Initial commit
| 22 files changed, 27365 insertions(+), 0 deletions(-) | |||
|---|---|---|---|
| A | .gitattributes | +4 | -0 |
| A | .gitignore | +5 | -0 |
| A | README.md | +77 | -0 |
| A | assets/Cube.obj | +36 | -0 |
| A | assets/Duck.obj | +11161 | -0 |
| A | assets/Plane.obj | +15 | -0 |
| A | assets/Teapot.obj | +14385 | -0 |
| A | assets/Tri.obj | +9 | -0 |
| A | build_linux.sh | +56 | -0 |
| A | build_macos.sh | +56 | -0 |
| A | build_win32.bat | +81 | -0 |
| A | src/camera.cpp | +45 | -0 |
| A | src/camera.hpp | +16 | -0 |
| A | src/clip.cpp | +140 | -0 |
| A | src/clip.hpp | +25 | -0 |
| A | src/draw.cpp | +204 | -0 |
| A | src/draw.hpp | +16 | -0 |
| A | src/math.hpp | +349 | -0 |
| A | src/mesh.cpp | +73 | -0 |
| A | src/mesh.hpp | +40 | -0 |
| A | src/renderer.cpp | +519 | -0 |
| A | src/renderer.hpp | +53 | -0 |
1@@ -0,0 +1,4 @@
2+* text eol=lf
3+*.bat text eol=crlf
4+*.ps1 text eol=crlf
5+*.sh text=auto eol=lf
1@@ -0,0 +1,5 @@
2+bin/
3+build/
4+notes/
5+external/
6+third-party/
1@@ -0,0 +1,77 @@
2+### Overview
3+
4+Interactive software rasterizer written in C++, just to grok some GPU pipeline rendering, associated graphics APIs and math. Attempts to do things more classically in the GPU way. Like a depth buffer instead of sorting, Pineda-style edge triangle rasterization, homogeneous clipping, and floating-point math instead of ints.
5+
6+- The rasterizer outputs to a color buffer that's blitted to the screen by `SDL_UpdateTexture()`.
7+
8+- Primitive assembly -> backface culling -> early near plane rejection -> frustum culling.
9+
10+- Clipping -> NDC and perspective -> depth test -> rasterize -> color buffer.
11+
12+- The math and the pipeline is handled internally. SDL handles window creation, input events and window surface updates.
13+
14+- Some clarity on conventions, this uses a right-handed Z-up coordinate system. So X+ is forward, Y- is right and Z+ is up. The math is all in row-major matrices and row vectors. So `v' = v \* m`.
15+
16+- Currently the scene is hardcoded, just some .obj files that are parsed and loaded at runtime. No textures as of right now.
17+
18+- There is some initial perspective correct interpolation. I've only validated it with debug textures/patterns seems to check out though.
19+
20+- Contains a free cam and mouselook, typical `[W][A][S][D]` and `[Q][E]` for +Z, -Z respectively.
21+
22+### Local setup
23+
24+Build script for each platform, acquiring SDL is skipped. `-r` for the release build.
25+
26+**Windows**
27+
28+```
29+.\build_win32.bat
30+```
31+
32+**Linux**
33+
34+```
35+./build_linux.sh
36+```
37+
38+**MacOS**
39+
40+```
41+./build_macos.sh
42+```
43+
44+`/assets` holds the meshes. Scene composition is handled manually in `initialize_scene()`.
45+
46+### To-do
47+
48+- Texture sampling
49+- Transparency and alpha blending
50+- Shading
51+- SIMD/Autovec
52+
53+### Resources
54+
55+- [OpenGL Specification](https://registry.khronos.org/OpenGL/specs/gl/glspec46.core.pdf)
56+
57+- [A trip through the Graphics Pipeline](https://fgiesen.wordpress.com/2011/07/09/a-trip-through-the-graphics-pipeline-2011-index/)
58+
59+- [Mathematics for 3D Game Programming and Computer Graphics, Third Edition](https://mathfor3dgameprogramming.com/)
60+
61+- [Clipping and culling overview](https://graphicscompendium.com/opengl/24-clipping-culling)
62+
63+- [Rasterization Overview](https://www.scratchapixel.com/lessons/3d-basic-rendering/rasterization-practical-implementation/overview-rasterization-algorithm.html)
64+
65+- [3D Clipping in Homogeneous Coordinates](https://chaosinmotion.com/2016/05/22/3d-clipping-in-homogeneous-coordinates/)
66+
67+- [Polygon Codec/Homogeneous clipping](https://fabiensanglard.net/polygon_codec/)
68+
69+- **Homogeneous Clipping** [Clipping using homogeneous coordinates (1978)](https://dl.acm.org/doi/pdf/10.1145/965139.807398)
70+
71+- [Perspective-Correct Interpolation](https://andrewkchan.dev/posts/perspective-interpolation.html)
72+
73+- [Bresenham's line algorithm](https://wikipedia.org/wiki/Bresenham%27s_line_algorithm)
74+
75+- [Sutherland–Hodgman algorithm](https://wikipedia.org/wiki/Sutherland%E2%80%93Hodgman_algorithm)
76+
77+- **Pineda Rasterization**: [A Parallel Algorithm for Polygon Rasterization (1988)](https://www.cs.drexel.edu/~deb39/Classes/Papers/comp175-06-pineda.pdf)
78+
1@@ -0,0 +1,36 @@
2+# Blender 4.5.3 LTS
3+# www.blender.org
4+mtllib Cube.mtl
5+o cube
6+v 0.500000 0.500000 0.500000
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8+v -0.500000 -0.500000 0.500000
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12+v -0.500000 -0.500000 -0.500000
13+v 0.500000 -0.500000 -0.500000
14+vn -0.0000 -0.0000 1.0000
15+vn -0.0000 1.0000 -0.0000
16+vn -0.0000 -1.0000 -0.0000
17+vn 1.0000 -0.0000 -0.0000
18+vn -1.0000 -0.0000 -0.0000
19+vn -0.0000 -0.0000 -1.0000
20+vt 0.000000 1.000000
21+vt 0.000000 0.000000
22+vt 1.000000 0.000000
23+vt 1.000000 1.000000
24+s 1
25+usemtl default
26+f 1/1/1 2/2/1 3/3/1
27+f 1/1/1 3/3/1 4/4/1
28+f 1/1/2 5/2/2 6/3/2
29+f 1/1/2 6/3/2 2/4/2
30+f 3/1/3 7/2/3 8/3/3
31+f 3/1/3 8/3/3 4/4/3
32+f 4/1/4 8/2/4 5/3/4
33+f 4/1/4 5/3/4 1/4/4
34+f 2/1/5 6/2/5 7/3/5
35+f 2/1/5 7/3/5 3/4/5
36+f 6/1/6 5/2/6 8/3/6
37+f 6/1/6 8/3/6 7/4/6
1@@ -0,0 +1,11161 @@
2+# Blender 4.5.1 LTS
3+# www.blender.org
4+mtllib duck.mtl
5+o LOD3spShape
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1@@ -0,0 +1,9 @@
2+# Blender 4.5.1 LTS
3+# www.blender.org
4+o tri
5+v 0.000000 0.000000 0.000000
6+v 0.000000 -1.000000 0.000000
7+v 0.000000 0.000000 1.000000
8+vn -1.0000 -0.0000 -0.0000
9+s 0
10+f 1//1 2//1 3//1
1@@ -0,0 +1,56 @@
2+#!/bin/bash
3+set -e
4+
5+ROOT="$(dirname "$(realpath "$0")")"
6+SRC_FILES="src/*.cpp"
7+
8+# =====================
9+# ==== Parse flags ====
10+# =====================
11+for arg in "$@"; do
12+ if [[ "$arg" == "-r" ]]; then
13+ BUILD="Release"
14+ fi
15+done
16+
17+
18+# ===================
19+# === Directories ===
20+# ===================
21+mkdir -p build
22+# mkdir -p external
23+
24+
25+# ====================
26+# === Dependencies ===
27+# ====================
28+# sudo apt install libsdl2-dev
29+# sudo dnf install SDL2-devel
30+SDL_CFLAGS=$(sdl2-config --cflags)
31+SDL_LDFLAGS=$(sdl2-config --libs)
32+
33+
34+# =========================
35+# === Compilation Flags ===
36+# =========================
37+if [ "$BUILD" == "Release" ]; then
38+ CFLAGS="-std=c++20 -O2"
39+ LFLAGS=""
40+else
41+ CFLAGS="-std=c++20 -g -O0"
42+ LFLAGS=""
43+fi
44+
45+
46+# ===================
47+# === Compilation ===
48+# ===================
49+pushd build > /dev/null
50+g++ \
51+ $CFLAGS \
52+ $SDL_CFLAGS \
53+ $ROOT/$SRC_FILES \
54+ $LFLAGS \
55+ $SDL_LDFLAGS \
56+ -o renderer
57+popd > /dev/null
1@@ -0,0 +1,56 @@
2+#!/bin/bash
3+set -e
4+
5+ROOT="$(dirname "$(realpath "$0")")"
6+SRC_FILES="src/*.cpp"
7+
8+# =====================
9+# ==== Parse flags ====
10+# =====================
11+for arg in "$@"; do
12+ if [[ "$arg" == "-r" ]]; then
13+ BUILD="Release"
14+ fi
15+done
16+
17+
18+# ===================
19+# === Directories ===
20+# ===================
21+[ ! -d "build" ] && mkdir build
22+#[ ! -d "external" ] && mkdir external
23+
24+
25+# ====================
26+# === Dependencies ===
27+# ====================
28+# brew sdl2
29+SDL_CFLAGS=$(sdl2-config --cflags)
30+SDL_LDFLAGS=$(sdl2-config --libs)
31+
32+
33+# =========================
34+# === Compilation Flags ===
35+# =========================
36+if [ "$BUILD" == "Release" ]; then
37+ CFLAGS="-std=c++20 -O2 -o renderer"
38+ LFLAGS=""
39+else
