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polygons.cpp
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polygons.cpp
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// HyperRogue, shapes used for the vector graphics
// also the implementation of the rendering queue and svg renderer
// Copyright (C) 2011-2018 Zeno Rogue, see 'hyper.cpp' for details
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);
}
// draw the lines
static const int POLY_DRAWLINES = 1;
// draw the area
static const int POLY_DRAWAREA = 2;
// draw the inverse -- useful in stereographic projection
static const int POLY_INVERSE = 4;
// never draw in inverse
static const int POLY_ISSIDE = 8;
// there are points behind the camera
static const int POLY_BEHIND = 16;
// some coordinates are too large -- best not to draw to avoid glitches
static const int POLY_TOOLARGE = 32;
// on the sphere (orthogonal projection), do not draw without any points in front
static const int POLY_INFRONT = 64;
// floor shapes which have their sidewalls
static const int POLY_HASWALLS = 128;
// plain floors
static const int POLY_PLAIN = 256;
// full floors
static const int POLY_FULL = 512;
// floor shapes which have their shadows, or can use shFloorShadow
static const int POLY_HASSHADOW = 1024;
// Goldberg shapes
static const int POLY_GP = 2048;
// Convex shape (vertex)
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;
// force wide lines
static const int POLY_FORCEWIDE = (1<<15);
// points not in front
static const int POLY_NOTINFRONT = (1<<16);
// points moved to the outline cross the image, disable
static const int POLY_NIF_ERROR = (1<<17);
// new system of side checking
static const int POLY_BADCENTERIN = (1<<18);
// precise width calculation
static const int POLY_PRECISE_WIDE = (1<<19);
// force inverted
static const int POLY_FORCE_INVERTED = (1<<20);
// always draw this
static const int POLY_ALWAYS_IN = (1<<21);
vector<hyperpoint> hpc;
int prehpc;
bool first;
bool fatborder;
color_t poly_outline;
// #define STLSORT
#define NEWSHAPE (-13.5)
#define WOLF (-15.5)
extern long double polydata[];
hpcshape *last = NULL;
vector<unique_ptr<drawqueueitem>> ptds;
void hpcpush(hyperpoint h) {
if(sphere) h = mid(h,h);
ld threshold = (sphere ? (ISMOBWEB || NONSTDVAR ? .04 : .001) : 0.1) * pow(.25, vid.linequality);
if(/*vid.usingGL && */!first && intval(hpc.back(), h) > threshold) {
hyperpoint md = mid(hpc.back(), h);
hpcpush(md);
hpcpush(h);
return;
}
first = false;
hpc.push_back(h);
}
bool validsidepar[SIDEPARS];
void chasmifyPoly(double fac, double fac2, int k) {
for(int i=isize(hpc)-1; i >= last->s; i--) {
hyperpoint H;
for(int j=0; j<3; j++) {
H[j] = hpc[i][j] * fac;
hpc[i][j] *= fac2;
}
hpc.push_back(H);
}
hpc.push_back(hpc[last->s]);
last->flags |= POLY_ISSIDE;
}
void shift(hpcshape& sh, double dx, double dy, double dz) {
hyperpoint H = hpxyz(dx, dy, dz);
transmatrix m = rgpushxto0(H);
for(int i=sh.s; i<sh.e; i++)
hpc[i] = m * hpc[i];
}
#if ISMOBILE==0
SDL_Surface *aux;
#endif
#if CAP_POLY
#define POLYMAX 60000
vector<array<GLfloat, 3>> glcoords, ourshape;
void initPolyForGL() {
ourshape.clear();
for(auto& h: hpc)
ourshape.push_back(glhr::pointtogl(h));
glhr::store_in_buffer(ourshape);
}
void extra_vertices() {
while(isize(ourshape) < isize(hpc))
