Updated and added light & shading, meshes and texture functionality

.gitignore

@@ -1,6 +1,7 @@
 # Ignore all editor files
 *.swp
 *.swo
+*.idea
 
 # Allowed files
 !*.c

src/array.c

@@ -38,3 +38,19 @@ void array_free(void* array) {
         free(ARRAY_RAW_DATA(array));
     }
 }
+
+void arr_swap(triangle_t *array, int i, int j) {
+    triangle_t tmp = array[i];
+    array[i] = array[j];
+    array[j] = tmp;
+}
+
+void avg_depth_bubble_sort(triangle_t array[], int item_size) {
+    for (int i = 0; i < item_size - 1; i++) {
+        for (int j = 0; j < item_size - 1; j++) {
+            if (array[j].avg_depth < array[j + 1].avg_depth) {
+                arr_swap(array, j, j + 1);
+            }
+        }
+    }
+}

src/array.h

@@ -1,6 +1,7 @@
 #ifndef ARRAY_H
 #define ARRAY_H
 
+#include "triangle.h"
 #define array_push(array, value)                                              \
     do {                                                                      \
         (array) = array_hold((array), 1, sizeof(*(array)));                   \
@@ -10,5 +11,8 @@
 void* array_hold(void* array, int count, int item_size);
 int array_length(void* array);
 void array_free(void* array);
+void arr_swap(triangle_t *array, int i, int j);
+// I think int array[] is just syntax sugar for void* array as an array just decays to a pointer to the first value?
+void avg_depth_bubble_sort(triangle_t array[], int item_size);
 
 #endif

src/display.c

@@ -61,7 +61,7 @@ void render_color_buffer(void){
     SDL_RenderCopy(renderer, color_buffer_texture, NULL, NULL);
 }
 
-void clear_color_buffer(uint32_t color){
+void clear_color_buffer(color_t color){
     for (int y = 0; y < window_height; y++){
 	    for (int x = 0; x < window_width; x++){
 	        color_buffer[(window_width * y) + x] = color;
@@ -69,7 +69,7 @@ void clear_color_buffer(uint32_t color){
     }
 }
 
-void draw_rect(int x, int y, int width, int height, uint32_t color){
+void draw_rect(int x, int y, int width, int height, color_t color){
     for (int j = 0; j < width; j++){
 	    for (int k = 0; k < height; k++){
             int current_x = x + j;
@@ -80,31 +80,26 @@ void draw_rect(int x, int y, int width, int height, uint32_t color){
     }
 }
 
-void draw_pixel(int x, int y, uint32_t color){
+void draw_pixel(int x, int y, color_t color){
     if (x >= 0 && x < window_width && y >= 0 && y < window_height){
 	    color_buffer[(window_width * y) + x] = color;
     }
 }
 
-void draw_triangle(int x0, int y0, int x1, int y1, int x2, int y2, uint32_t color) {
-    draw_line(x0, y0, x1, y1, color);
-    draw_line(x1, y1, x2, y2, color);
-    draw_line(x2, y2, x0, y0, color);
-};
 
 void draw_grid(void){
     for (int y = 0; y < window_height; y += 10){
 	    for (int x = 0; x < window_width; x += 10){
-	        color_buffer[(window_width * y) + x ] = 0xFF133343;
+	        color_buffer[(window_width * y) + x ] = 0xFF444444;
 	    }
     }
 }
 
-void draw_line(int x0, int y0, int x1, int y1, uint32_t color) {
+void draw_line(int x0, int y0, int x1, int y1, color_t color) {
     int delta_x = (x1 - x0);
     int delta_y = (y1 - y0);
 
-    int longest_side_length = abs(delta_x) >= abs(delta_y) ? abs(delta_x) : abs(delta_y);
+    int longest_side_length = (abs(delta_x) >= abs(delta_y)) ? abs(delta_x) : abs(delta_y);
 
     // Find how much we should increment in both x and y each step
     float x_inc = delta_x / (float)longest_side_length;

src/display.h

@@ -8,6 +8,19 @@
 #define FPS 30
 #define FRAME_TARGET_TIME (1000 / FPS)
 
+enum cull_method{
+    CULL_NONE,
+    CULL_BACKFACE
+};
+
+enum render_method {
+    RENDER_WIRE,
+    RENDER_WIRE_VERTEX,
+    RENDER_FILL_TRIANGLE,
+    RENDER_FILL_TRIANGLE_WIRE,
+    RENDER_TEXTURED,
+    RENDER_TEXTURED_WIRE
+};
 
 extern SDL_Window* window;
 extern SDL_Renderer* renderer;
@@ -16,14 +29,16 @@ extern SDL_Texture* color_buffer_texture;
 extern int window_width;
 extern int window_height;
 
+typedef uint32_t color_t;
+
 bool initialize_window(void);
-void draw_line(int x0, int y0, int x1, int y1, uint32_t color); 
-void draw_pixel(int x, int y, uint32_t color);
-void draw_rect(int x, int y, int width, int height, uint32_t color);
+void draw_line(int x0, int y0, int x1, int y1, color_t color);
+void draw_pixel(int x, int y, color_t color);
+void draw_rect(int x, int y, int width, int height, color_t color);
 void draw_grid(void);
-void draw_triangle(int x0, int y0, int x1, int y1, int x2, int y2, uint32_t color); 
+
 void render_color_buffer(void);
-void clear_color_buffer(uint32_t color);
+void clear_color_buffer(color_t color);
 void destroy_window(void);
 
