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Implement shaders #1

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abdelrahman merged 6 commits from shaders into main 2024-08-18 14:28:10 +00:00
Conversation 0 Commits 6 Files Changed 19 +305 -286
5 changed files with 305 additions and 286 deletions
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48
src/main.c
View File

@ -1,7 +1,9 @@
#include "aliases.h"
#include "img.h"
#include "mem_arena.h"
#include "mem_utils.h"
#include "obj.h"
#include "vec.h"
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
@ -10,6 +12,11 @@
#define SIZE 1200
#define RESOURCE(NAME) "resources/" NAME
V3f g_eye = {0.2f, 0.1f, 0.75f};
V3f g_target = {0};
V3f g_up = {0.0f, 1.0f, 0.0f};
M4x4f g_cam_matrix = mat4x4_identity;
enum {
TINY_EXIT_SUCCESS,
TINY_EXIT_ARENA_INIT_FAILED,
@ -17,6 +24,10 @@ enum {
TINY_EXIT_MODEL_LOAD_FAILED,
};
internal M4x4f get_projection_matrix(ProjectionType projection_type);
internal V3f main_shader_vertex(const V3f *vertex, M4x4f *model_view,
M4x4f *projection, const Render *render);
int main(void) {
Arena *arena = NULL;
if (!wapp_mem_arena_init(&arena, 10ul * 1024ul * 1024ul * 1024ul,
@ -38,12 +49,45 @@ int main(void) {
return TINY_EXIT_MODEL_LOAD_FAILED;
}
M4x4f model_view = lookat(g_eye, g_target, g_up);
M4x4f perspective_projection =
get_projection_matrix(PROJECTION_TYPE_PERSPECTIVE);
Shader main_shader = {
.vertex = main_shader_vertex,
.model_view = &model_view,
.projection = &perspective_projection,
};
clear_buffer(&(render.img), &bg);
render_model(&obj, &render, teal, RENDER_TYPE_SHADED, COLOUR_TYPE_FIXED,
PROJECTION_TYPE_PERSPECTIVE);
render_model(&obj, &render, &main_shader, RENDER_TYPE_SHADED, teal);
save_image(&(render.img), "result.pam");
wapp_mem_arena_destroy(&arena);
return TINY_EXIT_SUCCESS;
}
internal M4x4f get_projection_matrix(ProjectionType projection_type) {
if (projection_type == PROJECTION_TYPE_PERSPECTIVE) {
// Calculate projection matrix
V3f cam = V3(V3f, f32, g_target.x, g_target.y, g_target.z, g_eye.x, g_eye.y,
g_eye.z);
normalise_v3(cam);
f32 coeff = -1.0f / magnitude_v3(cam) * 0.5f;
return projection(coeff);
}
return mat4x4_identity;
}
internal V3f main_shader_vertex(const V3f *vertex, M4x4f *model_view,
M4x4f *projection, const Render *render) {
V4f vh = {.x = vertex->x, .y = vertex->y, .z = vertex->z, .w = 1.0f};
vh = mat4x4_mul_vec4((*projection), mat4x4_mul_vec4((*model_view), vh));
vh.y = 0.0 - vh.y;
vh = mat4x4_mul_vec4(
viewport(vh.x, vh.y, render->img.width, render->img.height), vh);
return project_vec4(vh);
}

235
src/obj.c
View File

@ -5,6 +5,7 @@
#include "pam.h"