ourshape.push_back(glhr::pointtogl(hpc[isize(ourshape)]));
glhr::store_in_buffer(ourshape);
glhr::current_vertices = NULL;
prehpc = isize(hpc);
}
#endif
#if CAP_POLY
int polyi;
int polyx[POLYMAX], polyxr[POLYMAX], polyy[POLYMAX];
int poly_flags;
void add1(const hyperpoint& H) {
glcoords.push_back(make_array<GLfloat>(H[0], H[1], H[2]));
}
int spherespecial, spherephase;
bool is_behind(const hyperpoint& H) {
return pmodel == mdDisk && (hyperbolic ? H[2] >= 0 : true) && vid.alpha + H[2] <= BEHIND_LIMIT;
}
hyperpoint be_just_on_view(const hyperpoint& H1, const hyperpoint &H2) {
using namespace hyperpoint_vec;
// H1[2] * t + H2[2] * (1-t) == BEHIND_LIMIT - vid.alpha
// H2[2]- BEHIND_LIMIT + vid.alpha = t * (H2[2] - H1[2])
ld t = (H2[2] - BEHIND_LIMIT + vid.alpha) / (H2[2] - H1[2]);
return H1 * t + H2 * (1-t);
}
bool last_infront;
bool nif_error_in(ld x1, ld y1, ld x2, ld y2) {
return pow(x1 * x2 + y2 * y2, 2) < (x1*x1+y1*y1)*(x2*x2+y2*y2)*.5;
}
bool knowgood;
hyperpoint goodpoint;
vector<pair<int, hyperpoint>> tofix;
bool two_sided_model() {
if(pmodel == mdHyperboloid) return !euclid;
// if(pmodel == mdHemisphere) return true;
if(pmodel == mdDisk) return sphere;
if(pmodel == mdHemisphere) return true;
if(pmodel == mdRotatedHyperboles) return true;
return false;
}
int get_side(const hyperpoint& H) {
if(pmodel == mdDisk && sphere) {
double curnorm = H[0]*H[0]+H[1]*H[1]+H[2]*H[2];
double horizon = curnorm / vid.alpha;
return (H[2] <= -horizon) ? -1 : 1;
;
}
if(pmodel == mdRotatedHyperboles)
return H[1] > 0 ? -1 : 1;
if(pmodel == mdHyperboloid && hyperbolic)
return (conformal::sin_ball * H[2] > -conformal::cos_ball * H[1]) ? -1 : 1;
if(pmodel == mdHyperboloid && sphere)
return (conformal::sin_ball * H[2] > conformal::cos_ball * H[1]) ? -1 : 1;
if(pmodel == mdHemisphere) {
hyperpoint res;
applymodel(H, res);
return res[2] < 0 ? -1 : 1;
}
return 0;
}
bool correct_side(const hyperpoint& H) {
return get_side(H) == spherespecial;
}
void fixpoint(array<float, 3>& hscr, hyperpoint H) {
hyperpoint bad = H, good = goodpoint;
for(int i=0; i<10; i++) {
hyperpoint mid = midz(bad, good);
if(correct_side(mid))
good = mid;
else
bad = mid;
}
hyperpoint Hscr;
applymodel(good, Hscr);
hscr = make_array<GLfloat>(Hscr[0]*current_display->radius, Hscr[1]*current_display->radius*vid.stretch, Hscr[2]*current_display->radius);
}
void addpoint(const hyperpoint& H) {
if(true) {
ld z = current_display->radius;
// if(vid.alpha + H[2] <= BEHIND_LIMIT && pmodel == mdDisk) poly_flags |= POLY_BEHIND;
if(spherespecial) {
if(correct_side(H)) {
poly_flags |= POLY_INFRONT, last_infront = false;
if(!knowgood || (spherespecial > 0 ? H[2]>goodpoint[2] : H[2]<goodpoint[2])) goodpoint = H, knowgood = true;
}
else if(sphere && (poly_flags & POLY_ISSIDE)) {
double curnorm = H[0]*H[0]+H[1]*H[1]+H[2]*H[2];
double horizon = curnorm / vid.alpha;
poly_flags |= POLY_NOTINFRONT;
if(last_infront && nif_error_in(glcoords.back()[0], glcoords.back()[1], H[0], H[1]))
poly_flags |= POLY_NIF_ERROR;
last_infront = true;
z *=
(sqrt(curnorm - horizon*horizon) / (vid.alpha - horizon)) /
(sqrt(curnorm - H[2]*H[2]) / (vid.alpha+H[2]));
}
else {
poly_flags |= POLY_NOTINFRONT;
tofix.push_back(make_pair(glcoords.size(), H));
add1(H);
return;
}
}
hyperpoint Hscr;
applymodel(H, Hscr);
for(int i=0; i<3; i++) Hscr[i] *= z;
