Initial commit
| 31 files changed, 29962 insertions(+), 0 deletions(-) | |||
|---|---|---|---|
| A | .gitattributes | +4 | -0 |
| A | .gitignore | +5 | -0 |
| A | README.md | +77 | -0 |
| A | assets/Cube.mtl | +11 | -0 |
| A | assets/Cube.obj | +36 | -0 |
| A | assets/Default.png | +0 | -0 |
| A | assets/Duck.mtl | +13 | -0 |
| A | assets/Duck.obj | +11159 | -0 |
| A | assets/DuckCM.png | +0 | -0 |
| A | assets/Missing_t.png | +0 | -0 |
| A | assets/Plane.mtl | +11 | -0 |
| A | assets/Plane.obj | +17 | -0 |
| A | assets/Sphere.mtl | +2 | -0 |
| A | assets/Sphere.obj | +2537 | -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 | +44 | -0 |
| A | src/camera.h | +16 | -0 |
| A | src/clip.cpp | +135 | -0 |
| A | src/clip.h | +25 | -0 |
| A | src/draw.cpp | +209 | -0 |
| A | src/draw.h | +18 | -0 |
| A | src/globals.h | +16 | -0 |
| A | src/mesh.cpp | +73 | -0 |
| A | src/mesh.h | +40 | -0 |
| A | src/renderer.cpp | +528 | -0 |
| A | src/renderer.h | +51 | -0 |
| A | src/util_math.h | +348 | -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 +1,11 @@
2+# www.blender.org
3+
4+newmtl default
5+Ns 10.000005
6+Ka 1.000000 1.000000 1.000000
7+Ks 0.200000 0.200000 0.200000
8+Ke 0.000000 0.000000 0.000000
9+Ni 1.500000
10+d 1.000000
11+illum 2
12+map_Kd Default.png
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
7+v -0.500000 0.500000 0.500000
8+v -0.500000 -0.500000 0.500000
9+v 0.500000 -0.500000 0.500000
10+v 0.500000 0.500000 -0.500000
11+v -0.500000 0.500000 -0.500000
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 +1,13 @@
2+# Blender 4.5.1 LTS MTL File: 'None'
3+# www.blender.org
4+
5+newmtl blinn3-fx
6+Ns 0.000000
7+Ka 1.000000 1.000000 1.000000
8+Kd 0.800000 0.800000 0.800000
9+Ks 0.500000 0.500000 0.500000
10+Ke 0.000000 0.000000 0.000000
11+Ni 1.500000
12+d 1.000000
13+illum 2
14+map_Kd DuckCM.png
1@@ -0,0 +1,11159 @@
2+# Blender 4.5.1 LTS
3+# www.blender.org
4+mtllib Duck.mtl
5+o LOD3spShape
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1@@ -0,0 +1,11 @@
2+# www.blender.org
3+
4+newmtl Plane
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11+illum 2
12+map_Kd Default.png
1@@ -0,0 +1,17 @@
2+# Blender 4.5.1 LTS
3+# www.blender.org
4+mtllib Plane.mtl
5+o Plane
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17+f 2/1/1 3/2/1 1/3/1
18+f 2/1/1 4/4/1 3/2/1
1@@ -0,0 +1,2 @@
2+# Blender 4.5.1 LTS MTL File: 'None'
3+# www.blender.org
1@@ -0,0 +1,2537 @@
2+# Blender 4.5.1 LTS
3+# www.blender.org
4+#mtllib sphere.mtl
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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 +1,44 @@
2+#include "camera.h"
3+
4+#include "util_math.h"
5+
6+Mat4 perspective(float fov, float aspect, float near_plane, float far_plane) {
7+ // far + near / far - near 0 0 -(2.0f * far * near)/ far - near) \\
8+ // 0 near_plane / right 0 0 \\
9+ // 0 0 near_plane / top 0 \\
10+ // 1.0f 0 0 0 \\
11+
12+ Mat4 r = Mat4::zeroed();
13+
14+ float top = near_plane * tan(fov * 0.5f);
15+ float right = top * aspect;
16+
17+ // X = depth
18+ r.m[0][0] = (far_plane + near_plane) / (far_plane - near_plane);
19+ r.m[0][3] = 1.0f; // w row
20+ r.m[3][0] = -(2.0f * far_plane * near_plane) / (far_plane - near_plane);
21+ // Y = Right
22+ r.m[1][1] = near_plane / right;
23+ // Z = up
24+ r.m[2][2] = near_plane / top;
25+
26+ return r;
27+};
28+
29+Mat4 lookAt(Camera *camera) {
30+ vec3f f = camera->forward;
31+ vec3f r = camera->right;
32+ vec3f u = camera->up;
33+ vec3f p = camera->position;
34+
35+ Mat4 view = Mat4::identity();
36+ // mind the transpose here since its a complete inverse
37+ view = {
38+ {{f.x, r.x, u.x, 0.0}, // X+ forward row