40+ CFLAGS="-std=c++20 -g -O0 -o renderer"
41+ LFLAGS=""
42+fi
43+
44+
45+# ===================
46+# === Compilation ===
47+# ===================
48+#clang++ $CFLAGS $SDL_CFLAGS "$SRC_FILES" -o "$" $SDL_LDFLAGS
49+
50+pushd build > /dev/null
51+clang++ \
52+ $CFLAGS \
53+ $SDL_CFLAGS \
54+ $ROOT/$SRC_FILES \
55+ $LFLAGS \
56+ $SDL_LDFLAGS
57+popd > /dev/null
1@@ -0,0 +1,81 @@
2+echo off
3+setlocal enabledelayedexpansion
4+
5+set ROOT=%~dp0
6+::set SRC_FILES=src\renderer.cpp
7+set SRC_FILES=%ROOT%src\*.cpp
8+
9+
10+:: =====================
11+:: ==== Parse flags ====
12+:: =====================
13+for %%A in (%*) do (
14+ if /I "%%~A"=="-r" set "BUILD=Release"
15+)
16+
17+
18+:: =====================
19+:: === MSVC Nonsense ===
20+:: =====================
21+for /f "usebackq tokens=*" %%i in (`"%ProgramFiles(x86)%\Microsoft Visual Studio\Installer\vswhere.exe" -latest -property installationPath`) do (
22+ set "VS_PATH=%%i"
23+)
24+if defined VS_PATH (
25+ call "%VS_PATH%\VC\Auxiliary\Build\vcvarsall.bat" x64
26+) else (
27+ echo ERROR: Visual Studio installation not found.
28+ exit /b 1
29+)
30+
31+
32+:: ===================
33+:: === Directories ===
34+:: ===================
35+if not exist build mkdir build
36+if not exist external mkdir external
37+
38+
39+:: ====================
40+:: === Dependencies ===
41+:: ====================
42+
43+:: https://github.com/libsdl-org/SDL/releases/download/release-2.32.10/SDL2-devel-2.32.10-VC.zip
44+if not exist external\SDL (
45+ echo ERROR: %ROOT%external\SDL\ missing.
46+ exit /b 1
47+)
48+
49+:: =========================
50+:: === Compilation Flags ===
51+:: =========================
52+
53+:: /permissive- not really needed with "/std:c++20?"
54+:: /arch:AVX2 /arch:AVX512
55+:: /fp:fast /
56+:: comp: /GL, link: /LTCG
57+if "%BUILD%"=="Release" (
58+ set CFLAGS=/std:c++20 /O2 /Oi /GR- /EHsc /permissive- /Fe:renderer.exe
59+ set LFLAGS=/SUBSYSTEM:WINDOWS
60+) else (
61+ set CFLAGS=/std:c++20 /W4 /permissive- /Od /ZI /EHsc /Fe:renderer.exe
62+ set LFLAGS=/SUBSYSTEM:CONSOLE /DEBUG
63+)
64+
65+
66+:: ===================
67+:: === Compilation ===
68+:: ===================
69+pushd build
70+cl %CFLAGS% ^
71+ /I %ROOT%external\SDL\include %SRC_FILES% ^
72+ /link %LFLAGS% ^
73+ shell32.lib ^
74+ %ROOT%external\SDL\lib\x64\SDL2main.lib ^
75+ %ROOT%external\SDL\lib\x64\SDL2.lib
76+popd
77+
78+
79+:: ========================
80+:: === Post compilation ===
81+:: ========================
82+copy /Y %ROOT%external\SDL\lib\x64\SDL2.dll build\ >nul
1@@ -0,0 +1,45 @@
2+#include "camera.hpp"
3+
4+#include "math.hpp"
5+#include "renderer.hpp"
6+
7+Mat4 perspective(float fov, float aspect, float near_plane, float far_plane) {
8+ // far + near / far - near 0 0 -(2.0f * far * near)/ far - near) \\
9+ // 0 near_plane / right 0 0 \\
10+ // 0 0 near_plane / top 0 \\
11+ // 1.0f 0 0 0 \\
12+
13+ Mat4 r = Mat4::zeroed();
14+
15+ float top = near_plane * tan(fov * 0.5f);
16+ float right = top * aspect;
17+
18+ // X = depth
19+ r.m[0][0] = (far_plane + near_plane) / (far_plane - near_plane);
20+ r.m[0][3] = 1.0f; // w row
21+ r.m[3][0] = -(2.0f * far_plane * near_plane) / (far_plane - near_plane);
22+ // Y = Right
23+ r.m[1][1] = near_plane / right;
24+ // Z = up
25+ r.m[2][2] = near_plane / top;
26+
27+ return r;
28+};
29+
30+Mat4 lookAt(Camera *camera) {
31+ vec3f f = camera->forward;
32+ vec3f r = camera->right;
33+ vec3f u = camera->up;
34+ vec3f p = camera->position;
35+
36+ Mat4 view = Mat4::identity();
37+ // mind the transpose here since its a complete inverse
38+ view = {
39+ {{f.x, r.x, u.x, 0.0}, // X+ forward row
40+ {f.y, r.y, u.y, 0.0}, // Y- right row
41+ {f.z, r.z, u.z, 0.0}, // Z+ up row
42+ {-(f.dot(p)), -(r.dot(p)), -(u.dot(p)), 1.0f}} // negate cam world pos translateions
43+ };
44+
45+ return view;
46+};
1@@ -0,0 +1,16 @@
2+#pragma once
3+
4+#include "math.hpp"
5+
6+struct Camera {
7+ vec3f position;
8+ vec3f forward;
9+ vec3f right;
10+ vec3f up;
11+ float pitch;
12+ float yaw;
13+};
14+
15+Mat4 perspective(float fov, float aspect, float near_plane, float far_plane);
16+
17+Mat4 lookAt(Camera *camera);
1@@ -0,0 +1,140 @@
2+#include "clip.hpp"
3+
4+#include <cmath>
5+#include <vector>
6+
7+#include "math.hpp"
8+
9+using std::vector;
10+
11+// canonical view volume
12+float plane_x_min(const vec4f &v) {
13+ return v.w + v.x; // x >= -w
14+}
15+float plane_x_max(const vec4f &v) {
16+ return v.w - v.x; // x <= w
17+}
18+float plane_y_min(const vec4f &v) {
19+ return v.w + v.y; // y >= -w
20+}
21+float plane_y_max(const vec4f &v) {
22+ return v.w - v.y; // y <= w
23+}
24+float plane_z_min(const vec4f &v) {
25+ return v.w + v.z; // z >= -w
26+}
27+float plane_z_max(const vec4f &v) {
28+ return v.w - v.z; // z <= w
29+}
30+
31+// dead simple helpers to handle basic floating point precision on pushing
32+inline bool almost_same(const vec4f &a, const vec4f &b, float eps = 1e-6f) {
33+ return fabs(a.x - b.x) < eps &&
34+ fabs(a.y - b.y) < eps &&
35+ fabs(a.z - b.z) < eps &&
36+ fabs(a.w - b.w) < eps;
37+}
38+
39+inline void push_unique(vector<ClipVertex> &out, const ClipVertex &v) {
40+ if (out.empty() || !almost_same(out.back().pos, v.pos)) {
41+ out.push_back(v);
42+ }
43+}
44+
45+ClipVertex lerp_vert(const ClipVertex &a, const ClipVertex &b, float t) {
46+ ClipVertex result;
47+
48+ result.pos = vec4f_lerp(a.pos, b.pos, t);
49+
50+ float a_w = a.pos.w;
51+ float b_w = b.pos.w;
52+ float result_w = result.pos.w;
53+
54+ result.color = vec3f_lerp(a.color, b.color, t);
55+ result.uv = vec2f_lerp(a.uv, b.uv, t);
56+ result.normal = vec3f_lerp(a.normal, b.normal, t);
57+ return result;
58+}
59+
60+vector<ClipVertex> clip_against_plane(
61+ const vector<ClipVertex> &polygon_in, float (*plane_dist)(const vec4f &)
62+) {
63+ vector<ClipVertex> clipped_polygon;
64+ if (polygon_in.empty()) {
65+ return clipped_polygon;
66+ }
67+
68+ // prev vertex and distance to compare against
69+ ClipVertex prev_vert = polygon_in.back();
70+ float prev_dist = plane_dist(prev_vert.pos);
71+ bool prev_inside = (prev_dist >= 0.0f);
72+
73+ // loop over each vertex to compare
74+ for (size_t i = 0; i < polygon_in.size(); ++i) {
75+ const ClipVertex &curr_vert = polygon_in[i];
76+ float curr_dist = plane_dist(curr_vert.pos);
77+ bool curr_inside = (curr_dist >= 0.0f);
78+
79+ // case 1: both prev and curr are inside the plane
80+ // so the curr vertex also gets added to the new clipped polygon
81+ // notes/clipping/9
82+ if (prev_inside && curr_inside) {
83+ push_unique(clipped_polygon, curr_vert);
84+ }
85+
86+ // case 2: either vertex ends up inside while the other is outside the plane
87+ // time to create a new vert on the intersection and add it to the new polygon
88+ else if (prev_inside != curr_inside) {
89+ float dist_difference = prev_dist - curr_dist;
90+ float edge_interpolation_factor = prev_dist / (dist_difference);
91+ ClipVertex intersect_vert = lerp_vert(prev_vert, curr_vert, edge_interpolation_factor);
92+ push_unique(clipped_polygon, intersect_vert);
93+
94+ // case 3 (more like case 2.5): If the curr vertex is also already inside
95+ // safely add it to the clipped polygon
96+ // notes/clipping/10
97+ if (curr_inside) {
98+ push_unique(clipped_polygon, curr_vert);
99+ }
100+ }
101+
102+ // update prev_vert for the next iter
103+ prev_vert = curr_vert;
104+ prev_dist = curr_dist;
105+ prev_inside = curr_inside;
106+ }
107+
108+ return clipped_polygon;
109+}
110+
111+// Clip space/Sutherland–Hodgman/Homogeneous clipping
112+// clipping any polygon to the canonical view volume: -w <= x,y,z <= w.