Hscr[1] *= vid.stretch;
add1(Hscr);
}
}
void coords_to_poly() {
polyi = isize(glcoords);
for(int i=0; i<polyi; i++) {
// printf("%lf %lf\n", double(glcoords[i][0]), double(glcoords[i][1]));
if(!current_display->stereo_active()) glcoords[i][2] = 0;
polyx[i] = current_display->xcenter + glcoords[i][0] - glcoords[i][2];
polyxr[i] = current_display->xcenter + glcoords[i][0] + glcoords[i][2];
polyy[i] = current_display->ycenter + glcoords[i][1];
}
}
void addpoly(const transmatrix& V, const vector<glvertex> &tab, int ofs, int cnt) {
tofix.clear(); knowgood = false;
hyperpoint last = V * glhr::gltopoint(tab[ofs]);
bool last_behind = is_behind(last);
if(!last_behind) addpoint(last);
hyperpoint enter = C0;
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) {
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;
addpoint(h);
last_behind = !last_behind;
}
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);
}
if(knowgood && isize(tofix)) {
if(true) {
hyperpoint Hx = V * C0, Hy = goodpoint;
for(int i=0; i<20; i++) {
hyperpoint mid = midz(Hx, Hy);
if(correct_side(mid)) Hy = mid;
else Hx = mid;
}
using namespace hyperpoint_vec;
goodpoint = midz(Hy, goodpoint);
}
for(auto& p: tofix)
fixpoint(glcoords[p.first], p.second);
/*
hyperpoint Hscr;
applymodel(goodpoint, Hscr);
glcoords.push_back(make_array<GLfloat>(Hscr[0]*current_display->radius+10, Hscr[1]*current_display->radius*vid.stretch, Hscr[2]*vid.radius));
glcoords.push_back(make_array<GLfloat>(Hscr[0]*current_display->radius, Hscr[1]*current_display->radius*vid.stretch+10, Hscr[2]*vid.radius));
glcoords.push_back(make_array<GLfloat>(Hscr[0]*current_display->radius-10, Hscr[1]*current_display->radius*vid.stretch, Hscr[2]*vid.radius));
glcoords.push_back(make_array<GLfloat>(Hscr[0]*current_display->radius, Hscr[1]*current_display->radius*vid.stretch-10, Hscr[2]*vid.radius));
glcoords.push_back(make_array<GLfloat>(Hscr[0]*current_display->radius+10, Hscr[1]*current_display->radius*vid.stretch, Hscr[2]*vid.radius)); */
}
}
#if CAP_SDLGFX
void aapolylineColor(SDL_Surface *s, int*x, int *y, int polyi, color_t col) {
for(int i=1; i<polyi; i++)
aalineColor(s, x[i-1], y[i-1], x[i], y[i], col);
}
void polylineColor(SDL_Surface *s, int *x, int *y, int polyi, color_t col) {
for(int i=1; i<polyi; i++)
lineColor(s, x[i-1], y[i-1], x[i], y[i], col);
}
void filledPolygonColorI(SDL_Surface *s, int* px, int *py, int polyi, color_t col) {
std::vector<Sint16> spx(px, px + polyi);
std::vector<Sint16> spy(py, py + polyi);
filledPolygonColor(s, spx.data(), spy.data(), polyi, col);
}
#endif
#if CAP_TEXTURE
void drawTexturedTriangle(SDL_Surface *s, int *px, int *py, glvertex *tv, color_t col) {
transmatrix source = {{{ld(px[0]),ld(px[1]),ld(px[2])}, {ld(py[0]),ld(py[1]),ld(py[2])}, {1,1,1}}};
transmatrix target = {{{tv[0][0],tv[1][0],tv[2][0]}, {tv[0][1],tv[1][1],tv[2][1]}, {1,1,1}}};
transmatrix isource = inverse(source);
int minx = px[0], maxx = px[0];
int miny = py[0], maxy = py[0];
for(int i=1; i<3; i++)
minx = min(minx, px[i]), maxx = max(maxx, px[i]),
miny = min(miny, py[i]), maxy = max(maxy, py[i]);
for(int mx=minx; mx<maxx; mx++)
for(int my=miny; my<maxy; my++) {
hyperpoint h = isource * hpxyz(mx, my, 1);
if(h[0] >= -1e-7 && h[1] >= -1e-7 && h[2] >= -1e-7) {
hyperpoint ht = target * h;