#include "typed_list.h"
#include "utils.h"
#include "vec.h"
#include <limits.h>
#include <math.h>
#include <stdio.h>
@ -12,84 +13,6 @@
#include <string.h>
#define TRIANGLE_VERTICES 3
#define DEPTH_MAX 255
#define V2(T, ELEM_T, X0, Y0, X1, Y1) \
((T){(ELEM_T)X1 - (ELEM_T)X0, (ELEM_T)Y1 - (ELEM_T)Y0})
#define V3(T, ELEM_T, X0, Y0, Z0, X1, Y1, Z1) \
((T){(ELEM_T)X1 - (ELEM_T)X0, (ELEM_T)Y1 - (ELEM_T)Y0, \
(ELEM_T)Z1 - (ELEM_T)Z0})
#define dot_v2(V1, V2) ((f32)V1.x * (f32)V2.x + (f32)V1.y * (f32)V2.y)
#define dot_v3(V1, V2) \
((f32)V1.x * (f32)V2.x + (f32)V1.y * (f32)V2.y + (f32)V1.z * (f32)V2.z)
#define magnitude_v3(V) (sqrtf(dot_v3(V, V)))
#define normalise_v3(V) \
do { \
f32 magnitude = magnitude_v3(V); \
V.x /= magnitude; \
V.y /= magnitude; \
V.z /= magnitude; \
} while (0)
#define cross_product(V1, V2) \
((V3f){ \
.x = V1.y * V2.z - V1.z * V2.y, \
.y = V1.z * V2.x - V1.x * V2.z, \
.z = V1.x * V2.y - V1.y * V2.x, \
})
#define mat4x4_identity \
((M4x4f){ \
.row0 = {1.0f, 0.0f, 0.0f, 0.0f}, \
.row1 = {0.0f, 1.0f, 0.0f, 0.0f}, \
.row2 = {0.0f, 0.0f, 1.0f, 0.0f}, \
.row3 = {0.0f, 0.0f, 0.0f, 1.0f}, \
})
#define mat4x4_mul(MAT1, MAT2) \
((M4x4f){ \
.row0.x = MAT1.row0.x * MAT2.row0.x + MAT1.row0.y * MAT2.row1.x + \
MAT1.row0.z * MAT2.row2.x + MAT1.row0.w * MAT2.row3.x, \
.row0.y = MAT1.row0.x * MAT2.row0.y + MAT1.row0.y * MAT2.row1.y + \
MAT1.row0.z * MAT2.row2.y + MAT1.row0.w * MAT2.row3.y, \
.row0.z = MAT1.row0.x * MAT2.row0.z + MAT1.row0.y * MAT2.row1.z + \
MAT1.row0.z * MAT2.row2.z + MAT1.row0.w * MAT2.row3.z, \
.row0.w = MAT1.row0.x * MAT2.row0.w + MAT1.row0.y * MAT2.row1.w + \
MAT1.row0.z * MAT2.row2.w + MAT1.row0.w * MAT2.row3.w, \
.row1.x = MAT1.row1.x * MAT2.row0.x + MAT1.row1.y * MAT2.row1.x + \
MAT1.row1.z * MAT2.row2.x + MAT1.row1.w * MAT2.row3.x, \
.row1.y = MAT1.row1.x * MAT2.row0.y + MAT1.row1.y * MAT2.row1.y + \
MAT1.row1.z * MAT2.row2.y + MAT1.row1.w * MAT2.row3.y, \
.row1.z = MAT1.row1.x * MAT2.row0.z + MAT1.row1.y * MAT2.row1.z + \
MAT1.row1.z * MAT2.row2.z + MAT1.row1.w * MAT2.row3.z, \
.row1.w = MAT1.row1.x * MAT2.row0.w + MAT1.row1.y * MAT2.row1.w + \
MAT1.row1.z * MAT2.row2.w + MAT1.row1.w * MAT2.row3.w, \
.row2.x = MAT1.row2.x * MAT2.row0.x + MAT1.row2.y * MAT2.row1.x + \
MAT1.row2.z * MAT2.row2.x + MAT1.row2.w * MAT2.row3.x, \
.row2.y = MAT1.row2.x * MAT2.row0.y + MAT1.row2.y * MAT2.row1.y + \
MAT1.row2.z * MAT2.row2.y + MAT1.row2.w * MAT2.row3.y, \
.row2.z = MAT1.row2.x * MAT2.row0.z + MAT1.row2.y * MAT2.row1.z + \
MAT1.row2.z * MAT2.row2.z + MAT1.row2.w * MAT2.row3.z, \
.row2.w = MAT1.row2.x * MAT2.row0.w + MAT1.row2.y * MAT2.row1.w + \