113+vector<ClipVertex> clip_polygon_with_attrs(
114+ vec4f *clip_positions,
115+ vec2f *input_uv,
116+ vec3f input_color,
117+ vec3f input_normal
118+) {
119+ vector<ClipVertex> clipped_vertices;
120+ clipped_vertices.reserve(3);
121+
122+ for (int i = 0; i < 3; ++i) {
123+ ClipVertex cv;
124+ cv.pos = clip_positions[i];
125+ cv.uv = input_uv[i];
126+ cv.color = input_color;
127+ cv.normal = input_normal;
128+ clipped_vertices.push_back(cv);
129+ }
130+
131+ clipped_vertices = clip_against_plane(clipped_vertices, plane_x_min);
132+ clipped_vertices = clip_against_plane(clipped_vertices, plane_x_max);
133+
134+ clipped_vertices = clip_against_plane(clipped_vertices, plane_y_min);
135+ clipped_vertices = clip_against_plane(clipped_vertices, plane_y_max);
136+
137+ clipped_vertices = clip_against_plane(clipped_vertices, plane_z_min);
138+ clipped_vertices = clip_against_plane(clipped_vertices, plane_z_max);
139+
140+ return clipped_vertices; // could be empty if triangle fully outside
141+}
1@@ -0,0 +1,25 @@
2+#include <vector>
3+
4+#include "math.hpp"
5+
6+using std::vector;
7+
8+struct ClipVertex {
9+ vec4f pos;
10+ vec3f color;
11+ vec3f normal;
12+ vec2f uv;
13+ float inv_w;
14+};
15+
16+// canonical view volume
17+float plane_x_min(const vec4f &v);
18+float plane_x_max(const vec4f &v);
19+float plane_y_min(const vec4f &v);
20+float plane_y_max(const vec4f &v);
21+float plane_z_min(const vec4f &v);
22+float plane_z_max(const vec4f &v);
23+
24+vector<ClipVertex> clip_polygon_with_attrs(
25+ vec4f *clip_positions, vec2f *input_uv, vec3f input_color, vec3f input_normal
26+);
1@@ -0,0 +1,204 @@
2+#include "draw.hpp"
3+
4+#include "math.hpp"
5+
6+static inline u32 vec3_to_u32RGBA(vec3f &c) {
7+ u8 r = (u8)(c.x * 255.0f);
8+ u8 g = (u8)(c.y * 255.0f);
9+ u8 b = (u8)(c.z * 255.0f);
10+ u8 a = 255;
11+
12+ u32 final_color = (r << 24) | (g << 16) | (b << 8) | a;
13+ return final_color;
14+};
15+
16+void clear_color_buffer(u32 color, Window *window) {
17+ for (int i = 0; i < window->width * window->height; i++) {
18+ window->back_buffer[i] = color;
19+ };
20+};
21+
22+// (0,0) bottom left, screen space origin
23+// Y- in NDC is X+ in screen space
24+// Z+ in NDC is Y+ in screen space
25+static inline void draw_pixel(int x, int y, u32 color, Window *window) {
26+ if (x >= 0 && x < window->width && y >= 0 && y < window->height) {
27+ int flipped_y = (window->height - 1) - y;
28+ window->back_buffer[(window->width * flipped_y) + x] = color;
29+ };
30+};
31+
32+void draw_rect(int x, int y, int width, int height, u32 color, Window *window) {
33+ for (int i = 0; i < height; i++) {
34+ for (int j = 0; j < width; j++) {
35+ int offset_x = x + j;
36+ int offset_y = y - i;
37+ draw_pixel(offset_x, offset_y, color, window);
38+ };
39+ };
40+};
41+
42+void draw_line_grid(u32 color, Window *window, u8 spacing = 10) {
43+ for (int y = 0; y < window->height; y++) {
44+ for (int x = 0; x < window->width; x++) {
45+ if (x % spacing == 0 || y % spacing == 0) {
46+ draw_pixel(x, y, color, window);
47+ };
48+ };
49+ };
50+};
51+
52+// Bresenham's Line Algorithm
53+// https://wikipedia.org/wiki/Bresenham's_line_algorithm
54+// TODO: Wu's whenever I add pure primitives toggling
55+void draw_line(int x0, int y0, int x1, int y1, u32 color, Window *window) {
56+ // differences
57+ int delta_x = (x1 > x0) ? (x1 - x0) : (x0 - x1);
58+ int delta_y = (y1 > y0) ? (y1 - y0) : (y0 - y1);
59+ // direction
60+ int step_x = (x0 < x1) ? 1 : -1;
61+ int step_y = (y0 < y1) ? 1 : -1;
62+ // error term, to adjust direction
63+ int error_calib = delta_x - delta_y;
64+
65+ while (1) {
66+ draw_pixel(x0, y0, color, window);
67+ if (x0 == x1 && y0 == y1) {
68+ break;
69+ }
70+ int error_double = 2 * error_calib;
71+ if (error_double > -delta_y) {
72+ error_calib -= delta_y;
73+ x0 += step_x;
74+ }
75+ if (error_double < delta_x) {
76+ error_calib += delta_x;
77+ y0 += step_y;
78+ };
79+ };
80+};
81+
82+void process_fragment(int x, int y, float pixel_depth, u32 pixel_color, Window *window) {
83+ int buffer_idx = (window->width * y) + x;
84+ float current_depth_at_pixel = window->depth_buffer[buffer_idx];
85+ if (pixel_depth < current_depth_at_pixel) {
86+ window->depth_buffer[buffer_idx] = pixel_depth;
87+ draw_pixel(x, y, pixel_color, window);
88+ }
89+}
90+
91+void rasterize_triangle(ScreenTriangle *tri, Window *window) {
92+ vec3f v0 = tri->points[0];
93+ vec3f v1 = tri->points[1];
94+ vec3f v2 = tri->points[2];
95+
96+ float inv_w0 = tri->inv_w[0];
97+ float inv_w1 = tri->inv_w[1];
98+ float inv_w2 = tri->inv_w[2];
99+
100+ vec3f c0 = tri->color_over_w[0];
101+ vec3f c1 = tri->color_over_w[1];
102+ vec3f c2 = tri->color_over_w[2];
103+
104+ float ndc_depth0 = tri->ndc_depth[0];
105+ float ndc_depth1 = tri->ndc_depth[1];
106+ float ndc_depth2 = tri->ndc_depth[2];
107+
108+ vec2f uv_over_w0 = tri->uv_over_w[0];
109+ vec2f uv_over_w1 = tri->uv_over_w[1];
110+ vec2f uv_over_w2 = tri->uv_over_w[2];
111+
112+ // bounding box (expensive fmin, fmax here I think)
113+ float minX_f = fmin(v0.x, fmin(v1.x, v2.x));
114+ float minY_f = fmin(v0.y, fmin(v1.y, v2.y));
115+ float maxX_f = fmax(v0.x, fmax(v1.x, v2.x));
116+ float maxY_f = fmax(v0.y, fmax(v1.y, v2.y));
117+
118+ minX_f = fmax(0.0f, minX_f);
119+ minY_f = fmax(0.0f, minY_f);
120+ maxX_f = fmin(static_cast<float>(window->width - 1), maxX_f);
121+ maxY_f = fmin(static_cast<float>(window->height - 1), maxY_f);
122+
123+ int minX = static_cast<int>(floor(minX_f));
124+ int minY = static_cast<int>(floor(minY_f));
125+ int maxX = static_cast<int>(ceil(maxX_f));
126+ int maxY = static_cast<int>(ceil(maxY_f));
127+
128+ // edge coefficients (dY, -dX) pineda-style rasterization
129+ float dX01 = v0.x - v1.x; // delta X (v0 to v1)
130+ float dY01 = v0.y - v1.y; // delta Y (v0 to v1)
131+ float dX12 = v1.x - v2.x; // delta X (v1 to v2)
132+ float dY12 = v1.y - v2.y; // delta Y (v1 to v2)
133+ float dX20 = v2.x - v0.x; // delta X (v2 to v0)
134+ float dY20 = v2.y - v0.y; // delta Y (v2 to v0)
135+
136+ float triangleArea = (v1.y - v2.y) * (v0.x - v2.x) + (v2.x - v1.x) * (v0.y - v2.y);
