From dc8da35ff80ca8c006af7ab49e8cdf8a1306f67a Mon Sep 17 00:00:00 2001
From: matthew <matthew@owens.tech>
Date: Mon, 17 Sep 2018 19:48:18 +0100
Subject: [PATCH] finally got cube rendering working

---
 gl/cube.c                | 210 +++++++++++++
 gl/cube.h                |  13 +
 gl/main.c                |  40 ++-
 gl/math_3d.c             |   2 +
 gl/math_3d.h             | 632 +++++++++++++++++++++++++++++++++++++++
 gl/shader.c              |   8 +-
 gl/shader.h              |   1 +
 shaders/crate/crate.frag |  10 +
 shaders/crate/crate.vert |  12 +
 shaders/tri/tri.vert     |   3 +-
 textures/container.jpg   | Bin 0 -> 184939 bytes
 11 files changed, 927 insertions(+), 4 deletions(-)
 create mode 100644 gl/cube.c
 create mode 100644 gl/cube.h
 create mode 100644 gl/math_3d.c
 create mode 100644 gl/math_3d.h
 create mode 100644 shaders/crate/crate.frag
 create mode 100644 shaders/crate/crate.vert
 create mode 100644 textures/container.jpg

diff --git a/gl/cube.c b/gl/cube.c
new file mode 100644
index 0000000..aa46a79
--- /dev/null
+++ b/gl/cube.c
@@ -0,0 +1,210 @@
+#include "cube.h"
+#include <stdlib.h>
+#include "shader.h"
+#include "texture.h"
+#include <GL/glew.h>
+#include <stb/stb_image.h>
+#include "err.h"
+
+/*
+static float vertices[] = {
+	-0.5f, -0.5f, -0.5f,  0.0f, 0.0f,
+	 0.5f, -0.5f, -0.5f,  1.0f, 0.0f,
+	 0.5f,  0.5f, -0.5f,  1.0f, 1.0f,
+	 0.5f,  0.5f, -0.5f,  1.0f, 1.0f,
+	-0.5f,  0.5f, -0.5f,  0.0f, 1.0f,
+	-0.5f, -0.5f, -0.5f,  0.0f, 0.0f,
+
+	-0.5f, -0.5f,  0.5f,  0.0f, 0.0f,
+	 0.5f, -0.5f,  0.5f,  1.0f, 0.0f,
+	 0.5f,  0.5f,  0.5f,  1.0f, 1.0f,
+	 0.5f,  0.5f,  0.5f,  1.0f, 1.0f,
+	-0.5f,  0.5f,  0.5f,  0.0f, 1.0f,
+	-0.5f, -0.5f,  0.5f,  0.0f, 0.0f,
+
+	-0.5f,  0.5f,  0.5f,  1.0f, 0.0f,
+	-0.5f,  0.5f, -0.5f,  1.0f, 1.0f,
+	-0.5f, -0.5f, -0.5f,  0.0f, 1.0f,
+	-0.5f, -0.5f, -0.5f,  0.0f, 1.0f,
+	-0.5f, -0.5f,  0.5f,  0.0f, 0.0f,
+	-0.5f,  0.5f,  0.5f,  1.0f, 0.0f,
+
+	 0.5f,  0.5f,  0.5f,  1.0f, 0.0f,
+	 0.5f,  0.5f, -0.5f,  1.0f, 1.0f,
+	 0.5f, -0.5f, -0.5f,  0.0f, 1.0f,
+	 0.5f, -0.5f, -0.5f,  0.0f, 1.0f,
+	 0.5f, -0.5f,  0.5f,  0.0f, 0.0f,
+	 0.5f,  0.5f,  0.5f,  1.0f, 0.0f,
+
+	-0.5f, -0.5f, -0.5f,  0.0f, 1.0f,
+	 0.5f, -0.5f, -0.5f,  1.0f, 1.0f,
+	 0.5f, -0.5f,  0.5f,  1.0f, 0.0f,
+	 0.5f, -0.5f,  0.5f,  1.0f, 0.0f,
+	-0.5f, -0.5f,  0.5f,  0.0f, 0.0f,
+	-0.5f, -0.5f, -0.5f,  0.0f, 1.0f,
+
+	-0.5f,  0.5f, -0.5f,  0.0f, 1.0f,
+	 0.5f,  0.5f, -0.5f,  1.0f, 1.0f,
+	 0.5f,  0.5f,  0.5f,  1.0f, 0.0f,
+	 0.5f,  0.5f,  0.5f,  1.0f, 0.0f,
+	-0.5f,  0.5f,  0.5f,  0.0f, 0.0f,
+	-0.5f,  0.5f, -0.5f,  0.0f, 1.0f
+};*/
+
+static GLfloat vertices[] = {
+	//  X     Y     Z       U     V
+	// bottom
+	-1.0f,-1.0f,-1.0f,   0.0f, 0.0f,
+	1.0f,-1.0f,-1.0f,   1.0f, 0.0f,
+	-1.0f,-1.0f, 1.0f,   0.0f, 1.0f,
+	1.0f,-1.0f,-1.0f,   1.0f, 0.0f,
+	1.0f,-1.0f, 1.0f,   1.0f, 1.0f,
+	-1.0f,-1.0f, 1.0f,   0.0f, 1.0f,
+
+	// top
+	-1.0f, 1.0f,-1.0f,   0.0f, 0.0f,
+	-1.0f, 1.0f, 1.0f,   0.0f, 1.0f,
+	1.0f, 1.0f,-1.0f,   1.0f, 0.0f,
+	1.0f, 1.0f,-1.0f,   1.0f, 0.0f,
+	-1.0f, 1.0f, 1.0f,   0.0f, 1.0f,
+	1.0f, 1.0f, 1.0f,   1.0f, 1.0f,
+
+	// front
+	-1.0f,-1.0f, 1.0f,   1.0f, 0.0f,
+	1.0f,-1.0f, 1.0f,   0.0f, 0.0f,
+	-1.0f, 1.0f, 1.0f,   1.0f, 1.0f,
+	1.0f,-1.0f, 1.0f,   0.0f, 0.0f,
+	1.0f, 1.0f, 1.0f,   0.0f, 1.0f,
+	-1.0f, 1.0f, 1.0f,   1.0f, 1.0f,
+
+	// back
+	-1.0f,-1.0f,-1.0f,   0.0f, 0.0f,
+	-1.0f, 1.0f,-1.0f,   0.0f, 1.0f,
+	1.0f,-1.0f,-1.0f,   1.0f, 0.0f,
+	1.0f,-1.0f,-1.0f,   1.0f, 0.0f,
+	-1.0f, 1.0f,-1.0f,   0.0f, 1.0f,
+	1.0f, 1.0f,-1.0f,   1.0f, 1.0f,
+
+	// left
+	-1.0f,-1.0f, 1.0f,   0.0f, 1.0f,
+	-1.0f, 1.0f,-1.0f,   1.0f, 0.0f,
+	-1.0f,-1.0f,-1.0f,   0.0f, 0.0f,
+	-1.0f,-1.0f, 1.0f,   0.0f, 1.0f,
+	-1.0f, 1.0f, 1.0f,   1.0f, 1.0f,
+	-1.0f, 1.0f,-1.0f,   1.0f, 0.0f,
+
+	// right
+	1.0f,-1.0f, 1.0f,   1.0f, 1.0f,
+	1.0f,-1.0f,-1.0f,   1.0f, 0.0f,
+	1.0f, 1.0f,-1.0f,   0.0f, 0.0f,
+	1.0f,-1.0f, 1.0f,   1.0f, 1.0f,
