mirror of
https://github.com/bolero-MURAKAMI/Sprout.git
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222 lines
7.2 KiB
C++
222 lines
7.2 KiB
C++
/*=============================================================================
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Copyright (c) 2011-2016 Bolero MURAKAMI
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https://github.com/bolero-MURAKAMI/Sprout
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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=============================================================================*/
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#ifndef SPROUT_DARKROOM_OBJECTS_SPHERE_HPP
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#define SPROUT_DARKROOM_OBJECTS_SPHERE_HPP
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#include <type_traits>
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#include <sprout/config.hpp>
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#include <sprout/workaround/std/cstddef.hpp>
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#include <sprout/tuple/tuple.hpp>
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#include <sprout/tuple/functions.hpp>
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#include <sprout/math/constants.hpp>
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#include <sprout/math/atan2.hpp>
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#include <sprout/math/sqrt.hpp>
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#include <sprout/darkroom/access/access.hpp>
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#include <sprout/darkroom/coords/vector.hpp>
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#include <sprout/darkroom/rays/ray.hpp>
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#include <sprout/darkroom/materials/material.hpp>
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namespace sprout {
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namespace darkroom {
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namespace objects {
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//
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// basic_sphere
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//
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template<typename Material, typename Position = sprout::darkroom::coords::vector3d_t>
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class basic_sphere {
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public:
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typedef Material material_type;
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typedef Position position_type;
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typedef typename sprout::darkroom::access::unit<position_type>::type unit_type;
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typedef unit_type radius_type;
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public:
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template<typename Ray>
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struct intersection {
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typedef sprout::tuples::tuple<
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bool,
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unit_type,
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position_type,
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position_type,
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decltype(sprout::darkroom::materials::calculate_material(
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std::declval<material_type const&>(),
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std::declval<unit_type const&>(),
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std::declval<unit_type const&>()
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)),
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bool
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> type;
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};
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private:
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typedef sprout::tuples::tuple<int, bool, unit_type> zwo_type;
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typedef sprout::tuples::tuple<position_type, position_type> drei_type;
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struct zw {
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SPROUT_STATIC_CONSTEXPR std::size_t hit_side = 0;
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SPROUT_STATIC_CONSTEXPR std::size_t does_intersect = 1;
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SPROUT_STATIC_CONSTEXPR std::size_t distance = 2;
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};
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struct dr {
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SPROUT_STATIC_CONSTEXPR std::size_t point_of_intersection = 0;
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SPROUT_STATIC_CONSTEXPR std::size_t normal = 1;
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};
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private:
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position_type pos_;
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radius_type rad_;
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material_type mat_;
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private:
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SPROUT_STATIC_CONSTEXPR zwo_type
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zweitens_1(unit_type const& i1, unit_type const& i2) {
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return zwo_type(
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i2 > 0
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? i1 < 0 ? -1 : 1
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: 0
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,
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i2 > 0,
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i2 > 0
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? i1 < 0 ? i2 : i1
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: -1
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);
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}
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SPROUT_STATIC_CONSTEXPR zwo_type
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zweitens(bool neg, unit_type const& b, unit_type const& det) {
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return neg
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? zweitens_1(b - det, b + det)
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: zwo_type(0, false, -1)
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;
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}
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template<typename Ray>
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SPROUT_CONSTEXPR drei_type
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drittens_1(typename sprout::darkroom::access::unit<Ray>::type point_of_intersection) const {
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return drei_type(
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point_of_intersection,
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sprout::darkroom::coords::normalize(
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sprout::darkroom::coords::sub(point_of_intersection, pos_)
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)
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);
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}
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template<typename Ray>
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SPROUT_CONSTEXPR drei_type
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drittens(Ray const& ray, bool neg, unit_type const& distance) const {
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return neg
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? drittens_1<Ray>(sprout::darkroom::rays::point_of_intersection(ray, distance))
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: drei_type(
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sprout::tuples::make<position_type>(0, 0, 0),
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sprout::tuples::make<position_type>(1, 1, 1)
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)
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;
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}
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template<typename Ray, typename Vec>
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SPROUT_CONSTEXPR typename intersection<Ray>::type
