added rectangle binary search tree as collision index.

This commit is contained in:
Antonio Carzaniga 2019-08-20 16:15:29 +02:00
parent a8e616a608
commit 956e652827

264
balls.c
View File

@ -24,28 +24,26 @@ struct ball {
cairo_surface_t * surface;
};
static int collisions = 1;
double delta = 0.01; /* seconds */
static double delta = 0.01; /* seconds */
unsigned int width = DEFAULT_WIDTH;
unsigned int height = DEFAULT_HEIGHT;
static unsigned int width = DEFAULT_WIDTH;
static unsigned int height = DEFAULT_HEIGHT;
unsigned int radius_min = 5;
unsigned int radius_max = 10;
static unsigned int radius_min = 5;
static unsigned int radius_max = 10;
static unsigned int v_max = 100;
static unsigned int v_min = 0;
unsigned int v_max = 100;
unsigned int v_min = 0;
struct ball * balls = 0;
unsigned int n_balls = 50;
static double g_y = 20;
static double g_x = 0;
double g_y = 20;
double g_x = 0;
static double clear_alpha = 1.0;
double clear_alpha = 1.0;
static void random_velocity(struct ball * p) {
void random_velocity(struct ball * p) {
double r2;
do {
p->v_x = v_min + rand() % (v_max + 1 - v_min);
@ -72,7 +70,7 @@ void balls_init_state () {
}
}
static void ball_collision (struct ball * p, struct ball * q) {
void ball_collision (struct ball * p, struct ball * q) {
double dx = q->x - p->x;
double dy = q->y - p->y;
double d2 = dx*dx + dy*dy;
@ -134,14 +132,191 @@ void movement_and_borders () {
ball_update_state(balls + i);
}
void check_collisions () {
/* Collision check with index
*/
struct rectangle {
double min_x; /* left */
double min_y; /* bottom */
double max_x; /* right */
double max_y; /* top */
};
struct bt_node {
struct ball * ball;
struct rectangle r;
struct bt_node * left;
struct bt_node * right;
};
struct bt_node * c_index = 0;
static struct bt_node * c_index_init_node(struct bt_node * n, struct ball * b) {
n->ball = b;
n->r.min_x = b->x - b->radius;
n->r.min_y = b->y - b->radius;
n->r.max_x = b->x + b->radius;
n->r.max_y = b->y + b->radius;
n->left = 0;
n->right = 0;
return n;
}
static void c_index_add_ball(struct bt_node * n, const struct ball * b) {
if (n->r.min_x > b->x - b->radius)
n->r.min_x = b->x - b->radius;
if (n->r.min_y > b->y - b->radius)
n->r.min_y = b->y - b->radius;
if (n->r.max_x < b->x + b->radius)
n->r.max_x = b->x + b->radius;
if (n->r.max_y < b->y + b->radius)
n->r.max_y = b->y + b->radius;
}
static void c_index_insert(struct bt_node * t, struct bt_node * n, struct ball * b) {
assert(t);
double w = width;
double h = height;
double ref_x = 0.0;
double ref_y = 0.0;
for (;;) {
c_index_add_ball(t, b);
if (w > h) { /* horizontal split */
if (b->x <= t->ball->x) {
if (t->left) {
w = t->ball->x - ref_x;
t = t->left;
} else {
t->left = c_index_init_node(n, b);
return;
}
} else {
if (t->right) {
w -= t->ball->x - ref_x;
ref_x = t->ball->x;
t = t->right;
} else {
t->right = c_index_init_node(n, b);
return;
}
}
} else { /* vertical split */
if (b->y <= t->ball->y) {
if (t->left) {
h = t->ball->y - ref_y;
t = t->left;
} else {
t->left = c_index_init_node(n, b);
return;
}
} else {
if (t->right) {
h -= t->ball->y - ref_y;
ref_y = t->ball->y;
t = t->right;
} else {
t->right = c_index_init_node(n, b);
return;
}
}
}
}
}
void c_index_build() {
c_index_init_node(c_index, balls);
for(int i = 1; i < n_balls; ++i) {
c_index_insert(c_index, c_index + i, balls + i);
}
}
struct bt_node ** c_index_stack = 0;
unsigned int c_index_stack_top = 0;
void c_index_stack_clear() {
c_index_stack_top = 0;
}
static void c_index_stack_push(struct bt_node * n) {
c_index_stack[c_index_stack_top++] = n;
}
static struct bt_node * c_index_stack_pop() {
if (c_index_stack_top > 0)
return c_index_stack[--c_index_stack_top];
else
return 0;
}
static int c_index_ball_in_rectangle(const struct bt_node * n, const struct ball * b) {
return n->r.min_x <= b->x + b->radius
&& n->r.max_x >= b->x - b->radius
&& n->r.min_y <= b->y + b->radius
&& n->r.max_y >= b->y - b->radius;
}
static int c_index_must_check(const struct bt_node * n, const struct ball * b) {
return n != 0 && n->ball < b && c_index_ball_in_rectangle(n, b);
}
void c_index_check_collisions() {
for(struct ball * b = balls + 1; b < balls + n_balls; ++b) {
c_index_stack_clear();
struct bt_node * n = c_index;
do {
ball_collision(n->ball, b);
if (c_index_must_check(n->left, b)) {
if (c_index_must_check(n->right, b)) {
c_index_stack_push(n->right);
}
n = n->left;
