Sprout/sprout/darkroom/objects/sphere.hpp
bolero-MURAKAMI cb1077d247 add copyright
2013-08-08 18:54:33 +09:00

231 lines
7.4 KiB
C++

/*=============================================================================
Copyright (c) 2011-2013 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_DARKROOM_OBJECTS_SPHERE_HPP
#define SPROUT_DARKROOM_OBJECTS_SPHERE_HPP
#include <cstddef>
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/tuple/tuple.hpp>
#include <sprout/tuple/functions.hpp>
#include <sprout/math/constants.hpp>
#include <sprout/math/atan2.hpp>
#include <sprout/math/sqrt.hpp>
#include <sprout/darkroom/access/access.hpp>
#include <sprout/darkroom/coords/vector.hpp>
#include <sprout/darkroom/rays/ray.hpp>
#include <sprout/darkroom/materials/material.hpp>
namespace sprout {
namespace darkroom {
namespace objects {
//
// basic_sphere
//
template<typename Material, typename Position = sprout::darkroom::coords::vector3d_t>
class basic_sphere {
public:
typedef Material material_type;
typedef Position position_type;
typedef typename sprout::darkroom::access::unit<position_type>::type unit_type;
typedef unit_type radius_type;
public:
template<typename Ray>
struct intersection {
typedef sprout::tuples::tuple<
bool,
unit_type,
position_type,
position_type,
decltype(sprout::darkroom::materials::calc_material(
std::declval<material_type const&>(),
std::declval<unit_type const&>(),
std::declval<unit_type const&>()
))
> type;
};
private:
typedef sprout::tuples::tuple<int, bool, unit_type> zwo_type;
typedef sprout::tuples::tuple<position_type, position_type> drei_type;
struct zw {
SPROUT_STATIC_CONSTEXPR std::size_t hit_side = 0;
SPROUT_STATIC_CONSTEXPR std::size_t does_intersect = 1;
SPROUT_STATIC_CONSTEXPR std::size_t distance = 2;
};
struct dr {
SPROUT_STATIC_CONSTEXPR std::size_t point_of_intersection = 0;
SPROUT_STATIC_CONSTEXPR std::size_t normal = 1;
};
private:
position_type pos_;
radius_type rad_;
material_type mat_;
private:
template<typename Ray>
SPROUT_CONSTEXPR zwo_type
zweitens_2(Ray const&, unit_type const& i1, unit_type const& i2, int hit_side, bool does_intersect) const {
return zwo_type(
hit_side,
does_intersect,
hit_side < 0 ? i2
: hit_side > 0 ? i1
: -1
);
}
template<typename Ray>
SPROUT_CONSTEXPR zwo_type
zweitens_1(Ray const& ray, unit_type const& i1, unit_type const& i2) const {
return zweitens_2(
ray,
i1,
i2,
i2 > 0
? i1 < 0 ? -1 : 1
: 0
,
i2 > 0
);
}
template<typename Ray>
SPROUT_CONSTEXPR zwo_type
zweitens(Ray const& ray, bool neg, unit_type const& b, unit_type const& det) const {
return neg
? zweitens_1(ray, b - det, b + det)
: zwo_type(0, false, -1)
;
}
template<typename Ray>
SPROUT_CONSTEXPR drei_type
drittens_1(Ray const&, typename sprout::darkroom::access::unit<Ray>::type point_of_intersection) const {
return drei_type(
point_of_intersection,
sprout::darkroom::coords::normalize(
sprout::darkroom::coords::sub(point_of_intersection, pos_)
)
);
}
template<typename Ray>
SPROUT_CONSTEXPR drei_type
drittens(Ray const& ray, bool neg, unit_type const& distance) const {
return neg
? drittens_1(ray, sprout::darkroom::rays::point_of_intersection(ray, distance))
: drei_type(
sprout::tuples::make<position_type>(0, 0, 0),
sprout::tuples::make<position_type>(1, 1, 1)
)
;
}
template<typename Ray, typename Vec>
SPROUT_CONSTEXPR typename intersection<Ray>::type
intersect_6(Ray const&, zwo_type const& zwo, drei_type const& drei, Vec const& normal) const {
return typename intersection<Ray>::type(
sprout::tuples::get<zw::does_intersect>(zwo),
sprout::tuples::get<zw::distance>(zwo),
sprout::tuples::get<dr::point_of_intersection>(drei),
sprout::tuples::get<dr::normal>(drei),
sprout::darkroom::materials::calc_material( // ! Spherical
mat_,
sprout::atan2(
sprout::darkroom::coords::z(normal),
sprout::darkroom::coords::x(normal)
)
/ sprout::math::pi<unit_type>()
,
sprout::atan2(
sprout::darkroom::coords::y(normal),
sprout::sqrt(
sprout::darkroom::coords::x(normal) * sprout::darkroom::coords::x(normal)
+ sprout::darkroom::coords::z(normal) * sprout::darkroom::coords::z(normal)
)
)
/ sprout::math::half_pi<unit_type>()
)
);
}
template<typename Ray>
SPROUT_CONSTEXPR typename intersection<Ray>::type
intersect_5(Ray const& ray, zwo_type const& zwo, drei_type const& drei) const {
return intersect_6(
ray,
zwo,
drei,
sprout::tuples::get<dr::normal>(drei)
);
}
template<typename Ray>
SPROUT_CONSTEXPR typename intersection<Ray>::type
intersect_4(Ray const& ray, zwo_type const& zwo) const {
return intersect_5(
ray,
zwo,
drittens(
ray,
sprout::tuples::get<zw::does_intersect>(zwo),
sprout::tuples::get<zw::distance>(zwo)
)
);
}
template<typename Ray>
SPROUT_CONSTEXPR typename intersection<Ray>::type
intersect_3(Ray const& ray, unit_type const& b, unit_type const& det_sq) const {
return intersect_4(
ray,
zweitens(
ray,
det_sq > 0,
b,
det_sq > 0 ? sprout::sqrt(det_sq) : unit_type(0)
)
);
}
template<typename Ray>
SPROUT_CONSTEXPR typename intersection<Ray>::type
intersect_2(Ray const& ray, position_type const& v, unit_type const& b) const {
return intersect_3(
ray,
b,
b * b - sprout::darkroom::coords::length_sq(v) + rad_ * rad_
);
}
template<typename Ray>
SPROUT_CONSTEXPR typename intersection<Ray>::type
intersect_1(Ray const& ray, position_type const& v) const {
return intersect_2(
ray,
v,
-sprout::darkroom::coords::dot(v, sprout::darkroom::rays::direction(ray))
);
}
public:
SPROUT_CONSTEXPR basic_sphere(position_type const& pos, radius_type rad, material_type const& mat)
: pos_(pos)
, rad_(rad)
, mat_(mat)
{}
template<typename Ray>
SPROUT_CONSTEXPR typename intersection<Ray>::type
intersect(Ray const& ray) const {
return intersect_1(
ray,
sprout::darkroom::coords::sub(sprout::darkroom::rays::position(ray), pos_)
);
}
};
//
// make_sphere
//
template<typename Material, typename Position, typename Radius>
inline SPROUT_CONSTEXPR sprout::darkroom::objects::basic_sphere<Material, Position>
make_sphere(Position const& pos, Radius const& rad, Material const& mat) {
return sprout::darkroom::objects::basic_sphere<Material, Position>(pos, rad, mat);
}
} // namespace objects
} // namespace darkroom
} // namespace sprout
#endif // #ifndef SPROUT_DARKROOM_OBJECTS_SPHERE_HPP