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Diffuse lighting

main
Brett 2022-10-17 00:29:34 -04:00
parent cdfccf3af6
commit 7017835cfa
60 changed files with 5524 additions and 143 deletions
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30
Step 2/include/math/vectors.h
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@ -50,10 +50,10 @@ namespace Raytracing {
// and floating point units (especially on GPUs) tend to be aligned to 4*sizeof(float)
valueType value;
public:
vec4() : value{0, 0, 0, 0} {}
vec4(PRECISION_TYPE x, PRECISION_TYPE y, PRECISION_TYPE z) : value{x, y, z, 0} {}
vec4(PRECISION_TYPE x, PRECISION_TYPE y, PRECISION_TYPE z, PRECISION_TYPE w) : value{x, y, z, w} {}
vec4(const vec4& vec) : value{vec.x(), vec.y(), vec.z(), vec.w()} {}
vec4(): value{0, 0, 0, 0} {}
vec4(PRECISION_TYPE x, PRECISION_TYPE y, PRECISION_TYPE z): value{x, y, z, 0} {}
vec4(PRECISION_TYPE x, PRECISION_TYPE y, PRECISION_TYPE z, PRECISION_TYPE w): value{x, y, z, w} {}
vec4(const vec4& vec): value{vec.x(), vec.y(), vec.z(), vec.w()} {}
// most of the modern c++ here is because clang tidy was annoying me
@ -107,8 +107,8 @@ namespace Raytracing {
// we are going to ignore the w.
static inline vec4 cross(const vec4& left, const vec4& right) {
return {left.y() * right.z() - left.z() * right.y(),
left.z() * right.x() - left.x() * right.z(),
left.x() * right.y() - left.y() * right.x()};
left.z() * right.x() - left.x() * right.z(),
left.x() * right.y() - left.y() * right.x()};
}
};
@ -155,6 +155,24 @@ namespace Raytracing {
return c / +v;
}
class Ray {
private:
// the starting point for our ray
vec4 start;
// and the direction it is currently traveling
vec4 direction;
public:
Ray(const vec4& start, const vec4& direction): start(start), direction(direction) {}
[[nodiscard]] vec4 getStartingPoint() const { return start; }
[[nodiscard]] vec4 getDirection() const { return direction; }
// returns a point along the ray, extended away from start by the length.
[[nodiscard]] inline vec4 along(PRECISION_TYPE length) const { return start + length * direction; }
};
}
#endif //STEP_2_VECTORS_H

76
Step 2/include/raytracing.h
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@ -10,27 +10,13 @@
#include <math/vectors.h>
#include <image/image.h>
#include <util/parser.h>
#include <world.h>
#include <utility>
namespace Raytracing {
class Ray {
private:
// the starting point for our ray
vec4 start;
// and the direction it is currently traveling
vec4 direction;
public:
Ray(const vec4& start, const vec4& direction): start(start), direction(direction) {}
vec4 getStartingPoint() const { return start; }
vec4 getDirection() const { return direction; }
// returns a point along the ray, extended away from start by the length.
inline vec4 along(PRECISION_TYPE length) const { return start + length * direction; }
};
class Camera {
private:
/* Image details */
@ -67,37 +53,45 @@ namespace Raytracing {
Ray projectRay(PRECISION_TYPE x, PRECISION_TYPE y);
// makes the camera look at the lookatpos from the position p, with respects to the up direction up. (set to 0,1,0)
void lookAt(const vec4& pos, const vec4& lookAtPos, const vec4& up);
void setPosition(const vec4& pos) {this->position = pos;}
void setPosition(const vec4& pos) { this->position = pos; }
void setRotation(PRECISION_TYPE yaw, PRECISION_TYPE pitch, PRECISION_TYPE roll);
};
class Object {
public:
struct HitData {
// all the other values only matter if this is true
bool hit{false};
// the hit point on the object
vec4 hitPoint{};
// the normal of that hit point
vec4 normal{};
// the length of the vector from its origin in its direction.
PRECISION_TYPE length{0};
};
// return true if the ray intersects with this object, only between min and max
[[nodiscard]] virtual HitData checkIfHit(const Ray& ray, PRECISION_TYPE min, PRECISION_TYPE max) const = 0;
virtual ~Object() = default;
};
class SphereObject : public Object {
class Raycaster {
private:
vec4 position;
PRECISION_TYPE radius;
const int maxBounceDepth = 50;
const int raysPerPixel = 50;
Camera& camera;
Image& image;
World& world;
Random rnd{-1, 1};
vec4 randomInSphere() {
// there are two methods to generating a random unit sphere
// one which is fast and approximate:
//auto v = vec4(rnd.getDouble(), rnd.getDouble(), rnd.getDouble());
//return v.normalize();
// and the one which generates an actual unit vector
while (true) {
auto v = vec4(rnd.getDouble(), rnd.getDouble(), rnd.getDouble());
if (v.lengthSquared() >= 1)
continue;
return v;
}
// the second creates better results but is 18% slower (better defined shadows)
// likely due to not over generating unit vectors biased towards the corners
}
vec4 raycast(const Ray& ray, int depth);
public:
SphereObject(const vec4& position, PRECISION_TYPE radius): position(position), radius(radius) {}
Raycaster(Camera& c, Image& i, World& world, const Parser& p): camera(c), image(i), world(world) {}
void run();
[[nodiscard]] virtual HitData checkIfHit(const Ray& ray, PRECISION_TYPE min, PRECISION_TYPE max) const;
};
}

