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new system for inverting stereographic projections, and other improvements in the spherical perspective

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Zeno Rogue 2018-07-23 14:06:56 +02:00
parent 1bc9bbd808
commit 12dd76b216
1 changed files with 107 additions and 18 deletions
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105
polygons.cpp
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@ -6,6 +6,18 @@
namespace hr {
ld signum(ld x) { return x<0?-1:x>0?1:0; }
bool asign(ld y1, ld y2) {
return signum(y1) != signum(y2);
}
ld xcross(ld x1, ld y1, ld x2, ld y2) {
return x1 + (x2 - x1) * y1 / (y1 - y2);
}
hyperpoint intester;
// draw the lines
static const int POLY_DRAWLINES = 1;
// draw the area
@ -38,6 +50,9 @@ static const int POLY_VCONVEX = 4096;
// Convex shape (central)
static const int POLY_CCONVEX = 8192;
// new system of side checking
static const int POLY_CENTERIN = 16384;
vector<hyperpoint> hpc;
int prehpc;
@ -200,16 +215,41 @@ void addpoly(const transmatrix& V, const vector<glvertex> &tab, int ofs, int cnt
hyperpoint last = V * glhr::gltopoint(tab[ofs]);
bool last_behind = is_behind(last);
if(!last_behind) addpoint(last);
hyperpoint enter;
hyperpoint firstleave;
int start_behind = last_behind ? 1 : 0;
for(int i=ofs+1; i<ofs+cnt; i++) {
hyperpoint curr = V*glhr::gltopoint(tab[i]);
if(is_behind(curr) != last_behind) {
addpoint(be_just_on_view(last, curr));
last = curr; last_behind = !last_behind;
hyperpoint h = be_just_on_view(last, curr);
if(start_behind == 1) start_behind = 2, firstleave = h;
if(!last_behind) enter = h;
else if(h[0] * enter[0] + h[1] * enter[1] < 0) poly_flags |= POLY_BEHIND; /*{
using namespace hyperpoint_vec;
ld zl = zlevel(h);
ld sca2 = zl*zl - pow(vid.alpha - BEHIND_LIMIT, 2);
// h[0]** + h[1]** + h[2]** == zl*zl
// he[0]** + he[1]** + he[2]** ==
// (he[0]** + he[1]**) * sca2 / sqhypot2(he) + he[2]**
if(sca2 > 0) {
hyperpoint he = (h + enter) / 2;
ld sca = sqrt(sca2) / hypot2(he);
he[0] *= sca; h[1] *= sca;
printf("sca2 = %lf zl=%lf/%lf\n", sca2, zlevel(h), zlevel(he));
addpoint(he);
}
} */
addpoint(h);
last_behind = !last_behind;
}
else {
if(!last_behind) addpoint(curr);
last = curr;
}
if(start_behind == 2) {
if(firstleave[0] * enter[0] + firstleave[1] * enter[1] < 0) poly_flags |= POLY_BEHIND;
else addpoint(firstleave);
}
}
@ -646,7 +686,12 @@ void drawpolyline(polytodraw& p) {
p.col = 0; */
addpoly(pp.V, *pp.tab, pp.offset, pp.cnt);
// if(poly_flags & POLY_BEHIND) return;
for(int i=1; i<isize(glcoords); i++) {
ld dx = glcoords[i][0] - glcoords[i-1][0];
ld dy = glcoords[i][1] - glcoords[i-1][1];
if(dx > vid.xres * 2 || dy > vid.yres * 2) return;
}
if(poly_flags & POLY_BEHIND) return;
if(isize(glcoords) <= 1) return;
mercator_loop_min = mercator_loop_max = 0;
@ -663,7 +708,39 @@ void drawpolyline(polytodraw& p) {