MAT1.row2.z * MAT2.row2.w + MAT1.row2.w * MAT2.row3.w, \
.row3.x = MAT1.row3.x * MAT2.row0.x + MAT1.row3.y * MAT2.row1.x + \
MAT1.row3.z * MAT2.row2.x + MAT1.row3.w * MAT2.row3.x, \
.row3.y = MAT1.row3.x * MAT2.row0.y + MAT1.row3.y * MAT2.row1.y + \
MAT1.row3.z * MAT2.row2.y + MAT1.row3.w * MAT2.row3.y, \
.row3.z = MAT1.row3.x * MAT2.row0.z + MAT1.row3.y * MAT2.row1.z + \
MAT1.row3.z * MAT2.row2.z + MAT1.row3.w * MAT2.row3.z, \
.row3.w = MAT1.row3.x * MAT2.row0.w + MAT1.row3.y * MAT2.row1.w + \
MAT1.row3.z * MAT2.row2.w + MAT1.row3.w * MAT2.row3.w, \
})
#define mat4x4_mul_vec4(MAT, V) \
((V4f){ \
.x = MAT.row0.x * V.x + MAT.row0.y * V.y + MAT.row0.z * V.z + \
MAT.row0.w * V.w, \
.y = MAT.row1.x * V.x + MAT.row1.y * V.y + MAT.row1.z * V.z + \
MAT.row1.w * V.w, \
.z = MAT.row2.x * V.x + MAT.row2.y * V.y + MAT.row2.z * V.z + \
MAT.row2.w * V.w, \
.w = MAT.row3.x * V.x + MAT.row3.y * V.y + MAT.row3.z * V.z + \
MAT.row3.w * V.w, \
})
#define project_vec4(V) ((V3f){.x = V.x / V.w, .y = V.y / V.w, .z = V.z / V.w})
typedef struct triangle_bbox TriangleBBox;
struct triangle_bbox {
@ -100,15 +23,12 @@ struct triangle_bbox {
};
internal void render_triangle(const Triangle *triangle, const Model *model,
Render *render, Colour colour, RenderType type,
ProjectionType projection, M4x4f mv);
const Shader *shader, Render *render,
RenderType render_type, Colour colour);
internal void fill_triangle(Render *render, V3f vertices[TRIANGLE_VERTICES],
V3f normals[TRIANGLE_VERTICES],
V2f coordinates[TRIANGLE_VERTICES], Colour colour,
Image *texture, RenderType type);
internal M4x4f lookat(V3f eye, V3f target, V3f up);
internal M4x4f viewport(f32 x, f32 y, u64 w, u64 h);
internal M4x4f projection(f32 coeff);
internal TriangleBBox get_triangle_bbox(const Image *img,
V3f vertices[TRIANGLE_VERTICES]);
internal V3f get_barycentric_coords(f32 d00, f32 d01, f32 d11, f32 denom,
@ -117,10 +37,6 @@ internal V3f get_barycentric_coords(f32 d00, f32 d01, f32 d11, f32 denom,
internal V3f get_viewport_vertex(const V3f *vertex, const Image *img);
V3f g_light_dir = {0.0f, 0.0f, 1.0f};
V3f g_eye = {0.2f, 0.1f, 0.75f};
V3f g_target = {0};
V3f g_up = {0.0f, 1.0f, 0.0f};
M4x4f g_cam_matrix = mat4x4_identity;
Model load_obj_file(Arena *arena, const char *filename, const char *texture) {
if (!arena) {
@ -215,35 +131,18 @@ bool init_render(Arena *arena, Render *render, u64 width, u64 height) {
return true;
}
void render_model(const Model *model, Render *render, Colour colour,
RenderType type, ColourType colour_type,
ProjectionType projection_type) {
void render_model(const Model *model, Render *render, const Shader *shader,
