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Sprout/sprout/darkroom/coords/vector.hpp
bolero-MURAKAMI 3029507c05 change copyright
2015-01-10 19:13:57 +09:00

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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_DARKROOM_COORDS_VECTOR_HPP
#define SPROUT_DARKROOM_COORDS_VECTOR_HPP
#include <sprout/config.hpp>
#include <sprout/tuple/tuple.hpp>
#include <sprout/tuple/functions.hpp>
#include <sprout/utility/forward.hpp>
#include <sprout/math/sqrt.hpp>
#include <sprout/darkroom/access/access.hpp>
namespace sprout {
namespace darkroom {
namespace coords {
//
// x
// y
// z
//
template<typename T>
inline SPROUT_CONSTEXPR auto
x(T&& t)
SPROUT_NOEXCEPT_IF_EXPR(sprout::darkroom::access::get<0>(SPROUT_FORWARD(T, t)))
-> decltype(sprout::darkroom::access::get<0>(SPROUT_FORWARD(T, t)))
{
return sprout::darkroom::access::get<0>(SPROUT_FORWARD(T, t));
}
template<typename T>
inline SPROUT_CONSTEXPR auto
y(T&& t)
SPROUT_NOEXCEPT_IF_EXPR(sprout::darkroom::access::get<1>(SPROUT_FORWARD(T, t)))
-> decltype(sprout::darkroom::access::get<1>(SPROUT_FORWARD(T, t)))
{
return sprout::darkroom::access::get<1>(SPROUT_FORWARD(T, t));
}
template<typename T>
inline SPROUT_CONSTEXPR auto
z(T&& t)
SPROUT_NOEXCEPT_IF_EXPR(sprout::darkroom::access::get<2>(SPROUT_FORWARD(T, t)))
-> decltype(sprout::darkroom::access::get<2>(SPROUT_FORWARD(T, t)))
{
return sprout::darkroom::access::get<2>(SPROUT_FORWARD(T, t));
}
//
// vector3d_t
// vector3d
//
typedef sprout::tuples::tuple<double, double, double> vector3d_t;
inline SPROUT_CONSTEXPR sprout::darkroom::coords::vector3d_t
vector3d(double x = 0, double y = 0, double z = 0) {
return sprout::darkroom::coords::vector3d_t(x, y, z);
}
//
// is_zero
//
template<typename Vector>
inline SPROUT_CONSTEXPR bool
is_zero(Vector const& vec) {
return sprout::darkroom::coords::x(vec) == 0
&& sprout::darkroom::coords::y(vec) == 0
&& sprout::darkroom::coords::z(vec) == 0
;
}
//
// length_sq
//
template<typename Vector>
inline SPROUT_CONSTEXPR typename sprout::darkroom::access::unit<Vector>::type
length_sq(Vector const& vec) {
return sprout::darkroom::coords::x(vec) * sprout::darkroom::coords::x(vec)
+ sprout::darkroom::coords::y(vec) * sprout::darkroom::coords::y(vec)
+ sprout::darkroom::coords::z(vec) * sprout::darkroom::coords::z(vec)
;
}
//
// length
//
template<typename Vector>
inline SPROUT_CONSTEXPR typename sprout::darkroom::access::unit<Vector>::type
length(Vector const& vec) {
return sprout::sqrt(sprout::darkroom::coords::length_sq(vec));
}
//
// add
//
template<typename Vector1, typename Vector2>
inline SPROUT_CONSTEXPR Vector1
add(Vector1 const& lhs, Vector2 const& rhs) {
return sprout::tuples::remake<Vector1>(
lhs,
sprout::darkroom::coords::x(lhs) + sprout::darkroom::coords::x(rhs),
sprout::darkroom::coords::y(lhs) + sprout::darkroom::coords::y(rhs),
sprout::darkroom::coords::z(lhs) + sprout::darkroom::coords::z(rhs)
);
}
//
// sub
//
template<typename Vector1, typename Vector2>
inline SPROUT_CONSTEXPR Vector1
sub(Vector1 const& lhs, Vector2 const& rhs) {
return sprout::tuples::remake<Vector1>(
lhs,
sprout::darkroom::coords::x(lhs) - sprout::darkroom::coords::x(rhs),
sprout::darkroom::coords::y(lhs) - sprout::darkroom::coords::y(rhs),
sprout::darkroom::coords::z(lhs) - sprout::darkroom::coords::z(rhs)
);
}
//
// scale
//
template<typename Vector, typename Fac>
inline SPROUT_CONSTEXPR Vector
scale(Vector const& lhs, Fac const& rhs) {
return sprout::tuples::remake<Vector>(
lhs,
sprout::darkroom::coords::x(lhs) * rhs,
sprout::darkroom::coords::y(lhs) * rhs,
sprout::darkroom::coords::z(lhs) * rhs
);
}
//