 #endif

src/light.c

@@ -0,0 +1,21 @@
+#include "light.h"
+
+
+light_t light = { 
+    .direction = { 0, 0, 1} 
+};
+
+// Change color based on a percentage factor to represent light intensity
+uint32_t light_apply_intensity(uint32_t original_color, float percentage_factor) {
+    if (percentage_factor < 0) percentage_factor = 0;
+    if (percentage_factor > 1) percentage_factor = 1;
+    
+    uint32_t a = (original_color & 0xFF000000);
+    uint32_t r = (original_color & 0x00FF0000) * percentage_factor;
+    uint32_t g = (original_color & 0x0000FF00) * percentage_factor;
+    uint32_t b = (original_color & 0x000000FF) * percentage_factor;
+
+    uint32_t new_color = a | (r & 0x00FF0000) | (g & 0x0000FF00) | (b & 0x000000FF);
+
+    return new_color;
+}

src/light.h

@@ -0,0 +1,16 @@
+#ifndef LIGHT_H
+#define LIGHT_H
+
+#include <stdint.h>
+#include "vector.h"
+
+typedef struct {
+    vec3_t direction;
+} light_t;
+
+// main light of 3D application (global light)
+extern light_t light;
+
+uint32_t light_apply_intensity(uint32_t original_color, float percentage_factor); 
+
+#endif

src/main.c

@@ -2,28 +2,36 @@
 #include <stdio.h>
 #include <stdbool.h>
 #include <SDL2/SDL.h>
+#include <math.h>
 #include "display.h"
 #include "vector.h"
+#include "light.h"
 #include "mesh.h"
 #include "triangle.h"
 #include "array.h"
+#include "matrix.h"
+
+#define M_PI 3.1415926535
 
 // Array of triangles that should be rendered frame by frame
 triangle_t* triangles_to_render = NULL;
 
 // Global variables for execution status and game loop
-vec3_t camera_position = { 0, 0, 0 };
-//vec3_t cube_rotation = { .x = 0, .y = 0, .z = 0};
-
-
-float fov_factor = 640;
+vec3_t camera_position = { .x = 0, .y = 0, .z = 0 };
+mat4_t proj_matrix;
 
+static enum cull_method cull_method;
+static enum render_method render_method;
 
 bool is_running = false;
 int previous_frame_time = 0;
 
+
 // Setup function to initialize variables and game objects
 void setup(void){
+    render_method = RENDER_WIRE;
+    cull_method = CULL_BACKFACE;
+
     // Allocates the memory in bytes required to hold for color_buffer, using sizeof to allocate the # of bytes required
     color_buffer = (uint32_t*) malloc(sizeof(uint32_t) * window_width * window_height);
 
@@ -36,9 +44,17 @@ void setup(void){
 	    window_height
 	);
 
+    // Initialize the perspective projection matrix
+    float fov = M_PI / 3.0; // the same as 180 / 3 or 60 deg
+    float aspect = (float)window_height / (float)window_width;
+    float znear = 0.1;
+    float zfar = 100.0;
+    proj_matrix = mat4_make_perspective(fov, aspect, znear, zfar);
+    
+
     // Loads the cube values in the mesh data structure
     //load_cube_mesh_data();
-    //load_obj_file_data("./assets/cube.obj");
+    //load_obj_file_data("./assets/f22.obj");
     load_obj_file_data("./assets/cube.obj");
 }
 
@@ -52,7 +68,31 @@ void process_input(void){
 	    break;
 	case SDL_KEYDOWN:
 	    if (event.key.keysym.sym == SDLK_ESCAPE)
-		is_running = false;
+		    is_running = false;
+        if (event.key.keysym.sym == SDLK_1) {
+            render_method = RENDER_WIRE_VERTEX;
+        }
+        if (event.key.keysym.sym == SDLK_2) {
+            render_method = RENDER_WIRE;
+        }
+        if (event.key.keysym.sym == SDLK_3) {
+            render_method = RENDER_FILL_TRIANGLE;
+        }
+        if (event.key.keysym.sym == SDLK_4) {
+            render_method = RENDER_FILL_TRIANGLE_WIRE;
+        }
+        if (event.key.keysym.sym == SDLK_5) {
+            render_method = RENDER_TEXTURED;
+        }
+        if (event.key.keysym.sym == SDLK_6) {
+            render_method = RENDER_TEXTURED_WIRE;
+        }
+        if (event.key.keysym.sym == SDLK_c) {
+            cull_method = CULL_BACKFACE;
+        }
+        if (event.key.keysym.sym == SDLK_d) {
+            cull_method = CULL_NONE;
+        }
 	  break;
     }
 }
@@ -60,7 +100,7 @@ void process_input(void){
 /*
  * Function that receives a 3D vector and returns a 2D point
  */
-
+/*
 vec2_t project(vec3_t point) {
     vec2_t projected_point = {
 	.x = (fov_factor * point.x) / point.z, 
@@ -68,7 +108,7 @@ vec2_t project(vec3_t point) {
     };
 
     return projected_point;
-}
+}*/
 // Loads the cube values in the mesh data structure}
 
 void update(void){
@@ -84,10 +124,22 @@ void update(void){
     // Initialize the array of triangles to render
     triangles_to_render = NULL;
 
