rasterizer
C++ software rendererInitial commit
| 31 files changed, 29962 insertions(+), 0 deletions(-) | |||
|---|---|---|---|
| ADD | .gitattributes | +4 | -0 |
| ADD | .gitignore | +5 | -0 |
| ADD | README.md | +77 | -0 |
| ADD | assets/Cube.mtl | +11 | -0 |
| ADD | assets/Cube.obj | +36 | -0 |
| ADD | assets/Default.png | +0 | -0 |
| ADD | assets/Duck.mtl | +13 | -0 |
| ADD | assets/Duck.obj | +11159 | -0 |
| ADD | assets/DuckCM.png | +0 | -0 |
| ADD | assets/Missing_t.png | +0 | -0 |
| ADD | assets/Plane.mtl | +11 | -0 |
| ADD | assets/Plane.obj | +17 | -0 |
| ADD | assets/Sphere.mtl | +2 | -0 |
| ADD | assets/Sphere.obj | +2537 | -0 |
| ADD | assets/Teapot.obj | +14385 | -0 |
| ADD | assets/Tri.obj | +9 | -0 |
| ADD | build_linux.sh | +56 | -0 |
| ADD | build_macos.sh | +56 | -0 |
| ADD | build_win32.bat | +81 | -0 |
| ADD | src/camera.cpp | +44 | -0 |
| ADD | src/camera.h | +16 | -0 |
| ADD | src/clip.cpp | +135 | -0 |
| ADD | src/clip.h | +25 | -0 |
| ADD | src/draw.cpp | +209 | -0 |
| ADD | src/draw.h | +18 | -0 |
| ADD | src/globals.h | +16 | -0 |
| ADD | src/mesh.cpp | +73 | -0 |
| ADD | src/mesh.h | +40 | -0 |
| ADD | src/renderer.cpp | +528 | -0 |
| ADD | src/renderer.h | +51 | -0 |
| ADD | src/util_math.h | +348 | -0 |
--- a/.gitattributes
+++ b/.gitattributes
@@ -0,0 +1,4 @@
+* text eol=lf
+*.bat text eol=crlf
+*.ps1 text eol=crlf
+*.sh text=auto eol=lfADD · .gitignore +5 -0--- a/.gitignore
+++ b/.gitignore
@@ -0,0 +1,5 @@
+bin/
+build/
+notes/
+external/
+third-party/ADD · README.md +77 -0--- a/README.md
+++ b/README.md
@@ -0,0 +1,77 @@
+### Overview
+
+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.
+
+- The rasterizer outputs to a color buffer that's blitted to the screen by `SDL_UpdateTexture()`.
+
+- Primitive assembly -> backface culling -> early near plane rejection -> frustum culling.
+
+- Clipping -> NDC and perspective -> depth test -> rasterize -> color buffer.
+
+- The math and the pipeline is handled internally. SDL handles window creation, input events and window surface updates.
+
+- 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`.
+
+- Currently the scene is hardcoded, just some .obj files that are parsed and loaded at runtime. No textures as of right now.
+
+- There is some initial perspective correct interpolation. I've only validated it with debug textures/patterns seems to check out though.
+
+- Contains a free cam and mouselook, typical `[W][A][S][D]` and `[Q][E]` for +Z, -Z respectively.
+
+### Local setup
+
+Build script for each platform, acquiring SDL is skipped. `-r` for the release build.
+
+**Windows**
+
+```
+.\build_win32.bat
+```
+
+**Linux**
+
+```
+./build_linux.sh
+```
+
+**MacOS**
+
+```
+./build_macos.sh
+```
+
+`/assets` holds the meshes. Scene composition is handled manually in `initialize_scene()`.
+
+### To-do
+
+- Texture sampling
+- Transparency and alpha blending
+- Shading
+- SIMD/Autovec
+
+### Resources
+
+- [OpenGL Specification](https://registry.khronos.org/OpenGL/specs/gl/glspec46.core.pdf)
+
+- [A trip through the Graphics Pipeline](https://fgiesen.wordpress.com/2011/07/09/a-trip-through-the-graphics-pipeline-2011-index/)
+
+- [Mathematics for 3D Game Programming and Computer Graphics, Third Edition](https://mathfor3dgameprogramming.com/)
+
+- [Clipping and culling overview](https://graphicscompendium.com/opengl/24-clipping-culling)
+
+- [Rasterization Overview](https://www.scratchapixel.com/lessons/3d-basic-rendering/rasterization-practical-implementation/overview-rasterization-algorithm.html)
+
+- [3D Clipping in Homogeneous Coordinates](https://chaosinmotion.com/2016/05/22/3d-clipping-in-homogeneous-coordinates/)
+
+- [Polygon Codec/Homogeneous clipping](https://fabiensanglard.net/polygon_codec/)
+
+- **Homogeneous Clipping** [Clipping using homogeneous coordinates (1978)](https://dl.acm.org/doi/pdf/10.1145/965139.807398)
+
+- [Perspective-Correct Interpolation](https://andrewkchan.dev/posts/perspective-interpolation.html)
+
+- [Bresenham's line algorithm](https://wikipedia.org/wiki/Bresenham%27s_line_algorithm)
+
+- [Sutherland–Hodgman algorithm](https://wikipedia.org/wiki/Sutherland%E2%80%93Hodgman_algorithm)
+
+- **Pineda Rasterization**: [A Parallel Algorithm for Polygon Rasterization (1988)](https://www.cs.drexel.edu/~deb39/Classes/Papers/comp175-06-pineda.pdf)
+ADD · assets/Cube.mtl +11 -0--- a/assets/Cube.mtl
+++ b/assets/Cube.mtl
@@ -0,0 +1,11 @@
+# www.blender.org
+
+newmtl default
+Ns 10.000005
+Ka 1.000000 1.000000 1.000000
+Ks 0.200000 0.200000 0.200000
+Ke 0.000000 0.000000 0.000000
+Ni 1.500000
+d 1.000000
+illum 2
+map_Kd Default.png<
\ No newline at end of fileADD · assets/Cube.obj +36 -0--- a/assets/Cube.obj
+++ b/assets/Cube.obj
@@ -0,0 +1,36 @@
+# Blender 4.5.3 LTS
+# www.blender.org
+mtllib Cube.mtl
+o cube
+v 0.500000 0.500000 0.500000
+v -0.500000 0.500000 0.500000
+v -0.500000 -0.500000 0.500000
+v 0.500000 -0.500000 0.500000
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+vn -0.0000 -0.0000 1.0000
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+vn -1.0000 -0.0000 -0.0000
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+vt 0.000000 1.000000
+vt 0.000000 0.000000
+vt 1.000000 0.000000
+vt 1.000000 1.000000
+s 1
+usemtl default
+f 1/1/1 2/2/1 3/3/1
+f 1/1/1 3/3/1 4/4/1
+f 1/1/2 5/2/2 6/3/2
+f 1/1/2 6/3/2 2/4/2
+f 3/1/3 7/2/3 8/3/3
+f 3/1/3 8/3/3 4/4/3
+f 4/1/4 8/2/4 5/3/4
+f 4/1/4 5/3/4 1/4/4
+f 2/1/5 6/2/5 7/3/5
+f 2/1/5 7/3/5 3/4/5
+f 6/1/6 5/2/6 8/3/6
+f 6/1/6 8/3/6 7/4/6<
\ No newline at end of fileADD · assets/Default.png +0 -0--- a/assets/Default.png
+++ b/assets/Default.pngADD · assets/Duck.mtl +13 -0--- a/assets/Duck.mtl
+++ b/assets/Duck.mtl
@@ -0,0 +1,13 @@