28
Step 2/include/util/std.h
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@ -24,6 +24,7 @@
#include <sstream>
#include <algorithm>
#include <limits>
#include <random>
/**
* defines
@ -42,12 +43,23 @@ const double PI = 3.1415926535897932385;
/**
* classes
*/
static inline double degreeeToRadian(double deg){
return deg * PI/180.0;
}
namespace Raytracing {
class Random {
private:
std::random_device rd; // obtain a random number from hardware
std::mt19937 gen;
std::uniform_real_distribution<double> doubleDistr {0, 1};
public:
Random(): gen(std::mt19937(long(rd.entropy() * 691 * 691))) {}
Random(double min, double max): gen(std::mt19937(long(rd.entropy() * 691 * 691))), doubleDistr{min, max} {}
double getDouble(){
return doubleDistr(gen);
}
};
class String {
public:
static inline std::string toLowerCase(const std::string& s){
@ -109,4 +121,18 @@ namespace Raytracing {
};
}
static Raytracing::Random rnd {};
static inline double getRandomDouble(){
return rnd.getDouble();
}
static inline double clamp(double val, double min, double max) {
if (val < min)
return min;
if (val > max)
return max;
return val;
}
#endif //STEP_2_STD_H

63
Step 2/include/world.h
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@ -7,24 +7,57 @@
#define STEP_2_WORLD_H
#include <util/std.h>
#include <raytracing.h>
#include <math/vectors.h>
namespace Raytracing {
class World {
private:
// store all the objects in the world,
std::vector<Object*> objects;
/*TODO: create a kd-tree or bvh version to store the objects
* this way we can easily tell if a ray is near and object or not
* saving on computation
*/
public:
World() {}
inline void add(Object* object) {objects.push_back(object);}
[[nodiscard]] virtual Object::HitData checkIfHit(const Ray& ray, PRECISION_TYPE min, PRECISION_TYPE max) const;
~World();
};
class Object {
public:
struct HitData {
// all the other values only matter if this is true
bool hit{false};
// the hit point on the object
vec4 hitPoint{};
// the normal of that hit point
vec4 normal{};
// the length of the vector from its origin in its direction.
PRECISION_TYPE length{0};
};
// return true if the ray intersects with this object, only between min and max
[[nodiscard]] virtual HitData checkIfHit(const Ray& ray, PRECISION_TYPE min, PRECISION_TYPE max) const = 0;
virtual ~Object() = default;
};
class SphereObject : public Object {
private:
vec4 position;
PRECISION_TYPE radius;
public:
SphereObject(const vec4& position, PRECISION_TYPE radius): position(position), radius(radius) {}
[[nodiscard]] virtual HitData checkIfHit(const Ray& ray, PRECISION_TYPE min, PRECISION_TYPE max) const;
};
class World {
private:
// store all the objects in the world,
std::vector<Object*> objects;
/*TODO: create a kd-tree or bvh version to store the objects
* this way we can easily tell if a ray is near and object or not
* saving on computation
*/
public:
World() = default;
World(const World& world) = delete;
World(const World&& world) = delete;
inline void add(Object* object) { objects.push_back(object); }
[[nodiscard]] virtual Object::HitData checkIfHit(const Ray& ray, PRECISION_TYPE min, PRECISION_TYPE max) const;
~World();
};
}
#endif //STEP_2_WORLD_H

