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Hypersian Rug for the torus
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Zeno Rogue
@@ -3,6 +3,7 @@
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// implementation of the Hypersian Rug mode
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#if CAP_RUG
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#define TEXTURESIZE (texturesize)
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@@ -32,6 +33,8 @@ GLAPI void APIENTRY glDeleteFramebuffers (GLsizei n, const GLuint *framebuffers)
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namespace rug {
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double rugzoom = .3;
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// hypersian rug datatypes and globals
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//-------------------------------------
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@@ -134,8 +137,131 @@ void calcLengths() {
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points[i]->edges[j].len = hdist(points[i]->h, points[i]->edges[j].target->h);
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}
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void setVidParam() {
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vid.xres = vid.yres = TEXTURESIZE; vid.scale = 1;
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vid.radius = HTEXTURESIZE; vid.xcenter = HTEXTURESIZE; vid.ycenter = HTEXTURESIZE;
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vid.beta = 2; vid.alphax = 1; vid.eye = 0; vid.goteyes = false;
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if(torus) vid.radius *= rugzoom;
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}
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void buildTorusRug() {
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using namespace torusconfig;
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dynamicval<videopar> d(vid, vid);
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rugzoom = 1;
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setVidParam();
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struct toruspoint {
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int x,y;
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toruspoint() { x=qty; y=qty; }
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toruspoint(int _x, int _y) : x(_x), y(_y) {}
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int d2() {
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return x*x+x*y+y*y;
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}
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};
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vector<toruspoint> zeropoints;
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vector<toruspoint> tps(qty);
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for(int ax=-qty; ax<qty; ax++)
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for(int ay=-qty; ay<qty; ay++) {
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int v = (ax*dx + ay*dy) % qty;
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if(v<0) v += qty;
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toruspoint tp(ax, ay);
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if(tps[v].d2() > tp.d2()) tps[v] = tp;
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if(v == 0)
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zeropoints.emplace_back(ax, ay);
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}
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pair<toruspoint, toruspoint> solution;
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ld bestsol = 1e12;
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for(auto p1: zeropoints)
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for(auto p2: zeropoints) {
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int det = p1.x * p2.y - p2.x * p1.y;
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if(det < 0) continue;
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if(det != qty && det != -qty) continue;
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ld quality = ld(p1.d2()) * p2.d2();
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if(quality < bestsol * 3)
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if(quality < bestsol)
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bestsol = quality, solution.first = p1, solution.second = p2;
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}
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if(solution.first.d2() > solution.second.d2())
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swap(solution.first, solution.second);
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ld factor = sqrt(ld(solution.second.d2()) / solution.first.d2());
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printf("factor = %lf\n", factor);
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if(factor < 2) factor = 2.2;
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factor -= 1;
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// 22,1
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// 7,-17
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// transmatrix z1 = {{{22,7,0}, {1,-17,0}, {0,0,1}}};
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transmatrix z1 = {{{(ld)solution.first.x,(ld)solution.second.x,0}, {(ld)solution.first.y,(ld)solution.second.y,0}, {0,0,1}}};
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transmatrix z2 = inverse(z1);
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printf("h1 = %s\n", display(z2 * hyperpoint {22,1,0}));
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auto addToruspoint = [&] (int x, int y) {
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auto r = addRugpoint(C0, 0);
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hyperpoint onscreen;
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applymodel(tC0(eumove(x, y)), onscreen);
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// take point (1,0)
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// apply eumove(1,0)
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// divide by EUCSCALE
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// multiply by vid.radius (= HTEXTURESIZE * rugzoom)
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// add 1, divide by texturesize
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r->x1 = onscreen[0];
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r->y1 = onscreen[1];
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// r->y1 = (1 + onscreen[1] * rugzoom / EUCSCALE)/2;
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hyperpoint h1 = hpxyz(x, y, 0);
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hyperpoint h2 = z2 * h1;
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double alpha = -h2[0] * 2 * M_PI;
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double beta = -h2[1] * 2 * M_PI;
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// r->flat = {alpha, beta, 0};
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double sc = (factor+1)/4;
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r->flat = {(factor+cos(alpha)) * cos(beta) * sc, (factor+cos(alpha)) * sin(beta) * sc, -sin(alpha) * sc};
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r->valid = true;
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return r;
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};
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for(int i=0; i<qty; i++) {
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int x = tps[i].x, y = tps[i].y;
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auto r00 = addToruspoint(x, y);
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auto r10 = addToruspoint(x+1, y);
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auto r01 = addToruspoint(x, y+1);
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auto rn1 = addToruspoint(x-1, y+1);
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addTriangle(r00, r10, r01);
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addTriangle(r00, r01, rn1);
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}
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double maxz = 0;
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for(auto p: points)
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maxz = max(maxz, max(abs(p->x1), abs(p->y1)));
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// maxz * rugzoom * vid.radius == vid.radius