+# Blender 4.5.1 LTS MTL File: 'None'
+# www.blender.org
+
+newmtl blinn3-fx
+Ns 0.000000
+Ka 1.000000 1.000000 1.000000
+Kd 0.800000 0.800000 0.800000
+Ks 0.500000 0.500000 0.500000
+Ke 0.000000 0.000000 0.000000
+Ni 1.500000
+d 1.000000
+illum 2
+map_Kd DuckCM.png<
\ No newline at end of fileADD · assets/Duck.obj +11159 -0--- a/assets/Duck.obj
+++ b/assets/Duck.obj
@@ -0,0 +1,11159 @@
+# Blender 4.5.1 LTS
+# www.blender.org
+mtllib Duck.mtl
+o LOD3spShape
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+f 1342/1302/1284 1341/1301/1283 1344/1304/1286ADD · assets/DuckCM.png +0 -0--- a/assets/DuckCM.png
+++ b/assets/DuckCM.pngADD · assets/Missing_t.png +0 -0--- a/assets/Missing_t.png
+++ b/assets/Missing_t.pngADD · assets/Plane.mtl +11 -0--- a/assets/Plane.mtl
+++ b/assets/Plane.mtl
@@ -0,0 +1,11 @@
+# www.blender.org
+
+newmtl Plane
+Ns 10.000005
+Ka 1.000000 1.000000 1.000000
+Ks 0.200000 0.200000 0.200000
+Ke 0.000000 0.000000 0.000000
+Ni 1.500000
+d 1.000000
+illum 2
+map_Kd Default.png<
\ No newline at end of fileADD · assets/Plane.obj +17 -0--- a/assets/Plane.obj
+++ b/assets/Plane.obj
@@ -0,0 +1,17 @@
+# Blender 4.5.1 LTS
+# www.blender.org
+mtllib Plane.mtl
+o Plane
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+vt 1.000000 1.000000
+s 0
+usemtl Plane
+f 2/1/1 3/2/1 1/3/1
+f 2/1/1 4/4/1 3/2/1ADD · assets/Sphere.mtl +2 -0--- a/assets/Sphere.mtl
+++ b/assets/Sphere.mtl
@@ -0,0 +1,2 @@
+# Blender 4.5.1 LTS MTL File: 'None'
+# www.blender.orgADD · assets/Sphere.obj +2537 -0--- a/assets/Sphere.obj
+++ b/assets/Sphere.obj
@@ -0,0 +1,2537 @@
+# Blender 4.5.1 LTS
+# www.blender.org
+#mtllib sphere.mtl
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+++ b/assets/Teapot.obj
@@ -0,0 +1,14385 @@
+# Blender 4.5.1 LTS
+# www.blender.org
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+f 3001//4417 3004//4417 3022//4417ADD · assets/Tri.obj +9 -0--- a/assets/Tri.obj
+++ b/assets/Tri.obj
@@ -0,0 +1,9 @@
+# Blender 4.5.1 LTS
+# www.blender.org
+o tri
+v 0.000000 0.000000 0.000000
+v 0.000000 -1.000000 0.000000
+v 0.000000 0.000000 1.000000
+vn -1.0000 -0.0000 -0.0000
+s 0
+f 1//1 2//1 3//1ADD · build_linux.sh +56 -0--- a/build_linux.sh
+++ b/build_linux.sh
@@ -0,0 +1,56 @@
+#!/bin/bash
+set -e
+
+ROOT="$(dirname "$(realpath "$0")")"
+SRC_FILES="src/*.cpp"
+
+# =====================
+# ==== Parse flags ====
+# =====================
+for arg in "$@"; do
+ if [[ "$arg" == "-r" ]]; then
+ BUILD="Release"
+ fi
+done
+
+
+# ===================
+# === Directories ===
+# ===================
+mkdir -p build
+# mkdir -p external
+
+
+# ====================
+# === Dependencies ===
+# ====================
+# sudo apt install libsdl2-dev
+# sudo dnf install SDL2-devel
+SDL_CFLAGS=$(sdl2-config --cflags)
+SDL_LDFLAGS=$(sdl2-config --libs)
+
+
+# =========================
+# === Compilation Flags ===
+# =========================
+if [ "$BUILD" == "Release" ]; then
+ CFLAGS="-std=c++20 -O2"
+ LFLAGS=""
+else
+ CFLAGS="-std=c++20 -g -O0"
+ LFLAGS=""
+fi
+
+
+# ===================
+# === Compilation ===
+# ===================
+pushd build > /dev/null
+g++ \
+ $CFLAGS \
+ $SDL_CFLAGS \
+ $ROOT/$SRC_FILES \
+ $LFLAGS \
+ $SDL_LDFLAGS \
+ -o renderer
+popd > /dev/nullADD · build_macos.sh +56 -0--- a/build_macos.sh
+++ b/build_macos.sh
@@ -0,0 +1,56 @@
+#!/bin/bash
+set -e
+
+ROOT="$(dirname "$(realpath "$0")")"
+SRC_FILES="src/*.cpp"
+
+# =====================
+# ==== Parse flags ====
+# =====================
+for arg in "$@"; do
+ if [[ "$arg" == "-r" ]]; then
+ BUILD="Release"
+ fi
+done
+
+
+# ===================
+# === Directories ===
+# ===================
+[ ! -d "build" ] && mkdir build
+#[ ! -d "external" ] && mkdir external
+
+
+# ====================
+# === Dependencies ===
+# ====================
+# brew sdl2
+SDL_CFLAGS=$(sdl2-config --cflags)
+SDL_LDFLAGS=$(sdl2-config --libs)
+
+
+# =========================
+# === Compilation Flags ===
+# =========================
+if [ "$BUILD" == "Release" ]; then
+ CFLAGS="-std=c++20 -O2 -o renderer"
+ LFLAGS=""
+else
+ CFLAGS="-std=c++20 -g -O0 -o renderer"
+ LFLAGS=""
+fi
+
+
+# ===================
+# === Compilation ===
+# ===================
+#clang++ $CFLAGS $SDL_CFLAGS "$SRC_FILES" -o "$" $SDL_LDFLAGS
+
+pushd build > /dev/null
+clang++ \
+ $CFLAGS \
+ $SDL_CFLAGS \
+ $ROOT/$SRC_FILES \
+ $LFLAGS \
+ $SDL_LDFLAGS
+popd > /dev/nullADD · build_win32.bat +81 -0--- a/build_win32.bat
+++ b/build_win32.bat
@@ -0,0 +1,81 @@
+echo off
+setlocal enabledelayedexpansion
+
+set ROOT=%~dp0
+::set SRC_FILES=src\renderer.cpp
+set SRC_FILES=%ROOT%src\*.cpp
+
+
+:: =====================
+:: ==== Parse flags ====
+:: =====================
+for %%A in (%*) do (
+ if /I "%%~A"=="-r" set "BUILD=Release"
+)
+
+
+:: =====================
+:: === MSVC Nonsense ===
+:: =====================
+for /f "usebackq tokens=*" %%i in (`"%ProgramFiles(x86)%\Microsoft Visual Studio\Installer\vswhere.exe" -latest -property installationPath`) do (
+ set "VS_PATH=%%i"
+)
+if defined VS_PATH (
+ call "%VS_PATH%\VC\Auxiliary\Build\vcvarsall.bat" x64
+) else (
+ echo ERROR: Visual Studio installation not found.
+ exit /b 1
+)
+
+
+:: ===================
+:: === Directories ===
+:: ===================
+if not exist build mkdir build
+if not exist external mkdir external
+
+
+:: ====================
+:: === Dependencies ===
+:: ====================
+
+:: https://github.com/libsdl-org/SDL/releases/download/release-2.32.10/SDL2-devel-2.32.10-VC.zip
+if not exist external\SDL (
+ echo ERROR: %ROOT%external\SDL\ missing.
+ exit /b 1
+)
+
+:: =========================
+:: === Compilation Flags ===
+:: =========================
+
+:: /permissive- not really needed with "/std:c++20?"
