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rogueviz:🌻: RogueViz slide, infer one of three parameters from the other two, auto-adjust rug scale when changing density, auto-resize arrays
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@ -3,34 +3,68 @@
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// use: commandline parameter -sunflower <quantity> <density>
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// e.g.: hyper -sunflower 10000 0.01
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// for spherical geometry, density is set automatically to cover the whole sphere
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// e.g.: hyper -sunflower 5 0.01
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#include "rogueviz.h"
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namespace hr {
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namespace rogueviz {
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namespace sunflower {
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bool on;
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int qty = 100;
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ld density = 1, zdensity;
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ld range;
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static const int maxfib = 300000;
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/* which property to infer from the other two: 'd'ensity, 'q'ty or 'r'ange */
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char infer;
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hyperpoint ps[maxfib];
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vector<hyperpoint> ps;
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hyperpoint p(int i) {
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ld step = M_PI * (3 - sqrt(5));
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return spin(i * step) * xpush(sphere ? (i+.5) * M_PI / qty : euclid ? sqrt((i+.5) * density) : acosh(1 + (i+.5) * density)) * C0;
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return spin(i * step) * xpush(sphere ? (i+.5) * density : euclid ? sqrt((i+.5) * density) : acosh(1 + (i+.5) * density)) * C0;
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}
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int inext[maxfib], inext2[maxfib];
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vector<int> inext, inext2;
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const vector<int> fibs =
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{1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811};
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vector<int> fibs = {1, 2};
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bool sunflower_cell(cell *c, transmatrix V) {
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if(!on) return false;
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density = zdensity / 100;
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ld qd;
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if(sphere) {
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if(infer == 'r')
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range = qty * density;
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else qd = range;
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}
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else if(euclid) {
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if(infer == 'r')
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range = sqrt(qty * density);
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else qd = range * range;
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}
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else {
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if(infer == 'r')
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range = acosh(1 + qty * density);
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else
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qd = (cosh(range) - 1);
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}
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if(infer == 'q') qty = qd / density;
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if(infer == 'd') density = qd / qty;
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ps.resize(qty);
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inext.resize(qty);
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inext2.resize(qty);
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while(fibs.back() < qty) {
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auto add = fibs.back() + *(fibs.end()-2);
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fibs.push_back(add);
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}
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if(c == cwt.at) {
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for(int i=0; i<qty; i++) ps[i] = V * p(i);
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@ -73,23 +107,102 @@ int readArgs() {
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if(0) ;
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else if(argis("-sunflower")) {
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shift(); qty = argi();
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on = true;
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infer = 'r';
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shift(); qty = argi();
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shift(); zdensity = argf() * 100;
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patterns::whichShape = '9';
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nohud = true;
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addHook(hooks_drawcell, 100, sunflower_cell);
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addHook(dialog::hooks_display_dialog, 100, [] () {
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if(current_screen_cfunction() == showMainMenu) {
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dialog::addItem("sunflower", 1001);
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dialog::add_action([] () { dialog::editNumber(zdensity, 0, 1, .1, 1, "density", "density"); });
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}
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});
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}
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else if(argis("-sunflower-qr")) {
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on = true;
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infer = 'd';
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shift(); qty = argi();
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shift(); range = argf();
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patterns::whichShape = '9';
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nohud = true;
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}
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else if(argis("-sunflower-dr")) {
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on = true;
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infer = 'q';
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shift(); density = argi();
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shift(); range = argf();
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patterns::whichShape = '9';
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nohud = true;
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}
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else return 1;
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return 0;
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}
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auto hook = addHook(hooks_args, 100, readArgs);
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ld distance_per_rug;
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bool adjust_rug;
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named_functionality o_key() {
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if(on) return named_functionality("sunflower density", [] {
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dialog::editNumber(zdensity, 0, 1, .1, 1, "density", "density");
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dialog::reaction = [] {
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if(adjust_rug)
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rug::model_distance = sqrt(zdensity) * distance_per_rug;
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else
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distance_per_rug = rug::model_distance / sqrt(zdensity);
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};
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distance_per_rug = rug::model_distance / sqrt(zdensity);
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dialog::extra_options = [] {
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dialog::addBoolItem_action("auto-adjust the Rug", adjust_rug, 'A');
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};
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});
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return named_functionality();
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}
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auto hook = 0
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#if CAP_COMMANDLINE
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+ addHook(hooks_args, 100, readArgs)
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#endif
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+ addHook(hooks_o_key, 80, o_key)
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+ addHook(hooks_drawcell, 100, sunflower_cell)
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+ addHook(rvtour::hooks_build_rvtour, 144, [] (vector<tour::slide>& v) {
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using namespace tour;
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v.push_back(
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tour::slide{"unsorted/sunflower spirals", 18, LEGAL::ANY | QUICKGEO,
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"A sunflower sends out its n-th seed at angle 180° (3-sqrt(5)). "
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"As new seeds are created, older seeds are pushed out. Therefore. "
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"the distance d(n) of the n-th seed from the center will be such that "
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"the area of a circle of radius d(n) changes linearly with n.\n\n"
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"In the Euclidean plane, this process creates an interesting "
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"phenomenon: if we try to compute the number of spirals at a given "
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"distance from the center, we usually obtain a Fibonacci number. "
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"The further from the start we are, the larger Fibonacci number we "
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"get.\n\n"
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"Because of the exponential growth in the hyperbolic plane, we "
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"get to larger Fibonacci numbers faster.\n\n"
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"Press 123 to change the geometry, 5 to see this in the Hypersian Rug model. "
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"Press o to change the density.",
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[] (presmode mode) {
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setCanvas(mode, '0');
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if((mode == pmStop || mode == pmGeometry) && rug::rugged) rug::close();
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if(mode == pmKey) {
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if(rug::rugged) rug::close();
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else rug::init();
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}
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if(mode == pmStart) {
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stop_game();
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tour::slide_backup(on, true);
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tour::slide_backup(range, sphere ? 2 * M_PI : euclid ? 10 : 6);
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tour::slide_backup<ld>(zdensity, 1);
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tour::slide_backup(infer, 'q');
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start_game();
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}
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}}
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);
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});
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}
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