From 07b339cd672ed52c149b5d17e514192e2bdde70a Mon Sep 17 00:00:00 2001 From: Steve Hollasch Date: Mon, 22 Apr 2024 21:06:05 -0700 Subject: [PATCH] Updates from book 3 complete progression Also includes some minor fixes. Note that this shows the current state of some buggy renders, which render the entire scene as black, except for the single square light source. Resolves #988 Resolves #1317 --- books/RayTracingTheRestOfYourLife.html | 265 ++++++++++++++------- images/img-3.06-cornell-ortho.jpg | Bin 79496 -> 157108 bytes images/img-3.07-cornell-sample-light.jpg | Bin 29847 -> 59021 bytes images/img-3.08-cornell-lightdown.jpg | Bin 28820 -> 53353 bytes images/img-3.09-cornell-cos-pdf.jpg | Bin 79525 -> 189237 bytes images/img-3.10-hittable-light.jpg | Bin 28940 -> 2251 bytes images/img-3.11-cosine-and-light.jpg | Bin 28987 -> 2271 bytes images/img-3.12-arbitrary-pdf.jpg | Bin 40654 -> 2263 bytes images/img-3.13-cornell-glass-sphere.jpg | Bin 116649 -> 2263 bytes images/img-3.14-glass-and-light.jpg | Bin 35549 -> 80654 bytes images/img-3.15-book3-final.jpg | Bin 35221 -> 80654 bytes src/InOneWeekend/color.h | 2 + src/InOneWeekend/rtweekend.h | 3 + src/TheNextWeek/color.h | 2 + src/TheNextWeek/quad.h | 1 + src/TheNextWeek/rtweekend.h | 3 + src/TheRestOfYourLife/camera.h | 6 +- src/TheRestOfYourLife/color.h | 2 + src/TheRestOfYourLife/cos_cubed.cc | 4 +- src/TheRestOfYourLife/cos_density.cc | 4 +- src/TheRestOfYourLife/estimate_halfway.cc | 18 +- src/TheRestOfYourLife/integrate_x_sq.cc | 17 +- src/TheRestOfYourLife/main.cc | 2 - src/TheRestOfYourLife/onb.h | 1 + src/TheRestOfYourLife/pdf.h | 34 +-- src/TheRestOfYourLife/pi.cc | 13 +- src/TheRestOfYourLife/quad.h | 1 + src/TheRestOfYourLife/rtweekend.h | 3 + src/TheRestOfYourLife/sphere_importance.cc | 4 +- src/TheRestOfYourLife/sphere_plot.cc | 1 - 30 files changed, 251 insertions(+), 135 deletions(-) diff --git a/books/RayTracingTheRestOfYourLife.html b/books/RayTracingTheRestOfYourLife.html index 44a6ce77..ac7d8768 100644 --- a/books/RayTracingTheRestOfYourLife.html +++ b/books/RayTracingTheRestOfYourLife.html @@ -317,10 +317,12 @@ cam.render(world); } ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - [Listing [estpi-3]: [main.cc] Stratifying the samples inside pixels] + [Listing [estpi-3]: [main.cc] Cornell box, revisited] Run this program to generate an un-stratified render and save for comparison. +Now make the following changes to implement a stratified sampling procedure: + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ class camera { public: @@ -476,20 +478,13 @@
Our work above is equally valid as a means to solve for $\pi$ as it is a means to solve for the area -of a circle. So we could make the following substitution in the first version of our program: - - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ - ... - int main() { - ... - +of a circle. So we could make the following substitution in one of the first versions of our pi +program: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ delete std::cout << "Estimate of Pi = " << (4.0 * inside_circle) / N << '\n'; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight std::cout << "Estimated area of unit circle = " << (4.0 * inside_circle) / N << '\n'; - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ - } ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [Listing [estunitcircle]: [pi.cc] Estimating area of unit circle] @@ -1186,6 +1181,7 @@ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ int N = 1000000; auto sum = 0.0; + for (int i = 0; i < N; i++) { ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight auto x = f(random_double()); @@ -1748,10 +1744,10 @@ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight double scattering_pdf = rec.mat->scattering_pdf(r, rec, scattered); - double pdf = scattering_pdf; + double pdf_value = scattering_pdf; color color_from_scatter = - (attenuation * scattering_pdf * ray_color(scattered, depth-1, world)) / pdf; + (attenuation * scattering_pdf * ray_color(scattered, depth-1, world)) / pdf_value; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ return color_from_emission + color_from_scatter; @@ -1765,7 +1761,7 @@
