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Euclidean spiral
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@ -393,7 +393,10 @@ namespace conformal {
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movetophase();
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}
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ld spiral_angle, cos_spiral, sin_spiral;
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ld spiral_angle, spiral_x = 10, spiral_y = 7;
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int spiral_id = 7;
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cld spiral_multiplier;
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void configure() {
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ld ball = -vid.ballangle * degree;
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@ -403,8 +406,16 @@ namespace conformal {
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model_straight = (ocos > 1 - 1e-9);
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if(conformal::on) conformal::apply();
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ld b = spiral_angle * degree;
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cos_spiral = cos(b), sin_spiral = sin(b);
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if(hyperbolic) {
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ld b = spiral_angle * degree;
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ld cos_spiral = cos(b);
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ld sin_spiral = sin(b);
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spiral_multiplier = cld(cos_spiral, sin_spiral) * M_PI * cos_spiral;
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}
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if(euclid) {
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hyperpoint h = tC0(eumove(spiral_x, spiral_y));
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spiral_multiplier = cld(0, 2 * M_PI) / cld(h[0], h[1]);
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}
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band_shift = 0;
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}
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@ -590,6 +601,33 @@ namespace conformal {
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return "?";
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}
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vector<pair<int, int> > torus_zeros;
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void match_torus_period() {
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torus_zeros.clear();
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for(int y=0; y<=200; y++)
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for(int x=-200; x<=200; x++) {
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if(y == 0 && x <= 0) continue;
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auto zero = vec_to_cellwalker(euclid_getvec(x, y));
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if(zero.at == currentmap->gamestart() && !zero.mirrored)
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torus_zeros.emplace_back(x, y);
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}
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sort(torus_zeros.begin(), torus_zeros.end(), [] (const pair<int,int> p1, const pair<int, int> p2) {
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ld d1 = hdist0(tC0(eumove(p1.first, p1.second)));
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ld d2 = hdist0(tC0(eumove(p2.first, p2.second)));
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if(d1 < d2 - 1e-6) return true;
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if(d1 > d2 + 1e-6) return false;
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return p1 < p2;
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});
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if(spiral_id > isize(torus_zeros)) spiral_id = 0;
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dialog::editNumber(spiral_id, 0, isize(torus_zeros)-1, 1, 10, XLAT("match the period of the torus"), "");
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dialog::reaction = [] () {
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tie(spiral_x, spiral_y) = torus_zeros[spiral_id];
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};
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dialog::bound_low(0);
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dialog::bound_up(isize(torus_zeros)-1);
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}
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void model_menu() {
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cmode = sm::SIDE | sm::MAYDARK | sm::CENTER;
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gamescreen(0);
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@ -769,6 +807,28 @@ namespace conformal {
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dialog::scaleLog();
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});
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}
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if(pmodel == mdSpiral && hyperbolic) {
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dialog::addSelItem(XLAT("spiral angle"), fts(spiral_angle), 'x');
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dialog::add_action([](){
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dialog::editNumber(spiral_angle, 0, 360, 15, 0, XLAT("spiral angle"), "");
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});
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}
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if(pmodel == mdSpiral && euclid) {
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dialog::addSelItem(XLAT("spiral period: x"), fts(spiral_x), 'x');
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dialog::add_action([](){
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dialog::editNumber(spiral_x, -20, 20, 1, 10, XLAT("spiral period: x"), "");
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});
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dialog::addSelItem(XLAT("spiral period: y"), fts(spiral_x), 'y');
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dialog::add_action([](){
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dialog::editNumber(spiral_y, -20, 20, 1, 10, XLAT("spiral period: y"), "");
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});
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if(torus) {
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dialog::addSelItem(XLAT("match the period of the torus"), its(spiral_id), 'n');
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dialog::add_action(match_torus_period);
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}
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}
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dialog::addSelItem(XLAT("vertical stretch"), fts3(vid.stretch), 's');
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15
hypgraph.cpp
15
hypgraph.cpp
@ -557,10 +557,10 @@ void applymodel(hyperpoint H, hyperpoint& ret) {
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}
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case mdSpiral: {
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makeband(H, ret, band_conformal);
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cld z(ret[0], ret[1]);
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z = z * cld(conformal::cos_spiral, conformal::sin_spiral) * M_PI * conformal::cos_spiral;
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cld z;
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if(hyperbolic) makeband(H, ret, band_conformal);
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else ret = H;
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z = cld(ret[0], ret[1]) * conformal::spiral_multiplier;
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z = exp(z);
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ret[0] = real(z);
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ret[1] = imag(z);
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@ -1372,6 +1372,13 @@ bool do_draw(cell *c) {
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bool do_draw(cell *c, const transmatrix& T) {
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if(!do_draw(c)) return false;
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if(euclid && pmodel == mdSpiral) {
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hyperpoint h = tC0(T);
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cld z(h[0], h[1]);
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z = z * conformal::spiral_multiplier;
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ld iz = imag(z) + 1.14279e-2; // make it never fall exactly on PI
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if(iz < -M_PI || iz >= M_PI) return false;
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}
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if(cells_drawn > vid.cells_drawn_limit) return false;
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bool usr = vid.use_smart_range || quotient || torus;
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if(usr && cells_drawn >= 50 && !in_smart_range(T)) return false;
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