39+ {f.y, r.y, u.y, 0.0}, // Y- right row
40+ {f.z, r.z, u.z, 0.0}, // Z+ up row
41+ {-(f.dot(p)), -(r.dot(p)), -(u.dot(p)), 1.0f}} // negate cam world pos translateions
42+ };
43+
44+ return view;
45+};
1@@ -0,0 +1,16 @@
2+#pragma once
3+
4+#include "util_math.h"
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 +1,135 @@
2+#include "clip.h"
3+
4+#include <math.h>
5+
6+#include <vector>
7+
8+#include "util_math.h"
9+
10+using std::vector;
11+
12+// canonical view volume
13+float plane_x_min(const vec4f &v) {
14+ return v.w + v.x; // x >= -w
15+}
16+float plane_x_max(const vec4f &v) {
17+ return v.w - v.x; // x <= w
18+}
19+float plane_y_min(const vec4f &v) {
20+ return v.w + v.y; // y >= -w
21+}
22+float plane_y_max(const vec4f &v) {
23+ return v.w - v.y; // y <= w
24+}
25+float plane_z_min(const vec4f &v) {
26+ return v.w + v.z; // z >= -w
27+}
28+float plane_z_max(const vec4f &v) {
29+ return v.w - v.z; // z <= w
30+}
31+
32+// dead simple helpers to handle basic floating point precision on pushing
33+inline bool almost_same(const vec4f &a, const vec4f &b, float eps = 1e-6f) {
34+ return fabs(a.x - b.x) < eps &&
35+ fabs(a.y - b.y) < eps &&
36+ fabs(a.z - b.z) < eps &&
37+ fabs(a.w - b.w) < eps;
38+}
39+
40+inline void push_unique(vector<ClipVertex> &out, const ClipVertex &v) {
41+ if (out.empty() || !almost_same(out.back().pos, v.pos)) {
42+ out.push_back(v);
43+ }
44+}
45+
46+ClipVertex lerp_vert(const ClipVertex &a, const ClipVertex &b, float t) {
47+ ClipVertex result;
48+ result.pos = vec4f_lerp(a.pos, b.pos, t);
49+ result.color = vec3f_lerp(a.color, b.color, t);
50+ result.uv = vec2f_lerp(a.uv, b.uv, t);
51+ result.normal = vec3f_lerp(a.normal, b.normal, t);
52+ return result;
53+}
54+
55+vector<ClipVertex> clip_against_plane(
56+ const vector<ClipVertex> &polygon_in, float (*plane_dist)(const vec4f &)
57+) {
58+ vector<ClipVertex> clipped_polygon;
59+ if (polygon_in.empty()) {
60+ return clipped_polygon;
61+ }
62+
63+ // prev vertex and distance to compare against
64+ ClipVertex prev_vert = polygon_in.back();
65+ float prev_dist = plane_dist(prev_vert.pos);
66+ bool prev_inside = (prev_dist >= 0.0f);
67+
68+ // loop over each vertex to compare
69+ for (size_t i = 0; i < polygon_in.size(); ++i) {
70+ const ClipVertex &curr_vert = polygon_in[i];
71+ float curr_dist = plane_dist(curr_vert.pos);
72+ bool curr_inside = (curr_dist >= 0.0f);
73+
74+ // case 1: both prev and curr are inside the plane
75+ // so the curr vertex also gets added to the new clipped polygon
76+ // notes/clipping/9
77+ if (prev_inside && curr_inside) {
78+ push_unique(clipped_polygon, curr_vert);
79+ }
80+
81+ // case 2: either vertex ends up inside while the other is outside the plane
82+ // time to create a new vert on the intersection and add it to the new polygon
83+ else if (prev_inside != curr_inside) {
84+ float dist_difference = prev_dist - curr_dist;
85+ float edge_interpolation_factor = prev_dist / (dist_difference);
86+ ClipVertex intersect_vert = lerp_vert(prev_vert, curr_vert, edge_interpolation_factor);
87+ push_unique(clipped_polygon, intersect_vert);
88+
89+ // case 3 (more like case 2.5): If the curr vertex is also already inside
90+ // safely add it to the clipped polygon
91+ // notes/clipping/10
92+ if (curr_inside) {
93+ push_unique(clipped_polygon, curr_vert);
94+ }
95+ }
96+
97+ // update prev_vert for the next iter
98+ prev_vert = curr_vert;
99+ prev_dist = curr_dist;
100+ prev_inside = curr_inside;
101+ }
102+
103+ return clipped_polygon;
104+}
105+
106+// Clip space/Sutherland–Hodgman/Homogeneous clipping
107+// clipping any polygon to the canonical view volume: -w <= x,y,z <= w.