int tw = texture::config.data.twidth;
int x = int(ht[0] * tw) & (tw-1);
int y = int(ht[1] * tw) & (tw-1);
color_t c = texture::config.data.texture_pixels[y * tw + x];
auto& pix = qpixel(s, mx, my);
for(int p=0; p<3; p++) {
int alpha = part(c, 3) * part(col, 0);
auto& v = part(pix, p);
v = ((255*255 - alpha) * 255 * v + alpha * part(col, p+1) * part(c, p) + 255 * 255 * 255/2 + 1) / (255 * 255 * 255);
}
}
}
}
#endif
#if CAP_GL
void glapplymatrix(const transmatrix& V);
#if MINIMIZE_GL_CALLS
color_t triangle_color, line_color;
vector<glvertex> triangle_vertices;
vector<glvertex> line_vertices;
#endif
color_t text_color;
int text_shift;
GLuint text_texture;
int texts_merged;
int shapes_merged;
vector<glhr::textured_vertex> text_vertices;
void glflush() {
#if MINIMIZE_GL_CALLS
if(isize(triangle_vertices)) {
// printf("%08X %08X | %d shapes, %d/%d vertices\n", triangle_color, line_color, shapes_merged, isize(triangle_vertices), isize(line_vertices));
if(triangle_color) {
glhr::be_nontextured();
glapplymatrix(Id);
glhr::current_vertices = NULL;
glhr::vertices(triangle_vertices);
glhr::color2(triangle_color);
glDrawArrays(GL_TRIANGLES, 0, isize(triangle_vertices));
}
triangle_vertices.clear();
}
if(isize(line_vertices)) {
if(line_color) {
glhr::be_nontextured();
glapplymatrix(Id);
glhr::current_vertices = NULL;
glhr::vertices(line_vertices);
glhr::color2(line_color);
glDrawArrays(GL_LINES, 0, isize(line_vertices));
}
line_vertices.clear();
}
shapes_merged = 0;
#endif
if(isize(text_vertices)) {
// printf("%08X | %d texts, %d vertices\n", text_color, texts_merged, isize(text_vertices));
current_display->set_projection(0, false);
glhr::be_textured();
glBindTexture(GL_TEXTURE_2D, text_texture);
glhr::color2(text_color);
glhr::set_depthtest(false);
for(int ed = (current_display->stereo_active() && text_shift)?-1:0; ed<2; ed+=2) {
if(vid.scale < 0)
glhr::set_modelview(glhr::translate(-ed*text_shift-current_display->xcenter,-current_display->ycenter, current_display->scrdist_text) * glhr::scale(-1,-1,-1));
else
glhr::set_modelview(glhr::translate(-ed*text_shift-current_display->xcenter,-current_display->ycenter, current_display->scrdist_text));
current_display->set_mask(ed);
glhr::current_vertices = NULL;
glhr::prepare(text_vertices);
glDrawArrays(GL_TRIANGLES, 0, isize(text_vertices));
GLERR("print");
}
if(current_display->stereo_active() && text_shift) current_display->set_mask(0);
texts_merged = 0;
text_vertices.clear();
}
}
void glapplymatrix(const transmatrix& V) {
GLfloat mat[16];
int id = 0;
for(int y=0; y<3; y++) {
for(int x=0; x<3; x++) mat[id++] = V[x][y];
mat[id++] = 0;
}
mat[12] = 0;
mat[13] = 0;
mat[14] = (glhr::current_shader_projection != glhr::shader_projection::band) ? GLfloat(vid.alpha) : 0;
mat[15] = 1;
if(vid.stretch != 1) mat[1] *= vid.stretch, mat[5] *= vid.stretch, mat[9] *= vid.stretch, mat[13] *= vid.stretch;
if(conformal::model_has_orientation())
for(int a=0; a<4; a++)
conformal::apply_orientation(mat[a*4], mat[a*4+1]);
glhr::set_modelview(glhr::as_glmatrix(mat));
}
void dqi_poly::gldraw() {
auto& v = *tab;
#if MINIMIZE_GL_CALLS
if(current_display->stereo_active() == 0 && !tinf && (color == 0 || ((flags & (POLY_VCONVEX | POLY_CCONVEX)) && !(flags & (POLY_INVERSE | POLY_FORCE_INVERTED))))) {
