From e5eb17436ed563862d9b594ec717af609549d35b Mon Sep 17 00:00:00 2001 From: Pedro Jorquera Date: Sat, 2 Mar 2024 19:14:49 +0100 Subject: [PATCH] Initial import --- .gitignore | 2 + CMakeLists.txt | 13 ++++ LICENSE | 21 ++++++ README.md | 54 ++++++++++++++++ docs/render.png | Bin 0 -> 1932263 bytes src/camera.cpp | 84 ++++++++++++++++++++++++ src/camera.h | 61 ++++++++++++++++++ src/framebuffer.cpp | 37 +++++++++++ src/framebuffer.h | 25 +++++++ src/intersectable.h | 51 +++++++++++++++ src/interval.h | 36 +++++++++++ src/main.cpp | 52 +++++++++++++++ src/material.h | 88 +++++++++++++++++++++++++ src/ray.h | 24 +++++++ src/scene.cpp | 21 ++++++ src/scene.h | 17 +++++ src/sphere.cpp | 28 ++++++++ src/sphere.h | 22 +++++++ src/vector.h | 154 ++++++++++++++++++++++++++++++++++++++++++++ 19 files changed, 790 insertions(+) create mode 100644 .gitignore create mode 100644 CMakeLists.txt create mode 100644 LICENSE create mode 100644 README.md create mode 100644 docs/render.png create mode 100644 src/camera.cpp create mode 100644 src/camera.h create mode 100644 src/framebuffer.cpp create mode 100644 src/framebuffer.h create mode 100644 src/intersectable.h create mode 100644 src/interval.h create mode 100644 src/main.cpp create mode 100644 src/material.h create mode 100644 src/ray.h create mode 100644 src/scene.cpp create mode 100644 src/scene.h create mode 100644 src/sphere.cpp create mode 100644 src/sphere.h create mode 100644 src/vector.h diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..ed86553 --- /dev/null +++ b/.gitignore @@ -0,0 +1,2 @@ +.DS_Store +build/ diff --git a/CMakeLists.txt b/CMakeLists.txt new file mode 100644 index 0000000..ef1a892 --- /dev/null +++ b/CMakeLists.txt @@ -0,0 +1,13 @@ +cmake_minimum_required(VERSION 3.28) + +set(CMAKE_CXX_STANDARD 17) +set(CMAKE_CXX_STANDARD_REQUIRED ON) + +project(raytracer) + +file(GLOB srcs + "${PROJECT_SOURCE_DIR}/src/*.h" + "${PROJECT_SOURCE_DIR}/src/*.cpp" + ) + +add_executable(raytracer ${srcs}) diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..46e38da --- /dev/null +++ b/LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2024 Pedro Jorquera + +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. diff --git a/README.md b/README.md new file mode 100644 index 0000000..d572285 --- /dev/null +++ b/README.md @@ -0,0 +1,54 @@ +# Raytracer + +A simple C++ Raytracer. + +![render image](docs/render.png) + +## Features + +* Raytracing sphere geometries with front face detection. +* Positionable camera. +* Antialising. +* Simple diffuse material. +* Lambertian reflection. +* Gamma correction. +* Light scattering. +* Reflectance. +* Fuzzy reflection. +* Refraction with Snell's law. +* Schlick approximation. +* Defocus blur. + +## Building + +``` +mkdir build +cd build +cmake .. +make +``` + +## Running + +``` +cd build +./raytracer +``` + +## Generating Xcode Project + +``` +mkdir build +cd build +cmake .. -GXcode +``` + +## MIT License + +Copyright 2024 Pedro Jorquera. + +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. 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znX0cMu7MiRW_s&t6@3~UWO*xRX4WWR`(}V?HP(eV!r&_~_Y^g+&s-|?_t!fFWa8%TBZag@-Dkro=3ZXJkCx0TbiTuITirl5Bz38X)*{?Z&ff3AHVNmR_ZQV` d6BEd{*FPa$NT@X?R?