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ads:: future in AdS shown correctly (using light-like geodesics); show future for dS

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Zeno Rogue
2022-09-25 22:20:18 +02:00
parent c49b320330
commit 4af232e9c1
3 changed files with 55 additions and 14 deletions
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rogueviz/ads/math.cpp
+13
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@@ -145,6 +145,19 @@ cross_result cross0(ads_matrix hz) {
return cross_result{uhzt, t};
}
/** Similar as cross0_light but for light-like wordlines.
* The point returned by cross0_light(T) is the same as the limit of cross0(T * lorentz(0, 2, v)).
**/
cross_result cross0_light(ads_matrix hz) {
transmatrix uhz = unshift(hz);
ld t = uhz[2][3] / -(uhz[2][2] + uhz[2][0]);
hyperpoint uhzt = uhz * hyperpoint(t, 0, t, 1);
tie(uhzt[2], uhzt[3]) = make_pair(uhzt[3], -uhzt[2]);
if(uhzt[2] < 0) uhzt = -uhzt;
return cross_result{uhzt, t};
}
/** sample from Poisson distribution */
int rpoisson(ld lambda) {
ld prob = randd();