108+vector<ClipVertex> clip_polygon_with_attrs(
109+ vec4f *clip_positions,
110+ vec2f *input_uv,
111+ vec3f input_color,
112+ vec3f input_normal
113+) {
114+ vector<ClipVertex> clipped_vertices;
115+ clipped_vertices.reserve(3);
116+
117+ for (int i = 0; i < 3; ++i) {
118+ ClipVertex cv;
119+ cv.pos = clip_positions[i];
120+ cv.uv = input_uv[i];
121+ cv.color = input_color;
122+ cv.normal = input_normal;
123+ clipped_vertices.push_back(cv);
124+ }
125+
126+ clipped_vertices = clip_against_plane(clipped_vertices, plane_x_min);
127+ clipped_vertices = clip_against_plane(clipped_vertices, plane_x_max);
128+
129+ clipped_vertices = clip_against_plane(clipped_vertices, plane_y_min);
130+ clipped_vertices = clip_against_plane(clipped_vertices, plane_y_max);
131+
132+ clipped_vertices = clip_against_plane(clipped_vertices, plane_z_min);
133+ clipped_vertices = clip_against_plane(clipped_vertices, plane_z_max);
134+
135+ return clipped_vertices; // could be empty if triangle fully outside
136+}
1@@ -0,0 +1,25 @@
2+#include <vector>
3+
4+#include "util_math.h"
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 +1,209 @@
2+#include "draw.h"
3+
4+#include "globals.h"
5+#include "util_math.h"
6+
7+static inline u32 vec3_to_u32RGBA(vec3f &c) {
8+ u8 r = (u8)(c.x * 255.0f);
9+ u8 g = (u8)(c.y * 255.0f);
10+ u8 b = (u8)(c.z * 255.0f);
11+ u8 a = 255;
12+
13+ u32 final_color = (r << 24) | (g << 16) | (b << 8) | a;
14+ return final_color;
15+};
16+
17+void clear_color_buffer(u32 color, Window *window) {
18+ for (int i = 0; i < window->width * window->height; i++) {
19+ window->back_buffer[i] = color;
20+ };
21+};
22+
23+// (0,0) bottom left, screen space origin
24+// Y- in NDC is X+ in screen space
25+// Z+ in NDC is Y+ in screen space
26+static inline void draw_pixel(int x, int y, u32 color, Window *window) {
27+ if (x >= 0 && x < window->width && y >= 0 && y < window->height) {
28+ int flipped_y = (window->height - 1) - y;
29+ window->back_buffer[(window->width * flipped_y) + x] = color;
30+ };
31+};
32+
33+void draw_rect(int x, int y, int width, int height, u32 color, Window *window) {
34+ for (int i = 0; i < height; i++) {
35+ for (int j = 0; j < width; j++) {
36+ int offset_x = x + j;
37+ int offset_y = y - i;
38+ draw_pixel(offset_x, offset_y, color, window);
39+ };
40+ };
41+};
42+
43+void draw_line_grid(u32 color, Window *window, u8 spacing = 10) {
44+ for (int y = 0; y < window->height; y++) {
45+ for (int x = 0; x < window->width; x++) {
46+ if (x % spacing == 0 || y % spacing == 0) {
47+ draw_pixel(x, y, color, window);
48+ };
49+ };
50+ };
51+};
52+
53+// Bresenham's Line Algorithm
54+// https://wikipedia.org/wiki/Bresenham's_line_algorithm
55+// TODO: Wu's whenever I add pure primitives toggling
56+void draw_line(int x0, int y0, int x1, int y1, u32 color, Window *window) {
57+ // differences
58+ int delta_x = (x1 > x0) ? (x1 - x0) : (x0 - x1);
59+ int delta_y = (y1 > y0) ? (y1 - y0) : (y0 - y1);
60+ // direction
61+ int step_x = (x0 < x1) ? 1 : -1;
62+ int step_y = (y0 < y1) ? 1 : -1;
63+ // error term, to adjust direction
64+ int error_calib = delta_x - delta_y;
65+
66+ while (1) {
67+ draw_pixel(x0, y0, color, window);
68+ if (x0 == x1 && y0 == y1) {
69+ break;
70+ }
71+ int error_double = 2 * error_calib;
72+ if (error_double > -delta_y) {
73+ error_calib -= delta_y;
74+ x0 += step_x;
75+ }
76+ if (error_double < delta_x) {
77+ error_calib += delta_x;
78+ y0 += step_y;
79+ };
80+ };
81+};
82+
83+static inline void process_fragment(int buff_idx, float pixel_depth, u32 pixel_color, Window *window) {
84+ float current_depth_at_pixel = window->depth_buffer[buff_idx];
85+ if (pixel_depth < current_depth_at_pixel) {
86+ window->depth_buffer[buff_idx] = pixel_depth;
87+ window->back_buffer[buff_idx] = pixel_color;
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+ int flipped_y = (window->height - 1) - y; // draw_pixel origin convention
171+ int row_start = flipped_y * window->width;
172+
173+ // inside tri
174+ for (int x = minX; x <= maxX; ++x) {
175+ if (E0 >= 0.0f && E1 >= 0.0f && E2 >= 0.0f) {
176+ int buffer_idx = row_start + x;
177+