`3g002ovPDHLkV1itsB9j0B literal 0 HcmV?d00001 diff --git a/src/camera.cpp b/src/camera.cpp new file mode 100644 index 0000000..b86bdbd --- /dev/null +++ b/src/camera.cpp @@ -0,0 +1,84 @@ +#import "camera.h" +#include "material.h" + +#include + +using namespace std; + +inline Color background(const Ray& ray) { + const auto unitDir = ray.dir().unit(); + const auto a = 0.5 * (unitDir.y() + 1.0); + return (1.0 - a) * Color(1.0, 1.0, 1.0) + a * Color(0.5, 0.7, 1.0); +} + +inline Color color(const Ray& ray, int depth, const shared_ptr& intersectable) { + if (depth <= 0) return Color(0.0, 0.0, 0.0); + Hit hit; + if (intersectable->intersects(ray, Interval(0.001), hit)) { + Ray scattered; + Color attenuation; + if (hit.material()->scatter(ray, hit, attenuation, scattered)) + return attenuation * color(scattered, depth - 1, intersectable); + return Color(0,0,0); + } + + return background(ray); +} + +Camera::Camera(double aspect, int samplesPerPixel, + int maxDepth, int imageWidth, double vfov, Vector lookFrom, Vector lookAt, Vector vup, double defocusAngle, double focusDist): _aspect(aspect), _samplesPerPixel(samplesPerPixel), _maxDepth(maxDepth), _lookFrom(lookFrom), + _lookAt(lookAt), _vup(vup), _defocusAngle(defocusAngle), _focusDist(focusDist) +{ + auto imageHeight = int(imageWidth / aspect); + imageHeight = (imageHeight < 1) ? 1 : imageHeight; + _frameBuffer = make_shared(imageWidth, imageHeight); + + const auto theta = vfov * M_PI / 180.0; + const auto h = tan(theta / 2.0); + const auto viewportHeight = 2.0 * h * _focusDist; + const auto viewportWidth = viewportHeight * (double(imageWidth) / imageHeight); + _viewport = { viewportWidth, viewportHeight }; + + _w = (_lookFrom - _lookAt).unit(); + _u = Vector::cross(_vup, _w).unit(); + _v = Vector::cross(_w, _u); + + const auto viewportU = _viewport.width * _u; + const auto viewportV = _viewport.height * -_v; + _viewportDeltaU = viewportU / imageWidth; + _viewportDeltaV = viewportV / imageHeight; + const auto viewportUpperLeft = _lookFrom - (_focusDist * _w) - (viewportU / 2.0) - (viewportV / 2.0); + _pixel00 = viewportUpperLeft + 0.5 * (_viewportDeltaU + _viewportDeltaV); + + const auto defocusRadius = _focusDist * tan((_defocusAngle / 2.0) * M_PI / 180.0); + _defocusDiskU = _u * defocusRadius; + _defocusDiskV = _v * defocusRadius; +} + +void Camera::render(const shared_ptr& intersectable, const string& filename) { + const auto sampleScaling = 1.0 / _samplesPerPixel; + for (int y = 0; y < _frameBuffer->height(); ++y) { + clog << "\rRendering... " << int((y + 1) * 100.0 / _frameBuffer->height()) << "%" << flush; + for (int x = 0; x < _frameBuffer->width(); ++x) { + auto pixelColor = Color(0.0, 0.0, 0.0); + for(int sample = 0; sample < _samplesPerPixel; ++sample) { + auto pixelSample = _pixel00 + x * _viewportDeltaU + y * _viewportDeltaV; + if (_samplesPerPixel > 1) { + const auto pixelSampleSquare = + (-0.5 + randomDouble()) * _viewportDeltaU + + (-0.5 + randomDouble()) * _viewportDeltaV; + pixelSample += pixelSampleSquare; + } + const auto rayOrigin = (_defocusAngle <= 0.0) ? _lookFrom : defocusDiskSample(); + const auto rayDirection = pixelSample - rayOrigin; + const auto ray = Ray(rayOrigin, rayDirection); + pixelColor += color(ray, _maxDepth, intersectable); + } + _frameBuffer->draw(x, y, (pixelColor * sampleScaling).gammaCorrected()); + } + } + clog << endl; + clog << "Saving image " << filename; + _frameBuffer->save(filename); + clog << endl; +} diff --git a/src/camera.h b/src/camera.h new file mode 100644 index 0000000..9681d6a --- /dev/null +++ b/src/camera.h @@ -0,0 +1,61 @@ +#pragma once + +#include "vector.h" +#include "intersectable.h" +#include "framebuffer.h" + +#include +#include + +typedef struct { + double width; + double height; +} Viewport; + +class Camera { + +private: + + double _aspect; + int _samplesPerPixel; + int _maxDepth; + std::shared_ptr _frameBuffer; + Viewport _viewport; + Point _pixel00; + Vector _viewportDeltaU; + Vector _viewportDeltaV; + + Point _lookFrom; + Point _lookAt; + Vector _vup; + Vector _u, _v, _w; + + double _defocusAngle; + double _focusDist; + Vector _defocusDiskU; + Vector _defocusDiskV; + + Point defocusDiskSample() { + const auto p = Vector::randomInUnitDisc(); + return _lookFrom + (p.x() * _defocusDiskU) + (p.y() * _defocusDiskV); + } + +public: + + Camera(double aspect = 16.0 / 9.0, + int samplesPerPixel = 500, + int maxDepth = 50, + int imageWidth = 1800, + double vfov = 20.0, + Vector lookFrom = Vector(13.0, 2.0, 3.0), + Vector lookAt = Vector(0.0, 0.0, 0.0), + Vector vup = Vector(0.0, 1.0, 0.0), + double defocusAngle = 0.6, + double focusDist = 10.0); + + double aspect() const { return _aspect; } + const Viewport& viewport() const { return _viewport; } + + void render(const std::shared_ptr& intersectable, const std::string& filename); + +}; diff --git a/src/framebuffer.cpp b/src/framebuffer.cpp new file mode 100644 index 0000000..b7e44dd --- /dev/null +++ b/src/framebuffer.cpp @@ -0,0 +1,37 @@ +#include "framebuffer.h" +#include "interval.h" + +#include + +using namespace std; + +FrameBuffer::FrameBuffer(int width, int height):_width(width),_height(height) { + _buffer = new unsigned char[_height * _width * 3]; +} + +FrameBuffer::~FrameBuffer() { + delete [] _buffer; +} + +void FrameBuffer::draw(int x, int y, Color color) { + static const Interval intensity(0.000, 0.999); + const auto pixelOffset = 3 * (x + y * _width); + _buffer[pixelOffset + 0] = 256 * intensity.clamp(color.r()); + _buffer[pixelOffset + 1] = 256 * intensity.clamp(color.g()); + _buffer[pixelOffset + 2] = 256 * intensity.clamp(color.b()); +} + +void FrameBuffer::save(const std::string& filename) const { + ofstream outputFile(filename); + outputFile << "P3\n" << _width << ' ' << _height << "\n255\n"; + for (int y = 0; y < _height; ++y) { + for (int x = 0; x < _width; ++x) { + const auto pixelOffset = 3 * (x + y * _width); + outputFile << int(_buffer[pixelOffset + 0]) << ' ' + << int(_buffer[pixelOffset + 1]) << ' ' + << int(_buffer[pixelOffset + 2]) + << '\n'; + } + } + outputFile.close(); +} diff --git a/src/framebuffer.h b/src/framebuffer.h new file mode 100644 index 0000000..fffdd61 --- /dev/null +++ b/src/framebuffer.h @@ -0,0 +1,25 @@ +#pragma once + +#include "vector.h" + +#include + +class FrameBuffer { + +private: + + int _width; + int _height; + unsigned char* _buffer; + +public: + + FrameBuffer(int width, int height); + virtual ~FrameBuffer(); + + int width() const { return _width; } + int height() const { return _height; } + void draw(int x, int y, Color color); + void save(const std::string& filename) const; + +}; diff --git a/src/intersectable.h