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Mollweide projection

This commit is contained in:
Zeno Rogue
2019-08-14 08:23:09 +02:00
parent 843a53d07c
commit 10a8b8660b
5 changed files with 60 additions and 22 deletions

View File

@@ -686,20 +686,34 @@ int mercator_coord;
int mercator_loop_min = 0, mercator_loop_max = 0;
ld mercator_period;
ld period_at(ld y) {
ld m = current_display->radius;
y /= (m * vid.stretch);
switch(pmodel) {
case mdBand:
return m * 4;
case mdSinusoidal:
return m * 2 * cos(y * M_PI);
case mdMollweide:
return (abs(y) > .5-1e-6) ? m * 2 : m * 2 * sqrt(1 - y*y*4);
default:
return m * 2;
}
}
void fixMercator(bool tinf) {
if(pmodel == mdBand)
mercator_period = 4 * current_display->radius;
else
mercator_period = 2 * current_display->radius;
mercator_period = period_at(0);
if(!models::model_straight)
for(auto& g: glcoords)
models::apply_orientation(g[0], g[1]);
if(pmodel == mdSinusoidal)
if(among(pmodel, mdSinusoidal, mdMollweide))
for(int i = 0; i<isize(glcoords); i++)
glcoords[i][mercator_coord] /= cos(glcoords[i][1] / current_display->radius / vid.stretch * M_PI);
glcoords[i][mercator_coord] *= mercator_period / period_at(glcoords[i][1-mercator_coord]);
ld hperiod = mercator_period / 2;
@@ -720,10 +734,10 @@ void fixMercator(bool tinf) {
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;
}
// 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;
@@ -754,9 +768,9 @@ void fixMercator(bool tinf) {
mercator_loop_min--, mincoord -= mercator_period;
while(maxcoord < cmax)
mercator_loop_max++, maxcoord += mercator_period;
if(pmodel == mdSinusoidal)
if(among(pmodel, mdSinusoidal, mdMollweide))
for(int i = 0; i<isize(glcoords); i++)
glcoords[i][mercator_coord] *= cos(glcoords[i][1] / current_display->radius / vid.stretch * M_PI);
glcoords[i][mercator_coord] *= period_at(glcoords[i][1-mercator_coord]) / mercator_period;
if(!models::model_straight)
for(auto& g: glcoords)
models::apply_orientation(g[1], g[0]);
@@ -784,9 +798,10 @@ void fixMercator(bool tinf) {
}
minto += mercator_period;
}
if(pmodel == mdSinusoidal)
if(among(pmodel, mdSinusoidal, mdMollweide))
for(int i = 0; i<isize(glcoords); i++)
glcoords[i][mercator_coord] *= cos(glcoords[i][1] / current_display->radius / vid.stretch * M_PI);
glcoords[i][mercator_coord] *= period_at(glcoords[i][1-mercator_coord]) / mercator_period;
glcoords.push_back(glcoords.back());
glcoords.push_back(glcoords[0]);
for(int u=1; u<=2; u++) {
@@ -1092,10 +1107,10 @@ void dqi_poly::draw() {
if(l || lastl) {
for(int i=0; i<isize(glcoords); i++) {
if(pmodel == mdSinusoidal) {
if(among(pmodel, mdSinusoidal, mdMollweide)) {
ld y = glcoords[i][1], x = glcoords[i][0];
models::apply_orientation(x, y);
mercator_period = 2 * current_display->radius * cos(y / current_display->radius / vid.stretch * M_PI);
mercator_period = period_at(y);
}
glcoords[i][mercator_coord] += models::ocos * mercator_period * (l - lastl);
glcoords[i][1-mercator_coord] += models::osin * mercator_period * (l - lastl);