178+ // edge based barycentric coords eval
179+ float alpha = E0 * invArea;
180+ float beta = E1 * invArea;
181+ float gamma = E2 * invArea;
182+
183+ // lerp the attribute accross the triangle's barycentric coords
184+ float lerp_inv_w = alpha * inv_w0 + beta * inv_w1 + gamma * inv_w2;
185+ float lerp_depth = alpha * ndc_depth0 + beta * ndc_depth1 + gamma * ndc_depth2;
186+ vec2f lerp_uv = uv_over_w0 * alpha + uv_over_w1 * beta + uv_over_w2 * gamma;
187+ vec3f lerped_color = alpha * c0 + beta * c1 + gamma * c2; // TODO: not needed, sample a texture by lerp_uv here
188+
189+ vec3f color = lerped_color / lerp_inv_w;
190+ u32 u32_color = vec3_to_u32RGBA(color);
191+ vec2f uv = lerp_uv / lerp_inv_w;
192+
193+ process_fragment(buffer_idx, lerp_depth, u32_color, window);
194+ }
195+
196+ // increment edge functions
197+ // advance right one pixel: x -> x + 1
198+ E0 += stepX0;
199+ E1 += stepX1;
200+ E2 += stepX2;
201+ }
202+
203+ // increment edge functions
204+ // advance one row: y -> y + 1
205+ // NOTE: Edge stepping for Y is subtraction since we start a triangle at top left (0, 0)
206+ E0_row -= stepY0;
207+ E1_row -= stepY1;
208+ E2_row -= stepY2;
209+ }
210+}
1@@ -0,0 +1,18 @@
2+#pragma once
3+
4+#include "globals.h"
5+#include "util_math.h"
6+#include "renderer.h"
7+
8+struct ScreenTriangle {
9+ vec3f points[3];
10+ vec2f uv_over_w[3];
11+ vec3f color_over_w[3];
12+ float inv_w[3];
13+ float ndc_depth[3];
14+};
15+
16+void clear_color_buffer(u32 color, Window *window);
17+void draw_line_grid(u32 color, Window *window, u8 spacing);
18+void draw_line(int x0, int y0, int x1, int y1, u32 color, Window *window);
19+void rasterize_triangle(ScreenTriangle *tri, Window *window);
1@@ -0,0 +1,16 @@
2+#include <stdint.h>
3+
4+typedef int8_t i8;
5+typedef int16_t i16;
6+typedef int32_t i32;
7+typedef int64_t i64;
8+typedef uint8_t u8;
9+typedef uint16_t u16;
10+typedef uint32_t u32;
11+typedef uint64_t u64;
12+typedef float f32;
13+typedef double f64;
14+
15+#define static_global static
16+#define static_local static
17+#define static_internal static
1@@ -0,0 +1,73 @@
2+#include "mesh.h"
3+
4+#include <stdio.h>
5+#include <stdlib.h>
6+#include <string.h>
7+
8+#include <vector>
9+
10+#include "util_math.h"
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 "util_math.h"
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 +1,528 @@
2+#include "renderer.h"
3+
4+#include <math.h>
5+#include <stdio.h>
6+
7+#include <vector>
8+
9+#include "SDL.h"
10+#include "camera.h"
11+#include "clip.h"
12+#include "draw.h"
13+#include "util_math.h"
14+#include "mesh.h"
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_down = is_down;
121+ break;
122+ case SDLK_q:
123+ input_state.move_up = is_down;
124+ break;
125+ }
126+ } break;
127+ }
128+ }
129+}
130+
131+// same convention as rot functions in math.h
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 FrustumStatus {
234+ Outside,
235+ Inside,
236+ Straddle
237+};
238+
239+FrustumStatus triangle_frustum_status(const vec4f verts[3]) {
240+ bool any_straddle = false;
241+
242+ bool (*planes[6])(const vec4f &) = {
243+ inside_x_min,
244+ inside_x_max,
245+ inside_y_min,
246+ inside_y_max,
247+ inside_z_min,
248+ inside_z_max
249+ };
250+
251+ for (int p = 0; p < 6; p++) {
252+ int inside = 0;
253+ int outside = 0;
254+
255+ for (int i = 0; i < 3; i++) {
256+ if (planes[p](verts[i])) {
257+ inside++;
258+ } else {
259+ outside++;
260+ }
261+ }
262+
263+ if (outside == 3) {
264+ return Outside;
265+ }
266+
267+ if (inside > 0 && outside > 0) {
268+ any_straddle = true;
269+ }
270+ }
271+
272+ return any_straddle ? Straddle : Inside;
273+}
274+
275+static inline vec2f get_uv(const vector<vec2f> &texcoords, int idx) {
276+ if (idx >= 0 && idx < (int)texcoords.size()) {
277+ return texcoords[idx];
278+ }
279+ return vec2f(0.0f, 0.0f);
280+}
281+
282+void run_pipeline(void) {
283+ raster_queue.clear();
284+
285+ mat4 projection_matrix = perspective(fov_y, aspect, 0.1f, 5000.0f);
286+
287+ // NOTE: not 100% sold on the static here, look into this
288+ static_local vector<vec3f> world_verts;
289+ static_local vector<vec3f> view_verts;