+:: /arch:AVX2 /arch:AVX512
+:: /fp:fast /
+:: comp: /GL, link: /LTCG
+if "%BUILD%"=="Release" (
+ set CFLAGS=/std:c++20 /O2 /Oi /GR- /EHsc /permissive- /Fe:renderer.exe
+ set LFLAGS=/SUBSYSTEM:WINDOWS
+) else (
+ set CFLAGS=/std:c++20 /W4 /permissive- /Od /ZI /EHsc /Fe:renderer.exe
+ set LFLAGS=/SUBSYSTEM:CONSOLE /DEBUG
+)
+
+
+:: ===================
+:: === Compilation ===
+:: ===================
+pushd build
+cl %CFLAGS% ^
+ /I %ROOT%external\SDL\include %SRC_FILES% ^
+ /link %LFLAGS% ^
+ shell32.lib ^
+ %ROOT%external\SDL\lib\x64\SDL2main.lib ^
+ %ROOT%external\SDL\lib\x64\SDL2.lib
+popd
+
+
+:: ========================
+:: === Post compilation ===
+:: ========================
+copy /Y %ROOT%external\SDL\lib\x64\SDL2.dll build\ >nulADD · src/camera.cpp +44 -0--- a/src/camera.cpp
+++ b/src/camera.cpp
@@ -0,0 +1,44 @@
+#include "camera.h"
+
+#include "util_math.h"
+
+Mat4 perspective(float fov, float aspect, float near_plane, float far_plane) {
+ // far + near / far - near 0 0 -(2.0f * far * near)/ far - near) \\
+ // 0 near_plane / right 0 0 \\
+ // 0 0 near_plane / top 0 \\
+ // 1.0f 0 0 0 \\
+
+ Mat4 r = Mat4::zeroed();
+
+ float top = near_plane * tan(fov * 0.5f);
+ float right = top * aspect;
+
+ // X = depth
+ r.m[0][0] = (far_plane + near_plane) / (far_plane - near_plane);
+ r.m[0][3] = 1.0f; // w row
+ r.m[3][0] = -(2.0f * far_plane * near_plane) / (far_plane - near_plane);
+ // Y = Right
+ r.m[1][1] = near_plane / right;
+ // Z = up
+ r.m[2][2] = near_plane / top;
+
+ return r;
+};
+
+Mat4 lookAt(Camera *camera) {
+ vec3f f = camera->forward;
+ vec3f r = camera->right;
+ vec3f u = camera->up;
+ vec3f p = camera->position;
+
+ Mat4 view = Mat4::identity();
+ // mind the transpose here since its a complete inverse
+ view = {
+ {{f.x, r.x, u.x, 0.0}, // X+ forward row
+ {f.y, r.y, u.y, 0.0}, // Y- right row
+ {f.z, r.z, u.z, 0.0}, // Z+ up row
+ {-(f.dot(p)), -(r.dot(p)), -(u.dot(p)), 1.0f}} // negate cam world pos translateions
+ };
+
+ return view;
+};ADD · src/camera.h +16 -0--- a/src/camera.h
+++ b/src/camera.h
@@ -0,0 +1,16 @@
+#pragma once
+
+#include "util_math.h"
+
+struct Camera {
+ vec3f position;
+ vec3f forward;
+ vec3f right;
+ vec3f up;
+ float pitch;
+ float yaw;
+};
+
+Mat4 perspective(float fov, float aspect, float near_plane, float far_plane);
+
+Mat4 lookAt(Camera *camera);ADD · src/clip.cpp +135 -0--- a/src/clip.cpp
+++ b/src/clip.cpp
@@ -0,0 +1,135 @@
+#include "clip.h"
+
+#include <math.h>
+
+#include <vector>
+
+#include "util_math.h"
+
+using std::vector;
+
+// canonical view volume
+float plane_x_min(const vec4f &v) {
+ return v.w + v.x; // x >= -w
+}
+float plane_x_max(const vec4f &v) {
+ return v.w - v.x; // x <= w
+}
+float plane_y_min(const vec4f &v) {
+ return v.w + v.y; // y >= -w
+}
+float plane_y_max(const vec4f &v) {
+ return v.w - v.y; // y <= w
+}
+float plane_z_min(const vec4f &v) {
+ return v.w + v.z; // z >= -w
+}
+float plane_z_max(const vec4f &v) {
+ return v.w - v.z; // z <= w
+}
+
+// dead simple helpers to handle basic floating point precision on pushing
+inline bool almost_same(const vec4f &a, const vec4f &b, float eps = 1e-6f) {
+ return fabs(a.x - b.x) < eps &&
+ fabs(a.y - b.y) < eps &&
+ fabs(a.z - b.z) < eps &&
+ fabs(a.w - b.w) < eps;
+}
+
+inline void push_unique(vector<ClipVertex> &out, const ClipVertex &v) {
+ if (out.empty() || !almost_same(out.back().pos, v.pos)) {
+ out.push_back(v);
+ }
+}
+
+ClipVertex lerp_vert(const ClipVertex &a, const ClipVertex &b, float t) {
+ ClipVertex result;
+ result.pos = vec4f_lerp(a.pos, b.pos, t);
+ result.color = vec3f_lerp(a.color, b.color, t);
+ result.uv = vec2f_lerp(a.uv, b.uv, t);
+ result.normal = vec3f_lerp(a.normal, b.normal, t);
+ return result;
+}
+
+vector<ClipVertex> clip_against_plane(
+ const vector<ClipVertex> &polygon_in, float (*plane_dist)(const vec4f &)
+) {
+ vector<ClipVertex> clipped_polygon;
+ if (polygon_in.empty()) {
+ return clipped_polygon;
+ }
+
+ // prev vertex and distance to compare against
+ ClipVertex prev_vert = polygon_in.back();
+ float prev_dist = plane_dist(prev_vert.pos);
+ bool prev_inside = (prev_dist >= 0.0f);
+
+ // loop over each vertex to compare
+ for (size_t i = 0; i < polygon_in.size(); ++i) {
+ const ClipVertex &curr_vert = polygon_in[i];
+ float curr_dist = plane_dist(curr_vert.pos);
+ bool curr_inside = (curr_dist >= 0.0f);
+
+ // case 1: both prev and curr are inside the plane
+ // so the curr vertex also gets added to the new clipped polygon
+ // notes/clipping/9
+ if (prev_inside && curr_inside) {
+ push_unique(clipped_polygon, curr_vert);
+ }
+
+ // case 2: either vertex ends up inside while the other is outside the plane
+ // time to create a new vert on the intersection and add it to the new polygon
+ else if (prev_inside != curr_inside) {
+ float dist_difference = prev_dist - curr_dist;
+ float edge_interpolation_factor = prev_dist / (dist_difference);
+ ClipVertex intersect_vert = lerp_vert(prev_vert, curr_vert, edge_interpolation_factor);
+ push_unique(clipped_polygon, intersect_vert);
+
+ // case 3 (more like case 2.5): If the curr vertex is also already inside
+ // safely add it to the clipped polygon
+ // notes/clipping/10
+ if (curr_inside) {
+ push_unique(clipped_polygon, curr_vert);
+ }
+ }
+
+ // update prev_vert for the next iter
+ prev_vert = curr_vert;
+ prev_dist = curr_dist;
+ prev_inside = curr_inside;
+ }
+
+ return clipped_polygon;
+}
+
+// Clip space/Sutherland–Hodgman/Homogeneous clipping
+// clipping any polygon to the canonical view volume: -w <= x,y,z <= w.
+vector<ClipVertex> clip_polygon_with_attrs(
+ vec4f *clip_positions,
+ vec2f *input_uv,
+ vec3f input_color,
+ vec3f input_normal
+) {
+ vector<ClipVertex> clipped_vertices;
+ clipped_vertices.reserve(3);
+
+ for (int i = 0; i < 3; ++i) {
+ ClipVertex cv;
+ cv.pos = clip_positions[i];
+ cv.uv = input_uv[i];
+ cv.color = input_color;
+ cv.normal = input_normal;
+ clipped_vertices.push_back(cv);
+ }
+
+ clipped_vertices = clip_against_plane(clipped_vertices, plane_x_min);
+ clipped_vertices = clip_against_plane(clipped_vertices, plane_x_max);
+
+ clipped_vertices = clip_against_plane(clipped_vertices, plane_y_min);
+ clipped_vertices = clip_against_plane(clipped_vertices, plane_y_max);
+
+ clipped_vertices = clip_against_plane(clipped_vertices, plane_z_min);
+ clipped_vertices = clip_against_plane(clipped_vertices, plane_z_max);
+
+ return clipped_vertices; // could be empty if triangle fully outside
+}ADD · src/clip.h +25 -0--- a/src/clip.h
+++ b/src/clip.h
@@ -0,0 +1,25 @@
+#include <vector>
+
+#include "util_math.h"
+
+using std::vector;
+