RenderType render_type, Colour colour) {
Triangle triangle;
M4x4f model_view = lookat(g_eye, g_target, g_up);
// Calculate projection matrix
V3f cam = V3(V3f, f32, g_target.x, g_target.y, g_target.z, g_eye.x, g_eye.y,
g_eye.z);
normalise_v3(cam);
f32 coeff = -1.0f / magnitude_v3(cam) * 0.5f;
g_cam_matrix = projection(coeff);
for (u64 i = 0; i < model->triangles->count; ++i) {
triangle = list_get(model->triangles, i);
if (colour_type == COLOUR_TYPE_RANDOM) {
colour = (Colour){.r = rand() % UINT8_MAX,
.g = rand() % UINT8_MAX,
.b = rand() % UINT8_MAX,
.a = 255};
}
render_triangle(&triangle, model, render, colour, type, projection_type,
model_view);
render_triangle(&triangle, model, shader, render, render_type, colour);
}
}
internal void render_triangle(const Triangle *triangle, const Model *model,
Render *render, Colour colour, RenderType type,
ProjectionType projection_type, M4x4f mv) {
const Shader *shader, Render *render,
RenderType render_type, Colour colour) {
Image *img = &(render->img);
V3f vertices[TRIANGLE_VERTICES] = {
list_get(model->vertices, triangle->p0),
@ -261,51 +160,24 @@ internal void render_triangle(const Triangle *triangle, const Model *model,
list_get(model->texture_coordinates, triangle->tx2),
};
// Camera
for (u64 i = 0; i < TRIANGLE_VERTICES; ++i) {
V4f vertex;
vertex = (V4f){
.x = vertices[i].x,
.y = vertices[i].y,
.z = vertices[i].z,
.w = 1.0f,
};
vertex = mat4x4_mul_vec4(mv, vertex);
vertices[i] = project_vec4(vertex);
vertices[i] = shader->vertex(&vertices[i], shader->model_view,
shader->projection, render);
}
// Basic perspective projection
if (projection_type == PROJECTION_TYPE_PERSPECTIVE) {
V4f vertex;
for (u64 i = 0; i < TRIANGLE_VERTICES; ++i) {
vertex = (V4f){
.x = vertices[i].x,
.y = vertices[i].y,
.z = vertices[i].z,
.w = 1.0f,
};
vertex = mat4x4_mul_vec4(g_cam_matrix, vertex);
vertices[i] = project_vec4(vertex);
}
}
if (type == RENDER_TYPE_WIREFRAME) {
if (render_type == RENDER_TYPE_WIREFRAME) {
V3f v0, v1;
u64 x0, y0, x1, y1;
V3f vp0, vp1;
for (u64 i = 0; i < TRIANGLE_VERTICES; ++i) {
v0 = vertices[i];
v1 = vertices[(i + 1) % TRIANGLE_VERTICES];
vp0 = get_viewport_vertex(&v0, img);
vp1 = get_viewport_vertex(&v1, img);
draw_line(img, (u64)vp0.x, (u64)vp0.y, (u64)vp1.x, (u64)vp1.y, colour);
draw_line(img, (u64)v0.x, (u64)v0.y, (u64)v1.x, (u64)v1.y, colour);
}
} else if (type == RENDER_TYPE_FILLED || type == RENDER_TYPE_SHADED) {
} else if (render_type == RENDER_TYPE_FILLED ||
render_type == RENDER_TYPE_SHADED) {
fill_triangle(render, vertices, normals, coordinates, colour,
model->texture, type);
model->texture, render_type);