290+ static_local vector<ClipVertex> clip_verts;
291+
292+ for (int mesh_idx = 0; mesh_idx < scene.size(); mesh_idx++) {
293+ Mesh &m = scene[mesh_idx];
294+
295+ world_verts.resize(m.vertices.size());
296+ view_verts.resize(m.vertices.size());
297+ clip_verts.resize(m.vertices.size());
298+
299+ vertex_stage(m, camera, fov_y, aspect, world_verts, view_verts);
300+
301+ for (int i = 0; i < m.faces.size(); i += 3) {
302+ Face f0 = m.faces[i + 0];
303+ Face f1 = m.faces[i + 1];
304+ Face f2 = m.faces[i + 2];
305+
306+ // populated by vertex_stage()
307+ vec3f v0_view = view_verts[f0.vertex_idx];
308+ vec3f v1_view = view_verts[f1.vertex_idx];
309+ vec3f v2_view = view_verts[f2.vertex_idx];
310+
311+ vec3f v0_world = world_verts[f0.vertex_idx];
312+ vec3f v1_world = world_verts[f1.vertex_idx];
313+ vec3f v2_world = world_verts[f2.vertex_idx];
314+
315+ // TODO: use the Mesh vertex normal
316+ vec3f world_edge1 = v1_world - v0_world;
317+ vec3f world_edge2 = v2_world - v0_world;
318+ vec3f face_normal = world_edge2.cross(world_edge1).normalized();
319+
320+ // backface culling (view space)
321+ vec3f tri_edge1 = v1_view - v0_view;
322+ vec3f tri_edge2 = v2_view - v0_view;
323+ vec3f tri_normal = tri_edge2.cross(tri_edge1).normalized();
324+ if (tri_normal.dot(v0_view) >= 0.0f) {
325+ continue;
326+ }
327+
328+ // early and cheap near plane rejection (view space)
329+ const float near_plane_dist = 0.1f; // same as proj_mat
330+ int behind_vert_count = 0;
331+ if (v0_view.x < near_plane_dist) {
332+ behind_vert_count++;
333+ }
334+ if (v1_view.x < near_plane_dist) {
335+ behind_vert_count++;
336+ }
337+ if (v2_view.x < near_plane_dist) {
338+ behind_vert_count++;
339+ }
340+ if (behind_vert_count == 3) {
341+ continue;
342+ }
343+
344+ // only the worthy go further (clip space)
345+ vec4f v0_clip = vec4f(v0_view, 1.0f) * projection_matrix;
346+ vec4f v1_clip = vec4f(v1_view, 1.0f) * projection_matrix;
347+ vec4f v2_clip = vec4f(v2_view, 1.0f) * projection_matrix;
348+
349+ vec4f tri_clip[3] = {v0_clip, v1_clip, v2_clip}; // clip space tri
350+ vec2f tri_uv[3] = {
351+ get_uv(m.texcoords, f0.vertex_texture_idx),
352+ get_uv(m.texcoords, f1.vertex_texture_idx),
353+ get_uv(m.texcoords, f2.vertex_texture_idx)
354+ };
355+
356+ FrustumStatus status = triangle_frustum_status(tri_clip);
357+ if (status == Outside) {
358+ continue; // reject
359+ }
360+
361+ clip_verts.clear();
362+ if (status == Inside) {
363+ clip_verts.reserve(3);
364+ for (int vi = 0; vi < 3; vi++) {
365+ ClipVertex cv;
366+ cv.pos = tri_clip[vi];
367+ cv.color = m.color;
368+ cv.normal = tri_normal;
369+ cv.uv = tri_uv[vi];
370+ clip_verts.push_back(cv);
371+ }
372+ } else {
373+ // straddle case
374+ // expernsive 6 plane clipping so get here if all else fails
375+ clip_verts = clip_polygon_with_attrs(tri_clip, tri_uv, m.color, face_normal);
376+ if (clip_verts.size() < 3) {
377+ continue;
378+ }
379+ }
380+
381+ for (int k = 1; k < clip_verts.size() - 1; ++k) {
382+ // NOTE: rudimentary triangulation, not sure if somethin more robust is used or
383+ // needed tbh. Look into it
384+ const ClipVertex &cv0 = clip_verts[0];
385+ const ClipVertex &cvk = clip_verts[k];
386+ const ClipVertex &cvk1 = clip_verts[k + 1];
387+
388+ ScreenTriangle tri;
389+
390+ const ClipVertex cvs[3] = {cv0, cvk, cvk1};
391+ for (int i = 0; i < 3; ++i) {
392+ const vec4f &p = cvs[i].pos;
393+ float inv_w = 1.0f / p.w;
394+ vec3f ndc = project_to_screen(p, inv_w, window.width, window.height);
395+
396+ tri.points[i] = ndc;
397+ tri.inv_w[i] = 1.0f / cvs[i].pos.w;
398+ tri.uv_over_w[i] = cvs[i].uv * inv_w;
399+ tri.color_over_w[i] = cvs[i].color * inv_w;
400+ tri.ndc_depth[i] = ndc.z;
401+ }
402+ raster_queue.push_back(tri);
403+ }
404+ }
405+ }
406+}
407+
408+void rasterize(void) {
409+ clear_color_buffer(0x00000000, &window);
410+
411+ // clear depth buffer
412+ for (int i = 0; i < window.width * window.height; ++i) {
413+ // NOTE: look into log depth
414+ window.depth_buffer[i] = 1.0f;
415+ }
416+
417+ draw_line_grid(0x252525FF, &window, grid_spacing);
418+ draw_line(window.width / 2, window.height, window.width / 2, 0, 0x656565FF, &window);