+struct ClipVertex {
+ vec4f pos;
+ vec3f color;
+ vec3f normal;
+ vec2f uv;
+ float inv_w;
+};
+
+// canonical view volume
+float plane_x_min(const vec4f &v);
+float plane_x_max(const vec4f &v);
+float plane_y_min(const vec4f &v);
+float plane_y_max(const vec4f &v);
+float plane_z_min(const vec4f &v);
+float plane_z_max(const vec4f &v);
+
+vector<ClipVertex> clip_polygon_with_attrs(
+ vec4f *clip_positions, vec2f *input_uv, vec3f input_color, vec3f input_normal
+);ADD · src/draw.cpp +209 -0--- a/src/draw.cpp
+++ b/src/draw.cpp
@@ -0,0 +1,209 @@
+#include "draw.h"
+
+#include "globals.h"
+#include "util_math.h"
+
+static inline u32 vec3_to_u32RGBA(vec3f &c) {
+ u8 r = (u8)(c.x * 255.0f);
+ u8 g = (u8)(c.y * 255.0f);
+ u8 b = (u8)(c.z * 255.0f);
+ u8 a = 255;
+
+ u32 final_color = (r << 24) | (g << 16) | (b << 8) | a;
+ return final_color;
+};
+
+void clear_color_buffer(u32 color, Window *window) {
+ for (int i = 0; i < window->width * window->height; i++) {
+ window->back_buffer[i] = color;
+ };
+};
+
+// (0,0) bottom left, screen space origin
+// Y- in NDC is X+ in screen space
+// Z+ in NDC is Y+ in screen space
+static inline void draw_pixel(int x, int y, u32 color, Window *window) {
+ if (x >= 0 && x < window->width && y >= 0 && y < window->height) {
+ int flipped_y = (window->height - 1) - y;
+ window->back_buffer[(window->width * flipped_y) + x] = color;
+ };
+};
+
+void draw_rect(int x, int y, int width, int height, u32 color, Window *window) {
+ for (int i = 0; i < height; i++) {
+ for (int j = 0; j < width; j++) {
+ int offset_x = x + j;
+ int offset_y = y - i;
+ draw_pixel(offset_x, offset_y, color, window);
+ };
+ };
+};
+
+void draw_line_grid(u32 color, Window *window, u8 spacing = 10) {
+ for (int y = 0; y < window->height; y++) {
+ for (int x = 0; x < window->width; x++) {
+ if (x % spacing == 0 || y % spacing == 0) {
+ draw_pixel(x, y, color, window);
+ };
+ };
+ };
+};
+
+// Bresenham's Line Algorithm
+// https://wikipedia.org/wiki/Bresenham's_line_algorithm
+// TODO: Wu's whenever I add pure primitives toggling
+void draw_line(int x0, int y0, int x1, int y1, u32 color, Window *window) {
+ // differences
+ int delta_x = (x1 > x0) ? (x1 - x0) : (x0 - x1);
+ int delta_y = (y1 > y0) ? (y1 - y0) : (y0 - y1);
+ // direction
+ int step_x = (x0 < x1) ? 1 : -1;
+ int step_y = (y0 < y1) ? 1 : -1;
+ // error term, to adjust direction
+ int error_calib = delta_x - delta_y;
+
+ while (1) {
+ draw_pixel(x0, y0, color, window);
+ if (x0 == x1 && y0 == y1) {
+ break;
+ }
+ int error_double = 2 * error_calib;
+ if (error_double > -delta_y) {
+ error_calib -= delta_y;
+ x0 += step_x;
+ }
+ if (error_double < delta_x) {
+ error_calib += delta_x;
+ y0 += step_y;
+ };
+ };
+};
+
+static inline void process_fragment(int buff_idx, float pixel_depth, u32 pixel_color, Window *window) {
+ float current_depth_at_pixel = window->depth_buffer[buff_idx];
+ if (pixel_depth < current_depth_at_pixel) {
+ window->depth_buffer[buff_idx] = pixel_depth;
+ window->back_buffer[buff_idx] = pixel_color;
+ }
+}
+
+void rasterize_triangle(ScreenTriangle *tri, Window *window) {
+ vec3f v0 = tri->points[0];
+ vec3f v1 = tri->points[1];
+ vec3f v2 = tri->points[2];
+
+ float inv_w0 = tri->inv_w[0];
+ float inv_w1 = tri->inv_w[1];
+ float inv_w2 = tri->inv_w[2];
+
+ vec3f c0 = tri->color_over_w[0];
+ vec3f c1 = tri->color_over_w[1];
+ vec3f c2 = tri->color_over_w[2];
+
+ float ndc_depth0 = tri->ndc_depth[0];
+ float ndc_depth1 = tri->ndc_depth[1];
+ float ndc_depth2 = tri->ndc_depth[2];
+
+ vec2f uv_over_w0 = tri->uv_over_w[0];
+ vec2f uv_over_w1 = tri->uv_over_w[1];
+ vec2f uv_over_w2 = tri->uv_over_w[2];
+
+ // bounding box (expensive fmin, fmax here I think)
+ float minX_f = fmin(v0.x, fmin(v1.x, v2.x));
+ float minY_f = fmin(v0.y, fmin(v1.y, v2.y));
+ float maxX_f = fmax(v0.x, fmax(v1.x, v2.x));
+ float maxY_f = fmax(v0.y, fmax(v1.y, v2.y));
+
+ minX_f = fmax(0.0f, minX_f);
+ minY_f = fmax(0.0f, minY_f);
+ maxX_f = fmin(static_cast<float>(window->width - 1), maxX_f);
+ maxY_f = fmin(static_cast<float>(window->height - 1), maxY_f);
+
+ int minX = static_cast<int>(floor(minX_f));
+ int minY = static_cast<int>(floor(minY_f));
+ int maxX = static_cast<int>(ceil(maxX_f));
+ int maxY = static_cast<int>(ceil(maxY_f));
+
+ // edge coefficients (dY, -dX) pineda-style rasterization
+ float dX01 = v0.x - v1.x; // delta X (v0 to v1)
+ float dY01 = v0.y - v1.y; // delta Y (v0 to v1)
+ float dX12 = v1.x - v2.x; // delta X (v1 to v2)
+ float dY12 = v1.y - v2.y; // delta Y (v1 to v2)
+ float dX20 = v2.x - v0.x; // delta X (v2 to v0)
+ float dY20 = v2.y - v0.y; // delta Y (v2 to v0)
+
+ float triangleArea = (v1.y - v2.y) * (v0.x - v2.x) + (v2.x - v1.x) * (v0.y - v2.y);
+ if (fabs(triangleArea) < 1e-6f) { // degen triangle
+ return;
+ }
+ float invArea = 1.0f / triangleArea;
+
+ // center of the top-left pixel in the bounding box
+ vec2f pixel_start = {(float)minX + 0.5f, (float)minY + 0.5f};
+
+ // initial edge function (A0, B0, G0) for pixel_start
+ float E0 = (v1.y - v2.y) * (pixel_start.x - v2.x) + (v2.x - v1.x) * (pixel_start.y - v2.y);
+ float E1 = (v2.y - v0.y) * (pixel_start.x - v0.x) + (v0.x - v2.x) * (pixel_start.y - v0.y);
+ float E2 = (v0.y - v1.y) * (pixel_start.x - v1.x) + (v1.x - v0.x) * (pixel_start.y - v1.y);
+
+ // x delta step (move right one pixel)
+ float stepX0 = dY12;
+ float stepX1 = dY20;
+ float stepX2 = dY01;
+
+ // y delta step (move down one row)
+ float stepY0 = dX12;
+ float stepY1 = dX20;
+ float stepY2 = dX01;
+
+ float E0_row = E0;
+ float E1_row = E1;
+ float E2_row = E2;
+
+ for (int y = minY; y <= maxY; ++y) {
+ // reset
+ E0 = E0_row;
+ E1 = E1_row;
+ E2 = E2_row;
+
+ int flipped_y = (window->height - 1) - y; // draw_pixel origin convention
+ int row_start = flipped_y * window->width;
+
+ // inside tri
+ for (int x = minX; x <= maxX; ++x) {
+ if (E0 >= 0.0f && E1 >= 0.0f && E2 >= 0.0f) {
+ int buffer_idx = row_start + x;
+
+ // edge based barycentric coords eval
+ float alpha = E0 * invArea;
+ float beta = E1 * invArea;
+ float gamma = E2 * invArea;
+
+ // lerp the attribute accross the triangle's barycentric coords
+ float lerp_inv_w = alpha * inv_w0 + beta * inv_w1 + gamma * inv_w2;
+ float lerp_depth = alpha * ndc_depth0 + beta * ndc_depth1 + gamma * ndc_depth2;
+ vec2f lerp_uv = uv_over_w0 * alpha + uv_over_w1 * beta + uv_over_w2 * gamma;
+ vec3f lerped_color = alpha * c0 + beta * c1 + gamma * c2; // TODO: not needed, sample a texture by lerp_uv here
+
+ vec3f color = lerped_color / lerp_inv_w;
+ u32 u32_color = vec3_to_u32RGBA(color);
+ vec2f uv = lerp_uv / lerp_inv_w;
+