You should get exactly the same picture. Which _should make sense_, as the scattered part of -`ray_color` is getting multiplied by `scattering_pdf / pdf`, and as `pdf` is equal to +`ray_color` is getting multiplied by `scattering_pdf / pdf_value`, and as `pdf_value` is equal to `scattering_pdf` is just the same as multiplying by one. @@ -1804,11 +1800,11 @@ double scattering_pdf = rec.mat->scattering_pdf(r, rec, scattered); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight - double pdf = 1 / (2*pi); + double pdf_value = 1 / (2*pi); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ color color_from_scatter = - (attenuation * scattering_pdf * ray_color(scattered, depth-1, world)) / pdf; + (attenuation * scattering_pdf * ray_color(scattered, depth-1, world)) / pdf_value; return color_from_emission + color_from_scatter; } @@ -1830,7 +1826,7 @@ double scattering_pdf = rec.mat->scattering_pdf(r, rec, scattered); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight - double pdf = scattering_pdf; + double pdf_value = scattering_pdf; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ ... @@ -2312,8 +2308,10 @@ class hit_record; class material { + public: ... + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight virtual bool scatter( const ray& r_in, const hit_record& rec, color& attenuation, ray& scattered, double& pdf @@ -2351,59 +2349,88 @@ }; class metal : public material { - public: - ... + public: + ... + + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight bool scatter( const ray& r_in, const hit_record& rec, color& attenuation, ray& scattered, double& pdf ) const override { ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ - ... + ... } - }; + }; class dielectric : public material { - public: - ... + public: + ... + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight bool scatter( const ray& r_in, const hit_record& rec, color& attenuation, ray& scattered, double& pdf ) const override { ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ - ... + ... } - }; + }; class diffuse_light : public material { - public: - ... + ... + }; + + class isotropic : public material { + public: + ... + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight bool scatter( const ray& r_in, const hit_record& rec, color& attenuation, ray& scattered, double& pdf ) const override { ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ - ... + ... } - }; + }; + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + [Listing [scatter-onb]: [material.h] Scatter function, with orthonormal basis] - class isotropic : public material { - public: + + +And here we add the accompanying changes to the camera class: + + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + class camera { + ... + private: + ... + + color ray_color(const ray& r, int depth, const hittable& world) const { ... - + + ray scattered; + color attenuation; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight - bool scatter( - const ray& r_in, const hit_record& rec, color& attenuation, ray& scattered, double& pdf - ) const override { + double pdf_value; // TODO: What are we supposed to do with the returned PDF? + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + color color_from_emission = rec.mat->emitted(rec.u, rec.v, rec.p); + + + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight + if (!rec.mat->scatter(r, rec, attenuation, scattered, pdf_value)) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ - ... + return color_from_emission; + + ... } + + ... }; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - [Listing [scatter-onb]: [material.h] Scatter function, with orthonormal basis] - - + [Listing [scatter-onb-ray-color]: [camera.h] + Updated ray_color function with returned PDF value + ]
