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simplified hyperpoint.cpp a bit

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Zeno Rogue
2018-05-20 15:30:43 +02:00
parent 1d3ee8f0a1
commit fc964ec7b2
2 changed files with 20 additions and 28 deletions
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20
hyperpoint.cpp
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@@ -118,24 +118,18 @@ ld atan2_auto(ld y, ld x) {
// by points in 3D space (Minkowski space) such that x^2+y^2-z^2 == -1, z > 0
// (this is analogous to representing a sphere with points such that x^2+y^2+z^2 == 1)
hyperpoint hpxyz(ld x, ld y, ld z) {
// EUCLIDEAN
hyperpoint r; r[0] = x; r[1] = y; r[2] = z; return r;
}
hyperpoint hpxy(ld x, ld y) {
// EUCLIDEAN
return hpxyz(x,y, euclid ? 1 : sphere ? sqrt(1-x*x-y*y) : sqrt(1+x*x+y*y));
}
// center of the pseudosphere
const hyperpoint Hypc = { {0,0,0} };
const hyperpoint Hypc(0,0,0);
// origin of the hyperbolic plane
const hyperpoint C0 = { {0,0,1} };
const hyperpoint C0(0,0,1);
// a point (I hope this number needs no comments ;) )
const hyperpoint Cx1 = { {1,0,1.41421356237} };
const hyperpoint Cx1(1,0,1.41421356237);
// this function returns approximate square of distance between two points
// (in the spherical analogy, this would be the distance in the 3D space,
@@ -207,13 +201,7 @@ ld hypot_auto(ld x, ld y) {
// move H back to the sphere/hyperboloid/plane
hyperpoint normalize(hyperpoint H) {
ld Z;
if(sphere) Z = sqrt(intval(H, Hypc));
else if(!euclid) {
Z = intval(H, Hypc);
Z = sqrt(-Z);
}
else Z = H[2];
ld Z = zlevel(H);
for(int c=0; c<3; c++) H[c] /= Z;
return H;
}