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shift_view with geodesic-movement disabled is now based on Lie exponentials (NYI: SL2, Berger)
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39
hypgraph.cpp
39
hypgraph.cpp
@ -2952,16 +2952,47 @@ EX void rotate_view(transmatrix T) {
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if(!prod && !rug::rugged) current_display->which_copy = T * current_display->which_copy;
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}
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EX hyperpoint lie_exp(hyperpoint h) {
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if(nil) {
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h[3] = 1;
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h[2] += h[0] * h[1] / 2;
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}
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else if(sol) {
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h[3] = 1;
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h[0] *= (exp(-h[2]) - 1) / -h[2];
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h[1] *= (exp(+h[2]) - 1) / h[2];
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}
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else if(sol && nih) {
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h[3] = 1;
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ld z = h[2] * log(2);
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h[0] *= (exp(-z) - 1) / -z;
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z = h[2] * log(3);
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h[1] *= (exp(+z) - 1) / z;
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}
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else if(nih) {
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h[3] = 1;
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ld z = h[2] * log(2);
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h[0] *= (exp(+z) - 1) / z;
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z = h[2] * log(3);
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h[1] *= (exp(+z) - 1) / z;
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}
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else if(sl2) {
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/* not implemented */
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}
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return h;
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}
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/** shift the view according to the given tangent vector */
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EX transmatrix get_shift_view_of(const hyperpoint H, const transmatrix V) {
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if(!nonisotropic && !stretch::in()) {
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return rgpushxto0(direct_exp(lp_iapply(H))) * V;
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}
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else if(!nisot::geodesic_movement) {
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transmatrix IV = view_inverse(V);
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nisot::fixmatrix(IV);
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const transmatrix V1 = iview_inverse(IV);
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return V1 * eupush(IV * eupush(H) * V1 * C0);
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transmatrix IV = view_inverse(View);
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transmatrix view_shift = eupush( tC0(IV) );
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transmatrix rot = View * view_shift;
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hyperpoint tH = lie_exp(inverse(rot) * H);
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return rot * eupush(tH) * inverse(view_shift);
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}
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else {
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return iview_inverse(nisot::parallel_transport(view_inverse(V), -H));
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