137+ if (fabs(triangleArea) < 1e-6f) { // degen triangle
138+ return;
139+ }
140+ float invArea = 1.0f / triangleArea;
141+
142+ // center of the top-left pixel in the bounding box
143+ vec2f pixel_start = {(float)minX + 0.5f, (float)minY + 0.5f};
144+
145+ // initial edge function (A0, B0, G0) for pixel_start
146+ float E0 = (v1.y - v2.y) * (pixel_start.x - v2.x) + (v2.x - v1.x) * (pixel_start.y - v2.y);
147+ float E1 = (v2.y - v0.y) * (pixel_start.x - v0.x) + (v0.x - v2.x) * (pixel_start.y - v0.y);
148+ float E2 = (v0.y - v1.y) * (pixel_start.x - v1.x) + (v1.x - v0.x) * (pixel_start.y - v1.y);
149+
150+ // x delta step (move right one pixel)
151+ float stepX0 = dY12;
152+ float stepX1 = dY20;
153+ float stepX2 = dY01;
154+
155+ // y delta step (move down one row)
156+ float stepY0 = dX12;
157+ float stepY1 = dX20;
158+ float stepY2 = dX01;
159+
160+ float E0_row = E0;
161+ float E1_row = E1;
162+ float E2_row = E2;
163+
164+ for (int y = minY; y <= maxY; ++y) {
165+ // reset
166+ E0 = E0_row;
167+ E1 = E1_row;
168+ E2 = E2_row;
169+
170+ // inside tri
171+ for (int x = minX; x <= maxX; ++x) {
172+ if (E0 >= 0.0f && E1 >= 0.0f && E2 >= 0.0f) {
173+ // barycentric coords
174+ float alpha = E0 * invArea;
175+ float beta = E1 * invArea;
176+ float gamma = E2 * invArea;
177+
178+ // lerp the attribute accross the triangle's barycentric coords
179+ float lerp_inv_w = alpha * inv_w0 + beta * inv_w1 + gamma * inv_w2;
180+ float lerp_depth = alpha * ndc_depth0 + beta * ndc_depth1 + gamma * ndc_depth2;
181+ vec2f lerp_uv = uv_over_w0 * alpha + uv_over_w1 * beta + uv_over_w2 * gamma;
182+ vec3f lerped_color = alpha * c0 + beta * c1 + gamma * c2; // TODO: not needed, sample a texture by lerp_uv here
183+
184+ vec3f color = lerped_color / lerp_inv_w;
185+ u32 u32_color = vec3_to_u32RGBA(color);
186+ vec2f uv = lerp_uv / lerp_inv_w;
187+
188+ process_fragment(x, y, lerp_depth, u32_color, window);
189+ }
190+
191+ // increment edge functions
192+ // advance right one pixel: x -> x + 1
193+ E0 += stepX0;
194+ E1 += stepX1;
195+ E2 += stepX2;
196+ }
197+
198+ // increment edge functions
199+ // advance one row: y -> y + 1
200+ // NOTE: Edge stepping for Y is subtraction since we start a triangle at top left (0, 0)
201+ E0_row -= stepY0;
202+ E1_row -= stepY1;
203+ E2_row -= stepY2;
204+ }
205+}
1@@ -0,0 +1,16 @@
2+#pragma once
3+
4+#include "math.hpp"
5+
6+struct ScreenTriangle {
7+ vec3f points[3];
8+ vec2f uv_over_w[3];
9+ vec3f color_over_w[3];
10+ float inv_w[3];
11+ float ndc_depth[3];
12+};
13+
14+void clear_color_buffer(u32 color, Window *window);
15+void draw_line_grid(u32 color, Window *window, u8 spacing);
16+void draw_line(int x0, int y0, int x1, int y1, u32 color, Window *window);
17+void rasterize_triangle(ScreenTriangle *tri, Window *window);
1@@ -0,0 +1,349 @@
2+#pragma once
3+#include <cmath>
4+
5+#include "renderer.hpp"
6+
7+typedef struct Vec2f {
8+ union {
9+ struct {
10+ float x, y;
11+ };
12+ struct {
13+ float u, v;
14+ };
15+ };
16+
17+ Vec2f() : x(0.0f), y(0.0f) {};
18+
19+ Vec2f(float x_, float y_) {
20+ x = x_;
21+ y = y_;
22+ }
23+
24+ Vec2f operator+(const Vec2f &other) const {
25+ return Vec2f(x + other.x, y + other.y);
26+ }
27+
28+ Vec2f operator-(const Vec2f &other) const {
29+ return Vec2f(x - other.x, y - other.y);
30+ }
31+
32+ Vec2f operator*(float s) const {
33+ return Vec2f(x * s, y * s);
34+ }
35+
36+ Vec2f operator/(float s) const {
37+ if (s != 0.0f) {
38+ return Vec2f(x / s, y / s);
39+ }
40+ return Vec2f();
41+ }
42+
43+ Vec2f normalized() const {
44+ float len = length();
45+ return (len > 0) ? (*this * (1.0f / len)) : Vec2f();
46+ }
47+
48+ float dot(const Vec2f &other) const {
49+ return x * other.x + y * other.y;
50+ }
51+
52+ float length() const {
53+ return sqrtf(x * x + y * y);
54+ }
55+
56+} vec2f;
57+
58+typedef struct Vec3f {
59+ union {
60+ struct {
61+ float x, y, z;
62+ };
63+ struct {
64+ float r, g, b;
65+ };
66+ };
67+
68+ Vec3f() : x(0.0f), y(0.0f), z(0.0f) {};
69+
70+ Vec3f(float x_, float y_, float z_) {
71+ x = x_;
72+ y = y_;
73+ z = z_;
74+ }
75+
76+ Vec3f operator+(const Vec3f &o) const {
77+ return Vec3f(x + o.x, y + o.y, z + o.z);
78+ }
79+
80+ Vec3f operator-(const Vec3f &o) const {
81+ return Vec3f(x - o.x, y - o.y, z - o.z);
82+ }
83+
84+ Vec3f operator*(float s) const {
85+ return Vec3f(x * s, y * s, z * s);
86+ }
87+
88+ Vec3f operator/(float s) const {
89+ if (s != 0.0f) {
90+ return Vec3f(x / s, y / s, z / s);
91+ }
92+ return Vec3f();
93+ }
94+
95+ Vec3f normalized() const {
96+ float len = length();
97+ if (len > 0.0f) {
98+ return *this * (1.0f / len);
99+ }
100+ return Vec3f();
101+ }
102+
103+ float length() const {
104+ return sqrtf(x * x + y * y + z * z);
105+ }
106+
107+ Vec3f cross(const Vec3f &o) const {
108+ return Vec3f(y * o.z - z * o.y, z * o.x - x * o.z, x * o.y - y * o.x);
109+ }
110+
111+ float dot(const Vec3f &o) const {
112+ return x * o.x + y * o.y + z * o.z;
113+ }
114+
115+} vec3f;
116+
117+inline vec3f operator*(float s, const vec3f &v) {
118+ return {v.x * s, v.y * s, v.z * s};
119+}
120+
121+typedef struct Vec4f {
122+ float x = 0.0f;
123+ float y = 0.0f;
124+ float z = 0.0f;
125+ float w = 0.0f;
126+
127+ Vec4f() = default;
128+
129+ Vec4f(float x_, float y_, float z_, float w_) {
130+ x = x_;
131+ y = y_;
132+ z = z_;
133+ w = w_;
134+ }
135+
136+ // probably shouldn't be implicit? I like it though
137+ Vec4f(const vec3f &v, float w_ = 1.0f) {
138+ x = v.x;
139+ y = v.y;
140+ z = v.z;
141+ w = w_;
142+ }
143+
144+ Vec4f operator+(const Vec4f &o) const {
145+ return Vec4f(x + o.x, y + o.y, z + o.z, w + o.w);
146+ }
147+
148+ Vec4f operator*(float s) const {
149+ return Vec4f(x * s, y * s, z * s, w * s);
150+ }
151+
152+ Vec4f operator/(float s) const {
153+ return Vec4f(x / s, y / s, z / s, w / s);
154+ }
155+
156+ Vec4f operator-(const Vec4f &o) const {
157+ return Vec4f(x - o.x, y - o.y, z - o.z, w - o.w);
158+ }
159+
160+ inline Vec3f to_vec3() const {
161+ return vec3f(x, y, z);
162+ }
163+} vec4f;
164+
165+typedef struct Mat4 {
166+ // Row Major : m[row][col]