419+ draw_line(0, window.height / 2, window.width, window.height / 2, 0x656565FF, &window);
420+
421+ for (int i = 0; i < raster_queue.size(); i++) {
422+ ScreenTriangle &triangle = raster_queue[i];
423+ // TODO: toggle primitives
424+
425+ // triangle primitives
426+ rasterize_triangle(&triangle, &window);
427+
428+ // line primitives
429+ // const u32 line_color = 0x000000FF;
430+ // draw_line(
431+ // triangle.points[0].x,
432+ // triangle.points[0].y,
433+ // triangle.points[1].x,
434+ // triangle.points[1].y,
435+ // line_color,
436+ // &window
437+ // );
438+ // draw_line(
439+ // triangle.points[1].x,
440+ // triangle.points[1].y,
441+ // triangle.points[2].x,
442+ // triangle.points[2].y,
443+ // line_color,
444+ // &window
445+ // );
446+ // draw_line(
447+ // triangle.points[2].x,
448+ // triangle.points[2].y,
449+ // triangle.points[0].x,
450+ // triangle.points[0].y,
451+ // line_color,
452+ // &window
453+ // );
454+
455+ // points primitives
456+ // draw_rect(triangle.points[0].x, triangle.points[0].y, 5, 5, line_color, &window);
457+ // draw_rect(triangle.points[1].x, triangle.points[1].y, 5, 5, line_color, &window);
458+ // draw_rect(triangle.points[2].x, triangle.points[2].y, 5, 5, line_color, &window);
459+ }
460+
461+ // blit the color buffer onto a texture
462+ // basically the present frame stage in a pipeline
463+ SDL_RenderPresent(window.renderer);
464+ SDL_UpdateTexture(window.front_buffer, nullptr, window.back_buffer, (int)(window.width * sizeof(u32)));
465+ SDL_RenderCopy(window.renderer, window.front_buffer, nullptr, nullptr);
466+}
467+
468+int main(int argc, char *argv[]) {
469+ // init sdl
470+ if (SDL_Init(SDL_INIT_VIDEO != 0 || SDL_INIT_EVENTS) != 0) {
471+ printf("SDL_Init failed: %s\n", SDL_GetError());
472+ return -1;
473+ }
474+ window.sdl_window = SDL_CreateWindow(
475+ "cpp-rasterizer",
476+ SDL_WINDOWPOS_CENTERED,
477+ SDL_WINDOWPOS_CENTERED,
478+ window.width,
479+ window.height,
480+ SDL_WINDOW_SHOWN
481+ );
482+ if (!window.sdl_window) {
483+ printf("SDL_CreateWindow failed: %s\n", SDL_GetError());
484+ return -1;
485+ }
486+ window.renderer = SDL_CreateRenderer(window.sdl_window, -1, 0);
487+ if (!window.renderer) {
488+ printf("SDL_CreateRenderer failed: %s\n", SDL_GetError());
489+ return -1;
490+ }
491+ window.front_buffer = SDL_CreateTexture(
492+ window.renderer,
493+ SDL_PIXELFORMAT_RGBA8888,
494+ SDL_TEXTUREACCESS_STREAMING,
495+ window.width,
496+ window.height
497+ );
498+ if (!window.front_buffer) {
499+ printf("Error creating SDL texture: %s\n", SDL_GetError());
500+ }
501+ SDL_SetRelativeMouseMode(SDL_TRUE);
502+
503+ // init globals
504+ window.back_buffer = (u32 *)malloc(sizeof(u32) * window.height * window.width);
505+ window.depth_buffer = (float *)malloc(sizeof(float) * window.height * window.width);
506+ initialize_scene();
507+ IS_RUNNING = true;
508+
509+ u32 last_frame_time = 0;
510+ float delta_time = 0.0f;
511+ while (IS_RUNNING) {
512+ u32 current_time = SDL_GetTicks();
513+ delta_time = (current_time - last_frame_time) / 1000.0f;
514+ last_frame_time = current_time;
515+ update_scene();
516+ process_input();
517+ update_camera(delta_time);
518+ run_pipeline();
519+ rasterize();
520+ }
521+
522+ free(window.depth_buffer);
523+ free(window.back_buffer);
524+ SDL_DestroyRenderer(window.renderer);
525+ SDL_DestroyWindow(window.sdl_window);
526+ SDL_Quit();
527+
528+ return 0;
529+}
1@@ -0,0 +1,51 @@
2+#pragma once
3+
4+#include <SDL.h>
5+#include <stdint.h>
6+
7+typedef int8_t i8;
8+typedef int16_t i16;
9+typedef int32_t i32;
10+typedef int64_t i64;
11+typedef uint8_t u8;
12+typedef uint16_t u16;
13+typedef uint32_t u32;
14+typedef uint64_t u64;
15+typedef float f32;
16+typedef double f64;
17+
18+#define static_global static
19+#define static_local static
20+#define static_internal static
21+
22+// could manually blit instead of using SDL_Renderer, but there's no point?
23+// GPU gets used to composite the window anyway.
24+// The only added step after skipping SDL_Renderer would be walking color_buffer and
25+// memcpying by the stride
26+struct Window {
27+ SDL_Window *sdl_window;
