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bolero-MURAKAMI 2015-01-11 23:46:33 +09:00
parent 1c758320b6
commit 9bf7c26b25
2 changed files with 25 additions and 25 deletions
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sprout/math/curve/catmull_rom_spline.hpp Normal file
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/*=============================================================================
Copyright (c) 2011-2015 Bolero MURAKAMI
https://github.com/bolero-MURAKAMI/Sprout
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
=============================================================================*/
#ifndef SPROUT_MATH_CURVE_CATMULL_ROM_SPLINE_HPP
#define SPROUT_MATH_CURVE_CATMULL_ROM_SPLINE_HPP
#include <sprout/config.hpp>
#include <sprout/detail/pow.hpp>
#include <sprout/tuple/tuple/get.hpp>
#include <sprout/tuple/tuple/make_tuple.hpp>
#include <sprout/math/curve/curve_point.hpp>
namespace sprout {
namespace math {
namespace detail {
template<typename Points, typename T>
class catmull_rom_spline_impl {
public:
static SPROUT_CONSTEXPR typename sprout::math::curve_point_result<Points>::type
call(Points const& p, T const& t) {
using sprout::tuples::nested_get;
using sprout::detail::pow2;
using sprout::detail::pow3;
return sprout::math::curve_point_traits<Points>::make(
(-nested_get<0, 0>(p) + 3 * nested_get<1, 0>(p) - 3 * nested_get<2, 0>(p) + nested_get<3, 0>(p)) / 2 * pow3(t)
+ (2 * nested_get<0, 0>(p) - 5 * nested_get<1, 0>(p) + 4 * nested_get<2, 0>(p) - nested_get<3, 0>(p)) / 2 * pow2(t)
+ (-nested_get<0, 0>(p) + nested_get<2, 0>(p)) / 2 * t
+ nested_get<1, 0>(p)
,
(-nested_get<0, 1>(p) + 3 * nested_get<1, 1>(p) - 3 * nested_get<2, 1>(p) + nested_get<3, 1>(p)) / 2 * pow3(t)
+ (2 * nested_get<0, 1>(p) - 5 * nested_get<1, 1>(p) + 4 * nested_get<2, 1>(p) - nested_get<3, 1>(p)) / 2 * pow2(t)
+ (-nested_get<0, 1>(p) + nested_get<2, 1>(p)) / 2 * t
+ nested_get<1, 1>(p)
);
}
};
template<typename Points, typename T>
class catmull_rom_spline_start_impl {
public:
static SPROUT_CONSTEXPR typename sprout::math::curve_point_result<Points>::type
call(Points const& p, T const& t) {
using sprout::tuples::nested_get;
using sprout::detail::pow2;
return sprout::math::curve_point_traits<Points>::make(
(nested_get<0, 0>(p) - 2 * nested_get<1, 0>(p) + nested_get<2, 0>(p)) / 2 * pow2(t)
+ (-3 * nested_get<0, 0>(p) + 4 * nested_get<1, 0>(p) - nested_get<2, 0>(p)) / 2 * t
+ nested_get<0, 0>(p)
,
(nested_get<0, 1>(p) - 2 * nested_get<1, 1>(p) + nested_get<2, 1>(p)) / 2 * pow2(t)
+ (-3 * nested_get<0, 1>(p) + 4 * nested_get<1, 1>(p) - nested_get<2, 1>(p)) / 2 * t
+ nested_get<0, 1>(p)
);
}
};
template<typename Points, typename T>
class catmull_rom_spline_end_impl {
public:
static SPROUT_CONSTEXPR typename sprout::math::curve_point_result<Points>::type
call(Points const& p, T const& t) {
using sprout::tuples::nested_get;
using sprout::detail::pow2;
return sprout::math::curve_point_traits<Points>::make(
(nested_get<0, 0>(p) - 2 * nested_get<1, 0>(p) + nested_get<2, 0>(p)) / 2 * pow2(t)
+ (-nested_get<0, 0>(p) + nested_get<2, 0>(p)) / 2 * t
+ nested_get<1, 0>(p)
,
(nested_get<0, 1>(p) - 2 * nested_get<1, 1>(p) + nested_get<2, 1>(p)) / 2 * pow2(t)
+ (-nested_get<0, 1>(p) + nested_get<2, 1>(p)) / 2 * t
+ nested_get<1, 1>(p)
);
}
};
} // namespace detail
//
// catmull_rom_spline
// catmull_rom_spline_start
// catmull_rom_spline_end
//
template<typename Points, typename T>
inline SPROUT_CONSTEXPR typename sprout::math::curve_point_result<Points>::type
catmull_rom_spline(T const& t, Points const& p) {
return sprout::math::detail::catmull_rom_spline_impl<Points, T>::call(p, t);
}
template<typename Points, typename T>
inline SPROUT_CONSTEXPR typename sprout::math::curve_point_result<Points>::type
catmull_rom_spline_start(T const& t, Points const& p) {
return sprout::math::detail::catmull_rom_spline_start_impl<Points, T>::call(p, t);
}
template<typename Points, typename T>
inline SPROUT_CONSTEXPR typename sprout::math::curve_point_result<Points>::type
catmull_rom_spline_end(T const& t, Points const& p) {
return sprout::math::detail::catmull_rom_spline_end_impl<Points, T>::call(p, t);
}
template<typename P0, typename P1, typename P2, typename P3, typename T>
inline SPROUT_CONSTEXPR typename sprout::math::curve_point_result<sprout::tuples::tuple<P0 const&, P1 const&, P2 const&, P3 const&> >::type
catmull_rom_spline(T const& t, P0 const& p0, P1 const& p1, P2 const& p2, P3 const& p3) {
return sprout::math::catmull_rom_spline(t, sprout::tuples::forward_as_tuple(p0, p1, p2, p3));
}
template<typename P0, typename P1, typename P2, typename T>
inline SPROUT_CONSTEXPR typename sprout::math::curve_point_result<sprout::tuples::tuple<P0 const&, P1 const&, P2 const&> >::type
catmull_rom_spline_start(T const& t, P0 const& p0, P1 const& p1, P2 const& p2) {
return sprout::math::catmull_rom_spline_start(t, sprout::tuples::forward_as_tuple(p0, p1, p2));
}
template<typename P0, typename P1, typename P2, typename T>
inline SPROUT_CONSTEXPR typename sprout::math::curve_point_result<sprout::tuples::tuple<P0 const&, P1 const&, P2 const&> >::type
catmull_rom_spline_end(T const& t, P0 const& p0, P1 const& p1, P2 const& p2) {
return sprout::math::catmull_rom_spline_end(t, sprout::tuples::forward_as_tuple(p0, p1, p2));
}
} // namespace math
using sprout::math::catmull_rom_spline;
using sprout::math::catmull_rom_spline_start;
using sprout::math::catmull_rom_spline_end;
} // namespace sprout
#endif // #ifndef SPROUT_MATH_CURVE_CATMULL_ROM_SPLINE_HPP