167+ //
168+ // Col0 Col1 Col2 Col3
169+ // |-----------|-----------|-----------|-----------|
170+ // Row0 | Xx | Xy | Xz | Xw |
171+ // Row1 | Yx | Yy | Yz | Yw |
172+ // Row2 | Zx | Zy | Zz | Zw |
173+ // Row3 | Wx | Wy | Wy | Ww |
174+ //
175+ // Flat memory order (16 floats):
176+ // Xx, Xy, Xz, Xw, Yx, Yy, Yz, Yw, Zx, Zy, Zz, Zw, Wx, Wy, Wz, Ww
177+
178+ float m[4][4];
179+
180+ static Mat4 zeroed() {
181+ // 0 0 0 0
182+ // 0 0 0 0
183+ // 0 0 0 0
184+ // 0 0 0 0
185+ Mat4 result;
186+ for (int i = 0; i < 4; ++i) {
187+ for (int j = 0; j < 4; ++j) {
188+ result.m[i][j] = 0.0f;
189+ }
190+ }
191+ return result;
192+ }
193+
194+ // 1 0 0 0
195+ // 0 1 0 0
196+ // 0 0 1 0
197+ // 0 0 0 1
198+ static Mat4 identity() {
199+ Mat4 result = Mat4::zeroed();
200+ for (int i = 0; i < 4; ++i) {
201+ result.m[i][i] = 1.0f;
202+ }
203+ return result;
204+ }
205+
206+ Mat4 operator*(const Mat4 &o) const {
207+ Mat4 r;
208+ for (int i = 0; i < 4; ++i) {
209+ for (int j = 0; j < 4; ++j) {
210+ float s = 0.0f;
211+ for (int k = 0; k < 4; ++k) {
212+ s += m[i][k] * o.m[k][j];
213+ }
214+ r.m[i][j] = s;
215+ }
216+ }
217+ return r;
218+ }
219+
220+ static Mat4 scale(float sx, float sy, float sz) {
221+ Mat4 r = Mat4::identity();
222+ // sx 0 0 0
223+ // 0 sy 0 0
224+ // 0 0 sz 0
225+ // 0 0 0 1
226+ r.m[0][0] = sx;
227+ r.m[1][1] = sy;
228+ r.m[2][2] = sz;
229+ return r;
230+ }
231+
232+ static Mat4 translate(float tx, float ty, float tz) {
233+ Mat4 r = Mat4::identity();
234+ // 1 0 0 0
235+ // 0 1 0 0
236+ // 0 0 1 0
237+ // tx ty tz 1
238+ r.m[3][0] = tx;
239+ r.m[3][1] = ty;
240+ r.m[3][2] = tz;
241+ return r;
242+ }
243+
244+ static Mat4 rotation_x(float a) {
245+ Mat4 r = Mat4::identity();
246+ // 0 0 0 0 // x axis
247+ // 0 cosf(a) -sinf(a) 0 // y axis
248+ // 0 cosf(a) cosf(a) 0 // z axis
249+ // 0 0 0 1
250+ r.m[1][1] = cosf(a);
251+ r.m[1][2] = sinf(a);
252+ r.m[2][1] = -sinf(a);
253+ r.m[2][2] = cosf(a);
254+ return r;
255+ }
256+
257+ static Mat4 rotation_y(float a) {
258+ Mat4 r = Mat4::identity();
259+ // cosf(a) 0 -sinf(a) 0 // x axis
260+ // 0 0 0 0 // y axis
261+ // sinf(a) 0 cosf(a) 0 // z axis
262+ // 0 0 0 1
263+
264+ r.m[0][0] = cosf(a);
265+ r.m[0][2] = -sinf(a);
266+ r.m[2][0] = sinf(a);
267+ r.m[2][2] = cosf(a);
268+ return r;
269+ }
270+
271+ static Mat4 rotation_z(float a) {
272+ // cosf(a) sinf(a) 0 0 // x axis
273+ // -sinf(a) cosf(a) 0 0 // y axis
274+ // 0 0 1 0 // z axis (lock)
275+ // 0 0 0 1
276+ Mat4 r = Mat4::identity();
277+ r.m[0][0] = cosf(a);
278+ r.m[0][1] = sinf(a);
279+ r.m[1][0] = -sinf(a);
280+ r.m[1][1] = cosf(a);
281+ return r;
282+ }
283+
284+ // Build a 4x4 rotation matrix around an arbitrary axis
285+ static Mat4 rotation_axis(const vec3f &axis, float angle_rad) {
286+ vec3f k = axis.normalized();
287+ float c = cosf(angle_rad);
288+ float s = sinf(angle_rad);
289+ float t = 1.0f - c;
290+
291+ float kx = k.x, ky = k.y, kz = k.z;
292+
293+ Mat4 R;
294+ R.m[0][0] = t * kx * kx + c;
295+ R.m[0][1] = t * kx * ky - s * kz;
296+ R.m[0][2] = t * kx * kz + s * ky;
297+ R.m[0][3] = 0.0f;
298+ // row 1
299+ R.m[1][0] = t * kx * ky + s * kz;
300+ R.m[1][1] = t * ky * ky + c;
301+ R.m[1][2] = t * ky * kz - s * kx;
302+ R.m[1][3] = 0.0f;
303+ // row 2
304+ R.m[2][0] = t * kx * kz - s * ky;
305+ R.m[2][1] = t * ky * kz + s * kx;
306+ R.m[2][2] = t * kz * kz + c;
307+ R.m[2][3] = 0.0f;
308+ // row 3
309+ R.m[3][0] = 0.0f;
310+ R.m[3][1] = 0.0f;
311+ R.m[3][2] = 0.0f;
312+ R.m[3][3] = 1.0f;
313+ return R;
314+ }
315+
316+ void transpose() {
317+ for (int i = 0; i < 4; ++i)
318+ for (int j = i + 1; j < 4; ++j) {
319+ float tmp = m[i][j];
320+ m[i][j] = m[j][i];
321+ m[j][i] = tmp;
322+ }
323+ }
324+} mat4;
325+
326+static inline vec4f operator*(const vec4f &v, const mat4 &m) {
327+ return vec4f(
328+ v.x * m.m[0][0] + v.y * m.m[1][0] + v.z * m.m[2][0] + v.w * m.m[3][0],
329+ v.x * m.m[0][1] + v.y * m.m[1][1] + v.z * m.m[2][1] + v.w * m.m[3][1],
330+ v.x * m.m[0][2] + v.y * m.m[1][2] + v.z * m.m[2][2] + v.w * m.m[3][2],
331+ v.x * m.m[0][3] + v.y * m.m[1][3] + v.z * m.m[2][3] + v.w * m.m[3][3]
332+ );
333+}
334+
335+static inline vec2f vec2f_lerp(const vec2f &a, const vec2f &b, float t) {
336+ return a * (1.0f - t) + b * t;
337+}
338+
339+static inline vec3f vec3f_lerp(const vec3f &a, const vec3f &b, float t) {
340+ return a * (1.0f - t) + b * t;
341+}
342+
343+static inline vec4f vec4f_lerp(const vec4f &a, const vec4f &b, float t) {
344+ return vec4f(
345+ a.x + (b.x - a.x) * t,
346+ a.y + (b.y - a.y) * t,
347+ a.z + (b.z - a.z) * t,
348+ a.w + (b.w - a.w) * t
349+ );
350+}
1@@ -0,0 +1,73 @@
2+#include "mesh.hpp"
3+
4+#include <stdio.h>
5+#include <stdlib.h>
6+#include <string.h>
7+
8+#include <vector>
9+
10+#include "math.hpp"
11+
12+using std::vector;
13+
14+Mesh parse_obj(const char *filename) {
15+ Mesh mesh;
16+
17+ FILE *file = fopen(filename, "r");
18+ if (!file) {
19+ printf("Failed to open file: %s\n", filename);
20+ return mesh;
21+ }
22+
23+ char line[1024];
24+ while (fgets(line, sizeof(line), file)) {
25+ if (strncmp(line, "#", 2) == 0 || strncmp(line, "\n", 2) == 0) {
26+ continue;
27+ }
28+ if (strncmp(line, "v ", 2) == 0) {
29+ vec3f v;
30+ sscanf(line, "v %f %f %f", &v.x, &v.y, &v.z);
31+ mesh.vertices.push_back(v);
32+ } else if (strncmp(line, "vt ", 3) == 0) {
33+ vec2f vt;
34+ sscanf(line, "vt %f %f", &vt.x, &vt.y);
35+ mesh.texcoords.push_back(vt);
36+ } else if (strncmp(line, "vn ", 3) == 0) {
37+ vec3f vn;
38+ sscanf(line, "vn %f %f %f", &vn.x, &vn.y, &vn.z);
39+ mesh.normals.push_back(vn);
40+ } else if (strncmp(line, "f ", 2) == 0) {
41+ char *face_token = strtok(line + 2, " \n\r");
42+ while (face_token) {
43+ Face idx = {0, 0, 0};
44+ int v = 0, vt = 0, vn = 0;
45+
46+ char *slash1 = strchr(face_token, '/');
47+ if (slash1) {
48+ *slash1 = '\0';
49+ v = atoi(face_token);
50+
51+ char *slash2 = strchr(slash1 + 1, '/');
52+ if (slash2) {
53+ *slash2 = '\0';
54+ vt = atoi(slash1 + 1);
55+ vn = atoi(slash2 + 1);
56+ } else {
57+ vt = atoi(slash1 + 1);
58+ }
59+ } else {
60+ v = atoi(face_token);
61+ }
62+
