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Code Issues Releases Wiki Activity

Mollweide projection

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Zeno Rogue
2019-08-14 08:23:09 +02:00
parent 843a53d07c
commit 10a8b8660b
5 changed files with 60 additions and 22 deletions
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25
hypgraph.cpp
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@@ -656,6 +656,27 @@ EX void applymodel(hyperpoint H, hyperpoint& ret) {
makeband(H, ret, make_twopoint);
break;
case mdMollweide:
makeband(H, ret, [] (ld& x, ld& y) {
ld theta =
hyperbolic ? min(y / 2 + 0.572365, y * 0.78509) :
euclid ? y :
y > 0 ? max(y * 0.012/0.015, M_PI/2 - (M_PI/2-y) * 0.066262/0.015708) :
min(y * 0.012/0.015, -M_PI/2 + (M_PI/2+y) * 0.066262/0.015708);
if(sphere && abs(theta) >= M_PI/2 - 1e-6) ;
else {
for(int it=0; it<4; it++) {
auto a = (sin_auto(2*theta) +2*theta - M_PI * sin_auto(y));
auto b = (2 + 2 * cos_auto(2*theta));
theta = theta - a / b;
// theta = theta - (sinh(2*theta) +2*K*theta - M_PI * sinh(y)) / (2 * K + 2 * cosh(2*theta));
} }
y = M_PI * sin_auto(theta) / 2;
x = x * cos_auto(theta);
});
break;
case mdBandEquiarea:
makeband(H, ret, [] (ld& x, ld& y) { y = sin_auto(y); });
break;
@@ -1629,7 +1650,7 @@ EX void draw_boundary(int w) {
dynamicval<ld> dw(vid.linewidth, vid.linewidth * (svg::in ? svg::divby : 1));
#endif
if(elliptic && !among(pmodel, mdBand, mdBandEquidistant, mdBandEquiarea, mdSinusoidal))
if(elliptic && !among(pmodel, mdBand, mdBandEquidistant, mdBandEquiarea, mdSinusoidal, mdMollweide))
circle_around_center(M_PI/2, periodcolor, 0, PPR::CIRCLE);
switch(pmodel) {
@@ -1658,7 +1679,7 @@ EX void draw_boundary(int w) {
return;
}
case mdBand: case mdBandEquidistant: case mdBandEquiarea: case mdSinusoidal: {
case mdBand: case mdBandEquidistant: case mdBandEquiarea: case mdSinusoidal: case mdMollweide: {
if(DIM == 3) return;
if(pmodel == mdBand && models::model_transition != 1) return;
bool bndband = ((pmodel == mdBand) ? hyperbolic : sphere);