+ process_fragment(buffer_idx, lerp_depth, u32_color, window);
+ }
+
+ // increment edge functions
+ // advance right one pixel: x -> x + 1
+ E0 += stepX0;
+ E1 += stepX1;
+ E2 += stepX2;
+ }
+
+ // increment edge functions
+ // advance one row: y -> y + 1
+ // NOTE: Edge stepping for Y is subtraction since we start a triangle at top left (0, 0)
+ E0_row -= stepY0;
+ E1_row -= stepY1;
+ E2_row -= stepY2;
+ }
+}ADD · src/draw.h +18 -0--- a/src/draw.h
+++ b/src/draw.h
@@ -0,0 +1,18 @@
+#pragma once
+
+#include "globals.h"
+#include "util_math.h"
+#include "renderer.h"
+
+struct ScreenTriangle {
+ vec3f points[3];
+ vec2f uv_over_w[3];
+ vec3f color_over_w[3];
+ float inv_w[3];
+ float ndc_depth[3];
+};
+
+void clear_color_buffer(u32 color, Window *window);
+void draw_line_grid(u32 color, Window *window, u8 spacing);
+void draw_line(int x0, int y0, int x1, int y1, u32 color, Window *window);
+void rasterize_triangle(ScreenTriangle *tri, Window *window);ADD · src/globals.h +16 -0--- a/src/globals.h
+++ b/src/globals.h
@@ -0,0 +1,16 @@
+#include <stdint.h>
+
+typedef int8_t i8;
+typedef int16_t i16;
+typedef int32_t i32;
+typedef int64_t i64;
+typedef uint8_t u8;
+typedef uint16_t u16;
+typedef uint32_t u32;
+typedef uint64_t u64;
+typedef float f32;
+typedef double f64;
+
+#define static_global static
+#define static_local static
+#define static_internal staticADD · src/mesh.cpp +73 -0--- a/src/mesh.cpp
+++ b/src/mesh.cpp
@@ -0,0 +1,73 @@
+#include "mesh.h"
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include <vector>
+
+#include "util_math.h"
+
+using std::vector;
+
+Mesh parse_obj(const char *filename) {
+ Mesh mesh;
+
+ FILE *file = fopen(filename, "r");
+ if (!file) {
+ printf("Failed to open file: %s\n", filename);
+ return mesh;
+ }
+
+ char line[1024];
+ while (fgets(line, sizeof(line), file)) {
+ if (strncmp(line, "#", 2) == 0 || strncmp(line, "\n", 2) == 0) {
+ continue;
+ }
+ if (strncmp(line, "v ", 2) == 0) {
+ vec3f v;
+ sscanf(line, "v %f %f %f", &v.x, &v.y, &v.z);
+ mesh.vertices.push_back(v);
+ } else if (strncmp(line, "vt ", 3) == 0) {
+ vec2f vt;
+ sscanf(line, "vt %f %f", &vt.x, &vt.y);
+ mesh.texcoords.push_back(vt);
+ } else if (strncmp(line, "vn ", 3) == 0) {
+ vec3f vn;
+ sscanf(line, "vn %f %f %f", &vn.x, &vn.y, &vn.z);
+ mesh.normals.push_back(vn);
+ } else if (strncmp(line, "f ", 2) == 0) {
+ char *face_token = strtok(line + 2, " \n\r");
+ while (face_token) {
+ Face idx = {0, 0, 0};
+ int v = 0, vt = 0, vn = 0;
+
+ char *slash1 = strchr(face_token, '/');
+ if (slash1) {
+ *slash1 = '\0';
+ v = atoi(face_token);
+
+ char *slash2 = strchr(slash1 + 1, '/');
+ if (slash2) {
+ *slash2 = '\0';
+ vt = atoi(slash1 + 1);
+ vn = atoi(slash2 + 1);
+ } else {
+ vt = atoi(slash1 + 1);
+ }
+ } else {
+ v = atoi(face_token);
+ }
+
+ if (v > 0) idx.vertex_idx = v - 1;
+ if (vt > 0) idx.vertex_texture_idx = vt - 1;
+ if (vn > 0) idx.vertex_normal_idx = vn - 1;
+
+ mesh.faces.push_back(idx);
+ face_token = strtok(nullptr, " \n\r");
+ }
+ }
+ }
+ fclose(file);
+ return mesh;
+}ADD · src/mesh.h +40 -0--- a/src/mesh.h
+++ b/src/mesh.h
@@ -0,0 +1,40 @@
+#pragma once
+
+#include <vector>
+
+#include "util_math.h"
+
+using std::vector;
+
+struct Face {
+ int vertex_idx;
+ int vertex_texture_idx;
+ int vertex_normal_idx;
+};
+
+struct Transform {
+ vec3f position{4.0, 0, 0};
+ vec3f rotation{0, 0, 0};
+ vec3f scale{1.0, 1.0, 1.0};
+
+ Mat4 model_matrix() const {
+ Mat4 scale_matrix = Mat4::scale(scale.x, scale.y, scale.z);
+ Mat4 rx = Mat4::rotation_x(rotation.x);
+ Mat4 ry = Mat4::rotation_y(rotation.y);
+ Mat4 rz = Mat4::rotation_z(rotation.z);
+ Mat4 rotation_matrix = rx * ry * rz;
+ Mat4 translate_matrix = Mat4::translate(position.x, position.y, position.z);
+ return scale_matrix * rotation_matrix * translate_matrix;
+ }
+};
+
+struct Mesh {
+ vector<vec3f> vertices;
+ vector<vec2f> texcoords;
+ vector<vec3f> normals;
+ vector<Face> faces;
+ Transform transform;
+ vec3f color;
+};
+
+Mesh parse_obj(const char *filename);ADD · src/renderer.cpp +528 -0--- a/src/renderer.cpp
+++ b/src/renderer.cpp
@@ -0,0 +1,528 @@
+#include "renderer.h"
+
+#include <math.h>
+#include <stdio.h>
+
+#include <vector>
+
+#include "SDL.h"
+#include "camera.h"
+#include "clip.h"
+#include "draw.h"
+#include "util_math.h"
+#include "mesh.h"
+
+using std::vector;
+
+static_global Window window = {
+ .sdl_window = nullptr,
+ .renderer = nullptr,
+ .front_buffer = nullptr,
+ .back_buffer = nullptr,
+ .width = 1280,
+ .height = 800,
+};
+
+static_global Camera camera = {
+ .position = {-5.0, 0.0, 1.25},
+ .forward = {1.0, 0.0, 0.0},
+ .right = {0.0, -1.0, 0.0},
+ .up = {0.0, 0.0, 1.0},
+ .pitch = 0.0,
+ .yaw = 0.0,
+};
+
+static_global InputState input_state = {0};
+static_global bool IS_RUNNING = false;
+
+static_global float aspect = float(window.width) / float(window.height);
+static_global float fov_y = 59.0f * M_PI / 180.0f;
+static_global float grid_spacing = (fmin(window.width, window.height) / 2) / 10;
+
+// NOTE: should be like a module type thingy along with the entire pipeline?
+static_global vector<Mesh> scene; // vertex stage input
+static_global vector<ScreenTriangle> raster_queue; // raster stage input
+
+void initialize_scene() {
+ Mesh plane = parse_obj("../assets/Plane.obj");
+ scene.emplace_back(plane);
+ scene.back().transform.position = {0.0, 0.0, 0.0};
+ scene.back().transform.scale = {10.0, 10.0, 10.0};
+ scene.back().color = {0.1, 0.1, 0.1};
+
+ Mesh tri = parse_obj("../assets/Tri.obj");
+ scene.emplace_back(tri);
+ scene.back().transform.position = {3.0, 3.0, 1.5};
+ scene.back().transform.scale = {2.0, 2.0, 2.0};
+ scene.back().color = {0.0, 0.0, 0.5};
+
+ Mesh cube = parse_obj("../assets/Cube.obj");
+ scene.emplace_back(cube);
+ scene.back().transform.position = {3.0, -3.0, 1.0};
+ scene.back().color = {0.5, 0.0, 0.0};
+
+ Mesh duck = parse_obj("../assets/Duck.obj");
+ scene.emplace_back(duck);
+ scene.back().transform.position = {0.0, 3.0, 0.65};
+ scene.back().color = {0.5, 0.5, 0.0};
+
+ Mesh teapot = parse_obj("../assets/Teapot.obj");
+ scene.emplace_back(teapot);
+ scene.back().transform.position = {0.0, -3.0, 0.65};
+ scene.back().color = {0.0, 0.5, 0.0};
+}
+
+void update_scene() {
+ scene[1].transform.rotation.x += 0.01f;
+ scene[2].transform.rotation.y += 0.01f;
+ scene[3].transform.rotation.z += 0.01f;
+ scene[4].transform.rotation.z += 0.01f;
+}
+
+void process_input(void) {
+ // reset mouse delta
+ input_state.mouse_dx = 0;
+ input_state.mouse_dy = 0;
+
+ // mouse input
+ int x, y;
+ SDL_GetRelativeMouseState(&x, &y);
+ input_state.mouse_dx = x;
+ input_state.mouse_dy = y;
