OpenVulkano/openVulkanoCpp/Scene/Ray.cpp

/*
 * This Source Code Form is subject to the terms of the Mozilla Public
 * License, v. 2.0. If a copy of the MPL was not distributed with this
 * file, You can obtain one at https://mozilla.org/MPL/2.0/.
 */

#include "Ray.hpp"
#include <vector>

namespace
{
	int SolveQuadraticEquation(float a, float b, float c, float& x0, float& x1)
	{ 
		float discr = b * b - 4 * a * c;
		if (discr < 0)
		{
			return 0;
		}
		if (discr == 0)
		{
			x0 = x1 = (-b) / (2 * a);
			return 1;
		}
		float q = (b > 0) ? -0.5 * (b + std::sqrt(discr)) : -0.5 * (b - std::sqrt(discr));
		x0 = q / a;
		x1 = c / q;
		if (x0 > x1)
		{
			std::swap(x0, x1);
		}
		return 2;
	}
};

namespace OpenVulkano::Scene
{
	using namespace Math::Utils;

	std::optional<RayHit> Ray::IntersectSphere(const Math::Vector3f& center, float radius) const
	{
		RayHit hitRes;
		if (intersectRaySphere(m_origin, m_dir, center, radius, hitRes.point, hitRes.normal))
		{
			hitRes.distance = distance(m_origin, hitRes.point);
			return hitRes;
		}
		return {};
	}

	std::optional<RayHit> Ray::IntersectTriangle(const Math::Vector3f& v0, const Math::Vector3f& v1,
	                                             const Math::Vector3f& v2) const
	{
		RayHit hitRes;
		vec2 baryPos;
		if (intersectRayTriangle(m_origin, m_dir, v0, v1, v2, baryPos, hitRes.distance) && hitRes.distance >= 0)
		{
			hitRes.point = (1.f - baryPos.x - baryPos.y) * v0 + baryPos.x * v1 + baryPos.y * v2;
			// calculate like cross product or leave empty ? what if current triangle is smoothly shaded ?
			hitRes.normal = Math::Vector3f(0);
			return hitRes;
		}
		return {};
	}

	std::optional<RayHit> Ray::IntersectQuad(const Math::Vector3f& v0, const Math::Vector3f& v1,
	                                         const Math::Vector3f& v2, const Math::Vector3f& v3) const
	{
		if (auto hitRes = IntersectTriangle(v0, v1, v2))
		{
			return hitRes;
		}
		if (auto hitRes = IntersectTriangle(v0, v2, v3))
		{
			return hitRes;
		}
		return {};
	}

	std::optional<RayHit> Ray::IntersectAABB(const Math::AABB& bbox) const
	{
		RayHit h1, h2;
		const int intersections = this->IntersectAABB(bbox, h1, h2);
		switch (intersections)
		{
			case 1:
				return h1;
			case 2:
				return (h1.distance < h2.distance) ? h1 : h2;
		}
		return {};
	}

	int Ray::IntersectAABB(const Math::AABB& bbox, RayHit& p1, RayHit& p2) const
	{
		const auto bMax = bbox.max;
		const auto bMin = bbox.min;

		float tmin = (bMin.x - m_origin.x) / m_dir.x;
		float tmax = (bMax.x - m_origin.x) / m_dir.x;
		if (tmin > tmax)
		{
			std::swap(tmin, tmax);
		}

		float tymin = (bMin.y - m_origin.y) / m_dir.y;
		float tymax = (bMax.y - m_origin.y) / m_dir.y;
		if (tymin > tymax)
		{
			std::swap(tymin, tymax);
		}

		if ((tmin > tymax) || (tymin > tmax))
		{
			return 0;
		}

		if (tymin > tmin)
		{
			tmin = tymin;
		}
		if (tymax < tmax)
		{
			tmax = tymax;
		}
		
		float tzmin = (bMin.z - m_origin.z) / m_dir.z;
		float tzmax = (bMax.z - m_origin.z) / m_dir.z;
		if (tzmin > tzmax)
		{
			std::swap(tzmin, tzmax);
		}

		if ((tmin > tzmax) || (tzmin > tmax))
		{
			return 0;
		}

		if (tzmin > tmin)
		{
			tmin = tzmin;
		}
		if (tzmax < tmax)
		{
			tmax = tzmax;
		}

		int intersections = 2;
		if (tmin < 0)
		{
			if (tmax < 0)
			{
				return 0;
			}
			intersections--;
			tmin = tmax;
		}

		p1.point = m_origin + tmin * m_dir;
		p2.point = m_origin + tmax * m_dir;
		p1.distance = distance(m_origin, p1.point);
		p2.distance = distance(m_origin, p2.point);
		p1.normal = p2.normal = Math::Vector3f(0);
		return intersections;
	}

	std::optional<RayHit> Ray::IntersectPlane(const Math::Vector3f& pOrigin, const Math::Vector3f& pNorm) const
	{
		RayHit hit;
		Math::Vector3f norm = normalize(pNorm);
		if (intersectRayPlane(m_origin, m_dir, pOrigin, pNorm, hit.distance))
		{
			hit.point = m_origin + m_dir * hit.distance;
			hit.normal = norm;
			return hit;
		}
		return {};
	}

	int Ray::IntersectSphere(const Math::Vector3f& center, float radius, RayHit& p1, RayHit& p2) const
	{
		const Math::Vector3f L = m_origin - center;
		const float a = dot(m_dir, m_dir); // equals to length^2
		const float b = 2 * dot(m_dir, L);
		const float c = dot(L, L) - radius * radius;
		float x1, x2;
		int roots = ::SolveQuadraticEquation(a, b, c, x1, x2);

		if (roots == 0)
		{
			return 0;
		}
		if (x1 > x2)
		{
			std::swap(x1, x2);
		}

		if (roots == 1)
		{
			// ray intersects sphere behind the origin
			if (x1 < 0)
			{
				return 0;
			}
			p1.point = m_origin + x1 * m_dir;
			p1.distance = distance(m_origin, p1.point);
			p1.normal = normalize(p1.point - center);
			p2 = p1;
		}
		else if (roots == 2)
		{
			// ray intersects sphere behind the origin
			if (x1 < 0 && x2 < 0)
			{
				return 0;
			}
			if (x1 >= 0 && x2 >= 0)
			{
				p1.point = m_origin + x1 * m_dir;
				p1.distance = distance(m_origin, p1.point);
				p1.normal = normalize(p1.point - center);
				p2.point = m_origin + x2 * m_dir;
				p2.distance = distance(m_origin, p2.point);
				p2.normal = normalize(p2.point - center);
			}
			else
			{
				--roots;
				if (x1 < 0)
				{
					x1 = x2;
				}
				p1.point = m_origin + x1 * m_dir;
				p1.distance = distance(m_origin, p1.point);
				p1.normal = normalize(p1.point - center);
				p2 = p1;
			}
		}
		return roots;
	}
}