+	1.0f, 1.0f,-1.0f,   0.0f, 0.0f,
+};
+
+static bool initilised = false;
+static unsigned int vbo, vao, transformLoc;
+static crpgShader *shader = NULL;
+static crpgTexture *tex = NULL;
+
+typedef struct {
+	mat4_t transform, translation, rotation, scale;
+}Cube_t;
+
+void initVertices()
+{
+	glGenBuffers(1, &vbo);
+	glGenVertexArrays(1, &vao);
+
+	glBindVertexArray(vao);
+	glBindBuffer(GL_ARRAY_BUFFER, vbo);
+	glBufferData(GL_ARRAY_BUFFER, sizeof(vertices), vertices, GL_STATIC_DRAW);
+	// position attribute
+	glVertexAttribPointer(0, 3, GL_FLOAT, GL_FALSE, 5*sizeof(float), (void*)0);
+	glEnableVertexAttribArray(0);
+	// texture attribute
+	glVertexAttribPointer(1, 2, GL_FLOAT, GL_FALSE, 5*sizeof(float), (void*)(3*sizeof(float)));
+	glEnableVertexAttribArray(1);
+	glBindVertexArray(0);	// unbinding vao
+}
+
+void initShader(Cube_t *ct)
+{
+	// loading the textures
+	stbi_set_flip_vertically_on_load(true);
+	tex = crpgTextureNew("textures/container.jpg");
+	shader = crpgShaderNew("crate");
+
+	crpgShaderUse(shader);
+	crpgShaderSetInt(shader, "texture0", 0);
+	transformLoc = glGetUniformLocation(crpgShaderID(shader), "transform");
+	glUniformMatrix4fv(transformLoc, 1, GL_FALSE, &ct->transform);
+}
+
+static bool printed = false;
+void crpgCubeRender(crpgCube *c)
+{
+	crpgShaderUse(shader);
+
+	Cube_t *ct = (Cube_t *)c;
+	ct->transform = ct->translation;
+	ct->transform = m4_mul(ct->transform, ct->scale);
+	ct->transform = m4_mul(ct->transform, ct->rotation);
+	glUniformMatrix4fv(transformLoc, 1, GL_FALSE, &ct->transform);
+	
+	if(!printed){
+		printf("cube transform\n");
+		m4_print(ct->transform);
+		printed = true;
+	}
+
+	glActiveTexture(GL_TEXTURE0);
+	glBindTexture(GL_TEXTURE_2D, crpgTextureGetID(tex));
+
+	glBindVertexArray(vao);
+	glDrawArrays(GL_TRIANGLES, 0, 36);
+	glBindVertexArray(0);
+}
+
+void crpgCubePosition(crpgCube *c, vec3_t pos)
+{
+	Cube_t *ct = (Cube_t *)c;
+	ct->translation = m4_translation(pos);
+	printf("cube position\n");
+	m4_print(ct->translation);
+}
+
+void crpgCubeScale(crpgCube *c, vec3_t scale)
+{
+	Cube_t *ct = (Cube_t *)c;
+	ct->scale = m4_scaling(scale);
+}
+
+void crpgCubeRotation(crpgCube *c, float rot, vec3_t axis)
+{
+	Cube_t *ct = (Cube_t *)c;
+	ct->rotation = m4_rotation(rot, axis);
+}
+
+crpgCube *crpgCubeNew()
+{
+	Cube_t *c = malloc(sizeof(Cube_t));
+	crpgCube *ret = NULL;
+
+	if(!initilised){
+		initVertices();
+		initShader(c);
+	}
+
+	ret = (crpgCube *) c;
+
+	// sane defaults so the transform doesn't calculate to a matrix of 0.f's
+	crpgCubePosition(ret, vec3(0.f, 0.f, 0.f));
+	crpgCubeRotation(ret, 0.f, vec3(1.f, 1.f, 1.f));
+	crpgCubeScale(ret, vec3(1.f, 1.f, 1.f));
+	return ret;
+}
+
+void crpgCubeFree(crpgCube *c)
+{
+	free(c);
+}
diff --git a/gl/cube.h b/gl/cube.h
new file mode 100644
index 0000000..7ee7804
--- /dev/null
+++ b/gl/cube.h
@@ -0,0 +1,13 @@
+#ifndef CRPGCUBE_H
+#define CRPGCUBE_H
+#include "math_3d.h"
+
+typedef struct {} crpgCube;
+
+crpgCube *crpgCubeNew();
+void crpgCubePosition(crpgCube *c, vec3_t pos);
+void crpgCubeScale(crpgCube *c, vec3_t scale);
+void crpgCubeRotation(crpgCube *c, float rot, vec3_t axis);
+void crpgCubeRender(crpgCube *c);
+void crpgCubeFree(crpgCube *c);
+#endif//CRPGCUBE_H
diff --git a/gl/main.c b/gl/main.c
index 6d5de9b..e67f0db 100644
--- a/gl/main.c
+++ b/gl/main.c
@@ -1,3 +1,4 @@
+
 #include <stdio.h>
 #include <stdbool.h>
 #include <SDL2/SDL.h>
@@ -6,7 +7,10 @@
 #include "shader.h"
 #include "texture.h"
 #include "err.h"
-#include <stb/stb_image.h>
+#include "stb/stb_image.h"
+#include "math_3d.h"
+#include "point.h"
+#include "cube.h"
 
 static SDL_Window *window = NULL;
 static SDL_GLContext *context = NULL;
@@ -32,7 +36,10 @@ static unsigned int ebo;
 static unsigned int vbo, vao;
 static float blendVal = 0.2f;
 static crpgShader *shader = NULL;
-crpgTexture *tex[2];
+static crpgTexture *tex[2];
+static crpgCube *cube = NULL;