28+ SDL_Renderer *renderer;
29+ SDL_Texture *front_buffer;
30+ u32 *back_buffer;
31+ float *depth_buffer;
32+ int width;
33+ int height;
34+};
35+
36+struct InputState {
37+ bool move_forward;
38+ bool move_backward;
39+ bool move_left;
40+ bool move_right;
41+ bool move_up;
42+ bool move_down;
43+ int mouse_dx;
44+ int mouse_dy;
45+};
46+
47+struct Camera;
48+struct ClipVertex;
49+struct ScreenTriangle;
50+struct Face;
51+struct Transform;
52+struct Mesh;
1@@ -0,0 +1,348 @@
2+#pragma once
3+
4+#include <math.h>
5+
6+typedef struct Vec2f {
7+ union {
8+ struct {
9+ float x, y;
10+ };
11+ struct {
12+ float u, v;
13+ };
14+ };
15+
16+ Vec2f() : x(0.0f), y(0.0f) {};
17+
18+ Vec2f(float x_, float y_) {
19+ x = x_;
20+ y = y_;
21+ }
22+
23+ Vec2f operator+(const Vec2f &other) const {
24+ return Vec2f(x + other.x, y + other.y);
25+ }
26+
27+ Vec2f operator-(const Vec2f &other) const {
28+ return Vec2f(x - other.x, y - other.y);
29+ }
30+
31+ Vec2f operator*(float s) const {
32+ return Vec2f(x * s, y * s);
33+ }
34+
35+ Vec2f operator/(float s) const {
36+ if (s != 0.0f) {
37+ return Vec2f(x / s, y / s);
38+ }
39+ return Vec2f();
40+ }
41+
42+ Vec2f normalized() const {
43+ float len = length();
44+ return (len > 0) ? (*this * (1.0f / len)) : Vec2f();
45+ }
46+
47+ float dot(const Vec2f &other) const {
48+ return x * other.x + y * other.y;
49+ }
50+
51+ float length() const {
52+ return sqrtf(x * x + y * y);
53+ }
54+
55+} vec2f;
56+
57+typedef struct Vec3f {
58+ union {
59+ struct {
60+ float x, y, z;
61+ };
62+ struct {
63+ float r, g, b;
64+ };
65+ };
66+
67+ Vec3f() : x(0.0f), y(0.0f), z(0.0f) {};
68+
69+ Vec3f(float x_, float y_, float z_) {
70+ x = x_;
71+ y = y_;
72+ z = z_;
73+ }
74+
75+ Vec3f operator+(const Vec3f &o) const {
76+ return Vec3f(x + o.x, y + o.y, z + o.z);
77+ }
78+
79+ Vec3f operator-(const Vec3f &o) const {
80+ return Vec3f(x - o.x, y - o.y, z - o.z);
81+ }
82+
83+ Vec3f operator*(float s) const {
84+ return Vec3f(x * s, y * s, z * s);
85+ }
86+
87+ Vec3f operator/(float s) const {
88+ if (s != 0.0f) {
89+ return Vec3f(x / s, y / s, z / s);
90+ }
91+ return Vec3f();
92+ }
93+
94+ Vec3f normalized() const {
95+ float len = length();
96+ if (len > 0.0f) {
97+ return *this * (1.0f / len);
98+ }
99+ return Vec3f();
100+ }
101+
102+ float length() const {
103+ return sqrtf(x * x + y * y + z * z);
104+ }
105+
106+ Vec3f cross(const Vec3f &o) const {
107+ return Vec3f(y * o.z - z * o.y, z * o.x - x * o.z, x * o.y - y * o.x);
108+ }
109+
110+ float dot(const Vec3f &o) const {
111+ return x * o.x + y * o.y + z * o.z;
112+ }
113+
114+} vec3f;
115+
116+inline vec3f operator*(float s, const vec3f &v) {
117+ return {v.x * s, v.y * s, v.z * s};
118+}
119+
120+typedef struct Vec4f {
121+ float x = 0.0f;
122+ float y = 0.0f;
123+ float z = 0.0f;
124+ float w = 0.0f;
125+
126+ Vec4f() = default;
127+
128+ Vec4f(float x_, float y_, float z_, float w_) {
129+ x = x_;
130+ y = y_;
131+ z = z_;
132+ w = w_;
133+ }
134+
135+ // probably shouldn't be implicit? I like it though
136+ Vec4f(const vec3f &v, float w_ = 1.0f) {
137+ x = v.x;
138+ y = v.y;
139+ z = v.z;
140+ w = w_;
141+ }
142+
143+ Vec4f operator+(const Vec4f &o) const {
144+ return Vec4f(x + o.x, y + o.y, z + o.z, w + o.w);
145+ }
146+
147+ Vec4f operator*(float s) const {
148+ return Vec4f(x * s, y * s, z * s, w * s);
149+ }
150+
151+ Vec4f operator/(float s) const {
152+ return Vec4f(x / s, y / s, z / s, w / s);
153+ }
154+
155+ Vec4f operator-(const Vec4f &o) const {
156+ return Vec4f(x - o.x, y - o.y, z - o.z, w - o.w);
157+ }
158+
159+ inline Vec3f to_vec3() const {
160+ return vec3f(x, y, z);
161+ }
162+} vec4f;
163+
164+typedef struct Mat4 {
165+ // Row Major : m[row][col]
166+ //
167+ // Col0 Col1 Col2 Col3
168+ // |-----------|-----------|-----------|-----------|
169+ // Row0 | Xx | Xy | Xz | Xw |
170+ // Row1 | Yx | Yy | Yz | Yw |
171+ // Row2 | Zx | Zy | Zz | Zw |
172+ // Row3 | Wx | Wy | Wy | Ww |
173+ //
174+ // Flat memory order (16 floats):
175+ // Xx, Xy, Xz, Xw, Yx, Yy, Yz, Yw, Zx, Zy, Zz, Zw, Wx, Wy, Wz, Ww
176+
177+ float m[4][4];
178+
179+ static Mat4 zeroed() {
180+ // 0 0 0 0
181+ // 0 0 0 0