+
+ SDL_Event event;
+ while (SDL_PollEvent(&event)) {
+ switch (event.type) {
+ case SDL_QUIT:
+ IS_RUNNING = false;
+ break;
+ case SDL_KEYDOWN:
+ case SDL_KEYUP: {
+ bool is_down = (event.type == SDL_KEYDOWN);
+ switch (event.key.keysym.sym) {
+ case SDLK_ESCAPE:
+ IS_RUNNING = false;
+ break;
+ case SDLK_w:
+ input_state.move_forward = is_down;
+ break;
+ case SDLK_s:
+ input_state.move_backward = is_down;
+ break;
+ case SDLK_a:
+ input_state.move_left = is_down;
+ break;
+ case SDLK_d:
+ input_state.move_right = is_down;
+ break;
+ case SDLK_e:
+ input_state.move_down = is_down;
+ break;
+ case SDLK_q:
+ input_state.move_up = is_down;
+ break;
+ }
+ } break;
+ }
+ }
+}
+
+// same convention as rot functions in math.h
+// increasing angle == CCW rot, source
+void update_camera(float dt) {
+ float move_speed = 10.0f;
+ float mouse_sensitivity = 0.0025f;
+ float velocity = move_speed * dt;
+
+ camera.yaw -= input_state.mouse_dx * mouse_sensitivity;
+ camera.pitch -= input_state.mouse_dy * mouse_sensitivity;
+ camera.pitch = fmaxf(-1.5f, fminf(1.5f, camera.pitch));
+
+ // not the biggest fan of trig here,
+ // rather this than the matrices juggling
+ // perfect place to do quaternions later maybe
+ camera.forward = {
+ cosf(camera.pitch) * cosf(camera.yaw),
+ cosf(camera.pitch) * sinf(camera.yaw),
+ sinf(camera.pitch)
+ };
+
+ camera.forward = camera.forward.normalized();
+ camera.right = camera.forward.cross(vec3f(0.0, 0.0, 1.0)).normalized();
+ camera.up = camera.right.cross(camera.forward).normalized();
+
+ if (input_state.move_forward) {
+ camera.position = camera.position + camera.forward * velocity;
+ }
+ if (input_state.move_backward) {
+ camera.position = camera.position - camera.forward * velocity;
+ }
+ if (input_state.move_left) {
+ camera.position = camera.position - camera.right * velocity;
+ }
+ if (input_state.move_right) {
+ camera.position = camera.position + camera.right * velocity;
+ }
+ if (input_state.move_up) {
+ camera.position.z += velocity;
+ }
+ if (input_state.move_down) {
+ camera.position.z -= velocity;
+ }
+}
+
+inline vec3f project_to_screen(
+ const vec4f &clip_pos, const float &inv_w, int win_width, int win_height
+) {
+ // NDC construction, should remap to []
+ float ndc_x = clip_pos.x * inv_w; // NDC depth coordinate
+ float ndc_y = clip_pos.y * inv_w; // NDC screen X coordinate
+ float ndc_z = clip_pos.z * inv_w; // NDC screen Y coordinate
+
+ // screen space mapping (y is horizontal and z is vertical)
+ float screen_x = (ndc_y + 1.0f) * 0.5f * win_width;
+ float screen_y = (ndc_z + 1.0f) * 0.5f * win_height;
+
+ return {screen_x, screen_y, ndc_x};
+}
+
+void vertex_stage(
+ Mesh &m, Camera &camera, float fov_y, float aspect, vector<vec3f> &world_verts,
+ vector<vec3f> &view_verts
+) {
+ world_verts.resize(m.vertices.size());
+ view_verts.resize(m.vertices.size());
+
+ mat4 world_mat = m.transform.model_matrix();
+ mat4 view_mat = lookAt(&camera);
+
+ for (int i = 0; i < m.vertices.size(); i++) {
+ vec4f obj_v = vec4f(m.vertices[i], 1.0f);
+
+ // world space
+ vec4f world_v = obj_v * world_mat;
+ world_verts[i] = vec3f(world_v.x, world_v.y, world_v.z);
+
+ // view space
+ vec4f view_v = world_v * view_mat;
+ view_verts[i] = vec3f(view_v.x, view_v.y, view_v.z);
+ }
+}
+
+// just bool wrappers over the same planes defined for clipping
+bool inside_x_min(const vec4f &v) {
+ return plane_x_min(v) >= 0.0f;
+}
+bool inside_x_max(const vec4f &v) {
+ return plane_x_max(v) >= 0.0f;
+}
+bool inside_y_min(const vec4f &v) {
+ return plane_y_min(v) >= 0.0f;
+}
+bool inside_y_max(const vec4f &v) {
+ return plane_y_max(v) >= 0.0f;
+}
+bool inside_z_min(const vec4f &v) {
+ return plane_z_min(v) >= 0.0f;
+}
+bool inside_z_max(const vec4f &v) {
+ return plane_z_max(v) >= 0.0f;
+}
+
+enum FrustumStatus {
+ Outside,
+ Inside,
+ Straddle
+};
+
+FrustumStatus triangle_frustum_status(const vec4f verts[3]) {
+ bool any_straddle = false;
+
+ bool (*planes[6])(const vec4f &) = {
+ inside_x_min,
+ inside_x_max,
+ inside_y_min,
+ inside_y_max,
+ inside_z_min,
+ inside_z_max
+ };
+
+ for (int p = 0; p < 6; p++) {
+ int inside = 0;
+ int outside = 0;
+
+ for (int i = 0; i < 3; i++) {
+ if (planes[p](verts[i])) {
+ inside++;
+ } else {
+ outside++;
+ }
+ }
+
+ if (outside == 3) {
+ return Outside;
+ }
+
+ if (inside > 0 && outside > 0) {
+ any_straddle = true;
+ }
+ }
+
+ return any_straddle ? Straddle : Inside;
+}
+
+static inline vec2f get_uv(const vector<vec2f> &texcoords, int idx) {
+ if (idx >= 0 && idx < (int)texcoords.size()) {
+ return texcoords[idx];
+ }
+ return vec2f(0.0f, 0.0f);
+}
+
+void run_pipeline(void) {
+ raster_queue.clear();
+
+ mat4 projection_matrix = perspective(fov_y, aspect, 0.1f, 5000.0f);
+
+ // NOTE: not 100% sold on the static here, look into this
+ static_local vector<vec3f> world_verts;
+ static_local vector<vec3f> view_verts;
+ static_local vector<ClipVertex> clip_verts;
+
+ for (int mesh_idx = 0; mesh_idx < scene.size(); mesh_idx++) {
+ Mesh &m = scene[mesh_idx];
+
+ world_verts.resize(m.vertices.size());
+ view_verts.resize(m.vertices.size());
+ clip_verts.resize(m.vertices.size());
+
+ vertex_stage(m, camera, fov_y, aspect, world_verts, view_verts);
+
+ for (int i = 0; i < m.faces.size(); i += 3) {
+ Face f0 = m.faces[i + 0];
+ Face f1 = m.faces[i + 1];
+ Face f2 = m.faces[i + 2];
+
+ // populated by vertex_stage()
+ vec3f v0_view = view_verts[f0.vertex_idx];
+ vec3f v1_view = view_verts[f1.vertex_idx];
+ vec3f v2_view = view_verts[f2.vertex_idx];
+
+ vec3f v0_world = world_verts[f0.vertex_idx];
+ vec3f v1_world = world_verts[f1.vertex_idx];
+ vec3f v2_world = world_verts[f2.vertex_idx];
+
+ // TODO: use the Mesh vertex normal
+ vec3f world_edge1 = v1_world - v0_world;
+ vec3f world_edge2 = v2_world - v0_world;
+ vec3f face_normal = world_edge2.cross(world_edge1).normalized();
+
+ // backface culling (view space)
+ vec3f tri_edge1 = v1_view - v0_view;
+ vec3f tri_edge2 = v2_view - v0_view;
+ vec3f tri_normal = tri_edge2.cross(tri_edge1).normalized();
+ if (tri_normal.dot(v0_view) >= 0.0f) {
+ continue;
+ }
+
+ // early and cheap near plane rejection (view space)
+ const float near_plane_dist = 0.1f; // same as proj_mat
+ int behind_vert_count = 0;
+ if (v0_view.x < near_plane_dist) {
+ behind_vert_count++;
+ }
+ if (v1_view.x < near_plane_dist) {
+ behind_vert_count++;
+ }
+ if (v2_view.x < near_plane_dist) {
+ behind_vert_count++;
+ }
+ if (behind_vert_count == 3) {
+ continue;
+ }
+
+ // only the worthy go further (clip space)
+ vec4f v0_clip = vec4f(v0_view, 1.0f) * projection_matrix;
+ vec4f v1_clip = vec4f(v1_view, 1.0f) * projection_matrix;