Which produces: @@ -2427,8 +2454,8 @@ bool scatter( const ray& r_in, const hit_record& rec, color& attenuation, ray& scattered, double& pdf ) const override { - attenuation = tex->value(rec.u, rec.v, rec.p); scattered = ray(rec.p, random_unit_vector(), r_in.time()); + attenuation = tex->value(rec.u, rec.v, rec.p); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight pdf = 1 / (4 * pi); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ @@ -2511,6 +2538,8 @@ class camera { ... private: + ... + color ray_color(const ray& r, int depth, const hittable& world) const { // If we've exceeded the ray bounce limit, no more light is gathered. if (depth <= 0) @@ -2524,15 +2553,10 @@ ray scattered; color attenuation; - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight - double pdf; - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + double pdf_value; // TODO: What are we supposed to do with the returned PDF? color color_from_emission = rec.mat->emitted(rec.u, rec.v, rec.p); - - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight - if (!rec.mat->scatter(r, rec, attenuation, scattered, pdf)) - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + if (!rec.mat->scatter(r, rec, attenuation, scattered, pdf_value)) return color_from_emission; @@ -2550,14 +2574,14 @@ if (light_cosine < 0.000001) return color_from_emission; - pdf = distance_squared / (light_cosine * light_area); + pdf_value = distance_squared / (light_cosine * light_area); scattered = ray(rec.p, to_light, r.time()); double scattering_pdf = rec.mat->scattering_pdf(r, rec, scattered); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ color color_from_scatter = - (attenuation * scattering_pdf * ray_color(scattered, depth-1, world)) / pdf; + (attenuation * scattering_pdf * ray_color(scattered, depth-1, world)) / pdf_value; return color_from_emission + color_from_scatter; } @@ -2565,7 +2589,23 @@ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [Listing [ray-color-lights]: [camera.h] Ray color with light sampling] -
+We'll test this scene with just ten samples per pixel: + + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + int main() { + ... + cam.aspect_ratio = 1.0; + cam.image_width = 600; + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight + cam.samples_per_pixel = 10; + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + cam.max_depth = 50; + cam.background = color(0,0,0); + ... + } + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + [Listing [ray-color-lights-10spp]: [main.cc] Ray color with light sampling at 10spp] + With 10 samples per pixel this yields: ![Image 7: Cornell box, sampling only the light, 10 samples per pixel @@ -2574,8 +2614,6 @@ This is about what we would expect from something that samples only the light sources, so this appears to work. -
- Switching to Unidirectional Light ---------------------------------- @@ -2609,7 +2647,7 @@ const override { if (!rec.front_face) return color(0,0,0); - return emit->value(u, v, p); + return tex->value(u, v, p); } ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ @@ -2699,7 +2737,7 @@ #endif ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - [Listing [class-pdf]: [pdf.h] The abstract pdf class] + [Listing [class-pdf]: [pdf.h] The abstract PDF class]
@@ -2721,7 +2759,7 @@ } }; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - [Listing [class-uni-pdf]: [pdf.h] The uniform_pdf class] + [Listing [class-uni-pdf]: [pdf.h] The sphere_pdf class] @@ -2754,10 +2792,13 @@ We can try this cosine PDF in the `ray_color()` function: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + #include "rtweekend.h" + #include "hittable.h" ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight #include "pdf.h" ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + #include "material.h" class camera { ... @@ -2776,36 +2817,49 @@ ray scattered; color attenuation; - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight - double pdf_val; + double pdf_value; // TODO: What are we supposed to do with the returned PDF? color color_from_emission = rec.mat->emitted(r, rec, rec.u, rec.v, rec.p); - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ - - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight - if (!rec.mat->scatter(r, rec, attenuation, scattered, pdf_val)) - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + if (!rec.mat->scatter(r, rec, attenuation, scattered, pdf_value)) return color_from_emission; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight cosine_pdf surface_pdf(rec.normal); scattered = ray(rec.p, surface_pdf.generate(), r.time()); - pdf_val = surface_pdf.value(scattered.direction()); + pdf_value = surface_pdf.value(scattered.direction()); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ double scattering_pdf = rec.mat->scattering_pdf(r, rec, scattered); color color_from_scatter = - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight - (attenuation * scattering_pdf * ray_color(scattered, depth-1, world)) / pdf_val; - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + (attenuation * scattering_pdf * ray_color(scattered, depth-1, world)) / pdf_value; return color_from_emission + color_from_scatter; } }; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - [Listing [ray-color-cos-pdf]: [camera.h] The ray_color function, using cosine pdf] + [Listing [ray-color-cos-pdf]: [camera.h] The ray_color function, using cosine PDF] + + + +
+And set the render back to 1000 samples per pixel: + + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + int main() { + ... + cam.aspect_ratio = 1.0; + cam.image_width = 600; + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight + cam.samples_per_pixel = 1000; + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + cam.max_depth = 50; + cam.background = color(0,0,0); + ... + } + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + [Listing [cosine-density-1000spp]: [main.cc] Reset sampling back to 1000spp]
@@ -2824,9 +2878,16 @@ Now we can try sampling directions toward a `hittable`, like the light. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ - ... + #include "rtweekend.h" + + + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight #include "hittable_list.h" + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + #include "onb.h" + ... + class hittable_pdf : public pdf { public: hittable_pdf(const hittable& objects, const point3& origin) @@ -2859,7 +2920,11 @@ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ class hittable { public: - ... + virtual ~hittable() = default; + + virtual bool hit(const ray& r, interval ray_t, hit_record& rec) const = 0; + + virtual aabb bounding_box() const = 0; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight @@ -2868,7 +2933,7 @@ } virtual vec3 random(const point3& origin) const { - return vec3(1, 0, 0); + return vec3(1,0,0); } ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ }; @@ -2896,6 +2961,7 @@ set_bounding_box(); } + ... @@ -2930,7 +2996,7 @@ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ }; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - [Listing [quad-pdf]: [quad.h] quad with pdf] + [Listing [quad-pdf]: [quad.h] quad with PDF] @@ -2946,6 +3012,8 @@ class camera { public: ... + + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight void render(const hittable& world, const hittable& lights) { ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ @@ -2975,23 +3043,27 @@ ... private: ... + + + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight color ray_color(const ray& r, int depth, const hittable& world, const hittable& lights) const { + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ ... ray scattered; color attenuation; - double pdf_val; + double pdf_value; // TODO: What are we supposed to do with the returned PDF? color color_from_emission = rec.mat->emitted(r, rec, rec.u, rec.v, rec.p); - if (!rec.mat->scatter(r, rec, attenuation, scattered, pdf_val)) + if (!rec.mat->scatter(r, rec, attenuation, scattered, pdf_value)) return color_from_emission; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight hittable_pdf light_pdf(light_ptr, rec.p); scattered = ray(rec.p, light_pdf.generate(), r.time()); - pdf_val = light_pdf.value(scattered.direction()); + pdf_value = light_pdf.value(scattered.direction()); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ double scattering_pdf = rec.mat->scattering_pdf(r, rec, scattered); @@ -2999,7 +3071,7 @@ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight color sample_color = ray_color(scattered, depth-1, world, lights); - color color_from_scatter = (attenuation * scattering_pdf * sample_color) / pdf_val; + color color_from_scatter = (attenuation * scattering_pdf * sample_color) / pdf_value; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ return color_from_emission + color_from_scatter; @@ -3101,7 +3173,7 @@ honestly sounds like a