+static mat4_t projection, transform, world_to_screen;
+static vec3_t from, to, up, screenSpace, worldSpace;
 
 static void initShapes()
 {
@@ -69,6 +76,30 @@ static void initShapes()
 	crpgShaderSetInt(shader, "texture1", 0);
 	crpgShaderSetInt(shader, "texture2", 1);
 	crpgShaderSetFloat(shader, "blendVal", blendVal);
+
+	transform = m4_translation(vec3(0.5, 0.5, 0.f));
+	transform = m4_mul(transform, m4_scaling(vec3(.5f, .5f, 1.f)));
+	transform = m4_mul(transform, m4_rotation(m_deg_to_rad(45.f), vec3(0.f, 0.f, 1.f)));
+
+	printf("wall transform\n");
+	m4_print(transform);
+	unsigned int transformLoc = glGetUniformLocation(crpgShaderID(shader), "transform");
+	glUniformMatrix4fv(transformLoc, 1, GL_FALSE, &transform);
+
+	cube = crpgCubeNew();
+	//crpgCubePosition(cube, vec3(0.5, 0.5, 0.f));
+}
+
+static void initView()
+{
+	projection = m4_perspective(60, (float)screen_width/(float)screen_height, 1, 10);
+	from = vec3(0, 0.5, 2);
+	to = vec3(0,0,0);
+	up = vec3(0,1,0);
+	transform = m4_look_at(from, to, up);
+	worldSpace = vec3(1, 1, -1);
+	world_to_screen = m4_mul(projection, transform);
+	screenSpace = m4_mul_pos(world_to_screen, worldSpace);
 }
 
 static bool init()
@@ -146,6 +177,9 @@ static void render()
 	glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);
 	glBindVertexArray(vao);
 	glDrawElements(GL_TRIANGLES, 6, GL_UNSIGNED_INT, 0);
+	glBindVertexArray(0);
+
+	crpgCubeRender(cube);	// Not rendering??
 
 	SDL_GL_SwapWindow(window);
 }
@@ -156,6 +190,7 @@ int main()
 		return -1;
 
 	initShapes();
+	initView();
 	itime = SDL_GetTicks();
 
 	while(!quit){
@@ -164,5 +199,6 @@ int main()
 	}
 
 	SDL_Quit();
+	crpgCubeFree(cube);
 	return 0;
 }
diff --git a/gl/math_3d.c b/gl/math_3d.c
new file mode 100644
index 0000000..9e94a34
--- /dev/null
+++ b/gl/math_3d.c
@@ -0,0 +1,2 @@
+#define MATH_3D_IMPLEMENTATION
+#include "math_3d.h"
diff --git a/gl/math_3d.h b/gl/math_3d.h
new file mode 100644
index 0000000..754603d
--- /dev/null
+++ b/gl/math_3d.h
@@ -0,0 +1,632 @@
+/**
+
+Math 3D v1.0
+By Stephan Soller <stephan.soller@helionweb.de> and Tobias Malmsheimer
+Licensed under the MIT license
+
+Math 3D is a compact C99 library meant to be used with OpenGL. It provides basic
+3D vector and 4x4 matrix operations as well as functions to create transformation
+and projection matrices. The OpenGL binary layout is used so you can just upload
+vectors and matrices into shaders and work with them without any conversions.
+
+It's an stb style single header file library. Define MATH_3D_IMPLEMENTATION
+before you include this file in *one* C file to create the implementation.
+
+
+QUICK NOTES
+
+- If not explicitly stated by a parameter name all angles are in radians.
+- The matrices use column-major indices. This is the same as in OpenGL and GLSL.
+  The matrix documentation below for details.
+- Matrices are passed by value. This is probably a bit inefficient but
+  simplifies code quite a bit. Most operations will be inlined by the compiler
+  anyway so the difference shouldn't matter that much. A matrix fits into 4 of
+  the 16 SSE2 registers anyway. If profiling shows significant slowdowns the
+  matrix type might change but ease of use is more important than every last
+  percent of performance.
+- When combining matrices with multiplication the effects apply right to left.
+  This is the convention used in mathematics and OpenGL. Source:
+  https://en.wikipedia.org/wiki/Transformation_matrix#Composing_and_inverting_transformations
+  Direct3D does it differently.
+- The `m4_mul_pos()` and `m4_mul_dir()` functions do a correct perspective
+  divide (division by w) when necessary. This is a bit slower but ensures that
+  the functions will properly work with projection matrices. If profiling shows
+  this is a bottleneck special functions without perspective division can be
+  added. But the normal multiplications should avoid any surprises.