+    // Change the mesh scale/rotation values per animation frame
     mesh.rotation.x += 0.01;
-    mesh.rotation.y += 0.01; 
-    mesh.rotation.z += 0.02;
-    
+    mesh.rotation.y += 0.01;
+    mesh.rotation.z += 0.01;
+
+    //mesh.scale.x += 0.01;
+    //mesh.scale.y += 0.01;
+    mesh.translation.z = 5.0;
+
+    // Create a scale and translation matrix that will be used to multiply the mesh vertices
+    mat4_t scale_matrix = mat4_make_scale(mesh.scale.x, mesh.scale.y, mesh.scale.z);
+    mat4_t translation_matrix = mat4_make_translation(mesh.translation.x, mesh.translation.y, mesh.translation.z);
+    mat4_t rotation_matrix_x = mat4_make_rotation_x(mesh.rotation.x);
+    mat4_t rotation_matrix_y = mat4_make_rotation_y(mesh.rotation.y);
+    mat4_t rotation_matrix_z = mat4_make_rotation_z(mesh.rotation.z);
+
     // Loop all triangle faces of our mesh
     int num_faces = array_length(mesh.faces);
     for (int i = 0; i < num_faces; i++) {
@@ -100,105 +152,164 @@ void update(void){
     
         //triangle_t projected_triangle;
 
-        vec3_t transformed_vertices[3];
+        vec4_t transformed_vertices[3];
 
         // Loop all three vertices of this current face and apply transformations
         for (int j = 0; j < 3; j++) {
-            vec3_t transformed_vertex = face_vertices[j];
-            
-            transformed_vertex = vec3_rotate_x(transformed_vertex, mesh.rotation.x);
-            transformed_vertex = vec3_rotate_y(transformed_vertex, mesh.rotation.y);
-            transformed_vertex = vec3_rotate_z(transformed_vertex, mesh.rotation.z);
+            vec4_t transformed_vertex = vec4_from_vec3(face_vertices[j]);
 
-            // Translate the vertex (point) away from the camera (in z)
-            transformed_vertex.z += 5;
+            // Create a World Matrix combining the scale, rotation and translation matrices
+            mat4_t world_matrix = mat4_identity();
+
+            // Order matters, first scale, then rotate, then translate. [T] * [R] * [S] * v
+            world_matrix = mat4_mul_mat4(scale_matrix, world_matrix);
+            world_matrix = mat4_mul_mat4(rotation_matrix_z, world_matrix);
+            world_matrix = mat4_mul_mat4(rotation_matrix_y, world_matrix);
+            world_matrix = mat4_mul_mat4(rotation_matrix_x, world_matrix);
+            world_matrix = mat4_mul_mat4(translation_matrix, world_matrix);
+
+            // Multiply the world matrix by the original vector
+            transformed_vertex = mat4_mul_vec4(world_matrix, transformed_vertex);
 
             // Save the transformed vertex in the array of transformed vertices
             transformed_vertices[j] = transformed_vertex;
         }
 
-        // TODO: Check backface culling
-        vec3_t vector_a = transformed_vertices[0]; /*   A   */
-        vec3_t vector_b = transformed_vertices[1]; /*  / \  */
-        vec3_t vector_c = transformed_vertices[2]; /* C---B */
+            vec3_t vector_a = vec3_from_vec4(transformed_vertices[0]); /*   A   */
+            vec3_t vector_b = vec3_from_vec4(transformed_vertices[1]); /*  / \  */
+            vec3_t vector_c = vec3_from_vec4(transformed_vertices[2]); /* C---B */
 
-        // Get the vector subtraction of B-A and C-A
-        vec3_t vector_ab = vec3_sub(vector_b, vector_a);
-        vec3_t vector_ac = vec3_sub(vector_c, vector_a);
+            // Get the vector subtraction of B-A and C-A
+            vec3_t vector_ab = vec3_sub(vector_b, vector_a);
+            vec3_t vector_ac = vec3_sub(vector_c, vector_a);
+            vec3_normalize(&vector_ab);
+            vec3_normalize(&vector_ac);
 
-        // Compute the face normal (using cross product to find perpendicular)
-        vec3_t normal = vec3_cross(vector_ab, vector_ac);
+            // Compute the face normal (using cross product to find perpendicular)
+            vec3_t normal = vec3_cross(vector_ab, vector_ac);
    
-        // Normalize the face normal vector
-        vec3_normalize(&normal);
+            // Normalize the face normal vector
+            vec3_normalize(&normal);
 
-        // Find the vector between a point in the triangle and the camera origin
-        vec3_t camera_ray = vec3_sub(camera_position, vector_a);
+            // Find the vector between a point in the triangle and the camera origin
+            vec3_t camera_ray = vec3_sub(camera_position, vector_a);
 
-        // Calculate how aligned the camera ray is with the face normal (using dot product)
-        float dot_normal_camera = vec3_dot(normal, camera_ray);
-
-        // If dot product is negative, continue and bypass this for-loop iteration
-        // We do not want to push a face that has a negative dot product
-        // This bypasses triangles that are looking away from the camera
-        if (dot_normal_camera < 0) {
-            continue;
+            // Calculate how aligned the camera ray is with the face normal (using dot product)
+            float dot_normal_camera = vec3_dot(normal, camera_ray);
+        
+        if (cull_method == CULL_BACKFACE) {
+            // If dot product is negative, continue and bypass this for-loop iteration
+            // We do not want to push a face that has a negative dot product
+            // This bypasses triangles that are looking away from the camera
+            if (dot_normal_camera < 0) {
+                continue;
+            }
         }
 
-        triangle_t projected_triangle;
+        vec4_t projected_points[3];
 