b/src/intersectable.h new file mode 100644 index 0000000..efd5701 --- /dev/null +++ b/src/intersectable.h @@ -0,0 +1,51 @@ +#pragma once + +#include "ray.h" +#include "interval.h" + +#include + +class Material; + +class Hit { + +private: + + Point _point; + Vector _normal; + std::shared_ptr _material; + double _t; + bool _fronFace; + +public: + + void setPoint(const Point& point) { _point = point; } + void setNormal(const Vector& normal) { _normal = normal; } + void setMaterial(const std::shared_ptr& material) { _material = material; } + void setT(double t) { _t = t; } + void setFrontFace(bool frontFace) { _fronFace = frontFace; } + + const Point& point() const { return _point; } + const Vector& normal() const { return _normal; } + const std::shared_ptr& material() const { return _material; } + double t() const { return _t; } + bool frontFace() const { return _fronFace; } + + void setFaceNormal(const Ray& ray, const Vector& outwardNormal) { + _fronFace = Vector::dot(ray.dir(), outwardNormal) < 0.0; + _normal = _fronFace ? outwardNormal : -outwardNormal; + } + +}; + +class Intersectable { + +public: + + virtual ~Intersectable() {} + virtual bool intersects(const Ray& ray, + const Interval& interval, + Hit& hit + ) const = 0; + +}; diff --git a/src/interval.h b/src/interval.h new file mode 100644 index 0000000..dcaf209 --- /dev/null +++ b/src/interval.h @@ -0,0 +1,36 @@ +#pragma once + +#include + +class Interval { + +private: + + double _min; + double _max; + +public: + + Interval(double min = 0, + double max = std::numeric_limits::infinity()): + _min(min), _max(max) {} + + double min() const { + return _min; + } + + double max() const { + return _max; + } + + bool contains(double x) const { + return _min < x && x < _max; + } + + double clamp(double x) const { + if (x < _min) return _min; + if (x > _max) return _max; + return x; + } + +}; diff --git a/src/main.cpp b/src/main.cpp new file mode 100644 index 0000000..cc690e5 --- /dev/null +++ b/src/main.cpp @@ -0,0 +1,52 @@ +#include "camera.h" +#include "sphere.h" +#include "scene.h" + +using namespace std; + +int main() { + shared_ptr scene = make_shared(); + + const auto materialGround = make_shared(Color(0.5, 0.5, 0.5)); + scene->add(make_shared(Point(0.0, -1000.0, 0.0), 1000.0, materialGround)); + + for (auto a = -11; a < 11; a++) { + for (auto b = -11; b < 11; b++) { + const auto chooseMat = randomDouble(); + const Point center(a + 0.9 * randomDouble(), 0.2, b + 0.9 * randomDouble()); + + if ((center - Point(4.0, 0.2, 0.0)).length() > 0.9) { + shared_ptr sphereMaterial; + + if (chooseMat < 0.8) { + // diffuse + const auto albedo = Color::random(0.0, 1.0) * Color::random(0.0, 1.0); + sphereMaterial = make_shared(albedo); + scene->add(make_shared(center, 0.2, sphereMaterial)); + } else if (chooseMat < 0.95) { + // metal + auto albedo = Color::random(0.5, 1.0); + auto fuzz = randomDouble(0.0, 0.5); + sphereMaterial = make_shared(albedo, fuzz); + scene->add(make_shared(center, 0.2, sphereMaterial)); + } else { + // glass + sphereMaterial = make_shared(1.5); + scene->add(make_shared(center, 0.2, sphereMaterial)); + } + } + } + } + + auto material1 = make_shared(1.5); + scene->add(make_shared(Point(0.0, 1.0, 0.0), 1.0, material1)); + + auto material2 = make_shared(Color(0.4, 0.2, 