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models:: less hacky implementation of looping in pseudocylindrical projections
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parent
876ece1ff6
commit
932c9bac6c
136
drawing.cpp
136
drawing.cpp
@ -685,12 +685,7 @@ EX void set_width(ld w) {
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namespace cyl {
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int loop_min = 0, loop_max = 0;
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ld period;
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auto pzero(ld t) {
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if(abs(t) < 1e-6) return 2 * current_display->radius;
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return t;
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}
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vector<ld> periods;
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ld period_at(ld y) {
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@ -701,13 +696,13 @@ ld period_at(ld y) {
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case mdBand:
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return m * 4;
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case mdSinusoidal:
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return pzero(m * 2 * cos(y * M_PI));
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return m * 2 * cos(y * M_PI);
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case mdMollweide:
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return pzero(m * 2 * sqrt(1 - y*y*4));
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return m * 2 * sqrt(1 - y*y*4);
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case mdCollignon: {
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if(vid.collignon_reflected && y > 0) y = -y;
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y += signed_sqrt(vid.collignon_parameter);
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return pzero(abs(m*y*2/1.2));
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return abs(m*y*2/1.2);
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}
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default:
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return m * 2;
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@ -716,90 +711,91 @@ ld period_at(ld y) {
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void adjust(bool tinf) {
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period = period_at(0);
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periods.resize(isize(glcoords));
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if(!models::model_straight)
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for(auto& g: glcoords)
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models::apply_orientation(g[0], g[1]);
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if(mdPseudocylindrical())
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for(int i = 0; i<isize(glcoords); i++)
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glcoords[i][0] *= period / period_at(glcoords[i][1]);
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for(int i = 0; i<isize(glcoords); i++) periods[i] = period_at(glcoords[i][1]);
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auto dist = [] (ld a, ld b) { return max(b, a-b); };
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ld chypot = hypot(dist(vid.xres, current_display->xcenter), dist(vid.yres, current_display->ycenter));
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ld cmin = -chypot/2, cmax = chypot/2, dmin = -chypot, dmax = chypot;
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ld z = vid.stretch * current_display->radius;
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if(pmodel == mdSinusoidal)
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dmin = -vid.stretch * current_display->radius / 2, dmax = vid.stretch * current_display->radius / 2;
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if(pmodel == mdBandEquidistant)
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dmin = -vid.stretch * current_display->radius / 2, dmax = vid.stretch * current_display->radius / 2;
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if(pmodel == mdBandEquiarea)
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dmin = -vid.stretch * current_display->radius / M_PI, dmax = vid.stretch * current_display->radius / M_PI;
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switch(pmodel) {
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case mdSinusoidal: case mdBandEquidistant: case mdMollweide:
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dmax = z/2, dmin = -dmax;
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break;
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glcoords[0][0] -= round_nearest(glcoords[0][0], period);
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case mdBandEquiarea:
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dmax = z/M_PI, dmin = -dmax;
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break;
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case mdCollignon:
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dmin = z * (signed_sqrt(vid.collignon_parameter - 1) - signed_sqrt(vid.collignon_parameter));
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if(vid.collignon_reflected) dmax = -dmin;
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else dmax = z * (signed_sqrt(vid.collignon_parameter + 1) - signed_sqrt(vid.collignon_parameter));
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break;
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ld first = glcoords[0][0];
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ld next = first;
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ld mincoord = first, maxcoord = first;
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default: ;
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}
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for(int i = 0; i<isize(glcoords); i++) {
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glcoords[i][0] -= round_nearest(glcoords[i][0]-next, period);
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next = glcoords[i][0];
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mincoord = min<ld>(mincoord, glcoords[i][0]);
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maxcoord = max<ld>(maxcoord, glcoords[i][0]);
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bool had = false;
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ld first, next;
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for(int i = 0; i<isize(glcoords); i++) if(periods[i] > 1) {
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if(!had) {
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next = first = glcoords[i][0] / periods[i];
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had = true;
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}
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else {
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glcoords[i][0] /= periods[i];
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glcoords[i][0] -= round_nearest(glcoords[i][0]-next);
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next = glcoords[i][0];
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glcoords[i][0] *= periods[i];
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}
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loop_min = min<int>(loop_min, floor((cmin - glcoords[i][0]) / periods[i]));