63+ if (v > 0) idx.vertex_idx = v - 1;
64+ if (vt > 0) idx.vertex_texture_idx = vt - 1;
65+ if (vn > 0) idx.vertex_normal_idx = vn - 1;
66+
67+ mesh.faces.push_back(idx);
68+ face_token = strtok(nullptr, " \n\r");
69+ }
70+ }
71+ }
72+ fclose(file);
73+ return mesh;
74+}
1@@ -0,0 +1,40 @@
2+#pragma once
3+
4+#include <vector>
5+
6+#include "math.hpp"
7+
8+using std::vector;
9+
10+struct Face {
11+ int vertex_idx;
12+ int vertex_texture_idx;
13+ int vertex_normal_idx;
14+};
15+
16+struct Transform {
17+ vec3f position{4.0, 0, 0};
18+ vec3f rotation{0, 0, 0};
19+ vec3f scale{1.0, 1.0, 1.0};
20+
21+ Mat4 model_matrix() const {
22+ Mat4 scale_matrix = Mat4::scale(scale.x, scale.y, scale.z);
23+ Mat4 rx = Mat4::rotation_x(rotation.x);
24+ Mat4 ry = Mat4::rotation_y(rotation.y);
25+ Mat4 rz = Mat4::rotation_z(rotation.z);
26+ Mat4 rotation_matrix = rx * ry * rz;
27+ Mat4 translate_matrix = Mat4::translate(position.x, position.y, position.z);
28+ return scale_matrix * rotation_matrix * translate_matrix;
29+ }
30+};
31+
32+struct Mesh {
33+ vector<vec3f> vertices;
34+ vector<vec2f> texcoords;
35+ vector<vec3f> normals;
36+ vector<Face> faces;
37+ Transform transform;
38+ vec3f color;
39+};
40+
41+Mesh parse_obj(const char *filename);
1@@ -0,0 +1,519 @@
2+#include "renderer.hpp"
3+
4+#include <stdio.h>
5+
6+#include <cmath>
7+#include <vector>
8+
9+#include "SDL.h"
10+#include "camera.hpp"
11+#include "clip.hpp"
12+#include "draw.hpp"
13+#include "math.hpp"
14+#include "mesh.hpp"
15+
16+using std::vector;
17+
18+static_global Window window = {
19+ .sdl_window = nullptr,
20+ .renderer = nullptr,
21+ .front_buffer = nullptr,
22+ .back_buffer = nullptr,
23+ .width = 1280,
24+ .height = 800,
25+};
26+
27+static_global Camera camera = {
28+ .position = {-5.0, 0.0, 1.25},
29+ .forward = {1.0, 0.0, 0.0},
30+ .right = {0.0, -1.0, 0.0},
31+ .up = {0.0, 0.0, 1.0},
32+ .pitch = 0.0,
33+ .yaw = 0.0,
34+};
35+
36+static_global InputState input_state = {0};
37+static_global bool IS_RUNNING = false;
38+
39+static_global float aspect = float(window.width) / float(window.height);
40+static_global float fov_y = 59.0f * M_PI / 180.0f;
41+static_global float grid_spacing = (fmin(window.width, window.height) / 2) / 10;
42+
43+// NOTE: should be like a module type thingy along with the entire pipeline?
44+static_global vector<Mesh> scene; // vertex stage input
45+static_global vector<ScreenTriangle> raster_queue; // raster stage input
46+
47+void initialize_scene() {
48+ Mesh plane = parse_obj("../assets/Plane.obj");
49+ scene.emplace_back(plane);
50+ scene.back().transform.position = {0.0, 0.0, 0.0};
51+ scene.back().transform.scale = {10.0, 10.0, 10.0};
52+ scene.back().color = {0.1, 0.1, 0.1};
53+
54+ Mesh tri = parse_obj("../assets/Tri.obj");
55+ scene.emplace_back(tri);
56+ scene.back().transform.position = {3.0, 3.0, 1.5};
57+ scene.back().transform.scale = {2.0, 2.0, 2.0};
58+ scene.back().color = {0.0, 0.0, 0.5};
59+
60+ Mesh cube = parse_obj("../assets/Cube.obj");
61+ scene.emplace_back(cube);
62+ scene.back().transform.position = {3.0, -3.0, 1.0};
63+ scene.back().color = {0.5, 0.0, 0.0};
64+
65+ Mesh duck = parse_obj("../assets/Duck.obj");
66+ scene.emplace_back(duck);
67+ scene.back().transform.position = {0.0, 3.0, 0.65};
68+ scene.back().color = {0.5, 0.5, 0.0};
69+
70+ Mesh teapot = parse_obj("../assets/Teapot.obj");
71+ scene.emplace_back(teapot);
72+ scene.back().transform.position = {0.0, -3.0, 0.65};
73+ scene.back().color = {0.0, 0.5, 0.0};
74+}
75+
76+void update_scene() {
77+ scene[1].transform.rotation.x += 0.01f;
78+ scene[2].transform.rotation.y += 0.01f;
79+ scene[3].transform.rotation.z += 0.01f;
80+ scene[4].transform.rotation.z += 0.01f;
81+}
82+
83+void process_input(void) {
84+ // reset mouse delta
85+ input_state.mouse_dx = 0;
86+ input_state.mouse_dy = 0;
87+
88+ // mouse input
89+ int x, y;
90+ SDL_GetRelativeMouseState(&x, &y);
91+ input_state.mouse_dx = x;
92+ input_state.mouse_dy = y;
93+
94+ SDL_Event event;
95+ while (SDL_PollEvent(&event)) {
96+ switch (event.type) {
97+ case SDL_QUIT:
98+ IS_RUNNING = false;
99+ break;
100+ case SDL_KEYDOWN:
101+ case SDL_KEYUP: {
102+ bool is_down = (event.type == SDL_KEYDOWN);
103+ switch (event.key.keysym.sym) {
104+ case SDLK_ESCAPE:
105+ IS_RUNNING = false;
106+ break;
107+ case SDLK_w:
108+ input_state.move_forward = is_down;
109+ break;
110+ case SDLK_s:
111+ input_state.move_backward = is_down;
112+ break;
113+ case SDLK_a:
114+ input_state.move_left = is_down;
115+ break;
116+ case SDLK_d:
117+ input_state.move_right = is_down;
118+ break;
119+ case SDLK_e:
120+ input_state.move_up = is_down;
121+ break;
122+ case SDLK_q:
123+ input_state.move_down = is_down;
124+ break;
125+ }
126+ } break;
127+ }
128+ }
129+}
130+
131+// same convention as rot functions in math.hpp
132+// increasing angle == CCW rot, source
133+void update_camera(float dt) {
134+ float move_speed = 10.0f;
135+ float mouse_sensitivity = 0.0025f;
136+ float velocity = move_speed * dt;
137+
138+ camera.yaw -= input_state.mouse_dx * mouse_sensitivity;
139+ camera.pitch -= input_state.mouse_dy * mouse_sensitivity;
140+ camera.pitch = fmaxf(-1.5f, fminf(1.5f, camera.pitch));
141+
142+ // not the biggest fan of trig here,
143+ // rather this than the matrices juggling
144+ // perfect place to do quaternions later maybe
145+ camera.forward = {
146+ cosf(camera.pitch) * cosf(camera.yaw),
147+ cosf(camera.pitch) * sinf(camera.yaw),
148+ sinf(camera.pitch)
149+ };
150+
151+ camera.forward = camera.forward.normalized();
152+ camera.right = camera.forward.cross(vec3f(0.0, 0.0, 1.0)).normalized();
153+ camera.up = camera.right.cross(camera.forward).normalized();
154+
155+ if (input_state.move_forward) {
156+ camera.position = camera.position + camera.forward * velocity;
157+ }
158+ if (input_state.move_backward) {
159+ camera.position = camera.position - camera.forward * velocity;
160+ }
161+ if (input_state.move_left) {
162+ camera.position = camera.position - camera.right * velocity;
163+ }
164+ if (input_state.move_right) {