}
}
@ -317,9 +189,9 @@ internal void fill_triangle(Render *render, V3f vertices[TRIANGLE_VERTICES],
Depth *depth = &(render->depth);
TriangleBBox bbox = get_triangle_bbox(img, vertices);
V3f v0 = get_viewport_vertex(&vertices[0], img);
V3f v1 = get_viewport_vertex(&vertices[1], img);
V3f v2 = get_viewport_vertex(&vertices[2], img);
V3f v0 = vertices[0];
V3f v1 = vertices[1];
V3f v2 = vertices[2];
V2i ab = V2(V2i, i64, v0.x, v0.y, v1.x, v1.y);
V2i ac = V2(V2i, i64, v0.x, v0.y, v2.x, v2.y);
@ -388,77 +260,18 @@ internal void fill_triangle(Render *render, V3f vertices[TRIANGLE_VERTICES],
}
}
internal M4x4f lookat(V3f eye, V3f target, V3f up) {
V3f z = V3(V3f, f32, target.x, target.y, target.z, eye.x, eye.y, eye.z);
normalise_v3(z);
V3f x = cross_product(up, z);
normalise_v3(x);
V3f y = cross_product(z, x);
normalise_v3(y);
M4x4f rotation = mat4x4_identity;
rotation.row0.x = x.x;
rotation.row0.y = x.y;
rotation.row0.z = x.z;
rotation.row1.x = y.x;
rotation.row1.y = y.y;
rotation.row1.z = y.z;
rotation.row2.x = z.x;
rotation.row2.y = z.y;
rotation.row2.z = z.z;
M4x4f translation = mat4x4_identity;
translation.row0.w = -(eye.x);
translation.row1.w = -(eye.y);
translation.row2.w = -(eye.z);
return mat4x4_mul(rotation, translation);
}
internal M4x4f viewport(f32 x, f32 y, u64 w, u64 h) {
M4x4f output = mat4x4_identity;
f32 half_width = (f32)w * 0.5f;
f32 half_height = (f32)h * 0.5f;
f32 half_depth = (f32)DEPTH_MAX * 0.5f;
output.row0.x = half_width;
output.row0.w = x + half_width;
output.row1.y = half_height;
output.row1.w = y + half_height;
output.row2.z = output.row2.w = half_depth;
return output;
}
internal M4x4f projection(f32 coeff) {
// clang-format off
return (M4x4f){
.row0 = {1.0f, 0.0f, 0.0f, 0.0f},
.row1 = {0.0f, 1.0f, 0.0f, 0.0f},
.row2 = {0.0f, 0.0f, 1.0f, 0.0f},
.row3 = {0.0f, 0.0f, coeff, 1.0f},
};
// clang-format on
}
internal TriangleBBox get_triangle_bbox(const Image *img,
V3f vertices[TRIANGLE_VERTICES]) {
f32 x0 = min(vertices[0].x, min(vertices[1].x, vertices[2].x));
f32 x1 = max(vertices[0].x, max(vertices[1].x, vertices[2].x));
// NOTE (Abdelrahman): Because y is flipped, we use max for the minimum and
// min for the maximum
f32 y0 = max(vertices[0].y, max(vertices[1].y, vertices[2].y));
f32 y1 = min(vertices[0].y, min(vertices[1].y, vertices[2].y));
V3f minimum = get_viewport_vertex(&(V3f){x0, y0, 0.0f}, img);
V3f maximum = get_viewport_vertex(&(V3f){x1, y1, 0.0f}, img);
f32 y0 = min(vertices[0].y, min(vertices[1].y, vertices[2].y));
f32 y1 = max(vertices[0].y, max(vertices[1].y, vertices[2].y));
return (TriangleBBox){
.x0 = minimum.x,
.y0 = minimum.y,