} else if (c_index_must_check(n->right, b)) {
n = n->right;
} else {
n = c_index_stack_pop();
}
} while (n);
}
}
int c_index_init() {
if (!c_index)
c_index = malloc(sizeof(struct bt_node) * n_balls);
if (!c_index)
return 0;
if (!c_index_stack)
c_index_stack = malloc(sizeof(struct bt_node *) * n_balls);
if (!c_index_stack)
return 0;
return 1;
}
void c_index_destroy() {
if (c_index)
free(c_index);
if (c_index_stack)
free(c_index_stack);
c_index = 0;
c_index_stack = 0;
}
/* Trivial collision check
*/
void check_collisions_simple () {
for(int i = 0; i < n_balls; ++i)
for(int j = i + 1; j < n_balls; ++j)
ball_collision(balls + i, balls + j);
}
static void update_state () {
if (collisions)
void check_collisions_with_index () {
c_index_build();
c_index_check_collisions();
}
void (*check_collisions)() = 0;
void update_state () {
if (check_collisions)
check_collisions();
movement_and_borders();
}
@ -149,13 +324,13 @@ static void update_state () {
/* Graphics System
*/
static GtkWidget * window;
static cairo_t * cr = 0;
GtkWidget * window;
cairo_t * cr = 0;
static int gravity_vector_countdown = 0;
static int gravity_vector_init = 300;
int gravity_vector_countdown = 0;
int gravity_vector_init = 300;
static void draw_gravity_vector() {
void draw_gravity_vector() {
if (gravity_vector_countdown != 0) {
cairo_new_path(cr);
cairo_move_to(cr, width/2, height/2);
@ -170,10 +345,10 @@ static void draw_gravity_vector() {
}
}
static int balls_graphics_initialized = 0;
int balls_graphics_initialized = 0;
const char * face_filename = 0;
static void init_graphics() {
void init_graphics() {
if (cr)
cairo_destroy(cr);
cr = gdk_cairo_create(window->window);
@ -223,7 +398,7 @@ static void init_graphics() {
balls_graphics_initialized = 1;
}
static void destroy_graphics() {
void destroy_graphics() {
if (cr) {
cairo_destroy(cr);
cr = 0;
@ -235,7 +410,7 @@ static void destroy_graphics() {
}
}
static void draw_balls_onto_window () {
void draw_balls_onto_window () {
/* clear pixmap */
cairo_set_source_rgba(cr, 0.0, 0.0, 0.0, clear_alpha);
cairo_paint(cr);
@ -252,7 +427,7 @@ static void draw_balls_onto_window () {
}
}
static gint resize_event (GtkWidget *widget, GdkEventConfigure * event) {
gint resize_event (GtkWidget *widget, GdkEventConfigure * event) {
if (width == widget->allocation.width && height == widget->allocation.height)
return FALSE;
@ -265,7 +440,7 @@ static gint resize_event (GtkWidget *widget, GdkEventConfigure * event) {
return TRUE;
}
static gint keyboard_input (GtkWidget *widget, GdkEventKey *event) {
gint keyboard_input (GtkWidget *widget, GdkEventKey *event) {
if (event->type != GDK_KEY_PRESS)
return FALSE;
switch(event->keyval) {
@ -299,15 +474,15 @@ static gint keyboard_input (GtkWidget *widget, GdkEventKey *event) {
return TRUE;
}
static void show_event (GtkWidget *widget, gpointer data) {
void show_event (GtkWidget *widget, gpointer data) {
init_graphics();
}
static gboolean expose_event (GtkWidget *widget, GdkEventExpose *event, gpointer data) {
gboolean expose_event (GtkWidget *widget, GdkEventExpose *event, gpointer data) {
return TRUE;
}
static void destroy_window (void) {
void destroy_window (void) {
gtk_main_quit();
}
@ -325,11 +500,11 @@ void print_usage (const char * progname) {
"\tface=<filename>\n"
"\tclear=<clear-alpha>\n"
"\t-v :: enables rendering timing statitstics\n"
"\t-c :: disables ball-ball collisions\n",
"\tcollisions=<C> :: n=no collisions, s=simple, i=index\n",
progname);
}
static int rendering_statistics = 0;
int rendering_statistics = 0;
gboolean timeout (gpointer user_data) {
guint64 start = 0, elapsed_usec;
@ -385,9 +560,23 @@ int main (int argc, const char *argv[]) {
rendering_statistics = 1;
continue;
}
if (strcmp(argv[i], "-c") == 0) {
collisions = 0;
continue;
char collisions;
if (sscanf(argv[i], "collisions=%c", &collisions) == 1) {
switch (collisions) {
case 'i':
case 'I':
check_collisions = check_collisions_with_index;
continue;
case '0':
case 'N':
case 'n':
check_collisions = 0;
continue;
case 's':
case 'S':
check_collisions = check_collisions_simple;
continue;
}
}
print_usage(argv[0]);
return 1;
@ -395,6 +584,8 @@ int main (int argc, const char *argv[]) {
balls = malloc(sizeof(struct ball)*n_balls);
assert(balls);
assert(c_index_init());
balls_init_state();
@ -424,6 +615,7 @@ int main (int argc, const char *argv[]) {
printf("\n");
destroy_graphics();
c_index_destroy();
free(balls);
return 0;