/
ifs_draw.cc
337 lines (320 loc) · 8.54 KB
/
ifs_draw.cc
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//draw all the dots at depth d with seed u (recursively)
void ifs::draw_dots(int d, cpx u){
if(d<=0){
X.draw_point(cpx_to_point(u),0);
} else {
draw_dots(d-1, iterate(0,u));
draw_dots(d-1, iterate(1,u));
}
}
//same as above, but colors for z and w
void ifs::draw_color_dots(int d, cpx u, long color){
// draw IFS to depth d with seed u
if(d<=0){
X.draw_point(cpx_to_point(u), color);
} else {
draw_color_dots(d-1, iterate(0,u), 0xFFAA00);
draw_color_dots(d-1, iterate(1,u), 0x00AAFF);
}
}
//same as above, but draw them chunky starting at a given radius
void ifs::draw_color_chunky_dots(int d, cpx u, long color, double radius) {
if (d<=0) {
//the radius should get multiplied by 512
double draw_radius = radius*drawing_radius;
if (draw_radius < 1) draw_radius = 1;
X.draw_disk(cpx_to_point(u), draw_radius, color);
//cout << "radius: " << radius;
//cout << "abs(z): " << abs(z);
} else {
draw_color_chunky_dots(d-1, iterate(0,u), 0xFFAA00, radius*az);
draw_color_chunky_dots(d-1, iterate(1,u), 0x00AAFF, radius*aw);
}
}
//draw the IFS and print out the data and stuff
void ifs::draw_limit_set(){
std::stringstream T;
Point2d<int> p;
if(sync==1){
w=z;
aw = az;
} else if(sync==2) {
w=conj(z);
aw = az;
}
X.erase_field();
p.x=drawing_width+15;
p.y=drawing_width - 40;
T << "limit set (IFS attractor)";
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "z (adjust with [arrows]): " << z;
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "w (adjust with [ijkl]): " << w;
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "depth (adjust with [d/e]): " << depth;
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "step (adjust with [a/s]): " << step;
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "sync w free, w=z, w=conj(z) (cycle with [v]): " << sync;
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
if (draw_trap_mode) {
if (find_trap(int((3.0/2.0)*depth), depth, 512, 3.42, NULL,NULL, 2)) {
T << "trap found (toggle trap mode with [t])";
draw_trap();
} else {
T << "trap not found (toggle trap mode with [t])";
}
} else {
T << "trap drawing disabled (toggle trap mode with [t])";
}
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "Find trap-like vectors [r]: ";
if (find_trap_like_vectors) {
T << "on";
std::vector<Ball> TLB;
trap_like_balls(TLB, 0, 0, depth, 1);
} else {
T << "off";
}
X.draw_text(p,T,0);
T.str("");
p.y-=20;
T << "2-color IFS (toggle with [c]): ";
if(color_ifs){
T << "on";
} else {
T << "off";
};
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "chunky IFS (toggle with [x]): ";
if (chunky_ifs) {
double r;
(void)minimal_enclosing_radius(r);
T << "on (radius: " << r << ")";
} else {
T << "off";
}
X.draw_text(p,T,0);
T.str("");
p.y=p.y-20;
T << "connected: ";
if(circ_connected()){
T << "yes";
} else {
T << "no";
};
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "toggle ifs/mandelbrot with [b]";
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "quit with [q]";
X.draw_text(p,T,0x000000);
T.str("");
if(color_ifs){
if (chunky_ifs) {
double r;
(void)minimal_enclosing_radius(r);
//cout << "Chunky radius: " << chunky_radius << "\n";
draw_color_chunky_dots(depth, seed, 0x000000, r);
} else {
draw_color_dots(depth,seed,0x000000); // actual IFS is drawn
}
} else {
draw_dots(depth, seed);
};
X.draw_dot(cpx_to_point(z),0xFF0000); // z
X.draw_dot(cpx_to_point(1.0-w),0x00FF00); // 1-w
X.draw_dot(cpx_to_point(0.0),0xBDB76B); // 0
X.draw_dot(cpx_to_point(1.0),0xBDB76B); // 1
X.draw_dot(cpx_to_point(0.5),0xBDB76B); // 1
if (find_close_uv_words) {
std::vector<std::pair<Bitword,Bitword> > words;
find_closest_uv_words(words, depth);
std::cout << "UV words: \n";
for (int i=0; i<(int)words.size(); ++i) {