0.1)); + scene->add(make_shared(Point(-4.0, 1.0, 0.0), 1.0, material2)); + + auto material3 = make_shared(Color(0.7, 0.6, 0.5), 0.0); + scene->add(make_shared(Point(4.0, 1.0, 0.0), 1.0, material3)); + + Camera().render(scene, "image.ppm"); + return 0; +} diff --git a/src/material.h b/src/material.h new file mode 100644 index 0000000..66a87e2 --- /dev/null +++ b/src/material.h @@ -0,0 +1,88 @@ +#pragma once + +#include "intersectable.h" + +class Material { + +public: + + virtual ~Material() = default; + virtual bool scatter(const Ray& ray, const Hit& hit, Color& attenuation, Ray& scattered) const = 0; + +}; + +class Lambertian : public Material { + +private: + + Color _albedo; + +public: + + Lambertian(const Color& color):_albedo(color) {} + bool scatter(const Ray& ray, const Hit& hit, Color& attenuation, Ray& scattered) const override { + auto direction = hit.normal() + Vector::randomUnitInUnitSphere(); + if (direction.isNearZero()) direction = hit.normal(); + scattered = Ray(hit.point(), direction); + attenuation = _albedo; + return true; + } + +}; + +class Metal : public Material { + +private: + + Color _albedo; + double _fuzz; + +public: + + Metal(const Color& color, double fuzz):_albedo(color), _fuzz(fuzz < 1.0 ? fuzz : 1.0) {} + bool scatter(const Ray& ray, const Hit& hit, Color& attenuation, Ray& scattered) const override { + Vector reflected = Vector::reflect(ray.dir().unit(), hit.normal()); + scattered = Ray(hit.point(), reflected + _fuzz * Vector::randomUnitInUnitSphere()); + attenuation = _albedo; + return true; + } + +}; + +class Dielectric : public Material { + +private: + + double _ir; + + static double reflectance(double cosine, double index) { + auto r0 = (1.0 - index) / (1.0 + index); + r0 = r0 * r0; + return r0 + (1.0 - r0) * std::pow((1.0 - cosine), 5.0); + } + +public: + + Dielectric(double indexOfRefraction):_ir(indexOfRefraction) {} + bool scatter(const Ray& ray, const Hit& hit, Color& attenuation, Ray& scattered) const override { + attenuation = Color(1.0, 1.0, 1.0); + const auto refractionRatio = hit.frontFace() ? (1.0 / _ir) : _ir; + const auto unitDirection = ray.dir().unit(); + + const auto cos_theta = std::fmin(Vector::dot(-unitDirection, hit.normal()), 1.0); + const auto sin_theta = std::sqrt(1.0 - cos_theta*cos_theta); + + const auto cannotRefract = refractionRatio * sin_theta > 1.0; + Vector direction; + + if (cannotRefract || Dielectric::reflectance(cos_theta, refractionRatio) > randomDouble()) + direction = Vector::reflect(unitDirection, hit.normal()); + else + direction = Vector::refract(unitDirection, hit.normal(), refractionRatio); + + scattered = Ray(hit.point(), direction); + + return true; + } + +}; diff --git a/src/ray.h b/src/ray.h new file mode 100644 index 0000000..9690a4a --- /dev/null +++ b/src/ray.h @@ -0,0 +1,24 @@ +#pragma once + +#include "vector.h" + +class Ray { + +private: + + Point _orig; + Vector _dir; + +public: + + Ray() {} + Ray(const Point& orig, const Vector& dir) : _orig(orig), _dir(dir) {} + + const Point& orig() const { return _orig; } + const Vector& dir() const { return _dir; } + + Point at(double t) const { + return _orig + t * _dir; + } + +}; diff --git a/src/scene.cpp b/src/scene.cpp new file mode 100644 index 0000000..bc5ebf7 --- /dev/null +++ b/src/scene.cpp @@ -0,0 +1,21 @@ +#include "scene.h" + +using namespace std; + +void Scene::add(shared_ptr intersectable) { + _intersectables.push_back(intersectable); +} + +bool Scene::intersects(const Ray& ray, const Interval& interval, Hit& hit) const { + Hit currentHit; + auto intersected = false; + auto closesSoFar = interval.max(); + for(const auto intersectable : _intersectables) { + if (intersectable->intersects(ray, Interval(interval.min(), closesSoFar), currentHit)) { + intersected = true; + closesSoFar = currentHit.t(); + hit = currentHit; + } + } + return intersected; +} diff --git a/src/scene.h b/src/scene.h new file mode 100644 index 0000000..c1cc1d2 --- /dev/null +++ b/src/scene.h @@ -0,0 +1,17 @@ +#pragma once + +#include "intersectable.h" + +#include +#include + +class Scene : public Intersectable { + +private: + + std::vector > _intersectables; + +public: + bool intersects(const Ray& ray, const Interval& interval, Hit& hit) const override; + void add(std::shared_ptr intersectable); +}; diff --git a/src/sphere.cpp b/src/sphere.cpp new file mode 100644 index 0000000..1d23361 --- /dev/null +++ b/src/sphere.cpp @@ -0,0 +1,28 @@ +#include "sphere.h" + +using namespace std; + +bool Sphere::intersects(const Ray& ray, const Interval& interval, Hit& hit) const { + const auto oc = ray.orig() - _center; + const auto a = ray.dir().lengthSquared(); + const auto halfB = Vector::dot(oc, ray.dir()); + const auto c = oc.lengthSquared() - _radius * _radius; + const auto discriminant = halfB * halfB - a * c; + if (discriminant < 0.0) return false; + + const auto sqrtd = sqrt(discriminant); + auto root = (-halfB - sqrtd) / a; + + if (!interval.contains(root)) { + root = (-halfB + sqrtd) / a; + if (!interval.contains(root)) return false; + } + + hit.setT(root); + hit.setPoint(ray.at(hit.t())); + Vector outwardNormal = (hit.point() - _center) / _radius; + hit.setFaceNormal(ray, outwardNormal); + hit.setMaterial(_material); + + return true; +} diff --git a/src/sphere.h b/src/sphere.h new file mode 100644 index 0000000..75c6d7b --- /dev/null +++ b/src/sphere.h @@ -0,0 +1,22 @@ +#pragma once + +#include "intersectable.h" +#include "material.h" + +#include + +class Sphere : public Intersectable { + +private: + + Point _center; + double _radius; + std::shared_ptr _material; + +public: + + Sphere(const Point& center, double radius, const std::shared_ptr& material): + _center(center),_radius(radius),_material(material) {} + bool intersects(const Ray& ray, const Interval& interval, Hit& hit) const override; + +}; diff --git a/src/vector.h b/src/vector.h new file mode 100644 index 0000000..abb2eca --- /dev/null +++ b/src/vector.h @@ -0,0 +1,154 @@ +#pragma once + +#include +#include + +inline double randomDouble(double min = 0.0, double max = 1.0) { + static std::uniform_real_distribution distribution(0.0, 1.0); + static auto generator = std::mt19937{std::random_device()()}; + return min + (max - min) * distribution(generator); +} + +class Vector { + +private: + + double _c[3]; + +public: + + Vector() : _c{0.0, 0.0, 0.0} {} + Vector(double x, double y, double z) : _c{x, y, z} {} + + inline double x() const { return _c[0]; } + inline double y() const { return _c[1]; } + inline double z() const { return _c[2]; } + + inline double r() const { return _c[0]; } + inline double