+ vec4f v2_clip = vec4f(v2_view, 1.0f) * projection_matrix;
+
+ vec4f tri_clip[3] = {v0_clip, v1_clip, v2_clip}; // clip space tri
+ vec2f tri_uv[3] = {
+ get_uv(m.texcoords, f0.vertex_texture_idx),
+ get_uv(m.texcoords, f1.vertex_texture_idx),
+ get_uv(m.texcoords, f2.vertex_texture_idx)
+ };
+
+ FrustumStatus status = triangle_frustum_status(tri_clip);
+ if (status == Outside) {
+ continue; // reject
+ }
+
+ clip_verts.clear();
+ if (status == Inside) {
+ clip_verts.reserve(3);
+ for (int vi = 0; vi < 3; vi++) {
+ ClipVertex cv;
+ cv.pos = tri_clip[vi];
+ cv.color = m.color;
+ cv.normal = tri_normal;
+ cv.uv = tri_uv[vi];
+ clip_verts.push_back(cv);
+ }
+ } else {
+ // straddle case
+ // expernsive 6 plane clipping so get here if all else fails
+ clip_verts = clip_polygon_with_attrs(tri_clip, tri_uv, m.color, face_normal);
+ if (clip_verts.size() < 3) {
+ continue;
+ }
+ }
+
+ for (int k = 1; k < clip_verts.size() - 1; ++k) {
+ // NOTE: rudimentary triangulation, not sure if somethin more robust is used or
+ // needed tbh. Look into it
+ const ClipVertex &cv0 = clip_verts[0];
+ const ClipVertex &cvk = clip_verts[k];
+ const ClipVertex &cvk1 = clip_verts[k + 1];
+
+ ScreenTriangle tri;
+
+ const ClipVertex cvs[3] = {cv0, cvk, cvk1};
+ for (int i = 0; i < 3; ++i) {
+ const vec4f &p = cvs[i].pos;
+ float inv_w = 1.0f / p.w;
+ vec3f ndc = project_to_screen(p, inv_w, window.width, window.height);
+
+ tri.points[i] = ndc;
+ tri.inv_w[i] = 1.0f / cvs[i].pos.w;
+ tri.uv_over_w[i] = cvs[i].uv * inv_w;
+ tri.color_over_w[i] = cvs[i].color * inv_w;
+ tri.ndc_depth[i] = ndc.z;
+ }
+ raster_queue.push_back(tri);
+ }
+ }
+ }
+}
+
+void rasterize(void) {
+ clear_color_buffer(0x00000000, &window);
+
+ // clear depth buffer
+ for (int i = 0; i < window.width * window.height; ++i) {
+ // NOTE: look into log depth
+ window.depth_buffer[i] = 1.0f;
+ }
+
+ draw_line_grid(0x252525FF, &window, grid_spacing);
+ draw_line(window.width / 2, window.height, window.width / 2, 0, 0x656565FF, &window);
+ draw_line(0, window.height / 2, window.width, window.height / 2, 0x656565FF, &window);
+
+ for (int i = 0; i < raster_queue.size(); i++) {
+ ScreenTriangle &triangle = raster_queue[i];
+ // TODO: toggle primitives
+
+ // triangle primitives
+ rasterize_triangle(&triangle, &window);
+
+ // line primitives
+ // const u32 line_color = 0x000000FF;
+ // draw_line(
+ // triangle.points[0].x,
+ // triangle.points[0].y,
+ // triangle.points[1].x,
+ // triangle.points[1].y,
+ // line_color,
+ // &window
+ // );
+ // draw_line(
+ // triangle.points[1].x,
+ // triangle.points[1].y,
+ // triangle.points[2].x,
+ // triangle.points[2].y,
+ // line_color,
+ // &window
+ // );
+ // draw_line(
+ // triangle.points[2].x,
+ // triangle.points[2].y,
+ // triangle.points[0].x,
+ // triangle.points[0].y,
+ // line_color,
+ // &window
+ // );
+
+ // points primitives
+ // draw_rect(triangle.points[0].x, triangle.points[0].y, 5, 5, line_color, &window);
+ // draw_rect(triangle.points[1].x, triangle.points[1].y, 5, 5, line_color, &window);
+ // draw_rect(triangle.points[2].x, triangle.points[2].y, 5, 5, line_color, &window);
+ }
+
+ // blit the color buffer onto a texture
+ // basically the present frame stage in a pipeline
+ SDL_RenderPresent(window.renderer);
+ SDL_UpdateTexture(window.front_buffer, nullptr, window.back_buffer, (int)(window.width * sizeof(u32)));
+ SDL_RenderCopy(window.renderer, window.front_buffer, nullptr, nullptr);
+}
+
+int main(int argc, char *argv[]) {
+ // init sdl
+ if (SDL_Init(SDL_INIT_VIDEO != 0 || SDL_INIT_EVENTS) != 0) {
+ printf("SDL_Init failed: %s\n", SDL_GetError());
+ return -1;
+ }
+ window.sdl_window = SDL_CreateWindow(
+ "cpp-rasterizer",
+ SDL_WINDOWPOS_CENTERED,
+ SDL_WINDOWPOS_CENTERED,
+ window.width,
+ window.height,
+ SDL_WINDOW_SHOWN
+ );
+ if (!window.sdl_window) {
+ printf("SDL_CreateWindow failed: %s\n", SDL_GetError());
+ return -1;
+ }
+ window.renderer = SDL_CreateRenderer(window.sdl_window, -1, 0);
+ if (!window.renderer) {
+ printf("SDL_CreateRenderer failed: %s\n", SDL_GetError());
+ return -1;
+ }
+ window.front_buffer = SDL_CreateTexture(
+ window.renderer,
+ SDL_PIXELFORMAT_RGBA8888,
+ SDL_TEXTUREACCESS_STREAMING,
+ window.width,
+ window.height
+ );
+ if (!window.front_buffer) {
+ printf("Error creating SDL texture: %s\n", SDL_GetError());
+ }
+ SDL_SetRelativeMouseMode(SDL_TRUE);
+
+ // init globals
+ window.back_buffer = (u32 *)malloc(sizeof(u32) * window.height * window.width);
+ window.depth_buffer = (float *)malloc(sizeof(float) * window.height * window.width);
+ initialize_scene();
+ IS_RUNNING = true;
+
+ u32 last_frame_time = 0;
+ float delta_time = 0.0f;
+ while (IS_RUNNING) {
+ u32 current_time = SDL_GetTicks();
+ delta_time = (current_time - last_frame_time) / 1000.0f;
+ last_frame_time = current_time;
+ update_scene();
+ process_input();
+ update_camera(delta_time);
+ run_pipeline();
+ rasterize();
+ }
+
+ free(window.depth_buffer);
+ free(window.back_buffer);
+ SDL_DestroyRenderer(window.renderer);
+ SDL_DestroyWindow(window.sdl_window);
+ SDL_Quit();
+
+ return 0;
+}ADD · src/renderer.h +51 -0--- a/src/renderer.h
+++ b/src/renderer.h
@@ -0,0 +1,51 @@
+#pragma once
+
+#include <SDL.h>
+#include <stdint.h>
+
+typedef int8_t i8;
+typedef int16_t i16;
+typedef int32_t i32;
+typedef int64_t i64;
+typedef uint8_t u8;
+typedef uint16_t u16;
+typedef uint32_t u32;
+typedef uint64_t u64;
+typedef float f32;
+typedef double f64;
+
+#define static_global static
+#define static_local static
+#define static_internal static
+
+// could manually blit instead of using SDL_Renderer, but there's no point?
+// GPU gets used to composite the window anyway.
+// The only added step after skipping SDL_Renderer would be walking color_buffer and
+// memcpying by the stride
+struct Window {
+ SDL_Window *sdl_window;
+ SDL_Renderer *renderer;
+ SDL_Texture *front_buffer;
+ u32 *back_buffer;
+ float *depth_buffer;
+ int width;
+ int height;
+};
+
+struct InputState {
+ bool move_forward;
+ bool move_backward;
+ bool move_left;
+ bool move_right;
+ bool move_up;
+ bool move_down;
+ int mouse_dx;
+ int mouse_dy;
+};
+
+struct Camera;
+struct ClipVertex;
+struct ScreenTriangle;
+struct Face;
+struct Transform;
+struct Mesh;ADD · src/util_math.h +348 -0--- a/src/util_math.h
+++ b/src/util_math.h
@@ -0,0 +1,348 @@
+#pragma once
+
+#include <math.h>
+
+typedef struct Vec2f {
+ union {
+ struct {
+ float x, y;
+ };
+ struct {
+ float u, v;
+ };
+ };
+
+ Vec2f() : x(0.0f), y(0.0f) {};
+
+ Vec2f(float x_, float y_) {
+ x = x_;
+ y = y_;
+ }
+
+ Vec2f operator+(const Vec2f &other) const {