         // Loop all three vertices to perform projection
         for (int j = 0; j < 3; j++) {
             // Project the current vertex
-            vec2_t projected_point = project(transformed_vertices[j]);
-            
-            // Scale and translate the projected points to the middle of the screen
-            projected_point.x += (window_width / 2);
-            projected_point.y += (window_height / 2);
-            
-            projected_triangle.points[j] = projected_point;
+            projected_points[j] = mat4_mul_vec4_project(proj_matrix, transformed_vertices[j]);
+
+            // scale into the view
+            projected_points[j].x *= (window_width / 2.0);
+            projected_points[j].y *= (window_height / 2.0);
+
+            // Invert the y values to account for flipped screen y coordinates
+            projected_points[j].y *= -1;
+
+            // translate the projected points to the middle of the screen
+            projected_points[j].x += (window_width / 2.0);
+            projected_points[j].y += (window_height / 2.0);
+
         }
-    
+
+        // Calculate the avg_depth for each face based on the vertices after transformation
+        float avg_depth = (transformed_vertices[0].z + transformed_vertices[1].z + transformed_vertices[2].z) / 3.0;
+
+        // calculate the shade intensity based on how aligned is the face normal and the inverse of the light (ray)direction
+        float light_intensity_factor = -vec3_dot(normal, light.direction);
+
+        // calculate the triangle colour based on the light angle
+        uint32_t triangle_color = light_apply_intensity(mesh_face.color, light_intensity_factor);
+
+        triangle_t projected_triangle = {
+            .points = {
+                { projected_points[0].x, projected_points[0].y,},
+                { projected_points[1].x, projected_points[1].y },
+                { projected_points[2].x, projected_points[2].y },
+            },
+            // every triangle has a colour (as does each face)
+            .color = triangle_color,
+            .avg_depth = avg_depth
+        };
+
         // Save the projected triangle in the array of triangles to render
         //triangles_to_render[i] = projected_triangle; 
         array_push(triangles_to_render, projected_triangle);
     }
+
+    // sort avg_depth of triangle faces for all z vertexs per triangle
+    // painters algorithm
+    avg_depth_bubble_sort(triangles_to_render, array_length(triangles_to_render));
+    /*for (int t = 0; t < array_length(triangles_to_render); t++) {
+        printf("%.3f\n",triangles_to_render[t].avg_depth);
+    }*/
 }
 
-
 void render(void){
+    SDL_RenderClear(renderer);
+
     draw_grid();
-    
+
     //Loop all projected points and render them
     int num_of_triangles = array_length(triangles_to_render);
     for (int i = 0; i < num_of_triangles; i++){
-	    triangle_t triangle = triangles_to_render[i];
+        triangle_t triangle = triangles_to_render[i];
+    
 
-        /*
-        // Draw vertex points
-        draw_rect(triangle.points[0].x, triangle.points[0].y, 3, 3, 0xFFFFFF00);   
-        draw_rect(triangle.points[1].x, triangle.points[1].y, 3, 3, 0xFFFFFF00);
-        draw_rect(triangle.points[2].x, triangle.points[2].y, 3, 3, 0xFFFFFF00); 
-        */
+        // Draw filled triangle
+        if (render_method == RENDER_FILL_TRIANGLE || render_method == RENDER_FILL_TRIANGLE_WIRE) {
+            draw_filled_triangle(
+                triangle.points[0].x, triangle.points[0].y, // vertex A
+                triangle.points[1].x, triangle.points[1].y, // vertex B
+                triangle.points[2].x, triangle.points[2].y, // vertex C                                                        
+                triangle.color
+            );
+        };
 
-        // draw unfilled triangle
-        draw_triangle(
-                triangle.points[0].x, triangle.points[0].y, // Vertex A
-                triangle.points[1].x, triangle.points[1].y, // Vertex B
-                triangle.points[2].x, triangle.points[2].y, // Vertex C
-                0xFF00FF00);
+        // Draw textured triangle
+        if (render_method == RENDER_TEXTURED || render_method == RENDER_TEXTURED_WIRE) {
+            //draw_textured_triangle(
+            //    triangle.points[0].x, triangle.points[0].y, // vertex A
+            //    triangle.points[1].x, triangle.points[1].y, // vertex B
+            //    triangle.points[2].x, triangle.points[2].y, // vertex C                                                        
+            //    triangle.color
+            //);
 
-        /* my implementation
-        draw_line(triangle.points[0].x, triangle.points[0].y, triangle.points[1].x, triangle.points[1].y, 0xFFFFFF00);
-        draw_line(triangle.points[1].x, triangle.points[1].y, triangle.points[2].x, triangle.points[2].y, 0xFFFFFF00);
-        draw_line(triangle.points[2].x, triangle.points[2].y, triangle.points[0].x, triangle.points[0].y, 0xFFFFFF00);
-        */
+        }
 
-    }       
-    //draw_line(triangle.points[0].x, triangle.points[0].y, 25, 25);
+        // Draw triangle wireframe
+        if (render_method == RENDER_WIRE || render_method == RENDER_WIRE_VERTEX || render_method == RENDER_FILL_TRIANGLE_WIRE || render_method == RENDER_TEXTURED_WIRE) {
+            draw_triangle(
+                triangle.points[0].x, triangle.points[0].y, // vertex A
+                triangle.points[1].x, triangle.points[1].y, // vertex B
+                triangle.points[2].x, triangle.points[2].y, // vertex C
+                0xFFFFFFFF
+            );
+        }
 