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rugzoom = 1 / maxz;
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printf("rugzoom = %lf\n", rugzoom);
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for(auto p: points)
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p->x1 = (vid.xcenter + vid.radius * rugzoom * p->x1)/ vid.xres,
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p->y1 = (vid.ycenter - vid.radius * rugzoom * p->y1)/ vid.yres;
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return;
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}
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void buildRug() {
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if(torus) {
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buildTorusRug();
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return;
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}
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map<cell*, rugpoint *> vptr;
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for(int i=0; i<size(dcal); i++)
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@@ -305,6 +431,7 @@ void addNewPoints() {
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void physics() {
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if(torus) return;
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for(int it=0; it<10000 && !stop; it++)
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if(pqueue.empty()) addNewPoints();
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else {
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@@ -364,12 +491,6 @@ void drawTriangle(triangle& t) {
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glVertex3f(x3, y3, z3);
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}
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void setVidParam() {
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vid.xres = vid.yres = TEXTURESIZE; vid.scale = 1;
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vid.radius = HTEXTURESIZE; vid.xcenter = HTEXTURESIZE; vid.ycenter = HTEXTURESIZE;
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vid.beta = 2; vid.alphax = 1; vid.eye = 0; vid.goteyes = false;
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}
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GLuint FramebufferName = 0;
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GLuint renderedTexture = 0;
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GLuint depth_stencil_rb = 0;
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@@ -447,7 +568,10 @@ void prepareTexture() {
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setGLProjection();
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ptds.clear();
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drawthemap();
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if(!renderonce) queueline(C0, mouseh, 0xFF00FF);
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if(!renderonce) {
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for(int i=0; i<numplayers(); i++) if(multi::playerActive(i))
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queueline(tC0(shmup::ggmatrix(playerpos(i))), mouseh, 0xFF00FF, 8);
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}
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drawqueue();
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glBindFramebuffer(GL_FRAMEBUFFER, 0);
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#endif
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@@ -639,15 +763,42 @@ hyperpoint gethyper(ld x, ld y) {
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double mx = ((x*2 / vid.xres)-1) * xview;
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double my = (1-(y*2 / vid.yres)) * yview;
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double bdist = 1e12;
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besti = 0;
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for(int i=0; i<size(points); i++) {
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rugpoint& m = *points[i];
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double dist = hypot(m.flat[0]-mx, m.flat[1]-my);
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if(dist < bdist) bdist = dist, besti = i;
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double rx1, ry1;
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bool found = false;
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for(int i=0; i<size(triangles); i++) {
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auto r0 = triangles[i].m[0];
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auto r1 = triangles[i].m[1];
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auto r2 = triangles[i].m[2];
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double dx1 = r1->flat[0] - r0->flat[0];
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double dy1 = r1->flat[1] - r0->flat[1];
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double dx2 = r2->flat[0] - r0->flat[0];
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double dy2 = r2->flat[1] - r0->flat[1];
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double dxm = mx - r0->flat[0];
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double dym = my - r0->flat[1];
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// A (dx1,dy1) = (1,0)
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// B (dx2,dy2) = (0,1)
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double det = dx1*dy2 - dy1*dx2;
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double tx = dxm * dy2 - dym * dx2;
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double ty = -(dxm * dy1 - dym * dx1);
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tx /= det; ty /= det;
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if(tx >= 0 && ty >= 0 && tx+ty <= 1) {
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double rz1 = r0->flat[2] * (1-tx-ty) + r1->flat[2] * tx + r2->flat[2] * ty;
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rz1 = -rz1;
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if(rz1 < bdist) {
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bdist = rz1;
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rx1 = r0->x1 + (r1->x1 - r0->x1) * tx + (r2->x1 - r0->x1) * ty;
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ry1 = r0->y1 + (r1->y1 - r0->y1) * tx + (r2->y1 - r0->y1) * ty;
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}
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found = true;
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}
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}
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double px = points[besti]->x1 * TEXTURESIZE, py = (1-points[besti]->y1) * TEXTURESIZE;
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if(!found) return hpxy(0,0);
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double px = rx1 * TEXTURESIZE, py = (1-ry1) * TEXTURESIZE;
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videopar svid = vid;
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setVidParam();
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@@ -660,7 +811,7 @@ hyperpoint gethyper(ld x, ld y) {
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void show() {
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dialog::init(XLAT("hypersian rug mode"), iinf[itPalace].color, 150, 100);
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if(euclid || sphere) {
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if((euclid || sphere) && !torus) {
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dialog::addInfo("This makes sense only in hyperbolic geometry.");
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dialog::addBreak(50);
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}
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@@ -690,7 +841,7 @@ void show() {
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"Use arrow keys to rotate, Page Up/Down to zoom."
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);
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else if(uni == 'u') {
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if(euclid || sphere)
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if((euclid || sphere) && !torus)
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addMessage("This makes sense only in hyperbolic geometry.");
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else {
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rug::init();
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