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/*
* Copyright (c) 2023~Now Margoo
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*/
/**
* \file sphere.h
* \brief 球体相关定义代码
*/
#pragma once
#include <hittable.h>
class Sphere : public Hittable {
public:
Sphere(Point3 ICenter, const double& IRadius, std::shared_ptr<Material> IMaterial)
: Center(ICenter), Radius(IRadius), OMaterial(IMaterial) {
}
bool Hit(const Ray& Light, const Interval& RayRange, HitRecord& Record) const override {
Vec3 Origin = Light.OriginPoint() - Center;
// 求判别式
const auto A = Light.RayDirection().LengthSquared();
const auto HalfB = Dot(Origin, Light.RayDirection());
const auto C = Origin.LengthSquared() - Radius * Radius;
const auto Delta = HalfB * HalfB - A * C;
if (Delta < 0) {
return false;
}
const auto SqrtDelta = sqrt(Delta);
// 这里只采用最靠近原点(即最小的根)
auto Root = (-HalfB - SqrtDelta) / A;
// 如果超出范围,则选用另一个根
if (!RayRange.Surrounds(Root)) {
// 如果依然 OOR 则没有交点
Root = (-HalfB + SqrtDelta) / A;
if (!RayRange.Surrounds(Root)) {
return false;
}
}
// 求解出交点并记录在 Record 中
Record.TValue = Root;
Record.Point = Light.At(Root);
Record.OMaterial = OMaterial;
Vec3 OutwardNormal = (Record.Point - Center) / Radius;
Record.SetFaceNormal(Light, OutwardNormal);
return true;
}
private:
Point3 Center;
double Radius;
std::shared_ptr<Material> OMaterial;
};
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