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mobius transform refactored

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Zeno Rogue 2018-11-07 07:20:36 +01:00
parent e0afc2b83d
commit a3446e8a7b
1 changed files with 10 additions and 10 deletions
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20
hypgraph.cpp
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@ -218,6 +218,13 @@ void make_twopoint(ld& x, ld& y) {
y = (y>0?1:-1) * sqrt(dleft * dleft - (x-p)*(x-p) + 1e-9); y = (y>0?1:-1) * sqrt(dleft * dleft - (x-p)*(x-p) + 1e-9);
} }
hyperpoint mobius(hyperpoint h, ld angle, ld scale = 1) {
using namespace hyperpoint_vec;
h = perspective_to_space(h * scale, 1, gcSphere);
h = rotmatrix(angle * M_PI / 180, 1, 2) * h;
return space_to_perspective(h, 1) / scale;
}
void applymodel(hyperpoint H, hyperpoint& ret) { void applymodel(hyperpoint H, hyperpoint& ret) {
using namespace hyperpoint_vec; using namespace hyperpoint_vec;
@ -369,11 +376,7 @@ void applymodel(hyperpoint H, hyperpoint& ret) {
static ld last_skiprope = 0; static ld last_skiprope = 0;
static transmatrix lastmatrix; static transmatrix lastmatrix;
if(vid.skiprope != last_skiprope) { if(vid.skiprope != last_skiprope) {
hyperpoint r = hpxyz(0, 0, 1); ret = mobius(C0, -vid.skiprope, 2);
hyperpoint h = perspective_to_space(r, 1, gcSphere);
hyperpoint h1 = rotmatrix(-vid.skiprope * M_PI / 180, 1, 2) * h;
hyperpoint ret = space_to_perspective(h1, 1) / 2;
typedef complex<ld> cld;
const cld c1(1, 0); const cld c1(1, 0);
const cld c2(2, 0); const cld c2(2, 0);
const cld c4(4, 0); const cld c4(4, 0);
@ -401,11 +404,8 @@ void applymodel(hyperpoint H, hyperpoint& ret) {
ret[1] = (a * r - b/r) * s / 2; ret[1] = (a * r - b/r) * s / 2;
ret[2] = 0; ret[2] = 0;
if(vid.skiprope) { if(vid.skiprope)
hyperpoint h = perspective_to_space(ret * 2, 1, gcSphere); ret = mobius(ret, vid.skiprope, 2);
h = rotmatrix(vid.skiprope * M_PI / 180, 1, 2) * h;
ret = space_to_perspective(h, 1) / 2;
}
if(pmodel == mdJoukowskyInverted) { if(pmodel == mdJoukowskyInverted) {
ld r2 = sqhypot2(ret); ld r2 = sqhypot2(ret);