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more detailed Euclidean embedding parameters
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@@ -665,14 +665,8 @@ EX transmatrix spin(ld alpha) {
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return cspin(0, 1, alpha);
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}
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EX transmatrix logical_to_actual() {
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if(embedded_plane && geom3::euc_in_nil()) return cspin90(2, 1);
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if(embedded_plane && geom3::hyp_in_solnih()) return cspin90(0, 1) * cspin90(1, 2) * cspin90(0, 1);
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return Id;
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}
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EX transmatrix unswap_spin(transmatrix T) {
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return ortho_inverse(logical_to_actual()) * T * logical_to_actual();
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return cgi.actual_to_logical * T * cgi.logical_to_actual;
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}
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/** rotate by 90 degrees in the XY plane */
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@@ -896,11 +890,6 @@ EX transmatrix matrix4(ld a, ld b, ld c, ld d, ld e, ld f, ld g, ld h, ld i, ld
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#endif
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}
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EX void euc_in_sph_rescale(hyperpoint& h) {
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h[0] *= TAU * geom3::euclid_embed_scale;
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h[1] *= TAU * geom3::euclid_embed_scale;
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}
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#if MAXMDIM >= 4
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/** Transform a matrix between the 'embedded_plane' and underlying representation. Switches to the current variant. */
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EX void swapmatrix(transmatrix& T) {
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@@ -926,17 +915,17 @@ EX void swapmatrix(transmatrix& T) {
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}
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else if(geom3::euc_in_nil()) {
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if(!geom3::flipped) {
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hyperpoint h1 = get_column(T, 2);
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hyperpoint h1 = cgi.logical_to_actual * get_column(T, 2);
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// rotations are illegal anyway...
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T = eupush(hyperpoint(h1[0] * geom3::euclid_embed_scale, 0, h1[1] * geom3::euclid_embed_scale, 1));
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T = eupush(hyperpoint(h1[0], 0, h1[2], 1));
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return;
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}
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}
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else if(geom3::euc_in_solnih()) {
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if(!geom3::flipped) {
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hyperpoint h1 = get_column(T, 2);
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hyperpoint h1 = cgi.logical_to_actual * get_column(T, 2);
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// rotations are illegal anyway...
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T = eupush(hyperpoint(h1[0] * geom3::euclid_embed_scale, h1[1] * geom3::euclid_embed_scale, 0, 1));
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T = eupush(hyperpoint(h1[0], h1[1], 0, 1));
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return;
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}
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}
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@@ -944,8 +933,7 @@ EX void swapmatrix(transmatrix& T) {
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/* just do nothing */
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}
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else if(geom3::euc_in_sph()) {
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hyperpoint h1 = get_column(T, 2);
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euc_in_sph_rescale(h1);
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hyperpoint h1 = cgi.logical_to_actual * get_column(T, 2);
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T = cspin(0, 2, h1[0]) * cspin(1, 3, h1[1]);
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}
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else {
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@@ -965,12 +953,13 @@ EX void swapmatrix(hyperpoint& h) {
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if(geom3::in_product()) return;
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if(geom3::sph_in_euc()) { h[3] = 1; return; }
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if(geom3::sph_in_hyp()) { h[0] *= sinh(1); h[1] *= sinh(1); h[2] *= sinh(1); h[3] = cosh(1); return; }
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if(geom3::euc_in_nil()) { h[3] = 1; h[2] = h[1] * geom3::euclid_embed_scale; h[1] = 0; h[0] *= geom3::euclid_embed_scale; return; }
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if(geom3::euc_in_nil()) { h = cgi.logical_to_actual * h; h[3] = 1; h[1] = 0; return; }
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if(geom3::euc_in_sph()) {
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euc_in_sph_rescale(h); h = cspin(0, 2, h[0]) * cspin(1, 3, h[1]) * lzpush(1) * C0;
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h = cgi.logical_to_actual * h;
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h = cspin(0, 2, h[0]) * cspin(1, 3, h[1]) * lzpush(1) * C0;
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return;
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}
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if(geom3::euc_in_solnih()) { h[3] = 1; h[1] = h[1] * geom3::euclid_embed_scale; h[2] = 0; h[0] *= geom3::euclid_embed_scale; return; }
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if(geom3::euc_in_solnih()) { h = cgi.logical_to_actual * h; h[3] = 1; h[2] = 0; return; }
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if(geom3::hyp_in_solnih()) {
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// copied from deparabolic13
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h /= (1 + h[2]);
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