-    // draw_pixel(20, 20, 0xFFFFFF00);
-    // draw_rect(300, 200, 300, 150, 0xFF998500);
+        // Draw triangle vertex points
+        if (render_method == RENDER_WIRE_VERTEX) {
+            draw_rect(triangle.points[0].x - 3, triangle.points[0].y - 3, 6, 6, 0xFFFF0000); // vertex A
+            draw_rect(triangle.points[1].x - 3, triangle.points[1].y - 3, 6, 6, 0xFFFF0000); // vertex B
+            draw_rect(triangle.points[2].x - 3, triangle.points[2].y - 3, 6, 6, 0xFFFF0000); // vertex C
+        } 
+    }   
+
+    // draw_triangle(300, 100, 50, 400, 500, 700, 0xFF00FF00);
     array_free(triangles_to_render);
 
     render_color_buffer();

src/matrix.c

@@ -0,0 +1,133 @@
+#include "matrix.h"
+
+mat4_t mat4_identity(void) {
+    // | 1 0 0 0 |
+    // | 0 1 0 0 |
+    // | 0 0 1 0 |
+    // | 0 0 0 1 |
+    mat4_t m = {{
+        { 1, 0, 0, 0 },
+        { 0, 1, 0, 0 },
+        { 0, 0, 1, 0 },
+        { 0, 0, 0, 1 }
+    }};
+    return m;
+}
+
+mat4_t mat4_make_scale(float sx, float sy, float sz) {
+    // | sx  0  0  0 |
+    // |  0 sy  0  0 |
+    // |  0  0 sz  0 |
+    // |  0  0  0  1 |
+    mat4_t m = mat4_identity();
+    m.m[0][0] = sx;
+    m.m[1][1] = sy;
+    m.m[2][2] = sz;
+    return m;
+}
+
+mat4_t mat4_make_translation(float tx, float ty, float tz) {
+    // |  1  0  0  tx |
+    // |  0  1  0  ty |
+    // |  0  0  1  tz |
+    // |  0  0  0  1  |
+    mat4_t m = mat4_identity();
+    m.m[0][3] = tx;
+    m.m[1][3] = ty;
+    m.m[2][3] = tz;
+    return m;
+}
+
+vec4_t mat4_mul_vec4(mat4_t m, vec4_t v) {
+    vec4_t result;
+    result.x = m.m[0][0] * v.x + m.m[0][1] * v.y + m.m[0][2] * v.z + m.m[0][3] * v.w;
+    result.y = m.m[1][0] * v.x + m.m[1][1] * v.y + m.m[1][2] * v.z + m.m[1][3] * v.w;
+    result.z = m.m[2][0] * v.x + m.m[2][1] * v.y + m.m[2][2] * v.z + m.m[2][3] * v.w;
+    result.w = m.m[3][0] * v.x + m.m[3][1] * v.y + m.m[3][2] * v.z + m.m[3][3] * v.w;
+
+    return result;
+}
+
+mat4_t mat4_make_rotation_z(float angle) {
+    float c = cos(angle);
+    float s = sin(angle);
+    // c -s 0 0
+    // s  c 0 0
+    // 0  0 1 0
+    // 0  0 0 1
+    mat4_t m = mat4_identity();
+    m.m[0][0] = c;
+    m.m[0][1] = -s;
+    m.m[1][0] = s;
+    m.m[1][1] = c;
+    return m;
+}
+
+mat4_t mat4_make_rotation_x(float angle) {
+    float c = cos(angle);
+    float s = sin(angle);
+    // 1  0  0  0
+    // 0  c -s  0
+    // 0  s  c  0
+    // 0  0  0  1
+    mat4_t m = mat4_identity();
+    m.m[1][1] = c;
+    m.m[1][2] = -s;
+    m.m[2][1] = s;
+    m.m[2][2] = c;
+    return m;
+}
+mat4_t mat4_make_rotation_y(float angle) {
+    float c = cos(angle);
+    float s = sin(angle);
+    //  c  0  s  0
+    //  0  1  0  0
+    // -s  0  c  0
+    //  0  0  0  1
+    mat4_t m = mat4_identity();
+    m.m[0][0] = c;
+    m.m[2][0] = -s;
+    m.m[0][2] = s;
+    m.m[2][2] = c;
+    return m;
+}
+
+mat4_t mat4_mul_mat4(mat4_t a, mat4_t b) {
+    mat4_t m;
+    for (int i = 0; i < 4; i++) {
+        for (int j = 0; j < 4; j++) {
+            m.m[i][j] = a.m[i][0] * b.m[0][j] + a.m[i][1] * b.m[1][j] + 
+                a.m[i][2] * b.m[2][j] + a.m[i][3] * b.m[3][j];
+        }
+    }
+    return m;
+}
+
+mat4_t mat4_make_perspective(float fov, float aspect, float znear, float zfar) {
+    // | (h/w)*1/tan(fov/2)             0               0                 0   |
+    // |                  0     1/tan(fov2)             0                 0   |
+    // |                                0       zf/(zf-zn)  (-zf*zn)/(zf-zn)  |
+    // |                  0             0               0                 0   |                                                
+    mat4_t m = {{{ 0 }}};
+    m.m[0][0] = aspect * (1 / tan(fov / 2));
+    m.m[1][1] = 1 / tan(fov / 2);
+    m.m[2][2] = zfar / (zfar - znear);
+    m.m[2][3] = (-zfar * znear) / (zfar - znear);
+    m.m[3][2] = 1.0;
+
+    return m;
+}
+
+vec4_t mat4_mul_vec4_project(mat4_t mat_proj, vec4_t v) {
+    // multiply the projection matrix by our original vector
+    vec4_t result = mat4_mul_vec4(mat_proj, v);
+
+    // perform perspective divide with original z-value that is now stored in w
+    if (result.w != 0.0) {
+        result.x /= result.w;
+        result.y /= result.w;
+        result.z /= result.w;
+    }
+
+    return result;
+}