+- The library consistently uses a right-handed coordinate system. The old
+  `glOrtho()` broke that rule and `m4_ortho()` has be slightly modified so you
+  can always think of right-handed cubes that are projected into OpenGLs
+  normalized device coordinates.
+- Special care has been taken to document all complex operations and important
+  sources. Most code is covered by test cases that have been manually calculated
+  and checked on the whiteboard. Since indices and math code is prone to be
+  confusing we used pair programming to avoid mistakes.
+
+
+FURTHER IDEARS
+
+These are ideas for future work on the library. They're implemented as soon as
+there is a proper use case and we can find good names for them.
+
+- bool v3_is_null(vec3_t v, float epsilon)
+  To check if the length of a vector is smaller than `epsilon`.
+- vec3_t v3_length_default(vec3_t v, float default_length, float epsilon)
+  Returns `default_length` if the length of `v` is smaller than `epsilon`.
+  Otherwise same as `v3_length()`.
+- vec3_t v3_norm_default(vec3_t v, vec3_t default_vector, float epsilon)
+  Returns `default_vector` if the length of `v` is smaller than `epsilon`.
+  Otherwise the same as `v3_norm()`.
+- mat4_t m4_invert(mat4_t matrix)
+  Matrix inversion that works with arbitrary matrices. `m4_invert_affine()` can
+  already invert translation, rotation, scaling, mirroring, reflection and
+  shearing matrices. So a general inversion might only be useful to invert
+  projection matrices for picking. But with orthographic and perspective
+  projection it's probably simpler to calculate the ray into the scene directly
+  based on the screen coordinates.
+
+
+VERSION HISTORY
+
+v1.0  2016-02-15  Initial release
+
+**/
+
+#ifndef MATH_3D_HEADER
+#define MATH_3D_HEADER
+
+#include <math.h>
+#include <stdio.h>
+
+
+// Define PI directly because we would need to define the _BSD_SOURCE or
+// _XOPEN_SOURCE feature test macros to get it from math.h. That would be a
+// rather harsh dependency. So we define it directly if necessary.
+#ifndef M_PI
+#define M_PI 3.14159265358979323846
+#endif
+
+
+//
+// 3D vectors
+// 
+// Use the `vec3()` function to create vectors. All other vector functions start
+// with the `v3_` prefix.
+// 
+// The binary layout is the same as in GLSL and everything else (just 3 floats).
+// So you can just upload the vectors into shaders as they are.
+//
+
+typedef struct { float x, y, z; } vec3_t;
+static inline vec3_t vec3(float x, float y, float z)        { return (vec3_t){ x, y, z }; }
+
+static inline vec3_t v3_add   (vec3_t a, vec3_t b)          { return (vec3_t){ a.x + b.x, a.y + b.y, a.z + b.z }; }
+static inline vec3_t v3_adds  (vec3_t a, float s)           { return (vec3_t){ a.x + s,   a.y + s,   a.z + s   }; }
+static inline vec3_t v3_sub   (vec3_t a, vec3_t b)          { return (vec3_t){ a.x - b.x, a.y - b.y, a.z - b.z }; }
+static inline vec3_t v3_subs  (vec3_t a, float s)           { return (vec3_t){ a.x - s,   a.y - s,   a.z - s   }; }
+static inline vec3_t v3_mul   (vec3_t a, vec3_t b)          { return (vec3_t){ a.x * b.x, a.y * b.y, a.z * b.z }; }
+static inline vec3_t v3_muls  (vec3_t a, float s)           { return (vec3_t){ a.x * s,   a.y * s,   a.z * s   }; }
+static inline vec3_t v3_div   (vec3_t a, vec3_t b)          { return (vec3_t){ a.x / b.x, a.y / b.y, a.z / b.z }; }
+static inline vec3_t v3_divs  (vec3_t a, float s)           { return (vec3_t){ a.x / s,   a.y / s,   a.z / s   }; }
+static inline float  v3_length(vec3_t v)                    { return sqrtf(v.x*v.x + v.y*v.y + v.z*v.z);          }
+static inline vec3_t v3_norm  (vec3_t v);
+static inline float  v3_dot   (vec3_t a, vec3_t b)          { return a.x*b.x + a.y*b.y + a.z*b.z;                 }
+static inline vec3_t v3_proj  (vec3_t v, vec3_t onto);
+static inline vec3_t v3_cross (vec3_t a, vec3_t b);
+static inline float  v3_angle_between(vec3_t a, vec3_t b);
+
+
+//
+// 4x4 matrices
+//
+// Use the `mat4()` function to create a matrix. You can write the matrix
+// members in the same way as you would write them on paper or on a whiteboard:
+// 
+// mat4_t m = mat4(
+//     1,  0,  0,  7,
+//     0,  1,  0,  5,
+//     0,  0,  1,  3,
+//     0,  0,  0,  1
+// )
+// 
+// This creates a matrix that translates points by vec3(7, 5, 3). All other
+// matrix functions start with the `m4_` prefix. Among them functions to create
+// identity, translation, rotation, scaling and projection matrices.
+// 
+// The matrix is stored in column-major order, just as OpenGL expects. Members
+// can be accessed by indices or member names. When you write a matrix on paper
+// or on the whiteboard the indices and named members correspond to these
+// positions:
+// 
+// | m[0][0]  m[1][0]  m[2][0]  m[3][0] |
+// | m[0][1]  m[1][1]  m[2][1]  m[3][1] |
+// | m[0][2]  m[1][2]  m[2][2]  m[3][2] |
+// | m[0][3]  m[1][3]  m[2][3]  m[3][3] |
+// 
+// | m00  m10  m20  m30 |
+// | m01  m11  m21  m31 |
+// | m02  m12  m22  m32 |
+// | m03  m13  m23  m33 |
+// 
+// The first index or number in a name denotes the column, the second the row.
+// So m[i][j] denotes the member in the ith column and the jth row. This is the
+// same as in GLSL (source: GLSL v1.3 specification, 5.6 Matrix Components).