if(color != triangle_color || outline != line_color || texts_merged) {
glflush();
triangle_color = color;
line_color = outline;
}
shapes_merged++;
if((flags & POLY_CCONVEX) && !(flags & POLY_VCONVEX)) {
vector<glvertex> v2(cnt+1);
for(int i=0; i<cnt+1; i++) v2[i] = glhr::pointtogl( V * glhr::gltopoint( v[offset+i-1] ) );
if(color) for(int i=0; i<cnt; i++) triangle_vertices.push_back(v2[0]), triangle_vertices.push_back(v2[i]), triangle_vertices.push_back(v2[i+1]);
for(int i=1; i<cnt; i++) line_vertices.push_back(v2[i]), line_vertices.push_back(v2[i+1]);
}
else {
vector<glvertex> v2(cnt);
for(int i=0; i<cnt; i++) v2[i] = glhr::pointtogl( V * glhr::gltopoint( v[offset+i] ) );
if(color) for(int i=2; i<cnt-1; i++) triangle_vertices.push_back(v2[0]), triangle_vertices.push_back(v2[i-1]), triangle_vertices.push_back(v2[i]);
for(int i=1; i<cnt; i++) line_vertices.push_back(v2[i-1]), line_vertices.push_back(v2[i]);
}
return;
}
else glflush();
#endif
if(tinf) {
#if CAP_TEXTURE
glhr::be_textured();
glBindTexture(GL_TEXTURE_2D, tinf->texture_id);
glhr::vertices_texture(v, tinf->tvertices);
#endif
}
else {
glhr::be_nontextured();
#if !ISANDROID
glhr::vertices(v);
#else
if(glhr::current_vertices != &v[offset]) {
glhr::current_vertices = &v[offset];
glVertexAttribPointer(glhr::aPosition, 3, GL_FLOAT, GL_FALSE, sizeof(glvertex), &v[offset]);
// glVertexPointer(3, GL_FLOAT, sizeof(glvertex), &v[ps]);
// glhr::vertices(v);
}
offset = 0;
#endif
}
for(int ed = current_display->stereo_active() ? -1 : 0; ed<2; ed+=2) {
if(ed) current_display->set_projection(ed, true), current_display->set_viewport(ed);
bool draw = color;
if(shaderside_projection) {
if(glhr::current_shader_projection == glhr::shader_projection::band && V[2][2] > 1e8) continue;
glapplymatrix(V);
}
if(draw) {
if(true) {
glEnable(GL_STENCIL_TEST);
glColorMask( GL_FALSE,GL_FALSE,GL_FALSE,GL_FALSE );
glhr::set_depthtest(false);
glStencilOp( GL_INVERT, GL_INVERT, GL_INVERT);
glStencilFunc( GL_ALWAYS, 0x1, 0x1 );
glhr::color2(0xFFFFFFFF);
glDrawArrays(tinf ? GL_TRIANGLES : GL_TRIANGLE_FAN, offset, cnt);
current_display->set_mask(ed);
glhr::color2(color);
glhr::set_depthtest(model_needs_depth());
if(flags & (POLY_INVERSE | POLY_FORCE_INVERTED)) {
glStencilOp( GL_ZERO, GL_ZERO, GL_ZERO);
glStencilFunc( GL_NOTEQUAL, 1, 1);
GLfloat xx = vid.xres;
GLfloat yy = vid.yres;
GLfloat dist = shaderside_projection ? current_display->scrdist : 0;
vector<glvertex> scr = {
make_array<GLfloat>(-xx, -yy, dist),
make_array<GLfloat>(+xx, -yy, dist),
make_array<GLfloat>(+xx, +yy, dist),
make_array<GLfloat>(-xx, +yy, dist)
};
glhr::vertices(scr);
glhr::id_modelview();
glDrawArrays(tinf ? GL_TRIANGLES : GL_TRIANGLE_FAN, 0, 4);
glhr::vertices(v);
if(shaderside_projection) glapplymatrix(V);
}
else {
glStencilOp( GL_ZERO, GL_ZERO, GL_ZERO);
glStencilFunc( GL_EQUAL, 1, 1);
glDrawArrays(tinf ? GL_TRIANGLES : GL_TRIANGLE_FAN, offset, cnt);
}
glDisable(GL_STENCIL_TEST);
}
else {
glhr::color2(color);
glhr::set_depthtest(model_needs_depth());
glDrawArrays(GL_TRIANGLE_FAN, offset, cnt);
}
}
if(outline) {
glhr::color2(outline);
glhr::set_depthtest(model_needs_depth());
glDrawArrays(GL_LINE_STRIP, offset, cnt);
}
}
if(current_display->stereo_active()) current_display->set_projection(0, true), current_display->set_viewport(0), current_display->set_mask(0);