src/matrix.h

@@ -0,0 +1,28 @@
+//
+// Created by tristan on 12/4/25.
+//
+
+#ifndef INC_3DRENDERER_MATRIX_H
+#define INC_3DRENDERER_MATRIX_H
+
+#include "vector.h"
+#include "math.h"
+
+typedef struct {
+    float m[4][4];
+
+} mat4_t;
+
+mat4_t mat4_identity(void);
+mat4_t mat4_make_scale(float sx, float sy, float sz);
+mat4_t mat4_make_translation(float tx, float ty, float tz);
+vec4_t mat4_mul_vec4(mat4_t m, vec4_t v);
+
+mat4_t mat4_make_rotation_z(float angle);
+mat4_t mat4_make_rotation_y(float angle);
+mat4_t mat4_make_rotation_x(float angle);
+mat4_t mat4_make_perspective(float fov, float aspect, float znear, float zfar);
+
+mat4_t mat4_mul_mat4(mat4_t a, mat4_t b);
+vec4_t mat4_mul_vec4_project(mat4_t mat_proj, vec4_t v); 
+#endif //INC_3DRENDERER_MATRIX_H

src/mesh.c

@@ -7,7 +7,9 @@
 mesh_t mesh = {
     .vertices = NULL,
     .faces = NULL,
-    .rotation = { 0, 0, 0 }
+    .rotation = { 0, 0, 0 },
+    .scale = { 1.0, 1.0, 1.0 },
+    .translation = { 0, 0, 0 }
 };
 
 vec3_t cube_vertices[N_CUBE_VERTICES] = {
@@ -24,23 +26,23 @@ vec3_t cube_vertices[N_CUBE_VERTICES] = {
 
 face_t cube_faces[N_CUBE_FACES] = {
     // front
-    { .a = 1, .b = 2, .c = 3 },
-    { .a = 1, .b = 3, .c = 4 },
+    { .a = 1, .b = 2, .c = 3, .color = 0xFFFFFFFF },
+    { .a = 1, .b = 3, .c = 4, .color = 0xFFFFFFFF},
     // right
-    { .a = 4, .b = 3, .c = 5 },
-    { .a = 4, .b = 5, .c = 6 },
+    { .a = 4, .b = 3, .c = 5, .color = 0xFFFFFFFF},
+    { .a = 4, .b = 5, .c = 6, .color = 0xFFFFFFFF },
     // back
-    { .a = 6, .b = 5, .c = 7 },
-    { .a = 6, .b = 7, .c = 8 },
+    { .a = 6, .b = 5, .c = 7, .color = 0xFFFFFFFF },
+    { .a = 6, .b = 7, .c = 8, .color = 0xFFFFFFFF },
     // left
-    { .a = 8, .b = 7, .c = 2 },
-    { .a = 8, .b = 2, .c = 1 },
+    { .a = 8, .b = 7, .c = 2, .color = 0xFFFFFFFF },
+    { .a = 8, .b = 2, .c = 1, .color = 0xFFFFFFFF },
     // top
-    { .a = 2, .b = 7, .c = 5 },
-    { .a = 2, .b = 5, .c = 3 },
+    { .a = 2, .b = 7, .c = 5, .color = 0xFFFFFFFF },
+    { .a = 2, .b = 5, .c = 3, .color = 0xFFFFFFFF },
     // bottom
-    { .a = 6, .b = 8, .c = 1 },
-    { .a = 6, .b = 1, .c = 4 }
+    { .a = 6, .b = 8, .c = 1, .color = 0xFFFFFFFF },
+    { .a = 6, .b = 1, .c = 4, .color = 0xFFFFFFFF }
 };
 
 void load_cube_mesh_data(void) {
@@ -82,7 +84,8 @@ void load_obj_file_data(char* filename) {
             face_t face = {
                 .a = vertex_indices[0],
                 .b = vertex_indices[1],
-                .c = vertex_indices[2]
+                .c = vertex_indices[2],
+                .color = 0xFFFFFFFF
             };
             array_push(mesh.faces, face); 
         } 

src/mesh.h

@@ -14,9 +14,11 @@ extern face_t cube_faces[N_CUBE_FACES];
 
 // Define a struct for dynamic size meshes, with an array of vertices and faces
 typedef struct {
-    vec3_t* vertices; // dynamic array of vertices
-    face_t* faces;    // dynamic array of faces
-    vec3_t rotation;  // rotation with x, y, and z values
+    vec3_t* vertices;     // dynamic array of vertices
+    face_t* faces;        // dynamic array of faces
+    vec3_t rotation;      // rotation with x, y, and z values
+    vec3_t scale;         // scale with x, y, and z values
+    vec3_t translation;   // translation with x, y, and z
 } mesh_t;
 
 extern mesh_t mesh;