+//
+
+typedef union {
+	// The first index is the column index, the second the row index. The memory
+	// layout of nested arrays in C matches the memory layout expected by OpenGL.
+	float m[4][4];
+	// OpenGL expects the first 4 floats to be the first column of the matrix.
+	// So we need to define the named members column by column for the names to
+	// match the memory locations of the array elements.
+	struct {
+		float m00, m01, m02, m03;
+		float m10, m11, m12, m13;
+		float m20, m21, m22, m23;
+		float m30, m31, m32, m33;
+	};
+} mat4_t;
+
+static inline mat4_t mat4(
+	float m00, float m10, float m20, float m30,
+	float m01, float m11, float m21, float m31,
+	float m02, float m12, float m22, float m32,
+	float m03, float m13, float m23, float m33
+);
+
+static inline float m_deg_to_rad(float deg)
+{
+	return deg * (M_PI/180.f);
+};
+
+static inline mat4_t m4_identity     ();
+static inline mat4_t m4_translation  (vec3_t offset);
+static inline mat4_t m4_scaling      (vec3_t scale);
+static inline mat4_t m4_rotation_x   (float angle_in_rad);
+static inline mat4_t m4_rotation_y   (float angle_in_rad);
+static inline mat4_t m4_rotation_z   (float angle_in_rad);
+              mat4_t m4_rotation     (float angle_in_rad, vec3_t axis);
+
+              mat4_t m4_ortho        (float left, float right, float bottom, float top, float back, float front);
+              mat4_t m4_perspective  (float vertical_field_of_view_in_deg, float aspect_ratio, float near_view_distance, float far_view_distance);
+              mat4_t m4_look_at      (vec3_t from, vec3_t to, vec3_t up);
+
+static inline mat4_t m4_transpose    (mat4_t matrix);
+static inline mat4_t m4_mul          (mat4_t a, mat4_t b);
+              mat4_t m4_invert_affine(mat4_t matrix);
+              vec3_t m4_mul_pos      (mat4_t matrix, vec3_t position);
+              vec3_t m4_mul_dir      (mat4_t matrix, vec3_t direction);
+
+              void   m4_print        (mat4_t matrix);
+              void   m4_printp       (mat4_t matrix, int width, int precision);
+              void   m4_fprint       (FILE* stream, mat4_t matrix);
+              void   m4_fprintp      (FILE* stream, mat4_t matrix, int width, int precision);
+
+
+
+//
+// 3D vector functions header implementation
+//
+
+static inline vec3_t v3_norm(vec3_t v) {
+	float len = v3_length(v);
+	if (len > 0)
+		return (vec3_t){ v.x / len, v.y / len, v.z / len };
+	else
+		return (vec3_t){ 0, 0, 0};
+}
+
+static inline vec3_t v3_proj(vec3_t v, vec3_t onto) {
+	return v3_muls(onto, v3_dot(v, onto) / v3_dot(onto, onto));
+}
+
+static inline vec3_t v3_cross(vec3_t a, vec3_t b) {
+	return (vec3_t){
+		a.y * b.z - a.z * b.y,
+		a.z * b.x - a.x * b.z,
+		a.x * b.y - a.y * b.x
+	};
+}
+
+static inline float v3_angle_between(vec3_t a, vec3_t b) {
+	return acosf( v3_dot(a, b) / (v3_length(a) * v3_length(b)) );
+}
+
+
+//
+// Matrix functions header implementation
+//
+
+static inline mat4_t mat4(
+	float m00, float m10, float m20, float m30,
+	float m01, float m11, float m21, float m31,
+	float m02, float m12, float m22, float m32,
+	float m03, float m13, float m23, float m33
+) {
+	return (mat4_t){
+		.m[0][0] = m00, .m[1][0] = m10, .m[2][0] = m20, .m[3][0] = m30,
+		.m[0][1] = m01, .m[1][1] = m11, .m[2][1] = m21, .m[3][1] = m31,
+		.m[0][2] = m02, .m[1][2] = m12, .m[2][2] = m22, .m[3][2] = m32,
+		.m[0][3] = m03, .m[1][3] = m13, .m[2][3] = m23, .m[3][3] = m33
+	};
+}
+
+static inline mat4_t m4_identity() {
+	return mat4(
+		 1,  0,  0,  0,
+		 0,  1,  0,  0,
+		 0,  0,  1,  0,
+		 0,  0,  0,  1
+	);
+}
+
+static inline mat4_t m4_translation(vec3_t offset) {
+	return mat4(
+		 1,  0,  0,  offset.x,
+		 0,  1,  0,  offset.y,
+		 0,  0,  1,  offset.z,
+		 0,  0,  0,  1
+	);
+}
+
+static inline mat4_t m4_scaling(vec3_t scale) {
+	float x = scale.x, y = scale.y, z = scale.z;
+	return mat4(
+		 x,  0,  0,  0,
+		 0,  y,  0,  0,
+		 0,  0,  z,  0,
+		 0,  0,  0,  1
+	);
+}
+
+static inline mat4_t m4_rotation_x(float angle_in_rad) {
+	float s = sinf(angle_in_rad), c = cosf(angle_in_rad);
+	return mat4(
+		1,  0,  0,  0,
+		0,  c, -s,  0,
+		0,  s,  c,  0,
+		0,  0,  0,  1
+	);
+}
+
+static inline mat4_t m4_rotation_y(float angle_in_rad) {
+	float s = sinf(angle_in_rad), c = cosf(angle_in_rad);
+	return mat4(
+		 c,  0,  s,  0,
+		 0,  1,  0,  0,
+		-s,  0,  c,  0,
+		 0,  0,  0,  1
+	);
+}
+
+static inline mat4_t m4_rotation_z(float angle_in_rad) {
+	float s = sinf(angle_in_rad), c = cosf(angle_in_rad);
+	return mat4(
+		 c, -s,  0,  0,
+		 s,  c,  0,  0,
+		 0,  0,  1,  0,
+		 0,  0,  0,  1
+	);
+}
+
+static inline mat4_t m4_transpose(mat4_t matrix) {
+	return mat4(
+		matrix.m00, matrix.m01, matrix.m02, matrix.m03,
+		matrix.m10, matrix.m11, matrix.m12, matrix.m13,
+		matrix.m20, matrix.m21, matrix.m22, matrix.m23,
+		matrix.m30, matrix.m31, matrix.m32, matrix.m33
+	);
+}
+
+/**
+ * Multiplication of two 4x4 matrices.