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loop_max = max<int>(loop_max, ceil((cmax - glcoords[i][0]) / periods[i]));
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}
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if(abs(mincoord) > 50000 || abs(maxcoord) > 50000 || std::isnan(mincoord) || std::isnan(maxcoord)) {
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loop_max--;
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return;
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}
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if(!had) return;
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ld last = first - round_nearest(first-next, period);
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ld last = first - round_nearest(first-next);
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if(loop_max > 100) loop_max = 100;
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if(loop_min < -100) loop_min = -100;
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if(abs(first - last) < 1e-6) {
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while(mincoord > cmin && loop_min > -100)
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loop_min--, mincoord -= period;
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while(maxcoord < cmax && loop_max < +100)
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loop_max++, maxcoord += period;
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if(mdPseudocylindrical())
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for(int i = 0; i<isize(glcoords); i++)
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glcoords[i][0] *= period_at(glcoords[i][1]) / period;
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if(!models::model_straight)
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for(auto& g: glcoords)
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models::apply_orientation(g[1], g[0]);
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}
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else {
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if(tinf) {
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// this cannot work in Mercator
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loop_max--; return;
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// this cannot work after cycled
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loop_min = 1; loop_max = 0; return;
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}
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if(last < first) {
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reverse(glcoords.begin(), glcoords.end());
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reverse(periods.begin(), periods.end());
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swap(first, last);
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}
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int steps = floor((maxcoord - cmin) / period);
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if(steps) {
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for(int i=0; i<isize(glcoords); i++) glcoords[i][0] -= period * steps;
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first -= period * steps; last -= period * steps;
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mincoord -= period * steps; maxcoord -= period * steps;
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}
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int base = isize(glcoords);
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int minto = mincoord;
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while(minto < cmax) {
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for(int i=0; i<base; i++) {
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glcoords.push_back(glcoords[isize(glcoords)-base]);
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glcoords.back()[0] += period;
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}
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minto += period;
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}
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if(mdPseudocylindrical())
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for(int i = 0; i<isize(glcoords); i++)
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glcoords[i][0] *= period_at(glcoords[i][1]) / period;
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for(int i=0; i<isize(glcoords); i++) glcoords[i][0] += periods[i] * loop_min;
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int base = isize(glcoords);
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for(int i=loop_min; i<loop_max; i++) {
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for(int j=0; j<base; j++) {
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glcoords.push_back(glcoords[isize(glcoords)-base]);
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glcoords.back()[0] += periods[j];
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}
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}
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glcoords.push_back(glcoords.back());
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glcoords.push_back(glcoords[0]);
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for(int u=1; u<=2; u++) {
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@ -809,12 +805,9 @@ void adjust(bool tinf) {
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if(!models::model_straight)
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for(auto& g: glcoords)
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models::apply_orientation(g[1], g[0]);
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/* printf("cycling %d -> %d\n", base, qglcoords);
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for(int a=0; a<qglcoords; a++)
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printf("[%3d] %10.5lf %10.5lf\n", a, glcoords[a][0], glcoords[a][1]); */
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// we have already looped
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loop_min = loop_max = 0;
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}
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}
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}
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@ -1106,13 +1099,8 @@ void dqi_poly::draw() {
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if(l || lastl) {
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for(int i=0; i<isize(glcoords); i++) {
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if(mdPseudocylindrical()) {
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ld y = glcoords[i][1], x = glcoords[i][0];
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models::apply_orientation(x, y);
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cyl::period = cyl::period_at(y);
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}
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glcoords[i][0] += models::ocos * cyl::period * (l - lastl);
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glcoords[i][1] += models::osin * cyl::period * (l - lastl);
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glcoords[i][0] += models::ocos * cyl::periods[i] * (l - lastl);
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glcoords[i][1] += models::osin * cyl::periods[i] * (l - lastl);
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}
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lastl = l;
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}
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