182+ // 0 0 0 0
183+ // 0 0 0 0
184+ Mat4 result;
185+ for (int i = 0; i < 4; ++i) {
186+ for (int j = 0; j < 4; ++j) {
187+ result.m[i][j] = 0.0f;
188+ }
189+ }
190+ return result;
191+ }
192+
193+ // 1 0 0 0
194+ // 0 1 0 0
195+ // 0 0 1 0
196+ // 0 0 0 1
197+ static Mat4 identity() {
198+ Mat4 result = Mat4::zeroed();
199+ for (int i = 0; i < 4; ++i) {
200+ result.m[i][i] = 1.0f;
201+ }
202+ return result;
203+ }
204+
205+ Mat4 operator*(const Mat4 &o) const {
206+ Mat4 r;
207+ for (int i = 0; i < 4; ++i) {
208+ for (int j = 0; j < 4; ++j) {
209+ float s = 0.0f;
210+ for (int k = 0; k < 4; ++k) {
211+ s += m[i][k] * o.m[k][j];
212+ }
213+ r.m[i][j] = s;
214+ }
215+ }
216+ return r;
217+ }
218+
219+ static Mat4 scale(float sx, float sy, float sz) {
220+ Mat4 r = Mat4::identity();
221+ // sx 0 0 0
222+ // 0 sy 0 0
223+ // 0 0 sz 0
224+ // 0 0 0 1
225+ r.m[0][0] = sx;
226+ r.m[1][1] = sy;
227+ r.m[2][2] = sz;
228+ return r;
229+ }
230+
231+ static Mat4 translate(float tx, float ty, float tz) {
232+ Mat4 r = Mat4::identity();
233+ // 1 0 0 0
234+ // 0 1 0 0
235+ // 0 0 1 0
236+ // tx ty tz 1
237+ r.m[3][0] = tx;
238+ r.m[3][1] = ty;
239+ r.m[3][2] = tz;
240+ return r;
241+ }
242+
243+ static Mat4 rotation_x(float a) {
244+ Mat4 r = Mat4::identity();
245+ // 0 0 0 0 // x axis
246+ // 0 cosf(a) -sinf(a) 0 // y axis
247+ // 0 cosf(a) cosf(a) 0 // z axis
248+ // 0 0 0 1
249+ r.m[1][1] = cosf(a);
250+ r.m[1][2] = sinf(a);
251+ r.m[2][1] = -sinf(a);
252+ r.m[2][2] = cosf(a);
253+ return r;
254+ }
255+
256+ static Mat4 rotation_y(float a) {
257+ Mat4 r = Mat4::identity();
258+ // cosf(a) 0 -sinf(a) 0 // x axis
259+ // 0 0 0 0 // y axis
260+ // sinf(a) 0 cosf(a) 0 // z axis
261+ // 0 0 0 1
262+
263+ r.m[0][0] = cosf(a);
264+ r.m[0][2] = -sinf(a);
265+ r.m[2][0] = sinf(a);
266+ r.m[2][2] = cosf(a);
267+ return r;
268+ }
269+
270+ static Mat4 rotation_z(float a) {
271+ // cosf(a) sinf(a) 0 0 // x axis
272+ // -sinf(a) cosf(a) 0 0 // y axis
273+ // 0 0 1 0 // z axis (lock)
274+ // 0 0 0 1
275+ Mat4 r = Mat4::identity();
276+ r.m[0][0] = cosf(a);
277+ r.m[0][1] = sinf(a);
278+ r.m[1][0] = -sinf(a);
279+ r.m[1][1] = cosf(a);
280+ return r;
281+ }
282+
283+ // Build a 4x4 rotation matrix around an arbitrary axis
284+ static Mat4 rotation_axis(const vec3f &axis, float angle_rad) {
285+ vec3f k = axis.normalized();
286+ float c = cosf(angle_rad);
287+ float s = sinf(angle_rad);
288+ float t = 1.0f - c;
289+
290+ float kx = k.x, ky = k.y, kz = k.z;
291+
292+ Mat4 R;
293+ R.m[0][0] = t * kx * kx + c;
294+ R.m[0][1] = t * kx * ky - s * kz;
295+ R.m[0][2] = t * kx * kz + s * ky;
296+ R.m[0][3] = 0.0f;
297+ // row 1
298+ R.m[1][0] = t * kx * ky + s * kz;
299+ R.m[1][1] = t * ky * ky + c;
300+ R.m[1][2] = t * ky * kz - s * kx;
301+ R.m[1][3] = 0.0f;
302+ // row 2
303+ R.m[2][0] = t * kx * kz - s * ky;
304+ R.m[2][1] = t * ky * kz + s * kx;
305+ R.m[2][2] = t * kz * kz + c;
306+ R.m[2][3] = 0.0f;
307+ // row 3
308+ R.m[3][0] = 0.0f;
309+ R.m[3][1] = 0.0f;
310+ R.m[3][2] = 0.0f;
311+ R.m[3][3] = 1.0f;
312+ return R;
313+ }
314+
315+ void transpose() {
316+ for (int i = 0; i < 4; ++i)
317+ for (int j = i + 1; j < 4; ++j) {
318+ float tmp = m[i][j];
319+ m[i][j] = m[j][i];
320+ m[j][i] = tmp;
321+ }
322+ }
323+} mat4;
324+
325+static inline vec4f operator*(const vec4f &v, const mat4 &m) {
326+ return vec4f(
327+ v.x * m.m[0][0] + v.y * m.m[1][0] + v.z * m.m[2][0] + v.w * m.m[3][0],
328+ v.x * m.m[0][1] + v.y * m.m[1][1] + v.z * m.m[2][1] + v.w * m.m[3][1],
329+ v.x * m.m[0][2] + v.y * m.m[1][2] + v.z * m.m[2][2] + v.w * m.m[3][2],
330+ v.x * m.m[0][3] + v.y * m.m[1][3] + v.z * m.m[2][3] + v.w * m.m[3][3]
331+ );
332+}
333+
334+static inline vec2f vec2f_lerp(const vec2f &a, const vec2f &b, float t) {
335+ return a * (1.0f - t) + b * t;
336+}
337+
338+static inline vec3f vec3f_lerp(const vec3f &a, const vec3f &b, float t) {
339+ return a * (1.0f - t) + b * t;
340+}
341+
342+static inline vec4f vec4f_lerp(const vec4f &a, const vec4f &b, float t) {
343+ return vec4f(
344+ a.x + (b.x - a.x) * t,
345+ a.y + (b.y - a.y) * t,
346+ a.z + (b.z - a.z) * t,
347+ a.w + (b.w - a.w) * t
348+ );
349+}