23
Step 2/src/main.cpp
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@ -9,17 +9,6 @@
*
*/
Raytracing::vec4 getRayColor(const Raytracing::World& world, const Raytracing::Ray& ray){
auto hit = world.checkIfHit(ray, 0, 1000);
if (hit.hit) {
return 0.5*Raytracing::vec4(hit.normal.x()+1, hit.normal.y()+1, hit.normal.z()+1);
}
Raytracing::vec4 dir = ray.getDirection().normalize();
auto t = 0.5f * (dir.y() + 1.0);
return (1.0 - t) * Raytracing::vec4(1.0, 1.0, 1.0) + t * Raytracing::vec4(0.5, 0.7, 1.0);
}
int main(int argc, char** args) {
// not a feature full parser but it'll work for what I need.
Raytracing::Parser parser;
@ -54,20 +43,18 @@ int main(int argc, char** args) {
// not perfect (contains duplicates) but good enough.
parser.printAllInInfo();
Raytracing::Image image(1366, 768);
Raytracing::Image image(256, 256);
Raytracing::Camera camera(90, image);
camera.lookAt(Raytracing::vec4(0,1,0), Raytracing::vec4(0, 0, -1), Raytracing::vec4(0, 1, 0));
//camera.lookAt(Raytracing::vec4(0,1,0), Raytracing::vec4(0, 0, -1), Raytracing::vec4(0, 1, 0));
Raytracing::World world;
world.add(new Raytracing::SphereObject(Raytracing::vec4(0,0,-1,0), 0.5));
world.add(new Raytracing::SphereObject(Raytracing::vec4(0,-100.5,-1,0), 100));
for (int i = 0; i < image.getWidth(); i++){
for (int j = 0; j < image.getHeight(); j++){
image.setPixelColor(i, j, getRayColor(world, camera.projectRay(i, j)));
}
}
Raytracing::Raycaster raycaster {camera, image, world, parser};
raycaster.run();
Raytracing::ImageOutput imageOutput(image);