nightmare, but fortunately we don't need to do that. There are some directions that both PDFs could have generated. For example, a direction toward the light could have been generated by either $\operatorname{pLight}$ _or_ $\operatorname{pSurface}$. It is sufficient -for us to solve for the pdf value of $\operatorname{pSurface}$ and of $\operatorname{pLight}$ for a +for us to solve for the PDF value of $\operatorname{pSurface}$ and of $\operatorname{pLight}$ for a random direction and then take the PDF mixture weights to solve for the total PDF value for that direction. The mixture density class is actually pretty straightforward: @@ -3141,11 +3213,12 @@ ... private: ... + color ray_color(const ray& r, int depth, const hittable& world, const hittable& lights) const { ... - if (!rec.mat->scatter(r, rec, attenuation, scattered, pdf_val)) + if (!rec.mat->scatter(r, rec, attenuation, scattered, pdf_value)) return color_from_emission; @@ -3155,13 +3228,13 @@ mixture_pdf mixed_pdf(p0, p1); scattered = ray(rec.p, mixed_pdf.generate(), r.time()); - pdf_val = mixed_pdf.value(scattered.direction()); + pdf_value = mixed_pdf.value(scattered.direction()); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ double scattering_pdf = rec.mat->scattering_pdf(r, rec, scattered); color sample_color = ray_color(scattered, depth-1, world, lights); - color color_from_scatter = (attenuation * scattering_pdf * sample_color) / pdf_val; + color color_from_scatter = (attenuation * scattering_pdf * sample_color) / pdf_value; return color_from_emission + color_from_scatter; } @@ -3272,6 +3345,7 @@ public: ... + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight virtual bool scatter(const ray& r_in, const hit_record& rec, scatter_record& srec) const { return false; @@ -3289,6 +3363,20 @@ The `lambertian` material becomes simpler: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + #include "rtweekend.h" + + + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ delete + #include "onb.h" + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight + #include "pdf.h" + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + #include "texture.h" + + class hit_record; + + ... + class lambertian : public material { public: lambertian(const color& albedo) : tex(make_shared(albedo)) {} @@ -3304,9 +3392,12 @@ } ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ - double scattering_pdf(const ray& r_in, const hit_record& rec, const ray& scattered) const { - auto cosine = dot(rec.normal, unit_vector(scattered.direction())); - return cosine < 0 ? 0 : cosine/pi; + double scattering_pdf(const ray& r_in, const hit_record& rec, const ray& scattered) + const override { + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight + auto cos_theta = dot(rec.normal, unit_vector(scattered.direction())); + return cos_theta < 0 ? 0 : cos_theta/pi; + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ } private: @@ -3357,6 +3448,7 @@ ... private: ... + color ray_color(const ray& r, int depth, const hittable& world, const hittable& lights) const { // If we've exceeded the ray bounce limit, no more light is gathered. @@ -3387,14 +3479,15 @@ mixture_pdf p(light_ptr, srec.pdf_ptr); ray scattered = ray(rec.p, p.generate(), r.time()); - auto pdf_val = p.value(scattered.direction()); + auto pdf_value = p.value(scattered.direction()); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ double scattering_pdf = rec.mat->scattering_pdf(r, rec, scattered); color sample_color = ray_color(scattered, depth-1, world, lights); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight - color color_from_scatter = (srec.attenuation * scattering_pdf * sample_color) / pdf_val; + color color_from_scatter = + (srec.attenuation * scattering_pdf * sample_color) / pdf_value; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ return color_from_emission + color_from_scatter; @@ -3638,6 +3731,11 @@ The sphere class needs the two PDF-related functions: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + #include "hittable.h" + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight + #include "onb.h" + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ + class sphere : public hittable { public: ... @@ -3669,6 +3767,7 @@ private: ... + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight static vec3 random_to_sphere(double radius, double distance_squared) { auto r1 = random_double(); diff --git a/images/img-3.06-cornell-ortho.jpg b/images/img-3.06-cornell-ortho.jpg index 133306d00198f1a42f74724bc29b77c21eb55c84..9edd823a1e97ca4068f65df23e050aad356040a5 100644 GIT binary patch literal 157108 zcmd3MWmghn?hssqy9Nscm&JlFvUu1hjqud1Y?1ONg70O0clcv=O>1HhpF;J-Wg86c>T z{{S5o6$KRo9TO7+9RmXs8xI>33l|Fm1BUZkcbeU==mN0KPJHcD8Uf) zXF_}|46Ns`|Bvw02OvNP8H0?