}
#endif
double scale_at(const transmatrix& T) {
using namespace hyperpoint_vec;
hyperpoint h1, h2, h3;
applymodel(tC0(T), h1);
applymodel(T * xpush0(.01), h2);
applymodel(T * ypush(.01) * C0, h3);
return sqrt(hypot2(h2-h1) * hypot2(h3-h1) / .0001);
}
double linewidthat(const hyperpoint& h) {
if(!(vid.antialias & AA_LINEWIDTH)) return 1;
else if(hyperbolic && pmodel == mdDisk && vid.alpha == 1) {
double dz = h[2];
if(dz < 1 || abs(dz-current_display->scrdist) < 1e-6) return 1;
else {
double dx = sqrt(dz * dz - 1);
double dfc = dx/(dz+1);
dfc = 1 - dfc*dfc;
return dfc;
}
}
else if(svg::in) {
using namespace hyperpoint_vec;
hyperpoint h0 = h / zlevel(h);
transmatrix T = rgpushxto0(h0);
return scale_at(T);
}
return 1;
}
// -radius to +3radius
int mercator_coord;
int mercator_loop_min = 0, mercator_loop_max = 0;
ld mercator_period;
void fixMercator(bool tinf) {
if(pmodel == mdBand)
mercator_period = 4 * current_display->radius;
else
mercator_period = 2 * current_display->radius;
if(!conformal::model_straight)
for(auto& g: glcoords)
conformal::apply_orientation(g[0], g[1]);
if(pmodel == mdSinusoidal)
for(int i = 0; i<isize(glcoords); i++)
glcoords[i][mercator_coord] /= cos(glcoords[i][1] / current_display->radius / vid.stretch * M_PI);
ld hperiod = mercator_period / 2;
mercator_coord = 0;
auto dist = [] (ld a, ld b) { return max(b, a-b); };
ld chypot = hypot(dist(vid.xres, current_display->xcenter), dist(vid.yres, current_display->ycenter));
ld cmin = -chypot/2, cmax = chypot/2, dmin = -chypot, dmax = chypot;
if(mercator_coord)
swap(cmin, dmin), swap(cmax, dmax);
if(pmodel == mdSinusoidal)
dmin = -vid.stretch * current_display->radius / 2, dmax = vid.stretch * current_display->radius / 2;
if(pmodel == mdBandEquidistant)
dmin = -vid.stretch * current_display->radius / 2, dmax = vid.stretch * current_display->radius / 2;
if(pmodel == mdBandEquiarea)
dmin = -vid.stretch * current_display->radius / M_PI, dmax = vid.stretch * current_display->radius / M_PI;
for(int i = 0; i<isize(glcoords); i++) {
while(glcoords[0][mercator_coord] < hperiod) glcoords[0][mercator_coord] += mercator_period;
while(glcoords[0][mercator_coord] > hperiod) glcoords[0][mercator_coord] -= mercator_period;
}
ld first = glcoords[0][mercator_coord];
ld next = first;
ld mincoord = first, maxcoord = first;
for(int i = 0; i<isize(glcoords); i++) {
while(glcoords[i][mercator_coord] < next - hperiod)
glcoords[i][mercator_coord] += mercator_period;
while(glcoords[i][mercator_coord] > next + hperiod)
glcoords[i][mercator_coord] -= mercator_period;
next = glcoords[i][mercator_coord];
mincoord = min<ld>(mincoord, glcoords[i][mercator_coord]);
maxcoord = max<ld>(maxcoord, glcoords[i][mercator_coord]);
}
if(abs(mincoord) > 50000 || abs(maxcoord) > 50000 || std::isnan(mincoord) || std::isnan(maxcoord)) {
mercator_loop_max--;
return;
}
ld last = first;
while(last < next - hperiod) last += mercator_period;
while(last > next + hperiod) last -= mercator_period;
if(first == last) {
while(mincoord > cmin)
mercator_loop_min--, mincoord -= mercator_period;
while(maxcoord < cmax)
mercator_loop_max++, maxcoord += mercator_period;
if(pmodel == mdSinusoidal)
for(int i = 0; i<isize(glcoords); i++)
glcoords[i][mercator_coord] *= cos(glcoords[i][1] / current_display->radius / vid.stretch * M_PI);