bool equi = mdAzimuthalEqui() || pmodel == mdFisheye;
bool nofill = false;
if((spherespecial > 0 || (sphere && equi)) && !(poly_flags & POLY_ISSIDE)) {
if(true) {
hyperpoint hscr;
hyperpoint h1 = pp.V * intester;
if(is_behind(h1)) nofill = true;
applymodel(h1, hscr); hscr[0] *= vid.radius; hscr[1] *= vid.radius;
for(int i=0; i<isize(glcoords)-1; i++) {
double x1 = glcoords[i][0] - hscr[0];
double y1 = glcoords[i][1] - hscr[1];
double x2 = glcoords[i+1][0] - hscr[0];
double y2 = glcoords[i+1][1] - hscr[1];
if(asign(y1, y2)) {
ld x = xcross(x1, y1, x2, y2);
if(x < -1e-6) poly_flags ^= POLY_CENTERIN;
else if (x < 1e-6) nofill = true;
}
}
poly_flags &= ~POLY_INVERSE;
if(poly_flags & POLY_CENTERIN) {
poly_flags |= POLY_INVERSE;
/* nofill = true;
pp.outline = (pp.flags & POLY_CENTERIN) ? 0x00FF00FF : 0xFF0000FF;
addpoint(hscr); */
}
}
else {
double rarea = 0;
for(int i=0; i<isize(glcoords)-1; i++)
rarea += glcoords[i][0] * glcoords[i+1][1] - glcoords[i][1] * glcoords[i+1][0];
@ -673,6 +750,7 @@ void drawpolyline(polytodraw& p) {
if(rarea>0)
poly_flags ^= POLY_INVERSE;
}
if(poly_flags & POLY_INVERSE) {
if(curradius < vid.alpha - 1e-6) return;
@ -697,8 +775,6 @@ void drawpolyline(polytodraw& p) {
lastl = l;
}
bool nofill = false;
if(equi && (poly_flags & POLY_INVERSE)) {
if(abs(zlevel(pp.V * C0) - 1) < 1e-6 && !pp.tinf) {
// we should fill the other side
@ -1249,6 +1325,17 @@ void finishshape() {
if(abs(area) < 1e-9) last->flags |= POLY_ISSIDE;
if(area >= 0) last->flags |= POLY_INVERSE;
for(int i=last->s; i<last->e-1; i++) {
ld x1 = hpc[i][0] - intester[0], y1 = hpc[i][1] - intester[1], x2 = hpc[i+1][0] - intester[0], y2 = hpc[i+1][1] - intester[1];
if(asign(y1, y2)) {
ld x = xcross(x1, y1, x2, y2);
if(abs(x) < 1e-6 && !(last->flags & POLY_ISSIDE)) {
printf("close call, x = %lf\n", x);
}
if(x < 0) last->flags ^= POLY_CENTERIN;
}
}
bool allplus = true, allminus = true;
for(int i=last->s; i<last->e-1; i++) {
ld v = hpc[i][0] * hpc[i+1][1] - hpc[i+1][0] * hpc[i][1];
@ -1416,6 +1503,8 @@ ld dlow_table[SIDEPARS], dhi_table[SIDEPARS];
void buildpolys() {
intester = hpxy(1e-3, 1.3e-3);
symmetriesAt.clear();
allshapes.clear();
geom3::compute();
@ -1483,7 +1572,7 @@ void buildpolys() {
x *= gp::scale;
if(gp::scale != 1) x /= 2;
for(int t=0; t<=S6; t++) { hpcpush(C0); if(t) hpcpush(ddi(S7 + t*S14, x) * C0);
last->flags |= POLY_HASWALLS | POLY_FULL | POLY_HASSHADOW;
last->flags |= POLY_HASWALLS | POLY_FULL | POLY_HASSHADOW | POLY_ISSIDE;
}
x = rhexf;
@ -1491,7 +1580,7 @@ void buildpolys() {
// x *= gp::scale;
bshape(shFullCross[1], PPR_FLOOR);
for(int t=0; t<=S7; t++) { hpcpush(C0); if(t) hpcpush(ddi(t*S12+td, x) * C0); }
last->flags |= POLY_HASWALLS | POLY_FULL | POLY_HASSHADOW;
last->flags |= POLY_HASWALLS | POLY_FULL | POLY_HASSHADOW | POLY_ISSIDE;
}
double floorrad0 = hexvdist*0.92;