libcruft-util/geom/segment.hpp

59 lines
1.4 KiB
C++

/*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* Copyright 2018 Danny Robson <danny@nerdcruft.net>
*/
#pragma once
#include "../point.hpp"
namespace util::geom {
template <size_t S, typename T>
struct segment {
util::point<S,T> a;
util::point<S,T> b;
};
using segment2f = segment<2,float>;
using segment3f = segment<3,float>;
template <size_t S, typename T>
T
distance2 (segment<S,T> s, point<S,T> p)
{
const auto dir = s.b - s.a;
const auto t1 = dot (p - s.a, dir);
if (t1 < 0)
return distance2 (p, s.a);
const auto t2 = dot (dir, dir);
if (t2 < t1)
return distance2 (p, s.b);
auto t = t1 / t2;
return distance2 (p, s.a + t * dir);
}
template <size_t S, typename T>
T
distance (segment<S,T> s, point<S,T> p)
{
return std::sqrt (distance2 (s, p));
}
};