.x1 = maximum.x,
.y1 = maximum.y,
.x0 = x0,
.y0 = y0,
.x1 = x1,
.y1 = y1,
};
}

88
src/obj.h
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@ -5,6 +5,7 @@
#include "img.h"
#include "mem_arena.h"
#include "typed_list.h"
#include "vec.h"
#define INVALID_MODEL ((Model){0})
#define IS_INVALID_MODEL(m) (m.vertices == NULL || m.triangles == NULL)
@ -22,67 +23,6 @@ struct triangle {
u64 tx2;
};
typedef struct i64x2 V2i;
struct i64x2 {
i64 x;
i64 y;
};
typedef struct u64x2 V2u;
struct u64x2 {
u64 x;
u64 y;
};
typedef struct f32x2 V2f;
struct f32x2 {
union {
f32 x;
f32 u;
};
union {
f32 y;
f32 v;
};
};
typedef struct f32x3 V3f;
struct f32x3 {
f32 x;
f32 y;
f32 z;
};
typedef struct f32x4 V4f;
struct f32x4 {
f32 x;
f32 y;
f32 z;
f32 w;
};
typedef struct u64x3 V3u;
struct u64x3 {
u64 x;
u64 y;
u64 z;
};
typedef struct f32_3x3 M3x3f;
struct f32_3x3 {
V3f row0;
V3f row1;
V3f row2;
};
typedef struct f32_4x4 M4x4f;
struct f32_4x4 {
V4f row0;
V4f row1;
V4f row2;
V4f row3;
};
typedef enum {
RENDER_TYPE_WIREFRAME,
RENDER_TYPE_FILLED,
@ -91,13 +31,6 @@ typedef enum {
COUNT_RENDER_TYPES,
} RenderType;
typedef enum {
COLOUR_TYPE_FIXED,
COLOUR_TYPE_RANDOM,
COUNT_COLOUR_TYPE,
} ColourType;
typedef enum {
PROJECTION_TYPE_ORTHOGRAPHIC,
PROJECTION_TYPE_PERSPECTIVE,
@ -105,8 +38,6 @@ typedef enum {
COUNT_PROJECTION_TYPE,
} ProjectionType;
MAKE_LIST_TYPE(V3f);
MAKE_LIST_TYPE(V2f);
MAKE_LIST_TYPE(Triangle);
typedef struct model Model;
@ -124,10 +55,21 @@ struct render {
Depth depth;
};
typedef V3f(VertexShader)(const V3f *vertex, M4x4f *model_view,
M4x4f *projection, const Render *render);
typedef bool(FragmentShader)(Colour colour);
typedef struct shader Shader;
struct shader {
VertexShader *vertex;
FragmentShader *fragment;
M4x4f *model_view;
M4x4f *projection;
};
Model load_obj_file(Arena *arena, const char *filename, const char *texture);
bool init_render(Arena *arena, Render *render, u64 width, u64 height);
void render_model(const Model *model, Render *render, Colour colour,
RenderType type, ColourType colour_type,
ProjectionType projection);
void render_model(const Model *model, Render *render, const Shader *shader,
RenderType render_type, Colour colour);
#endif // OBJ_H

57
src/vec.c Normal file
View File

@ -0,0 +1,57 @@
#include "vec.h"
#define DEPTH_MAX 255
M4x4f lookat(V3f eye, V3f target, V3f up) {
V3f z = V3(V3f, f32, target.x, target.y, target.z, eye.x, eye.y, eye.z);
normalise_v3(z);
V3f x = cross_product(up, z);
normalise_v3(x);
V3f y = cross_product(z, x);
normalise_v3(y);
M4x4f rotation = mat4x4_identity;
rotation.row0.x = x.x;
rotation.row0.y = x.y;
rotation.row0.z = x.z;