$Kmq`W00<@kJ`DkA000me_#XiN4}c*6AP5B&4ISed zt&R@>fu5TNK~O+oR1_eP00;sTFhB_T07SBkIw+|8*2GM5UXf_&x+P8MBmy@57Z}jl 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0) @@ -24,6 +25,7 @@ inline double linear_to_gamma(double linear_component) return 0; } + void write_color(std::ostream& out, const color& pixel_color) { auto r = pixel_color.x(); auto g = pixel_color.y(); diff --git a/src/InOneWeekend/rtweekend.h b/src/InOneWeekend/rtweekend.h index 0464d1b1..98218071 100644 --- a/src/InOneWeekend/rtweekend.h +++ b/src/InOneWeekend/rtweekend.h @@ -21,11 +21,13 @@ using std::make_shared; using std::shared_ptr; + // Constants const double infinity = std::numeric_limits::infinity(); const double pi = 3.1415926535897932385; + // Utility Functions inline double degrees_to_radians(double degrees) { @@ -42,6 +44,7 @@ inline double random_double(double min, double max) { return min + (max-min)*random_double(); } + // Common Headers #include "color.h" diff --git a/src/TheNextWeek/color.h b/src/TheNextWeek/color.h index 9494a018..115602a8 100644 --- a/src/TheNextWeek/color.h +++ b/src/TheNextWeek/color.h @@ -16,6 +16,7 @@ using color = vec3; + inline double linear_to_gamma(double linear_component) { if (linear_component > 0) @@ -24,6 +25,7 @@ inline double linear_to_gamma(double linear_component) return 0; } + void write_color(std::ostream& out, const color& pixel_color) { auto r = pixel_color.x(); auto g = pixel_color.y(); diff --git a/src/TheNextWeek/quad.h b/src/TheNextWeek/quad.h index 652f91d4..57ef5cbb 100644 --- a/src/TheNextWeek/quad.h +++ b/src/TheNextWeek/quad.h @@ -14,6 +14,7 @@ #include "hittable.h" #include "hittable_list.h" + class quad : public hittable { public: quad(const point3& Q, const vec3& u, const vec3& v, shared_ptr mat) diff --git a/src/TheNextWeek/rtweekend.h b/src/TheNextWeek/rtweekend.h index 52250318..41028b9d 100644 --- a/src/TheNextWeek/rtweekend.h +++ b/src/TheNextWeek/rtweekend.h @@ -21,11 +21,13 @@ using std::make_shared; using std::shared_ptr; + // Constants const double infinity = std::numeric_limits::infinity(); const double pi = 3.1415926535897932385; + // Utility Functions inline double degrees_to_radians(double degrees) { @@ -47,6 +49,7 @@ inline int random_int(int min, int max) { return int(random_double(min, max+1)); } + // Common Headers #include "color.h" diff --git a/src/TheRestOfYourLife/camera.h b/src/TheRestOfYourLife/camera.h index 777b7844..64ba4a6e 100644 --- a/src/TheRestOfYourLife/camera.h +++ b/src/TheRestOfYourLife/camera.h @@ -14,6 +14,7 @@ #include "rtweekend.h" #include "hittable.h" +#include "pdf.h" #include "material.h" @@ -175,12 +176,13 @@ class camera { mixture_pdf p(light_ptr, srec.pdf_ptr); ray scattered = ray(rec.p, p.generate(), r.time()); - auto pdf_val = p.value(scattered.direction()); + auto pdf_value = p.value(scattered.direction()); double scattering_pdf = rec.mat->scattering_pdf(r, rec, scattered); color sample_color = ray_color(scattered, depth-1, world, lights); - color color_from_scatter = (srec.attenuation * scattering_pdf * sample_color) / pdf_val; + color color_from_scatter = + (srec.attenuation * scattering_pdf * sample_color) / pdf_value; return color_from_emission + color_from_scatter; } diff --git a/src/TheRestOfYourLife/color.h b/src/TheRestOfYourLife/color.h index 1c4a9ac9..22588287 100644 --- a/src/TheRestOfYourLife/color.h +++ b/src/TheRestOfYourLife/color.h @@ -16,6 +16,7 @@ using color = vec3; + inline double linear_to_gamma(double linear_component) { if (linear_component > 0) @@ -24,6 +25,7 @@ inline double linear_to_gamma(double linear_component) return 0; } + void write_color(std::ostream& out, const