curve.hpp
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/*
CLAW - a C++ Library Absolutely Wonderful
CLAW is a free library without any particular aim but being useful to
anyone.
Copyright (C) 2005-2011 Julien Jorge
This library is free software; 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 2.1 of the License, or (at your option) any later version.
This library 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
contact: julien.jorge@gamned.org
*/
#ifndef __CLAW_MATH_CURVE_HPP__
#define __CLAW_MATH_CURVE_HPP__
#include <claw/coordinate_traits.hpp>
#include <list>
#include <vector>
namespace claw
{
namespace math
{
template< typename C, typename Traits = coordinate_traits<C> >
class curve
{
public:
typedef C coordinate_type;
typedef Traits traits_type;
typedef typename traits_type::value_type value_type;
class control_point
{
public:
typedef C coordinate_type;
public:
control_point();
explicit control_point( const coordinate_type& p );
control_point
( const coordinate_type& p, const coordinate_type& input_direction,
const coordinate_type& output_direction );
const coordinate_type& get_position() const;
const coordinate_type& get_input_direction() const;
const coordinate_type& get_output_direction() const;
private:
coordinate_type m_position;
coordinate_type m_input_direction;
coordinate_type m_output_direction;
}; // class control_point
private:
typedef std::list<control_point> control_point_list;
public:
typedef typename control_point_list::iterator iterator;
typedef typename control_point_list::const_iterator const_iterator;
class section
{
public:
typedef C coordinate_type;
typedef Traits traits_type;
typedef typename traits_type::value_type value_type;
typedef const_iterator iterator_type;
class resolved_point
{
public:
typedef C coordinate_type;
public:
resolved_point
( const coordinate_type& position, const section& s, const double t );
const coordinate_type& get_position() const;
const section& get_section() const;
double get_date() const;
private:
coordinate_type m_position;
section m_section;
double m_date;
}; // class resolved_point
public:
section( const iterator_type& origin, const iterator_type& end );
coordinate_type get_point_at( double t ) const;
coordinate_type get_tangent_at( double t ) const;
std::vector<resolved_point>
get_point_at_x( value_type x, bool off_domain = false ) const;
const iterator_type& get_origin() const;
bool empty() const;
private:
value_type evaluate
( double t, value_type origin, value_type output_direction,
value_type input_direction, value_type end ) const;
value_type evaluate_derived
( double t, value_type origin, value_type output_direction,
value_type input_direction, value_type end ) const;
void ensure_ends_in_points
( std::vector<resolved_point>& p, bool ensure_origin,
bool ensure_end ) const;
std::vector<resolved_point>
extract_domain_points( const std::vector<resolved_point>& p ) const;
std::vector<double> get_roots
( value_type x, value_type origin, value_type output_direction,
value_type input_direction, value_type end ) const;
std::vector<double> get_roots_degree_2
( value_type a, value_type b, value_type c ) const;
std::vector<double> get_roots_degree_3
( value_type a, value_type b, value_type c, value_type d ) const;
private:
iterator_type m_origin;
iterator_type m_end;
}; // class section
public:
void push_back( const control_point& p );
void push_front( const control_point& p );
void insert( const iterator& pos, const control_point& p );
section get_section( const const_iterator& pos ) const;
std::vector<typename section::resolved_point>
get_point_at_x( value_type x, bool off_domain = false ) const;
iterator begin();
iterator end();
const_iterator begin() const;
const_iterator end() const;
private:
std::vector<typename section::resolved_point>
get_point_at_x_before_origin( value_type x ) const;
std::vector<typename section::resolved_point>
get_point_at_x_after_end( value_type x ) const;
private:
control_point_list m_points;
}; // class curve
} // namespace math
} // namespace claw
#include "claw/impl/curve.tpp"
#endif // __CLAW_MATH_CURVE_HPP__
claw::math::curve::control_point
The control_point class describes a control point of the curve, with the direction of the curve befor...
Definition curve.hpp:68
claw::math::curve::control_point::coordinate_type
C coordinate_type
The type of the coordinates of the curve.
Definition curve.hpp:71
claw::math::curve::section::resolved_point::coordinate_type
C coordinate_type
The type of the coordinates of the curve.
Definition curve.hpp:138
claw::math::curve::section
A section is a part of the curve between two control points.
Definition curve.hpp:115
claw::math::curve::section::iterator_type
const_iterator iterator_type
The type of the iterators on the ends of the section.
Definition curve.hpp:128
claw::math::curve::section::coordinate_type
C coordinate_type
The type of the coordinates of the curve.
Definition curve.hpp:118
claw::math::curve::section::traits_type
Traits traits_type
The traits provide an access to the properties of the coordinates.
Definition curve.hpp:122
claw::math::curve::section::value_type
traits_type::value_type value_type
The type of the components of the coordinates.
Definition curve.hpp:125
claw::math::curve
Implementation of the Bézier curve.
Definition curve.hpp:50
claw::math::curve::iterator
control_point_list::iterator iterator
The type of the iterator on the control points of the curve.
Definition curve.hpp:105
claw::math::curve::value_type
traits_type::value_type value_type
The type of the components of the coordinates.
Definition curve.hpp:60
claw::math::curve::traits_type
Traits traits_type
The traits provide an access to the properties of the coordinates.
Definition curve.hpp:57
claw::math::curve::coordinate_type
C coordinate_type
The type of the coordinates of the curve.
Definition curve.hpp:53
claw::math::curve::const_iterator
control_point_list::const_iterator const_iterator
The type of the iterator on the control points of the curve.
Definition curve.hpp:108
coordinate_traits.hpp
The coordinate traits provide an access to the members of the structures representing a coordinate in...
claw::math
Manipulation of mathematic, geometric, etc. items.
Definition box_2d.hpp:38
claw
This is the main namespace.
Definition algorithm.hpp:34