+ * 
+ * Implemented by following the row times column rule and illustrating it on a
+ * whiteboard with the proper indices in mind.
+ * 
+ * Further reading: https://en.wikipedia.org/wiki/Matrix_multiplication
+ * But note that the article use the first index for rows and the second for
+ * columns.
+ */
+static inline mat4_t m4_mul(mat4_t a, mat4_t b) {
+	mat4_t result;
+	
+	for(int i = 0; i < 4; i++) {
+		for(int j = 0; j < 4; j++) {
+			float sum = 0;
+			for(int k = 0; k < 4; k++) {
+				sum += a.m[k][j] * b.m[i][k];
+			}
+			result.m[i][j] = sum;
+		}
+	}
+	
+	return result;
+}
+
+#endif // MATH_3D_HEADER
+
+
+#ifdef MATH_3D_IMPLEMENTATION
+
+/**
+ * Creates a matrix to rotate around an axis by a given angle. The axis doesn't
+ * need to be normalized.
+ * 
+ * Sources:
+ * 
+ * https://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle
+ */
+mat4_t m4_rotation(float angle_in_rad, vec3_t axis) {
+	vec3_t normalized_axis = v3_norm(axis);
+	float x = normalized_axis.x, y = normalized_axis.y, z = normalized_axis.z;
+	float c = cosf(angle_in_rad), s = sinf(angle_in_rad);
+	
+	return mat4(
+		c + x*x*(1-c),            x*y*(1-c) - z*s,      x*z*(1-c) + y*s,  0,
+		    y*x*(1-c) + z*s,  c + y*y*(1-c),            y*z*(1-c) - x*s,  0,
+		    z*x*(1-c) - y*s,      z*y*(1-c) + x*s,  c + z*z*(1-c),        0,
+		    0,                        0,                    0,            1
+	);
+}
+
+
+/**
+ * Creates an orthographic projection matrix. It maps the right handed cube
+ * defined by left, right, bottom, top, back and front onto the screen and
+ * z-buffer. You can think of it as a cube you move through world or camera
+ * space and everything inside is visible.
+ * 
+ * This is slightly different from the traditional glOrtho() and from the linked
+ * sources. These functions require the user to negate the last two arguments
+ * (creating a left-handed coordinate system). We avoid that here so you can
+ * think of this function as moving a right-handed cube through world space.
+ * 
+ * The arguments are ordered in a way that for each axis you specify the minimum
+ * followed by the maximum. Thats why it's bottom to top and back to front.
+ * 
+ * Implementation details:
+ * 
+ * To be more exact the right-handed cube is mapped into normalized device
+ * coordinates, a left-handed cube where (-1 -1) is the lower left corner,
+ * (1, 1) the upper right corner and a z-value of -1 is the nearest point and
+ * 1 the furthest point. OpenGL takes it from there and puts it on the screen
+ * and into the z-buffer.
+ * 
+ * Sources:
+ * 
+ * https://msdn.microsoft.com/en-us/library/windows/desktop/dd373965(v=vs.85).aspx
+ * https://unspecified.wordpress.com/2012/06/21/calculating-the-gluperspective-matrix-and-other-opengl-matrix-maths/
+ */
+mat4_t m4_ortho(float left, float right, float bottom, float top, float back, float front) {
+	float l = left, r = right, b = bottom, t = top, n = front, f = back;
+	float tx = -(r + l) / (r - l);
+	float ty = -(t + b) / (t - b);
+	float tz = -(f + n) / (f - n);
+	return mat4(
+		 2 / (r - l),  0,            0,            tx,
+		 0,            2 / (t - b),  0,            ty,
+		 0,            0,            2 / (f - n),  tz,
+		 0,            0,            0,            1
+	);
+}
+
+/**
+ * Creates a perspective projection matrix for a camera.
+ * 
+ * The camera is at the origin and looks in the direction of the negative Z axis.
+ * `near_view_distance` and `far_view_distance` have to be positive and > 0.
+ * They are distances from the camera eye, not values on an axis.
+ * 
+ * `near_view_distance` can be small but not 0. 0 breaks the projection and
+ * everything ends up at the max value (far end) of the z-buffer. Making the
+ * z-buffer useless.
+ * 
+ * The matrix is the same as `gluPerspective()` builds. The view distance is
+ * mapped to the z-buffer with a reciprocal function (1/x). Therefore the z-buffer
+ * resolution for near objects is very good while resolution for far objects is
+ * limited.
+ * 
+ * Sources:
+ * 
+ * https://unspecified.wordpress.com/2012/06/21/calculating-the-gluperspective-matrix-and-other-opengl-matrix-maths/
+ */
+mat4_t m4_perspective(float vertical_field_of_view_in_deg, float aspect_ratio, float near_view_distance, float far_view_distance) {
+	float fovy_in_rad = vertical_field_of_view_in_deg / 180 * M_PI;
+	float f = 1.0f / tanf(fovy_in_rad / 2.0f);
+	float ar = aspect_ratio;
+	float nd = near_view_distance, fd = far_view_distance;
+	
+	return mat4(
+		 f / ar,           0,                0,                0,
+		 0,                f,                0,                0,
+		 0,                0,               (fd+nd)/(nd-fd),  (2*fd*nd)/(nd-fd),
+		 0,                0,               -1,                0
+	);
+}
+
+/**
+ * Builds a transformation matrix for a camera that looks from `from` towards
+ * `to`. `up` defines the direction that's upwards for the camera. All three
+ * vectors are given in world space and `up` doesn't need to be normalized.