color& pixel_color) { auto r = pixel_color.x(); auto g = pixel_color.y(); diff --git a/src/TheRestOfYourLife/cos_cubed.cc b/src/TheRestOfYourLife/cos_cubed.cc index fca24927..dcf721de 100644 --- a/src/TheRestOfYourLife/cos_cubed.cc +++ b/src/TheRestOfYourLife/cos_cubed.cc @@ -13,7 +13,7 @@ #include #include -#include + double f(double r2) { // auto x = std::cos(2*pi*r1) * 2 * std::sqrt(r2*(1-r2)); @@ -23,10 +23,12 @@ double f(double r2) { return cos_theta*cos_theta*cos_theta; } + double pdf() { return 1.0 / (2.0*pi); } + int main() { int N = 1000000; diff --git a/src/TheRestOfYourLife/cos_density.cc b/src/TheRestOfYourLife/cos_density.cc index 428fa65d..c1564f26 100644 --- a/src/TheRestOfYourLife/cos_density.cc +++ b/src/TheRestOfYourLife/cos_density.cc @@ -13,17 +13,19 @@ #include #include -#include + double f(const vec3& d) { auto cos_theta = d.z(); return cos_theta*cos_theta*cos_theta; } + double pdf(const vec3& d) { return d.z() / pi; } + int main() { int N = 1000000; diff --git a/src/TheRestOfYourLife/estimate_halfway.cc b/src/TheRestOfYourLife/estimate_halfway.cc index 43513609..98d5cc6a 100644 --- a/src/TheRestOfYourLife/estimate_halfway.cc +++ b/src/TheRestOfYourLife/estimate_halfway.cc @@ -13,40 +13,42 @@ #include #include #include -#include -#include -#include + struct sample { double x; double p_x; }; + bool compare_by_x(const sample& a, const sample& b) { return a.x < b.x; } + int main() { unsigned int N = 10000; double sum = 0.0; - // iterate through all of our samples + // Iterate through all of our samples. + std::vector samples; for (unsigned int i = 0; i < N; i++) { - // Get the area under the curve + // Get the area under the curve. auto x = random_double(0, 2*pi); auto sin_x = std::sin(x); auto p_x = exp(-x / (2*pi)) * sin_x * sin_x; sum += p_x; - // store this sample + + // Store this sample. sample this_sample = {x, p_x}; samples.push_back(this_sample); } - // Sort the samples by x + // Sort the samples by x. std::sort(samples.begin(), samples.end(), compare_by_x); - // Find out the sample at which we have half of our area + // Find out the sample at which we have half of our area. double half_sum = sum / 2.0; double halfway_point = 0.0; double accum = 0.0; diff --git a/src/TheRestOfYourLife/integrate_x_sq.cc b/src/TheRestOfYourLife/integrate_x_sq.cc index 654b5728..dfa2aa24 100644 --- a/src/TheRestOfYourLife/integrate_x_sq.cc +++ b/src/TheRestOfYourLife/integrate_x_sq.cc @@ -13,26 +13,31 @@ #include #include -#include -#include + double f(double d) { return 8.0 * std::pow(d, 1.0/3.0); } + double pdf(double x) { - return (3.0/8.0) * x*x; + return (3.0/8.0) * x*x; } + int main() { int N = 1; - auto sum = 0.0; + for (int i = 0; i < N; i++) { - auto x = f(random_double()); + auto z = random_double(); + if (z == 0.0) // Ignore zero to avoid NaNs + continue; + + auto x = f(z); sum += x*x / pdf(x); } std::cout << std::fixed << std::setprecision(12); - std::cout << "I = " << sum / N << '\n'; + std::cout << "I = " << (sum / N) << '\n'; } diff --git a/src/TheRestOfYourLife/main.cc b/src/TheRestOfYourLife/main.cc index d99c7b88..1386689d 100644 --- a/src/TheRestOfYourLife/main.cc +++ b/src/TheRestOfYourLife/main.cc @@ -12,8 +12,6 @@ #include "rtweekend.h" #include "camera.h" -#include "constant_medium.h" -#include "hittable.h" #include "hittable_list.h" #include "material.h" #include "quad.h" diff --git a/src/TheRestOfYourLife/onb.h b/src/TheRestOfYourLife/onb.h index 43085eae..53f961eb 100644 --- a/src/TheRestOfYourLife/onb.h +++ b/src/TheRestOfYourLife/onb.h @@ -13,6 +13,7 @@ #include "rtweekend.h" + class onb { public: onb() {} diff --git a/src/TheRestOfYourLife/pdf.h b/src/TheRestOfYourLife/pdf.h index 1993b41b..cf635f8a 100644 --- a/src/TheRestOfYourLife/pdf.h +++ b/src/TheRestOfYourLife/pdf.h @@ -1,15 +1,5 @@ #ifndef PDF_H #define PDF_H -//============================================================================================== -// Originally written in 2016 by Peter Shirley -// -// To the extent possible under law, the author(s) have dedicated all copyright and related and -// neighboring rights to this software to the public domain worldwide. This software is -// distributed without any