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ODS projection
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123
rug.cpp
123
rug.cpp
@ -938,6 +938,66 @@ void getco(rugpoint *m, hyperpoint& h, int &spherepoints) {
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extern int besti;
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/* these functions are for the ODS projection, used in VR videos */
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void cyclefix(ld& a, ld b) {
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if(a > b + M_PI) a -= 2 * M_PI;
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if(a < b - M_PI) a += 2 * M_PI;
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}
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ld raddif(ld a, ld b) {
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ld d = a-b;
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if(d < 0) d = -d;
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if(d > 2*M_PI) d -= 2*M_PI;
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if(d > M_PI) d = 2 * M_PI-d;
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return d;
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}
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bool ods = false;
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ld ipd = 0.1;
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bool project_ods(hyperpoint azeq, hyperpoint& h1, hyperpoint& h2, bool eye) {
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ld tanalpha = tan(ipd);
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if(eye) tanalpha = -tanalpha;
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using namespace hyperpoint_vec;
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ld d = hypot3(azeq);
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ld sindbd = sin(d)/d, cosd = cos(d);
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ld x = azeq[0] * sindbd;
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ld y = azeq[2] * sindbd;
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ld z = azeq[1] * sindbd;
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ld t = cosd;
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// printf("%10.5lf %10.5lf %10.5lf ", azeq[0], azeq[1], azeq[2]);
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// printf(" => %10.5lf %10.5lf %10.5lf %10.5lf", x, y, z, t);
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ld cottheta2 = (x*x + y*y - tanalpha*tanalpha*t*t) / (z*z);
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// if(cottheta2 < 0) printf(" BAD\n");
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if(cottheta2 < 0) return false;
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ld theta = atan(sqrt(1 / cottheta2));
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for(int i=0; i<2; i++) {
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hyperpoint& h = (i ? h1 : h2);
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if(i == 1) theta = -theta;
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ld x0 = t * tanalpha;
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ld y0 = -z / tan(theta);
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ld phi = atan2(y, x) - atan2(y0, x0);
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ld delta = atan2(z / sin(theta), t / cos(ipd));
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h[0] = phi;
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h[1] = theta;
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h[2] = delta;
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// printf(" => %10.5lf %10.5lf %10.5lf", phi, theta, delta);
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}
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// printf("\n");
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return true;
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}
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void drawTriangle(triangle& t) {
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using namespace hyperpoint_vec;
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for(int i: {0,1,2}) {
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@ -945,6 +1005,59 @@ void drawTriangle(triangle& t) {
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if(t.m[i]->dist >= sightrange+.51) return;
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}
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dt++;
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if(ods) {
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hyperpoint pts[3];
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for(int i=0; i<3; i++)
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pts[i] = t.m[i]->getglue()->flat;
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hyperpoint hc = (pts[1] - pts[0]) ^ (pts[2] - pts[0]);
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double hch = hypot3(hc);
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glNormal3f(hc[0]/hch,hc[1]/hch,hc[2]/hch);
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bool ok = true;
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array<hyperpoint, 6> h;
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for(int eye=0; eye<2; eye++) {
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if(true) {
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for(int i=0; i<3; i++)
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ok = ok && project_ods(pts[i], h[i], h[i+3], eye);
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if(!ok) return;
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for(int i=0; i<6; i++) {
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// let Delta be from 0 to 2PI
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if(h[i][2]<0) h[i][2] += 2 * M_PI;
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// Theta is from -PI/2 to PI/2. Let it be from 0 to PI
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h[i][1] += (eye?-1:1) * M_PI/2;
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}
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}
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else {
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for(int i=0; i<6; i++)
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h[i][0] = -h[i][0],
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h[i][1] = -h[i][1],
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h[i][2] = 2*M_PI-h[i][2];
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}
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if(raddif(h[4][0], h[0][0]) < raddif(h[1][0], h[0][0]))
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swap(h[1], h[4]);
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if(abs(h[1][1] - h[0][1]) > M_PI/2) return;
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if(raddif(h[5][0], h[0][0]) < raddif(h[2][0], h[0][0]))
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swap(h[5], h[2]);
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if(abs(h[2][1] - h[0][1]) > M_PI/2) return;
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cyclefix(h[1][0], h[0][0]);
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cyclefix(h[2][0], h[0][0]);
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cyclefix(h[4][0], h[3][0]);
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cyclefix(h[5][0], h[3][0]);
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for(int s: {0, 3}) {
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int fst = 0, lst = 0;
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if(h[s+1][0] < -M_PI || h[s+2][0] < -M_PI) lst++;
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if(h[s+1][0] > +M_PI || h[s+2][0] > +M_PI) fst--;
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for(int x=fst; x<=lst; x++) for(int i=0; i<3; i++) {
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glTexCoord2f(t.m[i]->x1, t.m[i]->y1);
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glVertex3f(h[s+i][0] + 2*M_PI*x, h[s+i][1], h[s+i][2]);
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}
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}
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}
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return;
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}
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int spherepoints = 0;
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array<hyperpoint,3> h;
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for(int i: {0,1,2}) getco(t.m[i], h[i], spherepoints);
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@ -1109,7 +1222,10 @@ void drawRugScene() {
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ld tanfov = tan(fov * M_PI / 360);
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if(rug_perspective) {
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if(ods) {
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glOrtho(-M_PI, M_PI, -M_PI, M_PI, 0, -M_PI * 2);
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}
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else if(rug_perspective) {
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ld vnear = .001;
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ld vfar = 1000;
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ld sca = vnear * tanfov / vid.xres;
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@ -1549,6 +1665,11 @@ int rugArgs() {
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shift(); vertex_limit = argi();
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}
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else if(argis("-ods")) {
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ods = true;
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shift(); ipd = argf();
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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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