+ * 
+ * Sources: Derived on whiteboard.
+ * 
+ * Implementation details:
+ * 
+ * x, y and z are the right-handed base vectors of the cameras subspace.
+ * x has to be normalized because the cross product only produces a normalized
+ *   output vector if both input vectors are orthogonal to each other. And up
+ *   probably isn't orthogonal to z.
+ * 
+ * These vectors are then used to build a 3x3 rotation matrix. This matrix
+ * rotates a vector by the same amount the camera is rotated. But instead we
+ * need to rotate all incoming vertices backwards by that amount. That's what a
+ * camera matrix is for: To move the world so that the camera is in the origin.
+ * So we take the inverse of that rotation matrix and in case of an rotation
+ * matrix this is just the transposed matrix. That's why the 3x3 part of the
+ * matrix are the x, y and z vectors but written horizontally instead of
+ * vertically.
+ * 
+ * The translation is derived by creating a translation matrix to move the world
+ * into the origin (thats translate by minus `from`). The complete lookat matrix
+ * is then this translation followed by the rotation. Written as matrix
+ * multiplication:
+ * 
+ *   lookat = rotation * translation
+ * 
+ * Since we're right-handed this equals to first doing the translation and after
+ * that doing the rotation. During that multiplication the rotation 3x3 part
+ * doesn't change but the translation vector is multiplied with each rotation
+ * axis. The dot product is just a more compact way to write the actual
+ * multiplications.
+ */
+mat4_t m4_look_at(vec3_t from, vec3_t to, vec3_t up) {
+	vec3_t z = v3_muls(v3_norm(v3_sub(to, from)), -1);
+	vec3_t x = v3_norm(v3_cross(up, z));
+	vec3_t y = v3_cross(z, x);
+	
+	return mat4(
+		x.x, x.y, x.z, -v3_dot(from, x),
+		y.x, y.y, y.z, -v3_dot(from, y),
+		z.x, z.y, z.z, -v3_dot(from, z),
+		0,   0,   0,    1
+	);
+}
+
+
+/**
+ * Inverts an affine transformation matrix. That are translation, scaling,
+ * mirroring, reflection, rotation and shearing matrices or any combination of
+ * them.
+ * 
+ * Implementation details:
+ * 
+ * - Invert the 3x3 part of the 4x4 matrix to handle rotation, scaling, etc.
+ *   correctly (see source).
+ * - Invert the translation part of the 4x4 matrix by multiplying it with the
+ *   inverted rotation matrix and negating it.
+ * 
+ * When a 3D point is multiplied with a transformation matrix it is first
+ * rotated and then translated. The inverted transformation matrix is the
+ * inverse translation followed by the inverse rotation. Written as a matrix
+ * multiplication (remember, the effect applies right to left):
+ * 
+ *   inv(matrix) = inv(rotation) * inv(translation)
+ * 
+ * The inverse translation is a translation into the opposite direction, just
+ * the negative translation. The rotation part isn't changed by that
+ * multiplication but the translation part is multiplied by the inverse rotation
+ * matrix. It's the same situation as with `m4_look_at()`. But since we don't
+ * store the rotation matrix as 3D vectors we can't use the dot product and have
+ * to write the matrix multiplication operations by hand.
+ * 
+ * Sources for 3x3 matrix inversion:
+ * 
+ * https://www.khanacademy.org/math/precalculus/precalc-matrices/determinants-and-inverses-of-large-matrices/v/inverting-3x3-part-2-determinant-and-adjugate-of-a-matrix
+ */
+mat4_t m4_invert_affine(mat4_t matrix) {
+	// Create shorthands to access matrix members
+	float m00 = matrix.m00,  m10 = matrix.m10,  m20 = matrix.m20,  m30 = matrix.m30;
+	float m01 = matrix.m01,  m11 = matrix.m11,  m21 = matrix.m21,  m31 = matrix.m31;
+	float m02 = matrix.m02,  m12 = matrix.m12,  m22 = matrix.m22,  m32 = matrix.m32;
+	
+	// Invert 3x3 part of the 4x4 matrix that contains the rotation, etc.
+	// That part is called R from here on.
+		
+		// Calculate cofactor matrix of R
+		float c00 =   m11*m22 - m12*m21,   c10 = -(m01*m22 - m02*m21),  c20 =   m01*m12 - m02*m11;
+		float c01 = -(m10*m22 - m12*m20),  c11 =   m00*m22 - m02*m20,   c21 = -(m00*m12 - m02*m10);
+		float c02 =   m10*m21 - m11*m20,   c12 = -(m00*m21 - m01*m20),  c22 =   m00*m11 - m01*m10;
+		
+		// Caclculate the determinant by using the already calculated determinants
+		// in the cofactor matrix.
+		// Second sign is already minus from the cofactor matrix.
+		float det = m00*c00 + m10*c10 + m20 * c20;
+		if (fabsf(det) < 0.00001)
+			return m4_identity();
+		
+		// Calcuate inverse of R by dividing the transposed cofactor matrix by the
+		// determinant.
+		float i00 = c00 / det,  i10 = c01 / det,  i20 = c02 / det;
+		float i01 = c10 / det,  i11 = c11 / det,  i21 = c12 / det;
+		float i02 = c20 / det,  i12 = c21 / det,  i22 = c22 / det;
+	
+	// Combine the inverted R with the inverted translation
+	return mat4(
+		i00, i10, i20,  -(i00*m30 + i10*m31 + i20*m32),
+		i01, i11, i21,  -(i01*m30 + i11*m31 + i21*m32),
+		i02, i12, i22,  -(i02*m30 + i12*m31 + i22*m32),
+		0,   0,   0,      1
+	);
+}
+
+/**
+ * Multiplies a 4x4 matrix with a 3D vector representing a point in 3D space.
+ * 
+ * Before the matrix multiplication the vector is first expanded to a 4D vector
+ * (x, y, z, 1). After the multiplication the vector is reduced to 3D again by
+ * dividing through the 4th component (if it's not 0 or 1).
