--- /dev/null
+#ifndef INCLUDED_FIXED_POINT_H
+#define INCLUDED_FIXED_POINT_H
+
+#include <stdint.h>
+#include <stdbool.h>
+
+/* Unterstes Byte als Nachkomma. 16 Bit Nutzlast! Sonst geht Multiplikation flöten. */
+typedef struct { int32_t data; } fixed_point;
+
+static inline fixed_point fixed_point_add(fixed_point x, fixed_point y) { fixed_point r = { x.data + y.data }; return r; }
+static inline fixed_point fixed_point_sub(fixed_point x, fixed_point y) { fixed_point r = { x.data - y.data }; return r; }
+static inline fixed_point fixed_point_mul(fixed_point x, fixed_point y) { fixed_point r = { x.data * y.data / 256 }; return r; }
+static inline fixed_point fixed_point_div(fixed_point x, fixed_point y) { fixed_point r = { (x.data * 256) / y.data }; return r; }
+
+static inline fixed_point fixed_point_neg(fixed_point x) { fixed_point r = { -x.data }; return r; }
+static inline fixed_point fixed_point_abs(fixed_point x) { fixed_point r = { x.data < 0 ? -x.data : x.data }; return r; }
+
+static inline bool fixed_point_lt(fixed_point x, fixed_point y) { return x.data < y.data; }
+static inline bool fixed_point_gt(fixed_point x, fixed_point y) { return x.data > y.data; }
+static inline bool fixed_point_le(fixed_point x, fixed_point y) { return x.data <= y.data; }
+static inline bool fixed_point_ge(fixed_point x, fixed_point y) { return x.data >= y.data; }
+static inline bool fixed_point_eq(fixed_point x, fixed_point y) { return x.data == y.data; }
+static inline bool fixed_point_ne(fixed_point x, fixed_point y) { return x.data != y.data; }
+
+#define FIXED_POINT_I(x, y) { ((x) * 256) + ((y) * 256 / 1000) }
+
+static inline fixed_point FIXED_POINT(unsigned x, unsigned y) {
+ fixed_point r = { ((int) x * 256) + ((int) y * 256 / 1000) };
+ return r;
+}
+
+static inline int fixed_point_cast_int(fixed_point x) { return x.data / 256; }
+
+static inline fixed_point fixed_point_min(fixed_point x, fixed_point y) { return fixed_point_lt(x, y) ? x : y; }
+static inline fixed_point fixed_point_max(fixed_point x, fixed_point y) { return fixed_point_gt(x, y) ? x : y; }
+
+#endif
--- /dev/null
+#ifndef INCLUDED_RECTANGLE_H
+#define INCLUDED_RECTANGLE_H
+
+#include "fixed_point.h"
+
+typedef struct {
+ fixed_point x;
+ fixed_point y;
+} vec2d;
+
+static inline vec2d vec2d_add(vec2d v1, vec2d v2) {
+ vec2d r = {
+ fixed_point_add(v1.x, v2.x),
+ fixed_point_add(v1.y, v2.y)
+ };
+
+ return r;
+}
+
+typedef struct {
+ vec2d pos;
+ vec2d extent;
+} rectangle;
+
+static inline fixed_point rectangle_top (rectangle const *r) { return r->pos.y; }
+static inline fixed_point rectangle_left (rectangle const *r) { return r->pos.x; }
+static inline fixed_point rectangle_bottom(rectangle const *r) { return fixed_point_add(rectangle_top (r), r->extent.y); }
+static inline fixed_point rectangle_right (rectangle const *r) { return fixed_point_add(rectangle_left(r), r->extent.x); }
+
+static inline fixed_point rectangle_width (rectangle const *r) { return r->extent.x; }
+static inline fixed_point rectangle_height(rectangle const *r) { return r->extent.y; }
+
+static inline vec2d rectangle_mid(rectangle const *r) {
+ vec2d v = { fixed_point_add(r->pos.x, fixed_point_div(r->extent.x, FIXED_POINT(2, 0))),
+ fixed_point_add(r->pos.y, fixed_point_div(r->extent.y, FIXED_POINT(2, 0)))
+ };
+ return v;
+}
+
+static inline void rectangle_move_to (rectangle *r, vec2d new_pos) { r->pos = new_pos; }
+static inline void rectangle_move_to_x(rectangle *r, fixed_point new_x ) { r->pos.x = new_x; }
+static inline void rectangle_move_to_y(rectangle *r, fixed_point new_y ) { r->pos.x = new_y; }
+
+static inline bool rectangle_intersect(rectangle const *r1,
+ rectangle const *r2) {
+ return (fixed_point_lt(rectangle_top (r1), rectangle_bottom(r2)) &&
+ fixed_point_gt(rectangle_bottom(r1), rectangle_top (r2)) &&
+ fixed_point_lt(rectangle_left (r1), rectangle_right (r2)) &&
+ fixed_point_gt(rectangle_right (r1), rectangle_left (r2)));
+}
+
+#endif