src/texture.c

@@ -0,0 +1,73 @@
+#include <stdio.h>
+#include <stdint.h>
+
+uint32_t* mesh_texture = NULL;
+int texture_width = 64;
+int texture_height = 64;
+
+const uint8_t REDBRICK_TEXTURE[] = {
+    0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff,
+    0x54, 0x54, 0x54, 0xff, 0x38, 0x38, 0x38, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x38, 0x38, 0x38, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x38, 0x38, 0x38, 0xff,
+    0x38, 0x38, 0x38, 0xff, 0x00, 0x00, 0xec, 0xff, 0x00, 0x00, 0xec, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x00, 0x00, 0xec, 0xff, 0x00, 0x00, 0xec, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x48, 0x48, 0x48, 0xff, 0x38, 0x38, 0x38, 0xff, 0x54, 0x54, 0x54, 0xff, 0x00, 0x00, 0xec, 0xff, 0x00, 0x00, 0xec, 0xff, 0x00, 0x00, 0xec, 0xff, 0x00, 0x00, 0xec, 0xff, 0x00, 0x00, 0xe0, 0xff, 0x00, 0x00, 0xe0, 0xff, 0x00, 0x00, 0xe0, 0xff, 0x00, 0x00, 0xe0, 0xff, 0x00, 0x00, 0xe0, 0xff, 0x00, 0x00, 0xe0, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xd4, 0xff, 0x00, 0x00, 0xc8, 0xff, 0x00, 0x00, 0xc8, 0xff, 0x00, 0x00, 0xc8, 0xff, 0x00, 0x00, 0xc8, 0xff, 0x00, 0x00, 0xbc, 0xff, 0x00, 0x00, 0xbc, 0xff, 0x00, 0x00, 0xbc, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x48, 0x48, 0x48, 0xff,
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+    0x00, 0x00, 0x7c, 0xff, 0x00, 0x00, 0x98, 0xff, 0x00, 0x00, 0x58, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0x88, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0x7c, 0xff, 0x00, 0x00, 0x7c, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x58, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0x70, 0xff, 0x00, 0x00, 0x88, 0xff, 0x00, 0x00, 0x7c, 0xff, 0x00, 0x00, 0x40, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x00, 0x00, 0xc8, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x70, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x88, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x70, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0x7c, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0x88, 0xff, 0x00, 0x00, 0x70, 0xff, 0x00, 0x00, 0x88, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0x88, 0xff, 0x00, 0x00, 0x40, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x38, 0x38, 0x38, 0xff, 0x48, 0x48, 0x48, 0xff, 0x00, 0x00, 0xc8, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0x58, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x58, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x70, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x70, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x64, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x70, 0xff,
+    0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x40, 0xff, 0x00, 0x00, 0x40, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x40, 0xff, 0x00, 0x00, 0x40, 0xff, 0x00, 0x00, 0x40, 0xff, 0x00, 0x00, 0x40, 0xff, 0x00, 0x00, 0x40, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x40, 0xff, 0x00, 0x00, 0x40, 0xff, 0x20, 0x20, 0x20, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x00, 0x00, 0xa4, 0xff, 0x00, 0x00, 0x40, 0xff, 0x00, 0x00, 0x40, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff, 0x00, 0x00, 0x4c, 0xff,
+    0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x38, 0x38, 0x38, 0xff, 0x34, 0x34, 0x34, 0xff, 0x34, 0x34, 0x34, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x20, 0x20, 0x20, 0xff, 0x20, 0x20, 0x20, 0xff, 0x20, 0x20, 0x20, 0xff, 0x20, 0x20, 0x20, 0xff, 0x20, 0x20, 0x20, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x20, 0x20, 0x20, 0xff, 0x20, 0x20, 0x20, 0xff, 0x20, 0x20, 0x20, 0xff, 0x38, 0x38, 0x38, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x20, 0x20, 0x20, 0xff, 0x20, 0x20, 0x20, 0xff, 0x20, 0x20, 0x20, 0xff, 0x20, 0x20, 0x20, 0xff, 0x20, 0x20, 0x20, 0xff, 0x2c, 0x2c, 0x2c, 0xff, 0x2c, 0x2c, 0x2c, 0xff,
+    0x38, 0x38, 0x38, 0xff, 0x54, 0x54, 0x54, 0xff, 0x38, 0x38, 0x38, 0xff, 0x54, 0x54, 0x54, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x38, 0x38, 0x38, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x38, 0x38, 0x38, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x40, 0x40, 0x40, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x40, 0x40, 0x40, 0xff, 0x38, 0x38, 0x38, 0xff, 0x38, 0x38, 0x38, 0xff, 0x40, 0x40, 0x40, 0xff, 0x48, 0x48, 0x48, 0xff, 0x40, 0x40, 0x40, 0xff, 0x38, 0x38, 0x38, 0xff, 0x40, 0x40, 0x40, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x38, 0x38, 0x38, 0xff, 0x54, 0x54, 0x54, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x40, 0x40, 0x40, 0xff, 0x38, 0x38, 0x38, 0xff, 0x40, 0x40, 0x40, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff, 0x48, 0x48, 0x48, 0xff,
+    0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff, 0x54, 0x54, 0x54, 0xff,
+};

src/texture.h

@@ -0,0 +1,16 @@
+#ifndef TEXTURE_H
+#define TEXTURE_H
+
+#include <stdint.h>
+
+typedef struct {
+    float u;
+    float v;
+} tex2_t;
+
+extern int texture_width;
+extern int texture_height;
+extern uint32_t* mesh_texture;
+extern const uint8_t REDBRICK_TEXTURE[];
+
+#endif

src/triangle.c

@@ -1,3 +1,83 @@
 #include "triangle.h"
+#include "display.h"
 