+ */
+vec3_t m4_mul_pos(mat4_t matrix, vec3_t position) {
+	vec3_t result = vec3(
+		matrix.m00 * position.x + matrix.m10 * position.y + matrix.m20 * position.z + matrix.m30,
+		matrix.m01 * position.x + matrix.m11 * position.y + matrix.m21 * position.z + matrix.m31,
+		matrix.m02 * position.x + matrix.m12 * position.y + matrix.m22 * position.z + matrix.m32
+	);
+	
+	float w = matrix.m03 * position.x + matrix.m13 * position.y + matrix.m23 * position.z + matrix.m33;
+	if (w != 0 && w != 1)
+		return vec3(result.x / w, result.y / w, result.z / w);
+	
+	return result;
+}
+
+/**
+ * Multiplies a 4x4 matrix with a 3D vector representing a direction in 3D space.
+ * 
+ * Before the matrix multiplication the vector is first expanded to a 4D vector
+ * (x, y, z, 0). For directions the 4th component is set to 0 because directions
+ * are only rotated, not translated. After the multiplication the vector is
+ * reduced to 3D again by dividing through the 4th component (if it's not 0 or
+ * 1). This is necessary because the matrix might contains something other than
+ * (0, 0, 0, 1) in the bottom row which might set w to something other than 0
+ * or 1.
+ */
+vec3_t m4_mul_dir(mat4_t matrix, vec3_t direction) {
+	vec3_t result = vec3(
+		matrix.m00 * direction.x + matrix.m10 * direction.y + matrix.m20 * direction.z,
+		matrix.m01 * direction.x + matrix.m11 * direction.y + matrix.m21 * direction.z,
+		matrix.m02 * direction.x + matrix.m12 * direction.y + matrix.m22 * direction.z
+	);
+	
+	float w = matrix.m03 * direction.x + matrix.m13 * direction.y + matrix.m23 * direction.z;
+	if (w != 0 && w != 1)
+		return vec3(result.x / w, result.y / w, result.z / w);
+	
+	return result;
+}
+
+void m4_print(mat4_t matrix) {
+	m4_fprintp(stdout, matrix, 6, 2);
+}
+
+void m4_printp(mat4_t matrix, int width, int precision) {
+	m4_fprintp(stdout, matrix, width, precision);
+}
+
+void m4_fprint(FILE* stream, mat4_t matrix) {
+	m4_fprintp(stream, matrix, 6, 2);
+}
+
+void m4_fprintp(FILE* stream, mat4_t matrix, int width, int precision) {
+	mat4_t m = matrix;
+	int w = width, p = precision;
+	for(int r = 0; r < 4; r++) {
+		fprintf(stream, "| %*.*f %*.*f %*.*f %*.*f |\n",
+			w, p, m.m[0][r], w, p, m.m[1][r], w, p, m.m[2][r], w, p, m.m[3][r]
+		);
+	}
+}
+
+#endif // MATH_3D_IMPLEMENTATION
diff --git a/gl/shader.c b/gl/shader.c
index cfcf4ce..d3c8aa5 100644
--- a/gl/shader.c
+++ b/gl/shader.c
@@ -6,7 +6,7 @@
 #include "fileRead.h"
 #include "err.h"
 typedef struct {
-	int id;
+	unsigned int id;
 } Shader_t;
 
 static char *fileEnds[] = {
@@ -147,3 +147,9 @@ void crpgShaderSetFloat(crpgShader *s, const char *name, float val)
 	Shader_t *st = (Shader_t *)s;
 	glUniform1f(glGetUniformLocation(st->id, name), val);
 }
+
+unsigned int crpgShaderID(crpgShader *s)
+{
+	Shader_t *st = (Shader_t *)s;
+	return st->id;
+}
diff --git a/gl/shader.h b/gl/shader.h
index e98573b..80917f1 100644
--- a/gl/shader.h
+++ b/gl/shader.h
@@ -20,4 +20,5 @@ void crpgShaderSetBool(crpgShader *s, const char *name, bool val);
 void crpgShaderSetInt(crpgShader *s, const char *name, int val);
 void crpgShaderSetFloat(crpgShader *s, const char *name, float val);
 void crpgShaderFree(crpgShader *s);
+unsigned int crpgShaderID(crpgShader *s);
 #endif//SHADER_H
diff --git a/shaders/crate/crate.frag b/shaders/crate/crate.frag
new file mode 100644
index 0000000..7633254
--- /dev/null
+++ b/shaders/crate/crate.frag
@@ -0,0 +1,10 @@
+#version 330 core
+out vec4 fragColor;
+in vec2 vTex;
+
+uniform sampler2D texture0;
+
+void main()
+{
+	fragColor = texture(texture0, vTex);
+}
diff --git a/shaders/crate/crate.vert b/shaders/crate/crate.vert
new file mode 100644
index 0000000..ea04ea3
--- /dev/null
+++ b/shaders/crate/crate.vert
@@ -0,0 +1,12 @@
+#version 330 core
+layout (location = 0) in vec3 aPos;
+layout (location = 1) in vec2 aTex;
+
+out vec2 vTex;
+uniform mat4 transform;
+
+void main()
+{
+	gl_Position = transform * vec4(aPos, 1.0);
+	vTex = aTex;
+}
diff --git a/shaders/tri/tri.vert b/shaders/tri/tri.vert
index 7cd2afb..a3defca 100644
--- a/shaders/tri/tri.vert
+++ b/shaders/tri/tri.vert
@@ -5,10 +5,11 @@ layout (location = 2) in vec2 aTex;
 
 out vec3 vCol;
 out vec2 vTex;
+uniform mat4 transform;
 
 void main()
 {
-	gl_Position = vec4(aPos, 1.0);
+	gl_Position = transform * vec4(aPos, 1.0);
 	vCol = aCol;
 	vTex = aTex;
 }
diff --git a/textures/container.jpg b/textures/container.jpg
new file mode 100644
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literal 0
HcmV?d00001

-- 
2.20.1