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// Copyright (c) 2006-2009 Max-Planck-Institute Saarbruecken (Germany).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; either version 3 of the License,
// or (at your option) any later version.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/next/Algebraic_kernel_d/include/CGAL/Algebraic_kernel_d/Bitstream_coefficient_kernel_at_alpha.h $
// $Id: Bitstream_coefficient_kernel_at_alpha.h 67093 2012-01-13 11:22:39Z lrineau $
//
//
// Author(s) : Michael Kerber <mkerber@mpi-inf.mpg.de>
//
// ============================================================================
#ifndef CGAL_BITSTREAM_COEFFICIENT_KERNEL_AT_ALPHA_H
#define CGAL_BITSTREAM_COEFFICIENT_KERNEL_AT_ALPHA_H 1
namespace CGAL {
#include <CGAL/basic.h>
#include <CGAL/Arithmetic_kernel.h>
#include <CGAL/convert_to_bfi.h>
namespace internal {
template < typename AlgebraicKernel_1 >
class Bitstream_coefficient_kernel_at_alpha;
template < typename AlgebraicKernel_1 >
class Bitstream_coefficient_kernel_at_alpha_rep {
public:
typedef AlgebraicKernel_1 Algebraic_kernel_d_1;
typedef typename Algebraic_kernel_d_1::Polynomial_1 Polynomial_1;
typedef typename Algebraic_kernel_d_1::Algebraic_real_1 Algebraic_real_1;
Bitstream_coefficient_kernel_at_alpha_rep() {}
Bitstream_coefficient_kernel_at_alpha_rep(Algebraic_kernel_d_1* kernel,
Algebraic_real_1 alpha)
: _m_kernel(kernel), _m_alpha(alpha) {}
friend class Bitstream_coefficient_kernel_at_alpha
<Algebraic_kernel_d_1>;
private:
Algebraic_kernel_d_1* _m_kernel;
Algebraic_real_1 _m_alpha;
};
template < typename AlgebraicKernel_1 >
class Bitstream_coefficient_kernel_at_alpha
: public CGAL::Handle_with_policy
< CGAL::internal::Bitstream_coefficient_kernel_at_alpha_rep
<AlgebraicKernel_1 >
>
{
public:
//! \name typedefs
//! @{
typedef AlgebraicKernel_1 Algebraic_kernel_d_1;
typedef typename Algebraic_kernel_d_1::Algebraic_real_1 Algebraic_real_1;
typedef typename Algebraic_kernel_d_1::Polynomial_1 Polynomial_1;
typedef Polynomial_1 Coefficient;
typedef typename
CGAL::Get_arithmetic_kernel<typename Coefficient::NT>::Arithmetic_kernel
Arithmetic_kernel;
typedef typename Arithmetic_kernel::Integer Integer;
typedef typename Algebraic_kernel_d_1::Bound Bound;
typedef typename Arithmetic_kernel::Bigfloat_interval Bigfloat_interval;
typedef CGAL::internal::Bitstream_coefficient_kernel_at_alpha_rep
<Algebraic_kernel_d_1> Rep;
typedef CGAL::Handle_with_policy<Rep> Base;
typedef Bitstream_coefficient_kernel_at_alpha<Algebraic_kernel_d_1> Self;
//! @}
public:
//! \name Constructors
// !@{
Bitstream_coefficient_kernel_at_alpha() : Base(Rep()) {}
Bitstream_coefficient_kernel_at_alpha(const Self& traits)
: Base(static_cast<const Base&>(traits)) {}
Bitstream_coefficient_kernel_at_alpha(Algebraic_kernel_d_1* kernel,
Algebraic_real_1 alpha)
: Base(kernel,alpha) {}
//@}
//! \name Functors
//! @{
struct Is_zero : public std::unary_function<Coefficient,bool> {
Is_zero(Algebraic_kernel_d_1* kernel,Algebraic_real_1 alpha)
: _m_kernel(kernel),_m_alpha(alpha) {}
bool operator() (Coefficient f) const {
return _m_kernel->is_zero_at_1_object() (f,_m_alpha);
}
private:
Algebraic_kernel_d_1* _m_kernel;
Algebraic_real_1 _m_alpha;
};
Is_zero is_zero_object() const {
return Is_zero(this->ptr()->_m_kernel,this->ptr()->_m_alpha);
}
struct Convert_to_bfi
: public std::unary_function<Coefficient,Bigfloat_interval> {
Convert_to_bfi(Algebraic_kernel_d_1* kernel,
Algebraic_real_1 alpha)
: _m_kernel(kernel), _m_alpha(alpha) {}
Bigfloat_interval operator() (Coefficient f) const {
typename CGAL::Polynomial_traits_d<Coefficient>
::template Rebind<Bigfloat_interval,1>::Other::Type f_bfi;
typename Algebraic_kernel_d_1::Approximate_relative_1 approx_alpha
=_m_kernel->approximate_relative_1_object();
typedef typename Algebraic_kernel_d_1::Bound Bound;
Bigfloat_interval alpha_bfi, f_alpha_bfi;
long p = CGAL::get_precision(Bigfloat_interval());
long prec = 16;
long wbit = 0;
while(true) {
CGAL::set_precision(Bigfloat_interval(),prec);
f_bfi = this->_convert_polynomial_to_bfi(f);
std::pair<Bound,Bound> alpha_bounds
= approx_alpha(_m_alpha,prec);
alpha_bfi = CGAL::hull
(CGAL::convert_to_bfi(alpha_bounds.first),
CGAL::convert_to_bfi(alpha_bounds.second));
f_alpha_bfi = f_bfi.evaluate(alpha_bfi);
if(!CGAL::singleton(f_alpha_bfi)) {
long ceil = CGAL::internal::ceil_log2_abs(f_alpha_bfi);
long signi = CGAL::get_significant_bits(f_alpha_bfi);
wbit = ceil - signi + p;
}
if(wbit<-5 || CGAL::singleton(f_alpha_bfi)) {
break;
} else {
prec*=2;
}
}
CGAL::set_precision(Bigfloat_interval(),p);
return f_alpha_bfi;
}
private:
typename CGAL::Polynomial_traits_d<Coefficient>
::template Rebind<Bigfloat_interval,1>::Other::Type
_convert_polynomial_to_bfi(Coefficient f) const {
typename
CGAL::Polynomial_traits_d<Coefficient>::Get_coefficient coeff;
std::vector<Bigfloat_interval> coeffs(CGAL::degree(f)+1);
const int d = CGAL::degree(f);
for(int i = 0; i <= d; i++) {
coeffs[i] = CGAL::convert_to_bfi(coeff(f,i));
}
return typename CGAL::Polynomial_traits_d<Coefficient>
::template Rebind<Bigfloat_interval,1>::Other
::Construct_polynomial()(coeffs.begin(),coeffs.end());
}
Algebraic_kernel_d_1* _m_kernel;
Algebraic_real_1 _m_alpha;
};
Convert_to_bfi convert_to_bfi_object() const {
return Convert_to_bfi(this->ptr()->_m_kernel,this->ptr()->_m_alpha);
}
// @}
};
} // namespace internal
} //namespace CGAL
#endif // CGAL_BITSTREAM_COEFFICIENT_KERNEL_AT_ALPHA_H
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