69
Step 2/src/raytracing.cpp
View File

@ -3,6 +3,7 @@
* Copyright (c) 2022 Brett Terpstra. All Rights Reserved.
*/
#include <raytracing.h>
#include <queue>
namespace Raytracing {
@ -30,44 +31,40 @@ namespace Raytracing {
// TODO:
}
Object::HitData SphereObject::checkIfHit(const Ray& ray, PRECISION_TYPE min, PRECISION_TYPE max) const {
PRECISION_TYPE radiusSquared = radius * radius;
// move the ray to be with respects to the sphere
vec4 RayWRTSphere = ray.getStartingPoint() - position;
// now determine the discriminant for the quadratic formula for the function of line sphere intercept
PRECISION_TYPE a = ray.getDirection().lengthSquared();
PRECISION_TYPE b = Raytracing::vec4::dot(RayWRTSphere, ray.getDirection());
PRECISION_TYPE c = RayWRTSphere.lengthSquared() - radiusSquared;
// > 0: the hit has two roots, meaning we hit both sides of the sphere
// = 0: the ray has one root, we hit the edge of the sphere
// < 0: ray isn't inside the sphere.
PRECISION_TYPE discriminant = b * b - (a * c);
// < 0: ray isn't inside the sphere. Don't need to bother calculating the roots.
if (discriminant < 0)
return {false, vec4(), vec4(), 0};
// now we have to find the root which exists inside our range [min,max]
auto root = (-b - std::sqrt(discriminant)) / a;
// if the first root isn't in our range
if (root < min || root > max) {
// check the second root
root = (-b + std::sqrt(discriminant)) / a;
if (root < min || root > max) {
// if the second isn't in the range then we also must return false.
return {false, vec4(), vec4(), 0};
void Raycaster::run() {
for (int i = 0; i < image.getWidth(); i++){
for (int j = 0; j < image.getHeight(); j++){
Raytracing::vec4 color;
// TODO: profile for speed;
for (int s = 0; s < raysPerPixel; s++){
// simulate anti aliasing by generating rays with very slight random directions
// TODO: this should be updated with a [-1, 1] generator as this currently only produces [0, 1]
// and therefore lacks true aliasing
color = color + raycast(camera.projectRay(i + rnd.getDouble(), j + rnd.getDouble()), 0);
}
PRECISION_TYPE sf = 1.0 / raysPerPixel;
// apply pixel color with gamma correction
image.setPixelColor(i, j, {std::sqrt(sf * color.r()), std::sqrt(sf * color.g()), std::sqrt(sf * color.b())});
}
}
// the hit point is where the ray is when extended to the root
auto RayAtRoot = ray.along(root);
// The normal of a sphere is just the point of the hit minus the center position
auto normal = (RayAtRoot - position).normalize();
}
/*if (Raytracing::vec4::dot(ray.getDirection(), normal) > 0.0) {
tlog << "ray inside sphere\n";
} else
tlog << "ray outside sphere\n";
*/
return {true, RayAtRoot, normal, root};
vec4 Raycaster::raycast(const Ray& ray, int depth) {
if (depth > maxBounceDepth)
return {0,0,0};
auto hit = world.checkIfHit(ray, 0.001, infinity);
if (hit.hit) {
// randomly cast our bounce rays to simulate diffuse lighting
vec4 newRay = hit.hitPoint + hit.normal + randomInSphere();
// recursion is the only good way to do this
// TODO: maybe without the recursion, clang tidy is annoying me.
return 0.5* raycast({hit.hitPoint, newRay - hit.hitPoint}, depth + 1);
}
vec4 dir = ray.getDirection().normalize();
auto t = 0.5f * (dir.y() + 1.0);
return (1.0 - t) * vec4(1.0, 1.0, 1.0) + t * vec4(0.5, 0.7, 1.0);
}
}

41
Step 2/src/world.cpp
View File

@ -11,6 +11,47 @@ namespace Raytracing {
delete(p);
}
Object::HitData SphereObject::checkIfHit(const Ray& ray, PRECISION_TYPE min, PRECISION_TYPE max) const {
PRECISION_TYPE radiusSquared = radius * radius;
// move the ray to be with respects to the sphere
vec4 RayWRTSphere = ray.getStartingPoint() - position;
// now determine the discriminant for the quadratic formula for the function of line sphere intercept
PRECISION_TYPE a = ray.getDirection().lengthSquared();
PRECISION_TYPE b = Raytracing::vec4::dot(RayWRTSphere, ray.getDirection());
PRECISION_TYPE c = RayWRTSphere.lengthSquared() - radiusSquared;
// > 0: the hit has two roots, meaning we hit both sides of the sphere
// = 0: the ray has one root, we hit the edge of the sphere
// < 0: ray isn't inside the sphere.
PRECISION_TYPE discriminant = b * b - (a * c);
// < 0: ray isn't inside the sphere. Don't need to bother calculating the roots.
if (discriminant < 0)
return {false, vec4(), vec4(), 0};
// now we have to find the root which exists inside our range [min,max]
auto root = (-b - std::sqrt(discriminant)) / a;
// if the first root isn't in our range
if (root < min || root > max) {
// check the second root
root = (-b + std::sqrt(discriminant)) / a;
if (root < min || root > max) {
// if the second isn't in the range then we also must return false.
return {false, vec4(), vec4(), 0};
}
}
// the hit point is where the ray is when extended to the root
auto RayAtRoot = ray.along(root);
// The normal of a sphere is just the point of the hit minus the center position
auto normal = (RayAtRoot - position).normalize();
/*if (Raytracing::vec4::dot(ray.getDirection(), normal) > 0.0) {
tlog << "ray inside sphere\n";
} else
tlog << "ray outside sphere\n";
*/
return {true, RayAtRoot, normal, root};
}
Object::HitData World::checkIfHit(const Ray& ray, PRECISION_TYPE min, PRECISION_TYPE max) const {
auto hResult = Object::HitData{false, vec4(), vec4(), max};
for (auto* obj : objects){