std::cout << i << ":\n";
std::cout << words[i].first << "\n" << words[i].second << "\n";
}
}
}
void ifs::zoom(const Point2d<int>& p){
// in mandelbrot
cpx cc;
cc=point_to_cpx(p);
center=(cc*wind)+center;
wind=wind/2.0;
mesh=mesh*2;
}
void ifs::draw_mandelbrot_set(){
// draw mandelbrot set (connectedness locus) and write values of parameters to screen
std::stringstream T;
Point2d<int> p,q;
cpx I(0,1);
cpx zz;
int i,j;
double x,y;
X.erase_field();
p.x=drawing_width + 15;
p.y=drawing_width-40;
T << "connectedness locus";
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "slice: ";
if(sync==0){
T << "w=" << w << "\n";
} else if(sync==1){
T << "w=z\n";
} else if(sync==2){
T << "w=conj(z)\n";
};
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "cycle slice type with [v]\n";
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "depth (adjust with [d/e]): " << depth;
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "center (adjust by mouse click): " << center;
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "window (zoom out with [g]): " << wind;
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "mesh (adjust with [n/m]): " << mesh;
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "toggle ifs/mandelbrot with [b]";
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "toggle disconnection depth with [f]";
X.draw_text(p,T,0x000000);
T.str("");
p.y-=20;
T << "toggle contains 1/2 with [p]";
X.draw_text(p,T,0);
T.str("");
p.y-=20;
if (draw_trap_mode) {
T << "Trap mode enabled (toggle with [t])";
} else {
T << "Trap mode disabled (toggle with [t])";
}
X.draw_text(p,T,0x000000);
T.str("");
p.y=p.y-20;
T << "Find traps via trap-like vectors [r]: ";
if (find_trap_like_vectors) {
T << "on";
} else {
T << "off";
}
X.draw_text(p,T,0);
T.str("");
p.y-=20;
T << "Draw trap loop with [o]";
X.draw_text(p,T,0);
T.str("");
p.y=p.y-20;
T << "quit with [q]";
X.draw_text(p,T,0x000000);
T.str("");
//int rcol = X.get_rgb_color(1,0,0);
int gcol = X.get_rgb_color(0,1,0);
std::vector<Ball> TLB;
int tlb_result;
bool found_TLB = false;
double trap_radius;
if (find_trap_like_vectors) {
TLB_for_region(TLB,
center-wind-(wind*I), center+wind+(wind*I),
15, NULL,NULL, 0);
if (TLB.size() > 0) {
found_TLB = true;
}
//std::cout << "Found " << uv_words.size() << " uv words\n";
//std::cout << "Found trap like balls: \n";
//for (int i=0; i<(int)TLB.size(); ++i) {
// std::cout << TLB[i] << "\n";
//}
}
for(i=0; i<drawing_width; i=i+mesh){
for(j=0; j<drawing_width; j=j+mesh){
q.x=i;
q.y=j;
x=2.0*wind*double(i)/double(drawing_width);
y=2.0*wind*double(j)/double(drawing_width);
z=center-wind-(wind*I)+x+(y*I);
az = abs(z);
if(sync==1){
w=z; // diagonal slice; could define other slices (eg w=constant,w=conj(z))
aw=az;
} else if(sync==2){
w=conj(z);
aw=az;
};
if(abs(z)>1.0){ // could truncate this to sqrt(1/2) actually
X.draw_box(q,mesh,0x000000);
} else { // if(abs(z)>0.5){
if(true){ //circ_connected()){
int temp_e_depth = exit_depth;
double difficulty;
if (draw_trap_mode &&
find_trap(int((3.0/2.0)*depth), depth, 512, 3.42, NULL, &difficulty, 0)) {
double gamount = difficulty/100.0;
int c = X.get_rgb_color(1.0,gamount,0.0);
X.draw_box(q,mesh,c);
X.flush();
} else if (draw_contains_half &&
contains_point(0.5, depth)) {
X.draw_box(q, mesh, gcol*exit_depth);
} else if (find_trap_like_vectors &&
found_TLB &&
(tlb_result = check_TLB(TLB,NULL,NULL,trap_radius,NULL,depth)) >= 0) {
double amount = double(tlb_result)/double(depth);
int c = X.get_rgb_color(0,amount,1);
X.draw_box(q,mesh,c);
} else if (circ_connected()) {
X.draw_box(q,mesh,0x000001*temp_e_depth);
}
} else if (disconnection_depth) {
X.draw_box(q,mesh,0x010000*exit_depth);
}
}
}
}
}
void ifs::draw(){
if(mode==0){
draw_limit_set();
} else if(mode==1){
draw_mandelbrot_set();
}
}