+ return Vec2f(x + other.x, y + other.y);
+ }
+
+ Vec2f operator-(const Vec2f &other) const {
+ return Vec2f(x - other.x, y - other.y);
+ }
+
+ Vec2f operator*(float s) const {
+ return Vec2f(x * s, y * s);
+ }
+
+ Vec2f operator/(float s) const {
+ if (s != 0.0f) {
+ return Vec2f(x / s, y / s);
+ }
+ return Vec2f();
+ }
+
+ Vec2f normalized() const {
+ float len = length();
+ return (len > 0) ? (*this * (1.0f / len)) : Vec2f();
+ }
+
+ float dot(const Vec2f &other) const {
+ return x * other.x + y * other.y;
+ }
+
+ float length() const {
+ return sqrtf(x * x + y * y);
+ }
+
+} vec2f;
+
+typedef struct Vec3f {
+ union {
+ struct {
+ float x, y, z;
+ };
+ struct {
+ float r, g, b;
+ };
+ };
+
+ Vec3f() : x(0.0f), y(0.0f), z(0.0f) {};
+
+ Vec3f(float x_, float y_, float z_) {
+ x = x_;
+ y = y_;
+ z = z_;
+ }
+
+ Vec3f operator+(const Vec3f &o) const {
+ return Vec3f(x + o.x, y + o.y, z + o.z);
+ }
+
+ Vec3f operator-(const Vec3f &o) const {
+ return Vec3f(x - o.x, y - o.y, z - o.z);
+ }
+
+ Vec3f operator*(float s) const {
+ return Vec3f(x * s, y * s, z * s);
+ }
+
+ Vec3f operator/(float s) const {
+ if (s != 0.0f) {
+ return Vec3f(x / s, y / s, z / s);
+ }
+ return Vec3f();
+ }
+
+ Vec3f normalized() const {
+ float len = length();
+ if (len > 0.0f) {
+ return *this * (1.0f / len);
+ }
+ return Vec3f();
+ }
+
+ float length() const {
+ return sqrtf(x * x + y * y + z * z);
+ }
+
+ Vec3f cross(const Vec3f &o) const {
+ return Vec3f(y * o.z - z * o.y, z * o.x - x * o.z, x * o.y - y * o.x);
+ }
+
+ float dot(const Vec3f &o) const {
+ return x * o.x + y * o.y + z * o.z;
+ }
+
+} vec3f;
+
+inline vec3f operator*(float s, const vec3f &v) {
+ return {v.x * s, v.y * s, v.z * s};
+}
+
+typedef struct Vec4f {
+ float x = 0.0f;
+ float y = 0.0f;
+ float z = 0.0f;
+ float w = 0.0f;
+
+ Vec4f() = default;
+
+ Vec4f(float x_, float y_, float z_, float w_) {
+ x = x_;
+ y = y_;
+ z = z_;
+ w = w_;
+ }
+
+ // probably shouldn't be implicit? I like it though
+ Vec4f(const vec3f &v, float w_ = 1.0f) {
+ x = v.x;
+ y = v.y;
+ z = v.z;
+ w = w_;
+ }
+
+ Vec4f operator+(const Vec4f &o) const {
+ return Vec4f(x + o.x, y + o.y, z + o.z, w + o.w);
+ }
+
+ Vec4f operator*(float s) const {
+ return Vec4f(x * s, y * s, z * s, w * s);
+ }
+
+ Vec4f operator/(float s) const {
+ return Vec4f(x / s, y / s, z / s, w / s);
+ }
+
+ Vec4f operator-(const Vec4f &o) const {
+ return Vec4f(x - o.x, y - o.y, z - o.z, w - o.w);
+ }
+
+ inline Vec3f to_vec3() const {
+ return vec3f(x, y, z);
+ }
+} vec4f;
+
+typedef struct Mat4 {
+ // Row Major : m[row][col]
+ //
+ // Col0 Col1 Col2 Col3
+ // |-----------|-----------|-----------|-----------|
+ // Row0 | Xx | Xy | Xz | Xw |
+ // Row1 | Yx | Yy | Yz | Yw |
+ // Row2 | Zx | Zy | Zz | Zw |
+ // Row3 | Wx | Wy | Wy | Ww |
+ //
+ // Flat memory order (16 floats):
+ // Xx, Xy, Xz, Xw, Yx, Yy, Yz, Yw, Zx, Zy, Zz, Zw, Wx, Wy, Wz, Ww
+
+ float m[4][4];
+
+ static Mat4 zeroed() {
+ // 0 0 0 0
+ // 0 0 0 0
+ // 0 0 0 0
+ // 0 0 0 0
+ Mat4 result;
+ for (int i = 0; i < 4; ++i) {
+ for (int j = 0; j < 4; ++j) {
+ result.m[i][j] = 0.0f;
+ }
+ }
+ return result;
+ }
+
+ // 1 0 0 0
+ // 0 1 0 0
+ // 0 0 1 0
+ // 0 0 0 1
+ static Mat4 identity() {
+ Mat4 result = Mat4::zeroed();
+ for (int i = 0; i < 4; ++i) {
+ result.m[i][i] = 1.0f;
+ }
+ return result;
+ }
+
+ Mat4 operator*(const Mat4 &o) const {
+ Mat4 r;
+ for (int i = 0; i < 4; ++i) {
+ for (int j = 0; j < 4; ++j) {
+ float s = 0.0f;
+ for (int k = 0; k < 4; ++k) {
+ s += m[i][k] * o.m[k][j];
+ }
+ r.m[i][j] = s;
+ }
+ }
+ return r;
+ }
+
+ static Mat4 scale(float sx, float sy, float sz) {
+ Mat4 r = Mat4::identity();
+ // sx 0 0 0
+ // 0 sy 0 0
+ // 0 0 sz 0
+ // 0 0 0 1
+ r.m[0][0] = sx;
+ r.m[1][1] = sy;
+ r.m[2][2] = sz;
+ return r;
+ }
+
+ static Mat4 translate(float tx, float ty, float tz) {
+ Mat4 r = Mat4::identity();
+ // 1 0 0 0
+ // 0 1 0 0
+ // 0 0 1 0
+ // tx ty tz 1
+ r.m[3][0] = tx;
+ r.m[3][1] = ty;
+ r.m[3][2] = tz;
+ return r;
+ }
+
+ static Mat4 rotation_x(float a) {
+ Mat4 r = Mat4::identity();
+ // 0 0 0 0 // x axis
+ // 0 cosf(a) -sinf(a) 0 // y axis
+ // 0 cosf(a) cosf(a) 0 // z axis
+ // 0 0 0 1
+ r.m[1][1] = cosf(a);
+ r.m[1][2] = sinf(a);
+ r.m[2][1] = -sinf(a);
+ r.m[2][2] = cosf(a);
+ return r;
+ }
+
+ static Mat4 rotation_y(float a) {
+ Mat4 r = Mat4::identity();
+ // cosf(a) 0 -sinf(a) 0 // x axis
+ // 0 0 0 0 // y axis
+ // sinf(a) 0 cosf(a) 0 // z axis
+ // 0 0 0 1
+
+ r.m[0][0] = cosf(a);
+ r.m[0][2] = -sinf(a);
+ r.m[2][0] = sinf(a);
+ r.m[2][2] = cosf(a);
+ return r;
+ }
+
+ static Mat4 rotation_z(float a) {
+ // cosf(a) sinf(a) 0 0 // x axis
+ // -sinf(a) cosf(a) 0 0 // y axis
+ // 0 0 1 0 // z axis (lock)
+ // 0 0 0 1
+ Mat4 r = Mat4::identity();
+ r.m[0][0] = cosf(a);
+ r.m[0][1] = sinf(a);
+ r.m[1][0] = -sinf(a);
+ r.m[1][1] = cosf(a);
+ return r;
+ }
+
+ // Build a 4x4 rotation matrix around an arbitrary axis
+ static Mat4 rotation_axis(const vec3f &axis, float angle_rad) {
+ vec3f k = axis.normalized();
+ float c = cosf(angle_rad);
+ float s = sinf(angle_rad);
+ float t = 1.0f - c;
+
+ float kx = k.x, ky = k.y, kz = k.z;
+
+ Mat4 R;
+ R.m[0][0] = t * kx * kx + c;
+ R.m[0][1] = t * kx * ky - s * kz;
+ R.m[0][2] = t * kx * kz + s * ky;
+ R.m[0][3] = 0.0f;
+ // row 1
+ R.m[1][0] = t * kx * ky + s * kz;
+ R.m[1][1] = t * ky * ky + c;
+ R.m[1][2] = t * ky * kz - s * kx;
+ R.m[1][3] = 0.0f;
+ // row 2
+ R.m[2][0] = t * kx * kz - s * ky;
+ R.m[2][1] = t * ky * kz + s * kx;
+ R.m[2][2] = t * kz * kz + c;
+ R.m[2][3] = 0.0f;
+ // row 3
+ R.m[3][0] = 0.0f;
+ R.m[3][1] = 0.0f;
+ R.m[3][2] = 0.0f;
+ R.m[3][3] = 1.0f;
+ return R;
+ }
+
+ void transpose() {
+ for (int i = 0; i < 4; ++i)
+ for (int j = i + 1; j < 4; ++j) {
+ float tmp = m[i][j];
+ m[i][j] = m[j][i];
+ m[j][i] = tmp;
+ }
+ }
+} mat4;
+
+static inline vec4f operator*(const vec4f &v, const mat4 &m) {
+ return vec4f(
+ v.x * m.m[0][0] + v.y * m.m[1][0] + v.z * m.m[2][0] + v.w * m.m[3][0],
+ v.x * m.m[0][1] + v.y * m.m[1][1] + v.z * m.m[2][1] + v.w * m.m[3][1],
+ v.x * m.m[0][2] + v.y * m.m[1][2] + v.z * m.m[2][2] + v.w * m.m[3][2],
+ v.x * m.m[0][3] + v.y * m.m[1][3] + v.z * m.m[2][3] + v.w * m.m[3][3]
+ );
+}
+
+static inline vec2f vec2f_lerp(const vec2f &a, const vec2f &b, float t) {
+ return a * (1.0f - t) + b * t;
+}
+
+static inline vec3f vec3f_lerp(const vec3f &a, const vec3f &b, float t) {
+ return a * (1.0f - t) + b * t;
+}
+
+static inline vec4f vec4f_lerp(const vec4f &a, const vec4f &b, float t) {
+ return vec4f(
+ a.x + (b.x - a.x) * t,
+ a.y + (b.y - a.y) * t,
+ a.z + (b.z - a.z) * t,
+ a.w + (b.w - a.w) * t
+ );
+}