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intersect_6(zwo_type const& zwo, drei_type const& drei,bool is_from_inside, Vec const& normal) const {
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return typename intersection<Ray>::type(
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sprout::tuples::get<zw::does_intersect>(zwo),
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sprout::tuples::get<zw::distance>(zwo),
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sprout::tuples::get<dr::point_of_intersection>(drei),
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is_from_inside
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? sprout::darkroom::coords::negate(normal)
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: normal
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,
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sprout::darkroom::materials::calculate_material( // ! Spherical
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mat_,
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sprout::atan2(
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sprout::darkroom::coords::z(normal),
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sprout::darkroom::coords::x(normal)
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)
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/ sprout::math::pi<unit_type>()
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,
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sprout::atan2(
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sprout::darkroom::coords::y(normal),
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sprout::sqrt(
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sprout::darkroom::coords::x(normal) * sprout::darkroom::coords::x(normal)
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+ sprout::darkroom::coords::z(normal) * sprout::darkroom::coords::z(normal)
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)
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)
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/ sprout::math::half_pi<unit_type>()
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),
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is_from_inside
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);
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}
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template<typename Ray>
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SPROUT_CONSTEXPR typename intersection<Ray>::type
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intersect_5(Ray const& ray, zwo_type const& zwo, drei_type const& drei) const {
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return intersect_6<Ray>(
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zwo,
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drei,
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sprout::darkroom::coords::dot(sprout::tuples::get<dr::normal>(drei), sprout::darkroom::rays::direction(ray)) > 0,
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sprout::tuples::get<dr::normal>(drei)
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);
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}
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template<typename Ray>
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SPROUT_CONSTEXPR typename intersection<Ray>::type
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intersect_4(Ray const& ray, zwo_type const& zwo) const {
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return intersect_5(
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ray,
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zwo,
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drittens(
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ray,
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sprout::tuples::get<zw::does_intersect>(zwo),
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sprout::tuples::get<zw::distance>(zwo)
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)
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);
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}
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template<typename Ray>
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SPROUT_CONSTEXPR typename intersection<Ray>::type
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intersect_3(Ray const& ray, unit_type const& b, unit_type const& det_sq) const {
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return intersect_4(
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ray,
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zweitens(
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det_sq > 0,
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b,
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det_sq > 0 ? sprout::sqrt(det_sq) : unit_type(0)
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)
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);
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}
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template<typename Ray>
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SPROUT_CONSTEXPR typename intersection<Ray>::type
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intersect_2(Ray const& ray, position_type const& v, unit_type const& b) const {
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return intersect_3(
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ray,
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b,
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b * b - sprout::darkroom::coords::length_sq(v) + rad_ * rad_
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);
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}
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template<typename Ray>
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SPROUT_CONSTEXPR typename intersection<Ray>::type
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intersect_1(Ray const& ray, position_type const& v) const {
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return intersect_2(
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ray,
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v,
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-sprout::darkroom::coords::dot(v, sprout::darkroom::rays::direction(ray))
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);
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}
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public:
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SPROUT_CONSTEXPR basic_sphere(position_type const& pos, radius_type rad, material_type const& mat)
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: pos_(pos)
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, rad_(rad)
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, mat_(mat)
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{}
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template<typename Ray>
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SPROUT_CONSTEXPR typename intersection<Ray>::type
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intersect(Ray const& ray) const {
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return intersect_1(
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ray,
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sprout::darkroom::coords::sub(sprout::darkroom::rays::position(ray), pos_)
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);
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}
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};
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//
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// make_sphere
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//
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template<typename Material, typename Position, typename Radius>
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inline SPROUT_CONSTEXPR sprout::darkroom::objects::basic_sphere<Material, Position>
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make_sphere(Position const& pos, Radius const& rad, Material const& mat) {
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return sprout::darkroom::objects::basic_sphere<Material, Position>(pos, rad, mat);
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}
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} // namespace objects
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} // namespace darkroom
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} // namespace sprout
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#endif // #ifndef SPROUT_DARKROOM_OBJECTS_SPHERE_HPP
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