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relativistic projections added

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Zeno Rogue
2022-10-14 00:56:48 +02:00
parent 7a6df6f060
commit a7ca4c2902
5 changed files with 137 additions and 6 deletions
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78
hypgraph.cpp
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@@ -551,6 +551,13 @@ EX void apply_other_model(shiftpoint H_orig, hyperpoint& ret, eModel md) {
return;
}
case mdRelPerspective: {
auto S = rel_log(H_orig); S[3] = 1;
S = lp_apply(S);
apply_perspective(S, ret);
return;
}
case mdPixel:
ret = H / current_display->radius;
return;
@@ -796,6 +803,16 @@ EX void apply_other_model(shiftpoint H_orig, hyperpoint& ret, eModel md) {
break;
}
case mdRelOrthogonal: {
ret = rel_log(H_orig);
ret *= .5;
ret[LDIM] = 1;
if(nonisotropic && !vrhr::rendering()) ret = lp_apply(ret);
break;
}
case mdHemisphere: {
#if CAP_VR
@@ -2354,6 +2371,30 @@ EX void draw_model_elements() {
dynamicval<ld> lw(vid.linewidth, vid.linewidth * vid.multiplier_ring);
switch(pmodel) {
case mdRelOrthogonal:
case mdRelPerspective: {
constexpr ld cc = 3;
if(sl2) for(ld dist: {-0.1, 0.1}) {
transmatrix Lorentz = Id;
Lorentz[0][0] = Lorentz[2][2] = cosh(cc);
Lorentz[0][2] = Lorentz[2][0] = sinh(cc);
hyperpoint h = Lorentz * cspin(3, 2, dist) * C0;
for(int s=0; s<=360; s++)
curvepoint(spin(s*degree) * h);
queuecurve(shiftless(Id), ringcolor, 0, PPR::CIRCLE);
}
if(hyperbolic) for(ld dist: {-0.1, 0.1}) {
transmatrix Lorentz = Id;
Lorentz[0][0] = Lorentz[3][3] = cosh(cc);
Lorentz[0][3] = Lorentz[3][0] = sinh(cc);
hyperpoint h = Lorentz * hyperpoint(0, 0, cosh(dist), sinh(dist));
for(int s=0; s<=360; s++)
curvepoint(spin(s*degree) * h);
queuecurve(shiftless(Id), ringcolor, 0, PPR::CIRCLE);
}
return;
}
case mdRotatedHyperboles: {
queuestr(current_display->xcenter, current_display->ycenter + current_display->radius * pconf.alpha, 0, vid.fsize, "X", ringcolor, 1, 8);
return;
@@ -3055,6 +3096,43 @@ EX hyperpoint lie_exp(hyperpoint h) {
return h;
}
EX hyperpoint rel_log(shiftpoint h) {
if(sl2) {
optimize_shift(h);
ld cycles = floor(h.shift / (2*M_PI) + .5);
hyperpoint h1 = unshift(h);
ld choice = h1[2] * h1[2] - h1[0] * h1[0] - h1[1] * h1[1];
ld r, z;
if(choice > 0) {
ld r = sqrt(choice);
ld z = asin_clamp(r);
if(h1[3] < 0) z = M_PI - z;
z += cycles * 2 * M_PI;
}
else if(cycles || h1[3] < -1 || choice == 0) {
/* impossible, or light-like */
r = 1; z = 0;
}
else {
r = sqrt(-choice);
z = asinh(r);
}
h1 = h1 * z / r;
h1[3] = 0;
return h1;
}
if(hyperbolic && GDIM == 3) {
hyperpoint h1 = h.h;
ld choice = h1[3] * h1[3] - h1[0] * h1[0] - h1[1] * h1[1];
ld r, z;
if(choice > 0) { r = sqrt(choice); z = asinh(r); }
else { r = sqrt(-choice); z = asin_clamp(r); if(h1[2] < 0) z = M_PI - z; }
h1 = h1 * z / r; h1[2] = h1[3]; h1[3] = 0;
return h1;
}
throw hr_exception("rel_log in wrong geometry");
}
EX hyperpoint lie_log(hyperpoint h) {
if(nil) {
h[3] = 0;