rotation.row1.x = y.x;
rotation.row1.y = y.y;
rotation.row1.z = y.z;
rotation.row2.x = z.x;
rotation.row2.y = z.y;
rotation.row2.z = z.z;
M4x4f translation = mat4x4_identity;
translation.row0.w = -(eye.x);
translation.row1.w = -(eye.y);
translation.row2.w = -(eye.z);
return mat4x4_mul(rotation, translation);
}
M4x4f projection(f32 coeff) {
// clang-format off
return (M4x4f){
.row0 = {1.0f, 0.0f, 0.0f, 0.0f},
.row1 = {0.0f, 1.0f, 0.0f, 0.0f},
.row2 = {0.0f, 0.0f, 1.0f, 0.0f},
.row3 = {0.0f, 0.0f, coeff, 1.0f},
};
// clang-format on
}
M4x4f viewport(f32 x, f32 y, u64 w, u64 h) {
M4x4f output = mat4x4_identity;
f32 half_width = (f32)w * 0.5f;
f32 half_height = (f32)h * 0.5f;
f32 half_depth = (f32)DEPTH_MAX * 0.5f;
output.row0.x = half_width;
output.row0.w = x + half_width;
output.row1.y = half_height;
output.row1.w = y + half_height;
output.row2.z = output.row2.w = half_depth;
return output;
}

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#ifndef VEC_H
#define VEC_H
#include "aliases.h"
#include "typed_list.h"
#include <math.h>
typedef struct i64x2 V2i;
struct i64x2 {
i64 x;
i64 y;
};
typedef struct u64x2 V2u;
struct u64x2 {
u64 x;
u64 y;
};
typedef struct f32x2 V2f;
struct f32x2 {
union {
f32 x;
f32 u;
};
union {
f32 y;
f32 v;
};
};
typedef struct f32x3 V3f;
struct f32x3 {
f32 x;
f32 y;
f32 z;
};
typedef struct f32x4 V4f;
struct f32x4 {
f32 x;
f32 y;
f32 z;
f32 w;
};
typedef struct u64x3 V3u;
struct u64x3 {
u64 x;
u64 y;
u64 z;
};
typedef struct f32_3x3 M3x3f;
struct f32_3x3 {
V3f row0;
V3f row1;
V3f row2;
};
typedef struct f32_4x4 M4x4f;
struct f32_4x4 {
V4f row0;
V4f row1;
V4f row2;
V4f row3;
};
MAKE_LIST_TYPE(V3f);
MAKE_LIST_TYPE(V2f);
#define V2(T, ELEM_T, X0, Y0, X1, Y1) \
((T){(ELEM_T)X1 - (ELEM_T)X0, (ELEM_T)Y1 - (ELEM_T)Y0})
#define V3(T, ELEM_T, X0, Y0, Z0, X1, Y1, Z1) \
((T){(ELEM_T)X1 - (ELEM_T)X0, (ELEM_T)Y1 - (ELEM_T)Y0, \
(ELEM_T)Z1 - (ELEM_T)Z0})
#define dot_v2(V1, V2) ((f32)V1.x * (f32)V2.x + (f32)V1.y * (f32)V2.y)
#define dot_v3(V1, V2) \
((f32)V1.x * (f32)V2.x + (f32)V1.y * (f32)V2.y + (f32)V1.z * (f32)V2.z)
#define magnitude_v3(V) (sqrtf(dot_v3(V, V)))
#define normalise_v3(V) \
do { \
f32 magnitude = magnitude_v3(V); \
V.x /= magnitude; \
V.y /= magnitude; \
V.z /= magnitude; \
} while (0)
#define cross_product(V1, V2) \
((V3f){ \
.x = V1.y * V2.z - V1.z * V2.y, \
.y = V1.z * V2.x - V1.x * V2.z, \
.z = V1.x * V2.y - V1.y * V2.x, \
})
#define mat4x4_identity \
((M4x4f){ \
.row0 = {1.0f, 0.0f, 0.0f, 0.0f}, \
.row1 = {0.0f, 1.0f, 0.0f, 0.0f}, \
.row2 = {0.0f, 0.0f, 1.0f, 0.0f}, \
.row3 = {0.0f, 0.0f, 0.0f, 1.0f}, \
})
#define mat4x4_mul(MAT1, MAT2) \
