padic(res._padic(), from._qadic(), from._ctx()),
"get_padic", "qadic");
return res;
}
};
FLINTXX_DEFINE_SWAP(qadicxx, qadic_swap(e1._qadic(), e2._qadic()))
FLINTXX_DEFINE_EQUALS(qadicxx, qadic_equal(e1._qadic(), e2._qadic()))
FLINT_DEFINE_CBINARY_EXPR_COND2(plus, qadicxx, QADICXX_COND_S, QADICXX_COND_S,
qadic_add(to._qadic(), e1._qadic(), e2._qadic(), to._ctx()))
FLINT_DEFINE_BINARY_EXPR_COND2(minus, qadicxx, QADICXX_COND_S, QADICXX_COND_S,
qadic_sub(to._qadic(), e1._qadic(), e2._qadic(), to._ctx()))
FLINT_DEFINE_CBINARY_EXPR_COND2(times, qadicxx, QADICXX_COND_S, QADICXX_COND_S,
qadic_mul(to._qadic(), e1._qadic(), e2._qadic(), to._ctx()))
FLINT_DEFINE_UNARY_EXPR_COND(negate, qadicxx, QADICXX_COND_S,
qadic_neg(to._qadic(), from._qadic(), to._ctx()))
FLINT_DEFINE_UNARY_EXPR_COND(inv_op, qadicxx, QADICXX_COND_S,
qadic_inv(to._qadic(), from._qadic(), to._ctx()))
FLINT_DEFINE_BINARY_EXPR_COND2(pow_op, qadicxx, QADICXX_COND_S,
traits::is_fmpzxx,
qadic_pow(to._qadic(), e1._qadic(), e2._fmpz(), to._ctx()))
FLINT_DEFINE_UNARY_EXPR_COND(exp_op, qadicxx, QADICXX_COND_S,
execution_check(
qadic_exp(to._qadic(), from._qadic(), to._ctx()), "exp", "qadic"))
FLINT_DEFINE_UNARY_EXPR_COND(exp_balanced_op, qadicxx, QADICXX_COND_S,
execution_check(qadic_exp_balanced(
to._qadic(), from._qadic(), to._ctx()), "exp_balanced", "qadic"))
FLINT_DEFINE_UNARY_EXPR_COND(exp_rectangular_op, qadicxx, QADICXX_COND_S,
execution_check(qadic_exp_rectangular(
to._qadic(), from._qadic(), to._ctx()),
"exp_rectangular", "qadic"))
FLINT_DEFINE_UNARY_EXPR_COND(log_op, qadicxx, QADICXX_COND_S,
execution_check(
qadic_log(to._qadic(), from._qadic(), to._ctx()), "log", "qadic"))
FLINT_DEFINE_UNARY_EXPR_COND(log_rectangular_op, qadicxx, QADICXX_COND_S,
execution_check(qadic_log_rectangular(
to._qadic(), from._qadic(), to._ctx()),
"log_rectangular", "qadic"))
FLINT_DEFINE_UNARY_EXPR_COND(log_balanced_op, qadicxx, QADICXX_COND_S,
execution_check(qadic_log_balanced(
to._qadic(), from._qadic(), to._ctx()), "log_balanced", "qadic"))
FLINT_DEFINE_UNARY_EXPR_COND(teichmuller_op, qadicxx, QADICXX_COND_S,
qadic_teichmuller(to._qadic(), from._qadic(), to._ctx()))
FLINT_DEFINE_BINARY_EXPR_COND2(frobenius_op, qadicxx, QADICXX_COND_S,
traits::fits_into_slong,
qadic_frobenius(to._qadic(), e1._qadic(), e2, to._ctx()))
FLINT_DEFINE_UNARY_EXPR_COND(trace_op, padicxx, QADICXX_COND_S,
qadic_trace(to._padic(), from._qadic(), from._ctx()))
FLINT_DEFINE_UNARY_EXPR_COND(norm_op, padicxx, QADICXX_COND_S,
qadic_norm(to._padic(), from._qadic(), from._ctx()))
FLINT_DEFINE_UNARY_EXPR_COND(norm_analytic_op, padicxx, QADICXX_COND_S,
qadic_norm_analytic(to._padic(), from._qadic(), from._ctx()))
FLINT_DEFINE_UNARY_EXPR_COND(norm_resultant_op, padicxx, QADICXX_COND_S,
qadic_norm_resultant(to._padic(), from._qadic(), from._ctx()))
} // rules
} // flint
#endif
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