warranty. -// -// You should have received a copy (see file COPYING.txt) of the CC0 Public Domain Dedication -// along with this software. If not, see . -//============================================================================================== #include "rtweekend.h" @@ -26,35 +16,35 @@ class pdf { }; -class cosine_pdf : public pdf { +class sphere_pdf : public pdf { public: - cosine_pdf(const vec3& w) { uvw.build_from_w(w); } + sphere_pdf() {} double value(const vec3& direction) const override { - auto cosine_theta = dot(unit_vector(direction), uvw.w()); - return std::fmax(0, cosine_theta/pi); + return 1/ (4 * pi); } vec3 generate() const override { - return uvw.local(random_cosine_direction()); + return random_unit_vector(); } - - private: - onb uvw; }; -class sphere_pdf : public pdf { +class cosine_pdf : public pdf { public: - sphere_pdf() {} + cosine_pdf(const vec3& w) { uvw.build_from_w(w); } double value(const vec3& direction) const override { - return 1/ (4 * pi); + auto cosine_theta = dot(unit_vector(direction), uvw.w()); + return std::fmax(0, cosine_theta/pi); } vec3 generate() const override { - return random_unit_vector(); + return uvw.local(random_cosine_direction()); } + + private: + onb uvw; }; diff --git a/src/TheRestOfYourLife/pi.cc b/src/TheRestOfYourLife/pi.cc index 714db06d..2e44ce74 100644 --- a/src/TheRestOfYourLife/pi.cc +++ b/src/TheRestOfYourLife/pi.cc @@ -13,10 +13,11 @@ #include #include -#include int main() { + std::cout << std::fixed << std::setprecision(12); + int inside_circle = 0; int inside_circle_stratified = 0; int sqrt_N = 1000; @@ -25,21 +26,19 @@ int main() { for (int j = 0; j < sqrt_N; j++) { auto x = random_double(-1,1); auto y = random_double(-1,1); - if (x*x + y*y < 1) inside_circle++; x = 2*((i + random_double()) / sqrt_N) - 1; y = 2*((j + random_double()) / sqrt_N) - 1; - if (x*x + y*y < 1) inside_circle_stratified++; } } - std::cout << std::fixed << std::setprecision(12); - std::cout << "Regular Estimate of Pi = " - << (4.0 * inside_circle) / (sqrt_N*sqrt_N) << '\n'; - std::cout << "Stratified Estimate of Pi = " + std::cout + << "Regular Estimate of Pi = " + << (4.0 * inside_circle) / (sqrt_N*sqrt_N) << '\n' + << "Stratified Estimate of Pi = " << (4.0 * inside_circle_stratified) / (sqrt_N*sqrt_N) << '\n'; } diff --git a/src/TheRestOfYourLife/quad.h b/src/TheRestOfYourLife/quad.h index f9565d6d..48ec931c 100644 --- a/src/TheRestOfYourLife/quad.h +++ b/src/TheRestOfYourLife/quad.h @@ -14,6 +14,7 @@ #include "hittable.h" #include "hittable_list.h" + class quad : public hittable { public: quad(const point3& Q, const vec3& u, const vec3& v, shared_ptr mat) diff --git a/src/TheRestOfYourLife/rtweekend.h b/src/TheRestOfYourLife/rtweekend.h index 52250318..41028b9d 100644 --- a/src/TheRestOfYourLife/rtweekend.h +++ b/src/TheRestOfYourLife/rtweekend.h @@ -21,11 +21,13 @@ using std::make_shared; using std::shared_ptr; + // Constants const double infinity = std::numeric_limits::infinity(); const double pi = 3.1415926535897932385; + // Utility Functions inline double degrees_to_radians(double degrees) { @@ -47,6 +49,7 @@ inline int random_int(int min, int max) { return int(random_double(min, max+1)); } + // Common Headers #include "color.h" diff --git a/src/TheRestOfYourLife/sphere_importance.cc b/src/TheRestOfYourLife/sphere_importance.cc index b127fa8f..0930931f 100644 --- a/src/TheRestOfYourLife/sphere_importance.cc +++ b/src/TheRestOfYourLife/sphere_importance.cc @@ -13,8 +13,6 @@ #include #include -#include -#include double f(const vec3& d) { @@ -22,10 +20,12 @@ double f(const vec3& d) { return cosine_squared; } + double pdf(const vec3& d) { return 1 / (4*pi); } + int main() { int N = 1000000; auto sum = 0.0; diff --git a/src/TheRestOfYourLife/sphere_plot.cc b/src/TheRestOfYourLife/sphere_plot.cc index b9db5be4..3b754bc8 100644 --- a/src/TheRestOfYourLife/sphere_plot.cc +++ b/src/TheRestOfYourLife/sphere_plot.cc @@ -22,7 +22,6 @@ int main() { auto x = std::cos(2*pi*r1) * 2 * std::sqrt(r2*(1-r2)); auto y = std::sin(2*pi*r1) * 2 * std::sqrt(r2*(1-r2)); auto z = 1 - 2*r2; - std::cout << x << " " << y << " " << z << '\n'; } }

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