g() const { return _c[1]; } + inline double b() const { return _c[2]; } + + Vector operator-() const { return Vector(-x(), -y(), -z()); } + + Vector& operator+=(const Vector& v) { + _c[0] += v.x(); + _c[1] += v.y(); + _c[2] += v.z(); + return *this; + } + + Vector& operator*=(double t) { + _c[0] *= t; + _c[1] *= t; + _c[2] *= t; + return *this; + } + + Vector& operator/=(double t) { + return *this *= 1.0 / t; + } + + inline friend Vector operator*(double t, const Vector& v) { + return Vector(t * v.x(), t * v.y(), t * v.z()); + } + + inline friend Vector operator*(const Vector& v, double t) { + return t * v; + } + + inline friend Vector operator+(const Vector& u, const Vector& v) { + return Vector(u.x() + v.x(), u.y() + v.y(), u.z() + v.z()); + } + + inline friend Vector operator-(const Vector& u, const Vector& v) { + return Vector(u.x() - v.x(), u.y() - v.y(), u.z() - v.z()); + } + + inline friend Vector operator*(const Vector& u, const Vector& v) { + return Vector(u.x() * v.x(), u.y() * v.y(), u.z() * v.z()); + } + + inline friend Vector operator/(const Vector& v, double t) { + return (1.0 / t) * v; + } + + double length() const { + return std::sqrt(lengthSquared()); + } + + double lengthSquared() const { + return x() * x() + y() * y() + z() * z(); + } + + Vector unit() const { + const auto l = length(); + return Vector(x() / l, y() / l, z() / l); + } + + Vector& gammaCorrected() { + _c[0] = std::sqrt(_c[0]); + _c[1] = std::sqrt(_c[1]); + _c[2] = std::sqrt(_c[2]); + return *this; + } + + bool isNearZero() const { + const auto s = 1e-8; + return (fabs(_c[0]) < s) && (fabs(_c[1]) < s) && (fabs(_c[2]) < s); + } + + static Vector reflect(const Vector& vector, const Vector& normal) { + return vector - 2.0 * Vector::dot(vector, normal) * normal; + } + + static double dot(const Vector& u, const Vector& v) { + return u.x() * v.x() + u.y() * v.y() + u.z() * v.z(); + } + + static Vector cross(const Vector& u, const Vector& v) { + return Vector(u.y() * v.z() - u.z() * v.y(), + u.z() * v.x() - u.x() * v.z(), + u.x() * v.y() - u.y() * v.x()); + } + + static Vector random(double min, double max) { + return Vector(randomDouble(min, max), randomDouble(min, max), randomDouble(min, max)); + } + + static Vector randomInUnitSphere() { + while (true) { + auto randomVector = Vector::random(-1.0, 1.0); + if (randomVector.lengthSquared() < 1.0) { + return randomVector; + } + } + } + + static Vector randomUnitInUnitSphere() { + return randomInUnitSphere().unit(); + } + + static Vector randomOnHemisphere(const Vector& normal) { + const auto onUnitSphere = randomUnitInUnitSphere(); + if (Vector::dot(onUnitSphere, normal) > 0.0) return onUnitSphere; + else return -onUnitSphere; + } + + static Vector refract(const Vector& uv, const Vector& n, double etaiOverEtat) { + const auto cosTheta = std::fmin(Vector::dot(-uv, n), 1.0); + const Vector rOutPerp = etaiOverEtat * (uv + cosTheta * n); + const Vector rOutParallel = -std::sqrt(std::fabs(1.0 - rOutPerp.lengthSquared())) * n; + return rOutPerp + rOutParallel; + } + + static Vector randomInUnitDisc() { + while (true) { + const auto vector = Vector(randomDouble(-1.0, 1.0), randomDouble(-1.0, 1.0), 0.0); + if (vector.lengthSquared() < 1.0) return vector; + } + } + +}; + +using Point = Vector; +using Color = Vector;