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rogueviz:: added the Impossible Ring visualization
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Zeno Rogue
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242
rogueviz/impossible-ring.cpp
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242
rogueviz/impossible-ring.cpp
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#include "../hyper.h"
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// Impossible Ring visualization
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// used in:
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// https://youtu.be/3WejR74o6II
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// https://youtu.be/ztodGQDK810
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namespace hr {
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ld cscale = .2;
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struct iring {
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static const int frames = 32;
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static const int cols = 256;
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static const int steps = 2048;
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array<array<hpcshape, cols>, frames> ptriangle[2];
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vector<color_t> huess[2];
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vector<transmatrix> path;
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void init() {
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unsigned difh = 256;
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int mh = 255;
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color_t base = 0xFF;
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auto& hues = huess[0];
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for(unsigned y=0; y<difh; y++)
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hues.push_back(base + 0x1000000*mh + 0x10000 * y);
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for(unsigned y=0; y<difh; y++)
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hues.push_back(base + 0x1010000*mh - 0x1000000 * y);
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for(unsigned y=0; y<difh; y++)
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hues.push_back(base + 0x0010000*mh + 0x100 * y);
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for(unsigned y=0; y<difh; y++)
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hues.push_back(base + 0x0010100*mh - 0x10000 * y);
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for(unsigned y=0; y<difh; y++)
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hues.push_back(base + 0x0000100*mh + 0x1000000 * y);
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for(unsigned y=0; y<difh; y++)
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hues.push_back(base + 0x1000100*mh - 0x100 * y);
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for(color_t h: hues) huess[1].push_back(((h & 0xFEFEFE00) >> 1) | 0xFF);
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ld delta = 0.004;
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transmatrix T = cspin(1, 2, 45*degree);
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int switchat = nil ? 1024 : 2048;
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auto step = [&] (int id) {
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ld alpha = id * 1. / steps * 2 * M_PI;
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if(id < switchat)
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return T * point3(cos(alpha) * delta, sin(alpha) * delta, 0);
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else
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return T * point3(cos(alpha) * delta, 0, sin(alpha) * delta);
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};
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ld dmin = 0, dmax = 1;
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auto shift = [&] (ld d) {
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delta = d;
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hyperpoint start = C0;
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for(int a=0; a<steps; a++) {
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hyperpoint s = step(a);
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start = rgpushxto0(start) * (C0+s);
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}
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println(hlog, "start[", delta, "] = ", kz(start));
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return start[2];
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};
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println(hlog, shift(0.0001), shift(1));
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if(nil) for(int it=0; it<50; it++) {
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delta = (dmin + dmax) / 2;
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ld val = shift(delta);
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if(val > 0) dmax = delta;
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else dmin = delta;
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}
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println(hlog, "delta = ", delta);
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vector<array<hyperpoint, 4> > pipe;
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hyperpoint start = C0;
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path.resize(2 * steps);
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for(int a=0; a<steps; a++) {
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hyperpoint uds[3];
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ld alpha = a * 1. / steps * 2 * M_PI;
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if(a < switchat) {
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uds[0] = T * point31(sin(alpha) * cscale, -cos(alpha) * cscale, 0) - C0;
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uds[1] = T * point31(0, 0, cscale) - C0;
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uds[2] = T * point31(-cos(alpha) * cscale, -sin(alpha) * cscale, 0) - C0;
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}
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else {
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uds[0] = T * point31(0, cscale, 0) - C0;
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uds[1] = T * point31(sin(alpha) * cscale, 0, -cos(alpha) * cscale) - C0;
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uds[2] = T * point31(-cos(alpha) * cscale, 0, -sin(alpha) * cscale) - C0;
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}
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// compute cube vertices
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array<hyperpoint, 4> verts;
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for(int a=0; a<4; a++) {
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verts[a] = C0;
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for(int k=0; k<2; k++)
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verts[a] += (a&(1<<k)) ? uds[k] : -uds[k];
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verts[a] = nisot::translate(start) * verts[a];
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}