((M4x4f){ \
.row0.x = MAT1.row0.x * MAT2.row0.x + MAT1.row0.y * MAT2.row1.x + \
MAT1.row0.z * MAT2.row2.x + MAT1.row0.w * MAT2.row3.x, \
.row0.y = MAT1.row0.x * MAT2.row0.y + MAT1.row0.y * MAT2.row1.y + \
MAT1.row0.z * MAT2.row2.y + MAT1.row0.w * MAT2.row3.y, \
.row0.z = MAT1.row0.x * MAT2.row0.z + MAT1.row0.y * MAT2.row1.z + \
MAT1.row0.z * MAT2.row2.z + MAT1.row0.w * MAT2.row3.z, \
.row0.w = MAT1.row0.x * MAT2.row0.w + MAT1.row0.y * MAT2.row1.w + \
MAT1.row0.z * MAT2.row2.w + MAT1.row0.w * MAT2.row3.w, \
.row1.x = MAT1.row1.x * MAT2.row0.x + MAT1.row1.y * MAT2.row1.x + \
MAT1.row1.z * MAT2.row2.x + MAT1.row1.w * MAT2.row3.x, \
.row1.y = MAT1.row1.x * MAT2.row0.y + MAT1.row1.y * MAT2.row1.y + \
MAT1.row1.z * MAT2.row2.y + MAT1.row1.w * MAT2.row3.y, \
.row1.z = MAT1.row1.x * MAT2.row0.z + MAT1.row1.y * MAT2.row1.z + \
MAT1.row1.z * MAT2.row2.z + MAT1.row1.w * MAT2.row3.z, \
.row1.w = MAT1.row1.x * MAT2.row0.w + MAT1.row1.y * MAT2.row1.w + \
MAT1.row1.z * MAT2.row2.w + MAT1.row1.w * MAT2.row3.w, \
.row2.x = MAT1.row2.x * MAT2.row0.x + MAT1.row2.y * MAT2.row1.x + \
MAT1.row2.z * MAT2.row2.x + MAT1.row2.w * MAT2.row3.x, \
.row2.y = MAT1.row2.x * MAT2.row0.y + MAT1.row2.y * MAT2.row1.y + \
MAT1.row2.z * MAT2.row2.y + MAT1.row2.w * MAT2.row3.y, \
.row2.z = MAT1.row2.x * MAT2.row0.z + MAT1.row2.y * MAT2.row1.z + \
MAT1.row2.z * MAT2.row2.z + MAT1.row2.w * MAT2.row3.z, \
.row2.w = MAT1.row2.x * MAT2.row0.w + MAT1.row2.y * MAT2.row1.w + \
MAT1.row2.z * MAT2.row2.w + MAT1.row2.w * MAT2.row3.w, \
.row3.x = MAT1.row3.x * MAT2.row0.x + MAT1.row3.y * MAT2.row1.x + \
MAT1.row3.z * MAT2.row2.x + MAT1.row3.w * MAT2.row3.x, \
.row3.y = MAT1.row3.x * MAT2.row0.y + MAT1.row3.y * MAT2.row1.y + \
MAT1.row3.z * MAT2.row2.y + MAT1.row3.w * MAT2.row3.y, \
.row3.z = MAT1.row3.x * MAT2.row0.z + MAT1.row3.y * MAT2.row1.z + \
MAT1.row3.z * MAT2.row2.z + MAT1.row3.w * MAT2.row3.z, \
.row3.w = MAT1.row3.x * MAT2.row0.w + MAT1.row3.y * MAT2.row1.w + \
MAT1.row3.z * MAT2.row2.w + MAT1.row3.w * MAT2.row3.w, \
})
#define mat4x4_mul_vec4(MAT, V) \
((V4f){ \
.x = MAT.row0.x * V.x + MAT.row0.y * V.y + MAT.row0.z * V.z + \
MAT.row0.w * V.w, \
.y = MAT.row1.x * V.x + MAT.row1.y * V.y + MAT.row1.z * V.z + \
MAT.row1.w * V.w, \
.z = MAT.row2.x * V.x + MAT.row2.y * V.y + MAT.row2.z * V.z + \
MAT.row2.w * V.w, \
.w = MAT.row3.x * V.x + MAT.row3.y * V.y + MAT.row3.z * V.z + \
MAT.row3.w * V.w, \
})
#define project_vec4(V) ((V3f){.x = V.x / V.w, .y = V.y / V.w, .z = V.z / V.w})
M4x4f lookat(V3f eye, V3f target, V3f up);
M4x4f projection(f32 coeff);
M4x4f viewport(f32 x, f32 y, u64 w, u64 h);
#endif // VEC_H