if(!conformal::model_straight)
for(auto& g: glcoords)
conformal::apply_orientation(g[1], g[0]);
}
else {
if(tinf) {
// this cannot work in Mercator
mercator_loop_max--; return;
}
if(last < first) {
reverse(glcoords.begin(), glcoords.end());
swap(first, last);
}
while(maxcoord > cmin) {
for(int i=0; i<isize(glcoords); i++) glcoords[i][mercator_coord] -= mercator_period;
first -= mercator_period; last -= mercator_period;
mincoord -= mercator_period; maxcoord -= mercator_period;
}
int base = isize(glcoords);
int minto = mincoord;
while(minto < cmax) {
for(int i=0; i<base; i++) {
glcoords.push_back(glcoords[isize(glcoords)-base]);
glcoords.back()[mercator_coord] += mercator_period;
}
minto += mercator_period;
}
if(pmodel == mdSinusoidal)
for(int i = 0; i<isize(glcoords); i++)
glcoords[i][mercator_coord] *= cos(glcoords[i][1] / current_display->radius / vid.stretch * M_PI);
glcoords.push_back(glcoords.back());
glcoords.push_back(glcoords[0]);
for(int u=1; u<=2; u++) {
auto& v = glcoords[isize(glcoords)-u][1-mercator_coord];
v = v < 0 ? dmin : dmax;
}
if(!conformal::model_straight)
for(auto& g: glcoords)
conformal::apply_orientation(g[1], g[0]);
/* printf("cycling %d -> %d\n", base, qglcoords);
for(int a=0; a<qglcoords; a++)
printf("[%3d] %10.5lf %10.5lf\n", a, glcoords[a][0], glcoords[a][1]); */
}
}
unsigned char& part(color_t& col, int i) {
unsigned char* c = (unsigned char*) &col; return c[i];
}
bool in_twopoint = false;
ld glhypot2(glvertex a, glvertex b) {
return (a[0]-b[0]) * (a[0]-b[0]) + (a[1]-b[1]) * (a[1]-b[1]) + (a[2]-b[2]) * (a[2]-b[2]);
}
void compute_side_by_centerin(dqi_poly *p, bool& nofill) {
hyperpoint hscr;
hyperpoint h1 = p->V * p->intester;
if(is_behind(h1)) {
if(sphere) {
for(int i=0; i<3; i++) h1[i] = -h1[i];
poly_flags &= ~POLY_CENTERIN;
}
else
nofill = true;
}
applymodel(h1, hscr); hscr[0] *= current_display->radius; hscr[1] *= current_display->radius * vid.stretch;
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;
outline = (flags & POLY_CENTERIN) ? 0x00FF00FF : 0xFF0000FF;
addpoint(hscr); */
}
/*
if(poly_flags & POLY_BADCENTERIN) {
glcoords.push_back(make_array<GLfloat>(hscr[0]+10, hscr[1]*vid.stretch, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0], hscr[1]*vid.stretch+10, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0]-10, hscr[1]*vid.stretch, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0], hscr[1]*vid.stretch-10, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0]+10, hscr[1]*vid.stretch, hscr[2]));
} */
}
void compute_side_by_area() {
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];
rarea += glcoords.back()[0] * glcoords[0][1] - glcoords.back()[1] * glcoords[0][0];
if(rarea>0)
poly_flags ^= POLY_INVERSE;
}
ld get_width(dqi_poly* p) {
if(p->flags & POLY_PRECISE_WIDE) {
ld maxwidth = 0;
for(int i=0; i<p->cnt; i++) {
hyperpoint h1 = p->V * glhr::gltopoint((*p->tab)[p->offset+i]);
maxwidth = max(maxwidth, linewidthat(h1));
}
return maxwidth * p->linewidth;
}
else if(p->flags & POLY_FORCEWIDE)
return p->linewidth;
else
return linewidthat(tC0(p->V)) * p->linewidth;
}
void dqi_poly::draw() {
dynamicval<ld> bs(hr::band_shift, band_shift);
if(!hyperbolic && among(pmodel, mdPolygonal, mdPolynomial)) {
bool any = false;
for(int i=0; i<cnt; i++) {