165+ camera.position = camera.position + camera.right * velocity;
166+ }
167+ if (input_state.move_up) {
168+ camera.position.z += velocity;
169+ }
170+ if (input_state.move_down) {
171+ camera.position.z -= velocity;
172+}
173+}
174+
175+inline vec3f project_to_screen(
176+ const vec4f &clip_pos, const float &inv_w, int win_width, int win_height
177+) {
178+ // NDC construction, should remap to []
179+ float ndc_x = clip_pos.x * inv_w; // NDC depth coordinate
180+ float ndc_y = clip_pos.y * inv_w; // NDC screen X coordinate
181+ float ndc_z = clip_pos.z * inv_w; // NDC screen Y coordinate
182+
183+ // screen space mapping (y is horizontal and z is vertical)
184+ float screen_x = (ndc_y + 1.0f) * 0.5f * win_width;
185+ float screen_y = (ndc_z + 1.0f) * 0.5f * win_height;
186+
187+ return {screen_x, screen_y, ndc_x};
188+}
189+
190+void vertex_stage(
191+ Mesh &m, Camera &camera, float fov_y, float aspect, vector<vec3f> &world_verts,
192+ vector<vec3f> &view_verts
193+) {
194+ world_verts.resize(m.vertices.size());
195+ view_verts.resize(m.vertices.size());
196+
197+ mat4 world_mat = m.transform.model_matrix();
198+ mat4 view_mat = lookAt(&camera);
199+
200+ for (int i = 0; i < m.vertices.size(); i++) {
201+ vec4f obj_v = vec4f(m.vertices[i], 1.0f);
202+
203+ // world space
204+ vec4f world_v = obj_v * world_mat;
205+ world_verts[i] = vec3f(world_v.x, world_v.y, world_v.z);
206+
207+ // view space
208+ vec4f view_v = world_v * view_mat;
209+ view_verts[i] = vec3f(view_v.x, view_v.y, view_v.z);
210+ }
211+}
212+
213+// just bool wrappers over the same planes defined for clipping
214+bool inside_x_min(const vec4f &v) {
215+ return plane_x_min(v) >= 0.0f;
216+}
217+bool inside_x_max(const vec4f &v) {
218+ return plane_x_max(v) >= 0.0f;
219+}
220+bool inside_y_min(const vec4f &v) {
221+ return plane_y_min(v) >= 0.0f;
222+}
223+bool inside_y_max(const vec4f &v) {
224+ return plane_y_max(v) >= 0.0f;
225+}
226+bool inside_z_min(const vec4f &v) {
227+ return plane_z_min(v) >= 0.0f;
228+}
229+bool inside_z_max(const vec4f &v) {
230+ return plane_z_max(v) >= 0.0f;
231+}
232+
233+enum class FrustumStatus { Outside,
234+ Inside,
235+ Straddle };
236+FrustumStatus triangle_frustum_status(const vec4f verts[3]) {
237+ bool any_straddle = false;
238+
239+ bool (*planes[6])(const vec4f &) = {
240+ inside_x_min, inside_x_max, inside_y_min, inside_y_max, inside_z_min, inside_z_max
241+ };
242+
243+ for (int p = 0; p < 6; p++) {
244+ int inside = 0, outside = 0;
245+
246+ for (int i = 0; i < 3; i++) {
247+ if (planes[p](verts[i])) {
248+ inside++;
249+ } else {
250+ outside++;
251+ }
252+ }
253+
254+ if (outside == 3) {
255+ return FrustumStatus::Outside;
256+ }
257+
258+ if (inside > 0 && outside > 0) {
259+ any_straddle = true;
260+ }
261+ }
262+
263+ return any_straddle ? FrustumStatus::Straddle : FrustumStatus::Inside;
264+}
265+
266+static inline vec2f get_uv(const vector<vec2f> &texcoords, int idx) {
267+ if (idx >= 0 && idx < (int)texcoords.size()) {
268+ return texcoords[idx];
269+ }
270+ return vec2f(0.0f, 0.0f);
271+}
272+
273+void run_pipeline(void) {
274+ raster_queue.clear();
275+
276+ mat4 projection_matrix = perspective(fov_y, aspect, 0.1f, 5000.0f);
277+
278+ // NOTE: not 100% sold on the static here, look into this
279+ static_local vector<vec3f> world_verts;
280+ static_local vector<vec3f> view_verts;
281+ static_local vector<ClipVertex> clip_verts;
282+
283+ for (int mesh_idx = 0; mesh_idx < scene.size(); mesh_idx++) {
284+ Mesh &m = scene[mesh_idx];
285+
286+ world_verts.resize(m.vertices.size());
287+ view_verts.resize(m.vertices.size());
288+ clip_verts.resize(m.vertices.size());
289+
290+ vertex_stage(m, camera, fov_y, aspect, world_verts, view_verts);
291+
292+ for (int i = 0; i < m.faces.size(); i += 3) {
293+ Face f0 = m.faces[i + 0];
294+ Face f1 = m.faces[i + 1];
295+ Face f2 = m.faces[i + 2];
296+
297+ // populated by vertex_stage()
298+ vec3f v0_view = view_verts[f0.vertex_idx];
299+ vec3f v1_view = view_verts[f1.vertex_idx];
300+ vec3f v2_view = view_verts[f2.vertex_idx];
301+
302+ vec3f v0_world = world_verts[f0.vertex_idx];
303+ vec3f v1_world = world_verts[f1.vertex_idx];
304+ vec3f v2_world = world_verts[f2.vertex_idx];
305+
306+ // TODO: use the Mesh vertex normal
307+ vec3f world_edge1 = v1_world - v0_world;
308+ vec3f world_edge2 = v2_world - v0_world;
309+ vec3f face_normal = world_edge2.cross(world_edge1).normalized();
310+
311+ // backface culling (view space)
312+ vec3f tri_edge1 = v1_view - v0_view;
313+ vec3f tri_edge2 = v2_view - v0_view;
314+ vec3f tri_normal = tri_edge2.cross(tri_edge1).normalized();
315+ if (tri_normal.dot(v0_view) >= 0.0f) {
316+ continue;
317+ }
318+
319+ // early and cheap near plane rejection (view space)
320+ const float near_plane_dist = 0.1f; // same as proj_mat
321+ int behind_vert_count = 0;
322+ if (v0_view.x < near_plane_dist) {
323+ behind_vert_count++;
324+ }
325+ if (v1_view.x < near_plane_dist) {
326+ behind_vert_count++;
327+ }
328+ if (v2_view.x < near_plane_dist) {
329+ behind_vert_count++;
330+ }
331+ if (behind_vert_count == 3) {
332+ continue;
333+ }
334+
335+ // only the worthy go further (clip space)
336+ vec4f v0_clip = vec4f(v0_view, 1.0f) * projection_matrix;
337+ vec4f v1_clip = vec4f(v1_view, 1.0f) * projection_matrix;
338+ vec4f v2_clip = vec4f(v2_view, 1.0f) * projection_matrix;
339+
340+ vec4f tri_clip[3] = {v0_clip, v1_clip, v2_clip}; // clip space tri
341+ vec2f tri_uv[3] = {
342+ get_uv(m.texcoords, f0.vertex_texture_idx),
343+ get_uv(m.texcoords, f1.vertex_texture_idx),
344+ get_uv(m.texcoords, f2.vertex_texture_idx)
345+ };
346+
347+ FrustumStatus status = triangle_frustum_status(tri_clip);
348+ if (status == FrustumStatus::Outside) {
349+ continue; // reject
350+ }
351+
352+ clip_verts.clear();
353+ if (status == FrustumStatus::Inside) {
354+ clip_verts.reserve(3);
355+ for (int vi = 0; vi < 3; vi++) {
356+ ClipVertex cv;
357+ cv.pos = tri_clip[vi];
358+ cv.color = m.color;
359+ cv.normal = tri_normal;
360+ cv.uv = tri_uv[vi];
361+ clip_verts.push_back(cv);
362+ }
363+ } else {
364+ // straddle case