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pipe.push_back(verts);
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path[a] = inverse(build_matrix(uds[0], uds[1], uds[2], C0)) * inverse(rgpushxto0(start));
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path[a+steps] = inverse(build_matrix(-uds[0], -uds[1], uds[2], C0)) * inverse(rgpushxto0(start));
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// println(hlog, "gs = ", gpushxto0(start));
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println(hlog, "start @ ", inverse(rgpushxto0(start)) * start);
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hyperpoint s = step(a);
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start = rgpushxto0(start) * (C0 + s);
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// * );
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}
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pipe.resize(steps + frames);
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for(int i=0; i<frames; i++)
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for(int j=0; j<4; j++)
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pipe[i+steps][j] = pipe[i][j^3];
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for(int fr=0; fr<frames; fr++)
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for(int sa=0; sa<2; sa++)
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for(int si=0; si<cols; si++) {
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auto textured_square = [&] (auto f) {
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texture_order([&] (ld ix, ld iy) { f(.5 + ix/2 + iy/2, .5 + ix/2 - iy/2); });
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texture_order([&] (ld ix, ld iy) { f(.5 - ix/2 - iy/2, .5 - ix/2 + iy/2); });
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texture_order([&] (ld ix, ld iy) { f(.5 + ix/2 - iy/2, .5 - ix/2 - iy/2); });
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texture_order([&] (ld ix, ld iy) { f(.5 - ix/2 + iy/2, .5 + ix/2 + iy/2); });
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};
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auto pipesquare = [&] (hyperpoint a00, hyperpoint a01, hyperpoint a10, hyperpoint a11) {
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textured_square( [&] (ld ix, ld iy) {
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hyperpoint shf = lerp(lerp(a00, a01, ix), lerp(a10, a11, ix), iy);
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// if(cscale) shf = shf * cscale - C0 * (cscale-1);
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cgi.hpcpush(shf);
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});
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};
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cgi.bshape(ptriangle[sa][fr][si], PPR::WALL);
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for(int i=fr; i<steps; i+=frames) {
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auto& pi = pipe[i];
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auto& pj = pipe[i+frames];
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int val = i * cols / steps / 2;
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if(si == val && sa == 0) pipesquare(pi[0], pi[2], pj[0], pj[2]);
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if(si == (val+cols/2)%cols && sa == 0) pipesquare(pi[1], pi[3], pj[1], pj[3]);
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if(si == (val+cols/4)%cols && sa == 1) pipesquare(pi[0], pi[1], pj[0], pj[1]);
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if(si == (val+cols*3/4)%cols && sa == 1) pipesquare(pi[2], pi[3], pj[2], pj[3]);
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}
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cgi.last->flags |= POLY_TRIANGLES;
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cgi.last->tinf = &floor_texture_vertices[0];
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cgi.last->texture_offset = 0;
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cgi.finishshape();
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cgi.extra_vertices();
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}
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}
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};
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iring *ir;
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bool draw_ptriangle(cell *c, const transmatrix& V) {
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if(!ir) { ir = new iring; ir->init();
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// growthrate();
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}
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if(c == cwt.at) {
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int frid = (ticks % 1000) * ir->frames / 1000;
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for(int sa: {0, 1})
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for(int side=0; side<ir->cols; side++) {
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auto &s = queuepoly(V, ir->ptriangle[sa][frid][side], ir->huess[sa][256*6/ir->cols * side]);
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ensure_vertex_number(*s.tinf, s.cnt);
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/* auto& s1 = queuepoly(V * nisot::translate(td.at), ir->pcube[side], gradient(tcolors[td.tcolor], magiccolors[side], 0, .2, 1));
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ensure_vertex_number(*s1.tinf, s1.cnt); */
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}
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}
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return false;
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}
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bool cylanim = false;
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auto hchook = addHook(hooks_drawcell, 100, draw_ptriangle)
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+ addHook(hooks_args, 100, [] {
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using namespace arg;
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if(0) ;
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else if(argis("-cyls")) {
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shift_arg_formula(cscale);
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}
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else if(argis("-cylanim")) {
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cylanim = !cylanim;
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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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+ addHook(anims::hooks_anim, 100, [] {
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if(!ir || !cylanim) return;
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centerover = currentmap->gamestart();
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long long isp = isize(ir->path);
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View = ir->path[isp-1 - (ticks * isp / int(anims::period)) % isp];
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shift_view(point3(0, 0.3, 0));
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anims::moved();
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});
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}
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