hyperpoint h1 = V * glhr::gltopoint((*tab)[offset+i]);
if(h1[2] > 0) any = true;
}
if(!any) return;
}
if(sphere && tinf && cnt > 3) {
int i = cnt;
cnt = 3;
for(int j=0; j<i; j+=3) {
offset = j;
draw();
}
cnt = i;
offset = 0;
return;
}
if(sphere && pmodel == mdTwoPoint && !in_twopoint) {
#define MAX_PHASE 4
vector<glvertex> phases[MAX_PHASE];
extern int twopoint_sphere_flips;
extern bool twopoint_do_flips;
int pha;
if(twopoint_do_flips) {
for(int i=0; i<cnt; i++) {
hyperpoint h1 = V * glhr::gltopoint((*tab)[offset+i]);
for(int j=0; j<MAX_PHASE; j++) {
twopoint_sphere_flips = j;
hyperpoint h2; applymodel(h1, h2);
using namespace hyperpoint_vec;
glvertex h = glhr::pointtogl(h2 * current_display->radius); h[1] *= vid.stretch;
if(i == 0)
phases[j].push_back(h);
else {
int best = -1;
ld bhypot = 1e60;
for(int j0=0; j0<MAX_PHASE; j0++)
if(isize(phases[j0]) == i) {
ld chypot = glhypot2(phases[j0].back(), h);
if(chypot < bhypot || best == -1) bhypot = chypot, best = j0;
}
phases[best].push_back(h);
}
}
}
twopoint_sphere_flips = 0;
pha = MAX_PHASE-1;
}
else {
pha = 1;
if(true) {
// a
// b
// lin(a,b) is of form (x, 0, z)
int cpha = 0;
for(int i=0; i<cnt; i++) {
using namespace hyperpoint_vec;
hyperpoint h1 = V * glhr::gltopoint((*tab)[offset+i]);
hyperpoint mh1; applymodel(h1, mh1); mh1[1] *= vid.stretch;
phases[cpha].push_back(glhr::pointtogl(mh1 * current_display->radius));
// check if the i-th edge intersects the boundary of the ellipse
// (which corresponds to the segment between the antipodes of foci)
// if yes, switch cpha to the opposite
hyperpoint h2 = V * glhr::gltopoint((*tab)[offset+(i+1)%cnt]);
hyperpoint ah1 = h1, ah2 = h2;
conformal::apply_orientation(ah1[0], ah1[1]);
conformal::apply_orientation(ah2[0], ah2[1]);
if(ah1[1] * ah2[1] > 0) continue;
ld c1 = ah1[1], c2 = -ah2[1];
if(c1 < 0) c1 = -c1, c2 = -c2;
hyperpoint h = ah1 * c1 + ah2 * c2;
h /= hypot3(h);
if(h[2] < 0 && abs(h[0]) < sin(vid.twopoint_param)) cpha = 1-cpha, pha = 2;
}
if(cpha == 1) pha = 0;
}
}
vector<glvertex> tv;
if(tinf) {
for(int i=0; i<cnt; i++)
tv.push_back(tinf->tvertices[offset+i]);
swap(tinf->tvertices, tv);
}
dynamicval<eModel> d1(pmodel, mdUnchanged);
dynamicval<transmatrix> d2(V, Id);
dynamicval<int> d3(offset, 0);
dynamicval<decltype(tab)> d4(tab, tab);
for(int j=0; j<pha; j++) {
dynamicval<int> d5(cnt, isize(phases[j]));
tab = &phases[j];
draw();
}
if(tinf) swap(tinf->tvertices, tv);
return;
}
/* if(spherespecial && prio == PPR::MOBILE_ARROW) {
if(spherephase == 0) return;
dynamicval<int> ss(spherespecial, 0);
draw();
return;
} */
#if CAP_GL
if(vid.usingGL && shaderside_projection) {
glLineWidth(get_width(this));
flags &= ~POLY_INVERSE;
gldraw();
return;
}
#endif
glcoords.clear();
poly_flags = flags;
double d = 0, curradius = 0;
if(sphere) {
d = det(V);
curradius = pow(abs(d), 1/3.);
}
/* outline = 0x80808080;
color = 0; */
last_infront = false;
addpoly(V, *tab, offset, cnt);
if(!(sphere && vid.alpha < .9)) if(pmodel != mdJoukowsky) if(!(flags & POLY_ALWAYS_IN)) 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;
if(sphere && mdBandAny())
fixMercator(tinf);
int poly_limit = max(vid.xres, vid.yres) * 2;
if(0) for(auto& p: glcoords) {
if(abs(p[0]) > poly_limit || abs(p[1]) > poly_limit)
return; // too large!
}
bool equi = mdAzimuthalEqui() || pmodel == mdFisheye;