365+ // expernsive 6 plane clipping so get here if all else fails
366+ clip_verts = clip_polygon_with_attrs(tri_clip, tri_uv, m.color, face_normal);
367+ if (clip_verts.size() < 3) {
368+ continue;
369+ }
370+ }
371+
372+ for (int k = 1; k < clip_verts.size() - 1; ++k) {
373+ // NOTE: rudimentary triangulation, not sure if somethin more robust is used or
374+ // needed tbh. Look into it
375+ const ClipVertex &cv0 = clip_verts[0];
376+ const ClipVertex &cvk = clip_verts[k];
377+ const ClipVertex &cvk1 = clip_verts[k + 1];
378+
379+ ScreenTriangle tri;
380+
381+ const ClipVertex cvs[3] = {cv0, cvk, cvk1};
382+ for (int i = 0; i < 3; ++i) {
383+ const vec4f &p = cvs[i].pos;
384+ float inv_w = 1.0f / p.w;
385+ vec3f ndc = project_to_screen(p, inv_w, window.width, window.height);
386+
387+ tri.points[i] = ndc;
388+ tri.inv_w[i] = 1.0f / cvs[i].pos.w;
389+ tri.uv_over_w[i] = cvs[i].uv * inv_w;
390+ tri.color_over_w[i] = cvs[i].color * inv_w;
391+ tri.ndc_depth[i] = ndc.z;
392+ }
393+ raster_queue.push_back(tri);
394+ }
395+ }
396+ }
397+}
398+
399+void rasterize(void) {
400+ clear_color_buffer(0x00000000, &window);
401+
402+ // clear depth buffer
403+ for (int i = 0; i < window.width * window.height; ++i) {
404+ // NOTE: look into log depth
405+ window.depth_buffer[i] = 1.0f;
406+ }
407+
408+ draw_line_grid(0x252525FF, &window, grid_spacing);
409+ draw_line(window.width / 2, window.height, window.width / 2, 0, 0x656565FF, &window);
410+ draw_line(0, window.height / 2, window.width, window.height / 2, 0x656565FF, &window);
411+
412+ for (int i = 0; i < raster_queue.size(); i++) {
413+ ScreenTriangle &triangle = raster_queue[i];
414+ // TODO: toggle primitives
415+
416+ // triangle primitives
417+ rasterize_triangle(&triangle, &window);
418+
419+ // line primitives
420+ // const u32 line_color = 0x000000FF;
421+ // draw_line(
422+ // triangle.points[0].x,
423+ // triangle.points[0].y,
424+ // triangle.points[1].x,
425+ // triangle.points[1].y,
426+ // line_color,
427+ // &window
428+ // );
429+ // draw_line(
430+ // triangle.points[1].x,
431+ // triangle.points[1].y,
432+ // triangle.points[2].x,
433+ // triangle.points[2].y,
434+ // line_color,
435+ // &window
436+ // );
437+ // draw_line(
438+ // triangle.points[2].x,
439+ // triangle.points[2].y,
440+ // triangle.points[0].x,
441+ // triangle.points[0].y,
442+ // line_color,
443+ // &window
444+ // );
445+
446+ // points primitives
447+ // draw_rect(triangle.points[0].x, triangle.points[0].y, 5, 5, line_color, &window);
448+ // draw_rect(triangle.points[1].x, triangle.points[1].y, 5, 5, line_color, &window);
449+ // draw_rect(triangle.points[2].x, triangle.points[2].y, 5, 5, line_color, &window);
450+ }
451+
452+ // blit the color buffer onto a texture
453+ // basically the present frame stage in a pipeline
454+ SDL_RenderPresent(window.renderer);
455+ SDL_UpdateTexture(window.front_buffer, nullptr, window.back_buffer, (int)(window.width * sizeof(u32)));
456+ SDL_RenderCopy(window.renderer, window.front_buffer, nullptr, nullptr);
457+}
458+
459+int main(int argc, char *argv[]) {
460+ // init sdl
461+ if (SDL_Init(SDL_INIT_VIDEO != 0 || SDL_INIT_EVENTS) != 0) {
462+ printf("SDL_Init failed: %s\n", SDL_GetError());
463+ return -1;
464+ }
465+ window.sdl_window = SDL_CreateWindow(
466+ "cpp-rasterizer",
467+ SDL_WINDOWPOS_CENTERED,
468+ SDL_WINDOWPOS_CENTERED,
469+ window.width,
470+ window.height,
471+ SDL_WINDOW_SHOWN
472+ );
473+ if (!window.sdl_window) {
474+ printf("SDL_CreateWindow failed: %s\n", SDL_GetError());
475+ return -1;
476+ }
477+ window.renderer = SDL_CreateRenderer(window.sdl_window, -1, 0);
478+ if (!window.renderer) {
479+ printf("SDL_CreateRenderer failed: %s\n", SDL_GetError());
480+ return -1;
481+ }
482+ window.front_buffer = SDL_CreateTexture(
483+ window.renderer,
484+ SDL_PIXELFORMAT_RGBA8888,
485+ SDL_TEXTUREACCESS_STREAMING,
486+ window.width,
487+ window.height
488+ );
489+ if (!window.front_buffer) {
490+ printf("Error creating SDL texture: %s\n", SDL_GetError());
491+ }
492+ SDL_SetRelativeMouseMode(SDL_TRUE);
493+
494+ // init globals
495+ window.back_buffer = (u32 *)malloc(sizeof(u32) * window.height * window.width);
496+ window.depth_buffer = (float *)malloc(sizeof(float) * window.height * window.width);
497+ initialize_scene();
498+ IS_RUNNING = true;
499+
500+ u32 last_frame_time = 0;
501+ float delta_time = 0.0f;
502+ while (IS_RUNNING) {
503+ u32 current_time = SDL_GetTicks();
504+ delta_time = (current_time - last_frame_time) / 1000.0f;
505+ last_frame_time = current_time;
506+ update_scene();
507+ process_input();
508+ update_camera(delta_time);
509+ run_pipeline();
510+ rasterize();
511+ }
512+
513+ free(window.depth_buffer);
514+ free(window.back_buffer);
515+ SDL_DestroyRenderer(window.renderer);
516+ SDL_DestroyWindow(window.sdl_window);
517+ SDL_Quit();
518+
519+ return 0;
520+}
1@@ -0,0 +1,53 @@
2+#define _CRT_SECURE_NO_WARNINGS
3+
4+#pragma once
5+
6+#include <SDL.h>
7+#include <stdint.h>
8+
9+typedef int8_t i8;
10+typedef int16_t i16;
11+typedef int32_t i32;
12+typedef int64_t i64;
13+typedef uint8_t u8;
14+typedef uint16_t u16;
15+typedef uint32_t u32;
16+typedef uint64_t u64;
17+typedef float f32;
18+typedef double f64;
19+
20+#define static_global static
21+#define static_local static
22+#define static_internal static
23+
24+// could manually blit instead of using SDL_Renderer, but there's no point?
25+// GPU gets used to composite the window anyway.
26+// The only added step after skipping SDL_Renderer would be walking color_buffer and
27+// memcpying by the stride
28+struct Window {
29+ SDL_Window *sdl_window;
30+ SDL_Renderer *renderer;
31+ SDL_Texture *front_buffer;
32+ u32 *back_buffer;
33+ float *depth_buffer;
34+ int width;
35+ int height;
36+};
37+
38+struct InputState {
39+ bool move_forward;
40+ bool move_backward;
41+ bool move_left;
42+ bool move_right;
43+ bool move_up;
44+ bool move_down;
45+ int mouse_dx;
46+ int mouse_dy;
47+};
48+
49+struct Camera;
50+struct ClipVertex;
51+struct ScreenTriangle;
52+struct Face;
53+struct Transform;
54+struct Mesh;