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display the fundamental domain in the Euclidean torus setting

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Zeno Rogue 2019-11-27 01:04:15 +01:00
parent 999eec6650
commit e01411f98f
1 changed files with 25 additions and 0 deletions
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25
euclid.cpp
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@ -623,6 +623,29 @@ EX namespace euclid3 {
twisted_edit = twisted0; twisted_edit = twisted0;
} }
EX void show_fundamental() {
initquickqueue();
transmatrix M = ggmatrix(cwt.at);
hyperpoint h0 = M*C0;
hyperpoint ha = M*(eumove(ascoord(T_edit[0])) * C0 - C0) / 2;
hyperpoint hb = M*(eumove(ascoord(T_edit[1])) * C0 - C0) / 2;
if(WDIM == 3) {
hyperpoint hc = M*(eumove(ascoord(T_edit[2])) * C0 - C0) / 2;
for(int d:{-1,1}) for(int e:{-1,1}) {
queueline(h0+d*ha+e*hb-hc, h0+d*ha+e*hb+hc, 0xFFFFFFFF);
queueline(h0+d*hb+e*hc-ha, h0+d*hb+e*hc+ha, 0xFFFFFFFF);
queueline(h0+d*hc+e*ha-hb, h0+d*hc+e*ha+hb, 0xFFFFFFFF);
}
}
else {
queueline(h0+ha+hb, h0+ha-hb, 0xFFFFFFFF);
queueline(h0-ha+hb, h0-ha-hb, 0xFFFFFFFF);
queueline(h0+ha+hb, h0-ha+hb, 0xFFFFFFFF);
queueline(h0+ha-hb, h0-ha-hb, 0xFFFFFFFF);
}
quickqueue();
}
EX void show_torus3() { EX void show_torus3() {
int dim = WDIM; int dim = WDIM;
cmode = sm::SIDE | sm::MAYDARK | sm::TORUSCONFIG; cmode = sm::SIDE | sm::MAYDARK | sm::TORUSCONFIG;
@ -637,6 +660,7 @@ EX namespace euclid3 {
dialog::addBreak(50); dialog::addBreak(50);
show_fundamental();
if(dim == 3) { if(dim == 3) {
bool nondiag = false; bool nondiag = false;
for(int i=0; i<dim; i++) for(int i=0; i<dim; i++)
@ -727,6 +751,7 @@ EX namespace euclid3 {
"not implemented.)" "not implemented.)"
) )
); );
dialog::extra_options = show_fundamental;
}); });
} }
} }