-//TODO
+void int_swap(int *a, int *b) {
+    int tmp = *a;
+    *a = *b;
+    *b = tmp;
+}
+
+// Draw a filled triangle with a flat bottom
+void fill_flat_bottom_triangle(int x0, int y0, int x1, int y1, int x2, int y2, uint32_t color) {
+    // Find the two slopes (two triangle legs)
+    float inv_slope_1 = (float)(x1 - x0) / (y1 - y0);
+    float inv_slope_2 = (float)(x2 - x0) / (y2 - y0);
+
+    // Start x_start and x_end from the top vertex (x0, y0)
+    float x_start = x0;
+    float x_end = x0;
+
+    // Loop all the scanlines from top to bottom
+    for (int y = y0; y <= y2; y++) {
+        draw_line(x_start, y, x_end, y, color);
+        x_start += inv_slope_1;
+        x_end += inv_slope_2; 
+    }
+}
+
+// Draw a filled triangle with a flat top
+void fill_flat_top_triangle(int x0, int y0, int x1, int y1, int x2, int y2, uint32_t color) {
+    // Find the two slopes (two triangle legs)
+    float inv_slope_1 = (float)(x2 - x0) / (y2 - y0);
+    float inv_slope_2 = (float)(x2 - x1) / (y2 - y1);
+
+    // Start x_start and x_end from the bottom vertex (x0, y0)
+    float x_start = x2;
+    float x_end = x2;
+
+    // Loop all the scanlines from bottom to top
+    for (int y = y2; y >= y0; y--) {
+        draw_line(x_start, y, x_end, y, color);
+        x_start -= inv_slope_1;
+        x_end -= inv_slope_2; 
+    }
+
+}
+
+
+void draw_triangle(int x0, int y0, int x1, int y1, int x2, int y2, uint32_t color) {
+    draw_line(x0, y0, x1, y1, color);
+    draw_line(x1, y1, x2, y2, color);
+    draw_line(x2, y2, x0, y0, color);
+};
+
+void draw_filled_triangle(int x0, int y0, int x1, int y1, int x2, int y2, uint32_t color) {
+    // We need to sort the vertices by the y-coordinate ascending (y0 < y < y2)
+    if (y0 > y1) {
+        int_swap(&y0, &y1);
+        int_swap(&x0, &x1);
+    }
+
+    if (y1 > y2) {
+        int_swap(&y1, &y2);
+        int_swap(&x1, &x2);
+    }
+
+    if (y0 > y1) {
+        int_swap(&y0, &y1);
+        int_swap(&x0, &x1);
+    }
+
+    if (y1 == y2) {
+        fill_flat_bottom_triangle(x0, y0, x1, y1, x2, y2, color);
+    } else if (y0 == y1) {
+        fill_flat_top_triangle(x0, y0, x1, y1, x2, y2, color);
+    } else {
+        // Calculate the new vertex (Mx, My) using triangle similarity
+        int My = y1;
+        int Mx = ((float)((x2-x0) * (y1 - y0)) / (float)(y2 - y0)) + x0;
+
+        fill_flat_bottom_triangle(x0, y0, x1, y1, Mx, My, color);
+        fill_flat_top_triangle(x1, y1, Mx, My, x2, y2, color);
+    }
+}

src/triangle.h

@@ -1,19 +1,31 @@
 #ifndef TRIANGLE_H
 #define TRIANGLE_H
 
+#include <stdint.h>
+#include "texture.h"
 #include "vector.h"
+#include "display.h"
 
 typedef struct {
     int a;
     int b;
     int c;
+    tex2_t a_uv;
+    tex2_t b_uv;
+    tex2_t c_uv;
+    color_t color;
 } face_t;
 
 typedef struct {
     vec2_t points[3];
+    tex2_t texcoords[3];
+    color_t color;
+    float avg_depth;
 } triangle_t;
 
+void draw_filled_triangle(int x0, int y0, int x1, int y1, int x2, int y2, uint32_t color);
+void draw_triangle(int x0, int y0, int x1, int y1, int x2, int y2, uint32_t color);
+
+// TODO: void draw_textured_triangle(...);
+
 #endif
-
-
-

src/vector.c

@@ -155,6 +155,20 @@ vec3_t vec3_rotate_z(vec3_t v, float angle) {
    return rotated_vector;
 }
 
+////////////////////////////////////////////////////////////////////////////////
+// implementations of vector conversion functions
+////////////////////////////////////////////////////////////////////////////////
+vec4_t vec4_from_vec3(vec3_t v) {
+    vec4_t result = { v.x, v.y, v.z, 1.0 };
+    return result;
+}
+
+vec3_t vec3_from_vec4(vec4_t v) {
+    vec3_t result = { v.x, v.y, v.z };
+    return result;
+}
+
+
 /*
 vec3_t cube_vertice[8] = {
     { .x = -1, .y = -1, .z = -1 },  // 1

src/vector.h

@@ -12,6 +12,10 @@ typedef struct {
     float z;
 } vec3_t;
 
+typedef struct {
+    float x, y, z, w;
+} vec4_t;
+
 /////////////////////////////////////////////////////////////////////////////////
 // Vector 2D Functions
 ////////////////////////////////////////////////////////////////////////////////
@@ -39,4 +43,9 @@ vec3_t vec3_cross(vec3_t a, vec3_t b);
 float vec3_dot(vec3_t a, vec3_t b);
 void vec3_normalize(vec3_t* v);
 
+////////////////////////////////////////////////////////////////////////////////
+// Vector Conversion Functions
+////////////////////////////////////////////////////////////////////////////////
+vec4_t vec4_from_vec3(vec3_t v);
+vec3_t vec3_from_vec4(vec4_t v);
 #endif