// negate
//
template<typename Vector>
inline SPROUT_CONSTEXPR Vector
negate(Vector const& vec) {
return sprout::tuples::remake<Vector>(
vec,
-sprout::darkroom::coords::x(vec),
-sprout::darkroom::coords::y(vec),
-sprout::darkroom::coords::z(vec)
);
}
//
// dot
//
template<typename Vector>
inline SPROUT_CONSTEXPR typename sprout::darkroom::access::unit<Vector>::type
dot(Vector const& lhs, Vector const& rhs) {
return sprout::darkroom::coords::x(lhs) * sprout::darkroom::coords::x(rhs)
+ sprout::darkroom::coords::y(lhs) * sprout::darkroom::coords::y(rhs)
+ sprout::darkroom::coords::z(lhs) * sprout::darkroom::coords::z(rhs)
;
}
//
// cross
//
template<typename Vector1, typename Vector2>
inline SPROUT_CONSTEXPR Vector1
cross(Vector1 const& lhs, Vector2 const& rhs) {
return sprout::tuples::remake<Vector1>(
lhs,
sprout::darkroom::coords::y(lhs) * sprout::darkroom::coords::z(rhs)
- sprout::darkroom::coords::z(lhs) * sprout::darkroom::coords::y(rhs)
,
sprout::darkroom::coords::y(lhs) * sprout::darkroom::coords::x(rhs)
- sprout::darkroom::coords::x(lhs) * sprout::darkroom::coords::y(rhs)
,
sprout::darkroom::coords::x(lhs) * sprout::darkroom::coords::y(rhs)
- sprout::darkroom::coords::y(lhs) * sprout::darkroom::coords::x(rhs)
);
}
//
// normalize
//
namespace detail {
template<typename Vector>
inline SPROUT_CONSTEXPR Vector
normalize_impl(Vector const& vec, typename sprout::darkroom::access::unit<Vector>::type const& len) {
return sprout::tuples::remake<Vector>(
vec,
sprout::darkroom::coords::x(vec) / len,
sprout::darkroom::coords::y(vec) / len,
sprout::darkroom::coords::z(vec) / len
);
}
} // namespace detail
template<typename Vector>
inline SPROUT_CONSTEXPR Vector
normalize(Vector const& vec) {
return sprout::darkroom::coords::detail::normalize_impl(
vec,
sprout::darkroom::coords::length(vec)
);
}
//
// resize
//
template<typename Vector, typename Fac>
inline SPROUT_CONSTEXPR Vector
resize(Vector const& lhs, Fac const& rhs) {
return sprout::darkroom::coords::detail::normalize_impl(
lhs,
sprout::darkroom::coords::length(lhs) / rhs
);
}
//
// reflect
//
template<typename Incident, typename Normal>
inline SPROUT_CONSTEXPR Incident
reflect(Incident const& incid, Normal const& nor) {
return sprout::darkroom::coords::sub(
incid,
sprout::darkroom::coords::scale(nor, sprout::darkroom::coords::dot(incid, nor) * 2)
);
}
//
// refract
//
namespace detail {
template<typename Incident, typename Normal, typename Refraction, typename InNor, typename K>
inline SPROUT_CONSTEXPR Incident
refract_impl_1(Incident const& incid, Normal const& nor, Refraction const& eta, InNor const& t, K const& k) {
return k < 0 ? sprout::tuples::remake<Incident>(incid, 0, 0, 0)
: sprout::darkroom::coords::scale(
sprout::darkroom::coords::add(incid, sprout::darkroom::coords::scale(nor, t - sprout::math::sqrt(k))),
1 / eta
)
;
}
template<typename Incident, typename Normal, typename Refraction, typename InNor>
inline SPROUT_CONSTEXPR Incident
refract_impl(Incident const& incid, Normal const& nor, Refraction const& eta, InNor const& t) {
return sprout::darkroom::coords::detail::refract_impl_1(
incid, nor, eta,
t, eta * eta + t * t - 1
);
}
} // namespace detail
template<typename Incident, typename Normal, typename Refraction>
inline SPROUT_CONSTEXPR Incident
refract(Incident const& incid, Normal const& nor, Refraction const& eta) {
return sprout::darkroom::coords::detail::refract_impl(
incid, nor, eta,
-sprout::darkroom::coords::dot(incid, nor)
);
}
} // namespace coords
} // namespace darkroom
} // namespace sprout
#endif // #ifndef SPROUT_DARKROOM_COORDS_VECTOR_HPP
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